TSTP Solution File: HWV046-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV046-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:13:08 EDT 2022
% Result : Unsatisfiable 71.86s 45.08s
% Output : Proof 75.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV046-1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Wed Aug 31 22:57:22 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 71.86/45.08 % SZS status Unsatisfiable
% 71.86/45.08 % SZS output start Proof
% 71.86/45.08 tff(v193_type, type, (
% 71.86/45.08 v193: $i > $o)).
% 71.86/45.08 tff(constB41_type, type, (
% 71.86/45.08 constB41: $i)).
% 71.86/45.08 tff(sK0_VarCurr_type, type, (
% 71.86/45.08 sK0_VarCurr: $i)).
% 71.86/45.08 tff(constB27_type, type, (
% 71.86/45.08 constB27: $i)).
% 71.86/45.08 tff(v205_type, type, (
% 71.86/45.08 v205: $i > $o)).
% 71.86/45.08 tff(v191_type, type, (
% 71.86/45.08 v191: $i > $o)).
% 71.86/45.08 tff(constB26_type, type, (
% 71.86/45.08 constB26: $i)).
% 71.86/45.08 tff(v194_type, type, (
% 71.86/45.08 v194: $i > $o)).
% 71.86/45.08 tff(constB25_type, type, (
% 71.86/45.08 constB25: $i)).
% 71.86/45.08 tff(v198_type, type, (
% 71.86/45.08 v198: $i > $o)).
% 71.86/45.08 tff(v200_type, type, (
% 71.86/45.08 v200: $i > $o)).
% 71.86/45.08 tff(v201_type, type, (
% 71.86/45.08 v201: $i > $o)).
% 71.86/45.08 tff(v163_type, type, (
% 71.86/45.08 v163: $i > $o)).
% 71.86/45.08 tff(v170_type, type, (
% 71.86/45.08 v170: $i > $o)).
% 71.86/45.08 tff(v167_type, type, (
% 71.86/45.08 v167: $i > $o)).
% 71.86/45.08 tff(v142_type, type, (
% 71.86/45.08 v142: $i > $o)).
% 71.86/45.08 tff(v144_type, type, (
% 71.86/45.08 v144: $i > $o)).
% 71.86/45.08 tff(v88_type, type, (
% 71.86/45.08 v88: ( $i * $i ) > $o)).
% 71.86/45.08 tff(bitIndex2_type, type, (
% 71.86/45.08 bitIndex2: $i)).
% 71.86/45.08 tff(v90_type, type, (
% 71.86/45.08 v90: ( $i * $i ) > $o)).
% 71.86/45.08 tff(constB24_type, type, (
% 71.86/45.08 constB24: $i)).
% 71.86/45.08 tff(v129_type, type, (
% 71.86/45.08 v129: ( $i * $i ) > $o)).
% 71.86/45.08 tff(v127_type, type, (
% 71.86/45.08 v127: ( $i * $i ) > $o)).
% 71.86/45.08 tff(constB23_type, type, (
% 71.86/45.08 constB23: $i)).
% 71.86/45.08 tff(v130_type, type, (
% 71.86/45.08 v130: ( $i * $i ) > $o)).
% 71.86/45.08 tff(v123_type, type, (
% 71.86/45.08 v123: $i > $o)).
% 71.86/45.08 tff(constB22_type, type, (
% 71.86/45.08 constB22: $i)).
% 71.86/45.08 tff(v100_type, type, (
% 71.86/45.08 v100: $i > $o)).
% 71.86/45.08 tff(v110_type, type, (
% 71.86/45.08 v110: $i > $o)).
% 71.86/45.08 tff(v108_type, type, (
% 71.86/45.08 v108: $i > $o)).
% 71.86/45.08 tff(constB21_type, type, (
% 71.86/45.08 constB21: $i)).
% 71.86/45.08 tff(v112_type, type, (
% 71.86/45.08 v112: $i > $o)).
% 71.86/45.08 tff(v113_type, type, (
% 71.86/45.08 v113: $i > $o)).
% 71.86/45.08 tff(v114_type, type, (
% 71.86/45.08 v114: $i > $o)).
% 71.86/45.08 tff(v115_type, type, (
% 71.86/45.08 v115: $i > $o)).
% 71.86/45.08 tff(v116_type, type, (
% 71.86/45.08 v116: $i > $o)).
% 71.86/45.08 tff(v122_type, type, (
% 71.86/45.08 v122: $i > $o)).
% 71.86/45.08 tff(constB20_type, type, (
% 71.86/45.08 constB20: $i)).
% 71.86/45.08 tff(constB19_type, type, (
% 71.86/45.08 constB19: $i)).
% 71.86/45.08 tff(v117_type, type, (
% 71.86/45.08 v117: $i > $o)).
% 71.86/45.08 tff(v121_type, type, (
% 71.86/45.08 v121: $i > $o)).
% 71.86/45.08 tff(constB18_type, type, (
% 71.86/45.08 constB18: $i)).
% 71.86/45.08 tff(constB17_type, type, (
% 71.86/45.08 constB17: $i)).
% 71.86/45.08 tff(v26_type, type, (
% 71.86/45.08 v26: $i > $o)).
% 71.86/45.08 tff(v60_type, type, (
% 71.86/45.08 v60: $i > $o)).
% 71.86/45.08 tff(v66_type, type, (
% 71.86/45.08 v66: $i > $o)).
% 71.86/45.08 tff(constB16_type, type, (
% 71.86/45.08 constB16: $i)).
% 71.86/45.08 tff(nextState_type, type, (
% 71.86/45.08 nextState: ( $i * $i ) > $o)).
% 71.86/45.08 tff(v64_type, type, (
% 71.86/45.08 v64: $i > $o)).
% 71.86/45.08 tff(v9_type, type, (
% 71.86/45.08 v9: $i > $o)).
% 71.86/45.08 tff(v13_type, type, (
% 71.86/45.08 v13: $i > $o)).
% 71.86/45.08 tff(v19_type, type, (
% 71.86/45.08 v19: $i > $o)).
% 71.86/45.08 tff(v18_type, type, (
% 71.86/45.08 v18: $i > $o)).
% 71.86/45.08 tff(v22_type, type, (
% 71.86/45.08 v22: $i > $o)).
% 71.86/45.08 tff(v1_type, type, (
% 71.86/45.08 v1: $i > $o)).
% 71.86/45.08 tff(v74_type, type, (
% 71.86/45.08 v74: $i > $o)).
% 71.86/45.08 tff(v72_type, type, (
% 71.86/45.08 v72: $i > $o)).
% 71.86/45.08 tff(v71_type, type, (
% 71.86/45.08 v71: $i > $o)).
% 71.86/45.08 tff(v76_type, type, (
% 71.86/45.08 v76: $i > $o)).
% 71.86/45.08 tff(v80_type, type, (
% 71.86/45.08 v80: $i > $o)).
% 71.86/45.08 tff(v78_type, type, (
% 71.86/45.08 v78: $i > $o)).
% 71.86/45.08 tff(v118_type, type, (
% 71.86/45.08 v118: $i > $o)).
% 71.86/45.08 tff(v120_type, type, (
% 71.86/45.08 v120: $i > $o)).
% 71.86/45.08 tff(constB15_type, type, (
% 71.86/45.08 constB15: $i)).
% 71.86/45.08 tff(v125_type, type, (
% 71.86/45.08 v125: $i > $o)).
% 71.86/45.08 tff(constB14_type, type, (
% 71.86/45.08 constB14: $i)).
% 71.86/45.08 tff(constB13_type, type, (
% 71.86/45.08 constB13: $i)).
% 71.86/45.08 tff(constB12_type, type, (
% 71.86/45.08 constB12: $i)).
% 71.86/45.08 tff(constB11_type, type, (
% 71.86/45.08 constB11: $i)).
% 71.86/45.08 tff(constB10_type, type, (
% 71.86/45.08 constB10: $i)).
% 71.86/45.08 tff(constB9_type, type, (
% 71.86/45.08 constB9: $i)).
% 71.86/45.08 tff(constB8_type, type, (
% 71.86/45.08 constB8: $i)).
% 71.86/45.08 tff(constB7_type, type, (
% 71.86/45.08 constB7: $i)).
% 71.86/45.08 tff(constB6_type, type, (
% 71.86/45.08 constB6: $i)).
% 71.86/45.08 tff(constB5_type, type, (
% 71.86/45.08 constB5: $i)).
% 71.86/45.08 tff(constB4_type, type, (
% 71.86/45.08 constB4: $i)).
% 71.86/45.08 tff(constB3_type, type, (
% 71.86/45.08 constB3: $i)).
% 71.86/45.08 tff(constB2_type, type, (
% 71.86/45.08 constB2: $i)).
% 71.86/45.08 tff(constB1_type, type, (
% 71.86/45.08 constB1: $i)).
% 71.86/45.08 tff(v119_type, type, (
% 71.86/45.08 v119: $i > $o)).
% 71.86/45.08 tff(v101_type, type, (
% 71.86/45.08 v101: $i > $o)).
% 71.86/45.08 tff(constB0_type, type, (
% 71.86/45.08 constB0: $i)).
% 71.86/45.08 tff(bitIndex1_type, type, (
% 71.86/45.08 bitIndex1: $i)).
% 71.86/45.08 tff(bitIndex0_type, type, (
% 71.86/45.08 bitIndex0: $i)).
% 71.86/45.08 tff(v102_type, type, (
% 71.86/45.08 v102: $i > $o)).
% 71.86/45.08 tff(v104_type, type, (
% 71.86/45.08 v104: $i > $o)).
% 71.86/45.08 tff(v124_type, type, (
% 71.86/45.08 v124: $i > $o)).
% 71.86/45.08 tff(v166_type, type, (
% 71.86/45.08 v166: $i > $o)).
% 71.86/45.08 tff(v196_type, type, (
% 71.86/45.08 v196: $i > $o)).
% 71.86/45.08 tff(v197_type, type, (
% 71.86/45.08 v197: $i > $o)).
% 71.86/45.08 tff(constB154_type, type, (
% 71.86/45.08 constB154: $i)).
% 71.86/45.08 tff(v207_type, type, (
% 71.86/45.08 v207: $i > $o)).
% 71.86/45.08 tff(v206_type, type, (
% 71.86/45.08 v206: $i > $o)).
% 71.86/45.08 tff(constB75_type, type, (
% 71.86/45.08 constB75: $i)).
% 71.86/45.08 tff(constB74_type, type, (
% 71.86/45.08 constB74: $i)).
% 71.86/45.08 tff(constB73_type, type, (
% 71.86/45.08 constB73: $i)).
% 71.86/45.08 tff(v159_type, type, (
% 71.86/45.08 v159: $i > $o)).
% 71.86/45.08 tff(constB72_type, type, (
% 71.86/45.08 constB72: $i)).
% 71.86/45.08 tff(v186_type, type, (
% 71.86/45.08 v186: $i > $o)).
% 71.86/45.08 tff(constB71_type, type, (
% 71.86/45.08 constB71: $i)).
% 71.86/45.08 tff(v168_type, type, (
% 71.86/45.08 v168: $i > $o)).
% 71.86/45.08 tff(v141_type, type, (
% 71.86/45.08 v141: $i > $o)).
% 71.86/45.08 tff(constB70_type, type, (
% 71.86/45.08 constB70: $i)).
% 71.86/45.08 tff(constB69_type, type, (
% 71.86/45.08 constB69: $i)).
% 71.86/45.08 tff(constB68_type, type, (
% 71.86/45.08 constB68: $i)).
% 71.86/45.08 tff(constB67_type, type, (
% 71.86/45.08 constB67: $i)).
% 71.86/45.08 tff(constB66_type, type, (
% 71.86/45.08 constB66: $i)).
% 71.86/45.08 tff(constB65_type, type, (
% 71.86/45.08 constB65: $i)).
% 71.86/45.08 tff(constB64_type, type, (
% 71.86/45.08 constB64: $i)).
% 71.86/45.08 tff(constB63_type, type, (
% 71.86/45.08 constB63: $i)).
% 71.86/45.08 tff(constB62_type, type, (
% 71.86/45.08 constB62: $i)).
% 71.86/45.08 tff(constB61_type, type, (
% 71.86/45.08 constB61: $i)).
% 71.86/45.08 tff(constB60_type, type, (
% 71.86/45.08 constB60: $i)).
% 71.86/45.08 tff(constB59_type, type, (
% 71.86/45.08 constB59: $i)).
% 71.86/45.08 tff(constB58_type, type, (
% 71.86/45.08 constB58: $i)).
% 71.86/45.08 tff(constB57_type, type, (
% 71.86/45.08 constB57: $i)).
% 71.86/45.08 tff(constB56_type, type, (
% 71.86/45.08 constB56: $i)).
% 71.86/45.08 tff(constB55_type, type, (
% 71.86/45.08 constB55: $i)).
% 71.86/45.08 tff(constB54_type, type, (
% 71.86/45.08 constB54: $i)).
% 71.86/45.08 tff(constB53_type, type, (
% 71.86/45.08 constB53: $i)).
% 71.86/45.08 tff(constB52_type, type, (
% 71.86/45.08 constB52: $i)).
% 71.86/45.08 tff(constB51_type, type, (
% 71.86/45.08 constB51: $i)).
% 71.86/45.08 tff(constB50_type, type, (
% 71.86/45.08 constB50: $i)).
% 71.86/45.08 tff(constB49_type, type, (
% 71.86/45.08 constB49: $i)).
% 71.86/45.08 tff(constB48_type, type, (
% 71.86/45.08 constB48: $i)).
% 71.86/45.08 tff(constB47_type, type, (
% 71.86/45.08 constB47: $i)).
% 71.86/45.08 tff(constB46_type, type, (
% 71.86/45.08 constB46: $i)).
% 71.86/45.08 tff(constB45_type, type, (
% 71.86/45.08 constB45: $i)).
% 71.86/45.08 tff(constB44_type, type, (
% 71.86/45.08 constB44: $i)).
% 71.86/45.08 tff(constB43_type, type, (
% 71.86/45.08 constB43: $i)).
% 71.86/45.08 tff(constB42_type, type, (
% 71.86/45.08 constB42: $i)).
% 71.86/45.08 tff(constB40_type, type, (
% 71.86/45.08 constB40: $i)).
% 71.86/45.08 tff(constB39_type, type, (
% 71.86/45.08 constB39: $i)).
% 71.86/45.08 tff(constB38_type, type, (
% 71.86/45.08 constB38: $i)).
% 71.86/45.08 tff(constB37_type, type, (
% 71.86/45.08 constB37: $i)).
% 71.86/45.08 tff(constB36_type, type, (
% 71.86/45.08 constB36: $i)).
% 71.86/45.08 tff(constB35_type, type, (
% 71.86/45.08 constB35: $i)).
% 71.86/45.08 tff(constB34_type, type, (
% 71.86/45.08 constB34: $i)).
% 71.86/45.08 tff(constB33_type, type, (
% 71.86/45.08 constB33: $i)).
% 71.86/45.08 tff(constB32_type, type, (
% 71.86/45.08 constB32: $i)).
% 71.86/45.08 tff(constB31_type, type, (
% 71.86/45.08 constB31: $i)).
% 71.86/45.08 tff(constB30_type, type, (
% 71.86/45.08 constB30: $i)).
% 71.86/45.08 tff(constB29_type, type, (
% 71.86/45.08 constB29: $i)).
% 71.86/45.08 tff(constB28_type, type, (
% 71.86/45.08 constB28: $i)).
% 71.86/45.08 tff(v179_type, type, (
% 71.86/45.08 v179: $i > $o)).
% 71.86/45.08 tff(v180_type, type, (
% 71.86/45.08 v180: $i > $o)).
% 71.86/45.08 tff(v181_type, type, (
% 71.86/45.08 v181: $i > $o)).
% 71.86/45.08 tff(constB150_type, type, (
% 71.86/45.08 constB150: $i)).
% 71.86/45.08 tff(constB171_type, type, (
% 71.86/45.08 constB171: $i)).
% 71.86/45.08 tff(constB170_type, type, (
% 71.86/45.08 constB170: $i)).
% 71.86/45.08 tff(constB169_type, type, (
% 71.86/45.08 constB169: $i)).
% 71.86/45.08 tff(constB168_type, type, (
% 71.86/45.08 constB168: $i)).
% 71.86/45.08 tff(constB167_type, type, (
% 71.86/45.08 constB167: $i)).
% 71.86/45.08 tff(v169_type, type, (
% 71.86/45.08 v169: $i > $o)).
% 71.86/45.08 tff(v140_type, type, (
% 71.86/45.08 v140: $i > $o)).
% 71.86/45.08 tff(constB166_type, type, (
% 71.86/45.08 constB166: $i)).
% 71.86/45.08 tff(constB165_type, type, (
% 71.86/45.08 constB165: $i)).
% 71.86/45.08 tff(constB164_type, type, (
% 71.86/45.08 constB164: $i)).
% 71.86/45.08 tff(constB163_type, type, (
% 71.86/45.08 constB163: $i)).
% 71.86/45.08 tff(constB162_type, type, (
% 71.86/45.08 constB162: $i)).
% 71.86/45.08 tff(constB161_type, type, (
% 71.86/45.08 constB161: $i)).
% 71.86/45.08 tff(constB160_type, type, (
% 71.86/45.08 constB160: $i)).
% 71.86/45.08 tff(constB159_type, type, (
% 71.86/45.08 constB159: $i)).
% 71.86/45.08 tff(constB158_type, type, (
% 71.86/45.08 constB158: $i)).
% 71.86/45.08 tff(constB157_type, type, (
% 71.86/45.08 constB157: $i)).
% 71.86/45.08 tff(constB156_type, type, (
% 71.86/45.08 constB156: $i)).
% 71.86/45.08 tff(constB155_type, type, (
% 71.86/45.08 constB155: $i)).
% 71.86/45.08 tff(constB153_type, type, (
% 71.86/45.08 constB153: $i)).
% 71.86/45.08 tff(constB151_type, type, (
% 71.86/45.08 constB151: $i)).
% 71.86/45.08 tff(constB149_type, type, (
% 71.86/45.08 constB149: $i)).
% 71.86/45.08 tff(constB148_type, type, (
% 71.86/45.08 constB148: $i)).
% 71.86/45.08 tff(constB147_type, type, (
% 71.86/45.08 constB147: $i)).
% 71.86/45.08 tff(constB146_type, type, (
% 71.86/45.08 constB146: $i)).
% 71.86/45.08 tff(constB145_type, type, (
% 71.86/45.08 constB145: $i)).
% 71.86/45.08 tff(constB144_type, type, (
% 71.86/45.08 constB144: $i)).
% 71.86/45.08 tff(constB143_type, type, (
% 71.86/45.08 constB143: $i)).
% 71.86/45.08 tff(constB142_type, type, (
% 71.86/45.08 constB142: $i)).
% 71.86/45.08 tff(constB141_type, type, (
% 71.86/45.08 constB141: $i)).
% 71.86/45.08 tff(constB140_type, type, (
% 71.86/45.08 constB140: $i)).
% 71.86/45.08 tff(constB139_type, type, (
% 71.86/45.08 constB139: $i)).
% 71.86/45.08 tff(constB138_type, type, (
% 71.86/45.08 constB138: $i)).
% 71.86/45.08 tff(constB137_type, type, (
% 71.86/45.08 constB137: $i)).
% 71.86/45.08 tff(constB136_type, type, (
% 71.86/45.08 constB136: $i)).
% 71.86/45.08 tff(constB135_type, type, (
% 71.86/45.08 constB135: $i)).
% 71.86/45.08 tff(constB134_type, type, (
% 71.86/45.08 constB134: $i)).
% 71.86/45.08 tff(constB133_type, type, (
% 71.86/45.08 constB133: $i)).
% 71.86/45.08 tff(constB132_type, type, (
% 71.86/45.08 constB132: $i)).
% 71.86/45.08 tff(constB131_type, type, (
% 71.86/45.08 constB131: $i)).
% 71.86/45.08 tff(constB130_type, type, (
% 71.86/45.08 constB130: $i)).
% 71.86/45.08 tff(constB129_type, type, (
% 71.86/45.08 constB129: $i)).
% 71.86/45.08 tff(constB128_type, type, (
% 71.86/45.08 constB128: $i)).
% 71.86/45.08 tff(constB127_type, type, (
% 71.86/45.08 constB127: $i)).
% 71.86/45.08 tff(constB126_type, type, (
% 71.86/45.08 constB126: $i)).
% 71.86/45.08 tff(constB125_type, type, (
% 71.86/45.08 constB125: $i)).
% 71.86/45.08 tff(constB124_type, type, (
% 71.86/45.08 constB124: $i)).
% 71.86/45.08 tff(constB123_type, type, (
% 71.86/45.08 constB123: $i)).
% 71.86/45.08 tff(constB121_type, type, (
% 71.86/45.08 constB121: $i)).
% 71.86/45.08 tff(constB120_type, type, (
% 71.86/45.08 constB120: $i)).
% 71.86/45.08 tff(constB119_type, type, (
% 71.86/45.08 constB119: $i)).
% 71.86/45.08 tff(constB118_type, type, (
% 71.86/45.08 constB118: $i)).
% 71.86/45.08 tff(constB117_type, type, (
% 71.86/45.08 constB117: $i)).
% 71.86/45.08 tff(constB116_type, type, (
% 71.86/45.08 constB116: $i)).
% 71.86/45.08 tff(constB113_type, type, (
% 71.86/45.08 constB113: $i)).
% 71.86/45.08 tff(constB111_type, type, (
% 71.86/45.08 constB111: $i)).
% 71.86/45.08 tff(constB110_type, type, (
% 71.86/45.08 constB110: $i)).
% 71.86/45.08 tff(constB109_type, type, (
% 71.86/45.08 constB109: $i)).
% 71.86/45.08 tff(constB107_type, type, (
% 71.86/45.08 constB107: $i)).
% 71.86/45.08 tff(constB97_type, type, (
% 71.86/45.08 constB97: $i)).
% 71.86/45.08 tff(constB96_type, type, (
% 71.86/45.08 constB96: $i)).
% 71.86/45.08 tff(constB95_type, type, (
% 71.86/45.08 constB95: $i)).
% 71.86/45.08 tff(constB94_type, type, (
% 71.86/45.08 constB94: $i)).
% 71.86/45.08 tff(constB93_type, type, (
% 71.86/45.08 constB93: $i)).
% 71.86/45.08 tff(constB92_type, type, (
% 71.86/45.08 constB92: $i)).
% 71.86/45.08 tff(constB91_type, type, (
% 71.86/45.08 constB91: $i)).
% 71.86/45.08 tff(constB90_type, type, (
% 71.86/45.08 constB90: $i)).
% 71.86/45.08 tff(constB89_type, type, (
% 71.86/45.08 constB89: $i)).
% 71.86/45.08 tff(constB88_type, type, (
% 71.86/45.08 constB88: $i)).
% 71.86/45.08 tff(constB87_type, type, (
% 71.86/45.08 constB87: $i)).
% 71.86/45.08 tff(constB86_type, type, (
% 71.86/45.08 constB86: $i)).
% 71.86/45.08 tff(constB85_type, type, (
% 71.86/45.08 constB85: $i)).
% 71.86/45.08 tff(constB84_type, type, (
% 71.86/45.08 constB84: $i)).
% 71.86/45.08 tff(constB83_type, type, (
% 71.86/45.08 constB83: $i)).
% 71.86/45.08 tff(constB81_type, type, (
% 71.86/45.08 constB81: $i)).
% 71.86/45.08 tff(constB77_type, type, (
% 71.86/45.08 constB77: $i)).
% 71.86/45.08 tff(constB76_type, type, (
% 71.86/45.08 constB76: $i)).
% 71.86/45.08 tff(constB79_type, type, (
% 71.86/45.08 constB79: $i)).
% 71.86/45.08 tff(constB78_type, type, (
% 71.86/45.08 constB78: $i)).
% 71.86/45.08 tff(constB80_type, type, (
% 71.86/45.08 constB80: $i)).
% 71.86/45.08 tff(constB82_type, type, (
% 71.86/45.08 constB82: $i)).
% 71.86/45.08 tff(constB105_type, type, (
% 71.86/45.08 constB105: $i)).
% 71.86/45.08 tff(constB104_type, type, (
% 71.86/45.08 constB104: $i)).
% 71.86/45.08 tff(constB103_type, type, (
% 71.86/45.08 constB103: $i)).
% 71.86/45.08 tff(constB102_type, type, (
% 71.86/45.08 constB102: $i)).
% 71.86/45.08 tff(constB101_type, type, (
% 71.86/45.08 constB101: $i)).
% 71.86/45.08 tff(constB100_type, type, (
% 71.86/45.08 constB100: $i)).
% 71.86/45.08 tff(constB99_type, type, (
% 71.86/45.08 constB99: $i)).
% 71.86/45.08 tff(constB98_type, type, (
% 71.86/45.08 constB98: $i)).
% 71.86/45.08 tff(constB106_type, type, (
% 71.86/45.08 constB106: $i)).
% 71.86/45.08 tff(constB108_type, type, (
% 71.86/45.08 constB108: $i)).
% 71.86/45.08 tff(constB112_type, type, (
% 71.86/45.08 constB112: $i)).
% 71.86/45.08 tff(constB115_type, type, (
% 71.86/45.08 constB115: $i)).
% 71.86/45.08 tff(constB114_type, type, (
% 71.86/45.08 constB114: $i)).
% 71.86/45.08 tff(constB122_type, type, (
% 71.86/45.08 constB122: $i)).
% 71.86/45.08 tff(constB152_type, type, (
% 71.86/45.08 constB152: $i)).
% 71.86/45.08 tff(constB195_type, type, (
% 71.86/45.08 constB195: $i)).
% 71.86/45.08 tff(constB194_type, type, (
% 71.86/45.08 constB194: $i)).
% 71.86/45.08 tff(constB193_type, type, (
% 71.86/45.08 constB193: $i)).
% 71.86/45.08 tff(constB192_type, type, (
% 71.86/45.08 constB192: $i)).
% 71.86/45.08 tff(constB191_type, type, (
% 71.86/45.08 constB191: $i)).
% 71.86/45.08 tff(constB190_type, type, (
% 71.86/45.08 constB190: $i)).
% 71.86/45.08 tff(constB189_type, type, (
% 71.86/45.08 constB189: $i)).
% 71.86/45.08 tff(constB188_type, type, (
% 71.86/45.08 constB188: $i)).
% 71.86/45.08 tff(constB187_type, type, (
% 71.86/45.08 constB187: $i)).
% 71.86/45.08 tff(constB186_type, type, (
% 71.86/45.08 constB186: $i)).
% 71.86/45.08 tff(constB185_type, type, (
% 71.86/45.08 constB185: $i)).
% 71.86/45.08 tff(constB184_type, type, (
% 71.86/45.08 constB184: $i)).
% 71.86/45.08 tff(constB183_type, type, (
% 71.86/45.08 constB183: $i)).
% 71.86/45.08 tff(constB182_type, type, (
% 71.86/45.08 constB182: $i)).
% 71.86/45.08 tff(constB181_type, type, (
% 71.86/45.08 constB181: $i)).
% 71.86/45.08 tff(constB180_type, type, (
% 71.86/45.08 constB180: $i)).
% 71.86/45.08 tff(constB179_type, type, (
% 71.86/45.08 constB179: $i)).
% 71.86/45.08 tff(constB178_type, type, (
% 71.86/45.08 constB178: $i)).
% 71.86/45.08 tff(constB177_type, type, (
% 71.86/45.08 constB177: $i)).
% 71.86/45.08 tff(constB176_type, type, (
% 71.86/45.08 constB176: $i)).
% 71.86/45.08 tff(constB175_type, type, (
% 71.86/45.08 constB175: $i)).
% 71.86/45.08 tff(constB174_type, type, (
% 71.86/45.08 constB174: $i)).
% 71.86/45.08 tff(constB173_type, type, (
% 71.86/45.08 constB173: $i)).
% 71.86/45.08 tff(constB172_type, type, (
% 71.86/45.08 constB172: $i)).
% 71.86/45.08 tff(v143_type, type, (
% 71.86/45.08 v143: $i > $o)).
% 71.86/45.08 tff(constB198_type, type, (
% 71.86/45.08 constB198: $i)).
% 71.86/45.08 tff(constB196_type, type, (
% 71.86/45.08 constB196: $i)).
% 71.86/45.08 tff(constB200_type, type, (
% 71.86/45.08 constB200: $i)).
% 71.86/45.08 tff(v139_type, type, (
% 71.86/45.08 v139: $i > $o)).
% 71.86/45.08 tff(constB197_type, type, (
% 71.86/45.08 constB197: $i)).
% 71.86/45.08 tff(constB199_type, type, (
% 71.86/45.08 constB199: $i)).
% 71.86/45.08 tff(reachableState_type, type, (
% 71.86/45.08 reachableState: $i > $o)).
% 71.86/45.08 tff(1,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 71.86/45.08 tff(2,plain,
% 71.86/45.08 (v193(constB27) <=> v193(sK0_VarCurr)),
% 71.86/45.08 inference(monotonicity,[status(thm)],[1])).
% 71.86/45.08 tff(3,plain,
% 71.86/45.08 (v193(sK0_VarCurr) <=> v193(constB27)),
% 71.86/45.08 inference(symmetry,[status(thm)],[2])).
% 71.86/45.08 tff(4,plain,
% 71.86/45.08 (v205(sK0_VarCurr) <=> v205(sK0_VarCurr)),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(5,axiom,(v205(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 71.86/45.08 tff(6,plain,
% 71.86/45.08 (v205(sK0_VarCurr)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[5, 4])).
% 71.86/45.08 tff(7,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v193(VarCurr) | (~v205(VarCurr))) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(8,plain,
% 71.86/45.08 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[7])).
% 71.86/45.08 tff(9,plain,
% 71.86/45.08 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(10,axiom,(![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_2')).
% 71.86/45.08 tff(11,plain,
% 71.86/45.08 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[10, 9])).
% 71.86/45.08 tff(12,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 71.86/45.08 inference(skolemize,[status(sab)],[11])).
% 71.86/45.08 tff(13,plain,
% 71.86/45.08 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[12, 8])).
% 71.86/45.08 tff(14,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(15,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(16,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[15, 14])).
% 71.86/45.08 tff(17,plain,
% 71.86/45.08 (v193(sK0_VarCurr)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[16, 13, 6])).
% 71.86/45.08 tff(18,plain,
% 71.86/45.08 (v193(constB27)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[17, 3])).
% 71.86/45.08 tff(19,assumption,(v26(constB16)), introduced(assumption)).
% 71.86/45.08 tff(20,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(21,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[20])).
% 71.86/45.08 tff(22,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(23,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 71.86/45.08 tff(24,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v26(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[23, 22])).
% 71.86/45.08 tff(25,plain,(
% 71.86/45.08 ![VarCurr: $i] : (~v26(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[24])).
% 71.86/45.08 tff(26,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v26(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[25, 21])).
% 71.86/45.08 tff(27,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB16))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(28,plain,
% 71.86/45.08 ($false),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[27, 26, 19])).
% 71.86/45.08 tff(29,plain,(~v26(constB16)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.08 tff(30,plain,
% 71.86/45.08 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(31,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 71.86/45.08 tff(32,plain,
% 71.86/45.08 (nextState(constB16, constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[31, 30])).
% 71.86/45.08 tff(33,plain,
% 71.86/45.08 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(34,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[33])).
% 71.86/45.08 tff(35,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(36,plain,
% 71.86/45.08 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(37,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[36])).
% 71.86/45.08 tff(38,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 71.86/45.08 tff(39,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[38, 37])).
% 71.86/45.08 tff(40,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[39, 35])).
% 71.86/45.08 tff(41,plain,(
% 71.86/45.08 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(skolemize,[status(sab)],[40])).
% 71.86/45.08 tff(42,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[41, 34])).
% 71.86/45.08 tff(43,plain,
% 71.86/45.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(44,plain,
% 71.86/45.08 ((v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17))) <=> ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(45,plain,
% 71.86/45.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17))))),
% 71.86/45.08 inference(monotonicity,[status(thm)],[44])).
% 71.86/45.08 tff(46,plain,
% 71.86/45.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 71.86/45.08 inference(transitivity,[status(thm)],[45, 43])).
% 71.86/45.08 tff(47,plain,
% 71.86/45.08 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(48,plain,
% 71.86/45.08 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[47, 46])).
% 71.86/45.08 tff(49,plain,
% 71.86/45.08 (v26(constB16) | (~v66(constB17))),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[48, 42, 32])).
% 71.86/45.08 tff(50,plain,
% 71.86/45.08 (~v66(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[49, 29])).
% 71.86/45.08 tff(51,assumption,(v18(constB18)), introduced(assumption)).
% 71.86/45.08 tff(52,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(53,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[52])).
% 71.86/45.08 tff(54,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(55,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 71.86/45.08 tff(56,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v18(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[55, 54])).
% 71.86/45.08 tff(57,plain,(
% 71.86/45.08 ![VarCurr: $i] : (~v18(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[56])).
% 71.86/45.08 tff(58,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v18(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[57, 53])).
% 71.86/45.08 tff(59,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB18))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(60,plain,
% 71.86/45.08 ($false),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[59, 58, 51])).
% 71.86/45.08 tff(61,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.08 tff(62,plain,
% 71.86/45.08 (v1(constB18) <=> v1(constB18)),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(63,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 71.86/45.08 tff(64,plain,
% 71.86/45.08 (v1(constB18)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[63, 62])).
% 71.86/45.08 tff(65,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(66,plain,
% 71.86/45.08 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[65])).
% 71.86/45.08 tff(67,plain,
% 71.86/45.08 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(68,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 71.86/45.08 tff(69,plain,
% 71.86/45.08 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[68, 67])).
% 71.86/45.08 tff(70,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 71.86/45.08 inference(skolemize,[status(sab)],[69])).
% 71.86/45.08 tff(71,plain,
% 71.86/45.08 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[70, 66])).
% 71.86/45.08 tff(72,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(73,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(74,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[73, 72])).
% 71.86/45.08 tff(75,plain,
% 71.86/45.08 (v22(constB18)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 71.86/45.08 tff(76,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(77,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[76])).
% 71.86/45.08 tff(78,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(79,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(80,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[79])).
% 71.86/45.08 tff(81,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 71.86/45.08 tff(82,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[81, 80])).
% 71.86/45.08 tff(83,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[82, 78])).
% 71.86/45.08 tff(84,plain,(
% 71.86/45.08 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[83])).
% 71.86/45.08 tff(85,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[84, 77])).
% 71.86/45.08 tff(86,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(87,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(88,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[87, 86])).
% 71.86/45.08 tff(89,plain,
% 71.86/45.08 ((~v19(constB18)) | v18(constB18)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[88, 85, 75])).
% 71.86/45.08 tff(90,plain,
% 71.86/45.08 (~v19(constB18)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[89, 61])).
% 71.86/45.08 tff(91,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(92,plain,
% 71.86/45.08 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[91])).
% 71.86/45.08 tff(93,plain,
% 71.86/45.08 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(94,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(95,plain,
% 71.86/45.08 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[94])).
% 71.86/45.08 tff(96,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 71.86/45.08 tff(97,plain,
% 71.86/45.08 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[96, 95])).
% 71.86/45.08 tff(98,plain,
% 71.86/45.08 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[97, 93])).
% 71.86/45.08 tff(99,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[98])).
% 71.86/45.08 tff(100,plain,
% 71.86/45.08 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[99, 92])).
% 71.86/45.08 tff(101,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(102,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(103,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[102, 101])).
% 71.86/45.08 tff(104,plain,
% 71.86/45.08 (v13(constB18)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[103, 100, 90])).
% 71.86/45.08 tff(105,plain,
% 71.86/45.08 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(106,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 71.86/45.08 tff(107,plain,
% 71.86/45.08 (nextState(constB17, constB18)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[106, 105])).
% 71.86/45.08 tff(108,plain,
% 71.86/45.08 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(109,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[108])).
% 71.86/45.08 tff(110,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(111,plain,
% 71.86/45.08 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(112,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[111])).
% 71.86/45.08 tff(113,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_13_2')).
% 71.86/45.08 tff(114,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[113, 112])).
% 71.86/45.08 tff(115,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[114, 110])).
% 71.86/45.08 tff(116,plain,(
% 71.86/45.08 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[115])).
% 71.86/45.08 tff(117,plain,
% 71.86/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[116, 109])).
% 71.86/45.08 tff(118,plain,
% 71.86/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(119,plain,
% 71.86/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(120,plain,
% 71.86/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[119, 118])).
% 71.86/45.08 tff(121,plain,
% 71.86/45.08 ((~v13(constB18)) | v9(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[120, 117, 107])).
% 71.86/45.08 tff(122,plain,
% 71.86/45.08 (v9(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[121, 104])).
% 71.86/45.08 tff(123,plain,
% 71.86/45.08 ((~v1(constB17)) <=> (~v1(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(124,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 71.86/45.08 tff(125,plain,
% 71.86/45.08 (~v1(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[124, 123])).
% 71.86/45.08 tff(126,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(127,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[126])).
% 71.86/45.08 tff(128,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(129,plain,
% 71.86/45.08 (^[VarCurr: $i] : trans(monotonicity(rewrite((v64(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(130,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[129])).
% 71.86/45.08 tff(131,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 71.86/45.08 tff(132,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[131, 130])).
% 71.86/45.08 tff(133,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[132, 128])).
% 71.86/45.08 tff(134,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[133])).
% 71.86/45.08 tff(135,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[134, 127])).
% 71.86/45.08 tff(136,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | v64(constB17) | (~v9(constB17)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(137,plain,
% 71.86/45.08 ((v1(constB17) | (~v9(constB17)) | v64(constB17)) <=> (v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(138,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | v64(constB17) | (~v9(constB17))))),
% 71.86/45.08 inference(monotonicity,[status(thm)],[137])).
% 71.86/45.08 tff(139,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 71.86/45.08 inference(transitivity,[status(thm)],[138, 136])).
% 71.86/45.08 tff(140,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(141,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[140, 139])).
% 71.86/45.08 tff(142,plain,
% 71.86/45.08 (v64(constB17) | (~v9(constB17))),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[141, 135, 125])).
% 71.86/45.08 tff(143,plain,
% 71.86/45.08 (v64(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[142, 122])).
% 71.86/45.08 tff(144,plain,
% 71.86/45.08 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(145,plain,
% 71.86/45.08 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[144])).
% 71.86/45.08 tff(146,plain,
% 71.86/45.08 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(147,plain,
% 71.86/45.08 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(148,plain,
% 71.86/45.08 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[147])).
% 71.86/45.08 tff(149,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 71.86/45.08 tff(150,plain,
% 71.86/45.08 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[149, 148])).
% 71.86/45.08 tff(151,plain,
% 71.86/45.08 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[150, 146])).
% 71.86/45.08 tff(152,plain,(
% 71.86/45.08 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(skolemize,[status(sab)],[151])).
% 71.86/45.08 tff(153,plain,
% 71.86/45.08 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[152, 145])).
% 71.86/45.08 tff(154,plain,
% 71.86/45.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB17)) | v66(constB17) | (~v64(constB17)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(155,plain,
% 71.86/45.08 (((~v64(constB17)) | (~v60(constB17)) | v66(constB17)) <=> ((~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(156,plain,
% 71.86/45.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB17)) | (~v60(constB17)) | v66(constB17))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB17)) | v66(constB17) | (~v64(constB17))))),
% 71.86/45.08 inference(monotonicity,[status(thm)],[155])).
% 71.86/45.08 tff(157,plain,
% 71.86/45.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB17)) | (~v60(constB17)) | v66(constB17))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 71.86/45.08 inference(transitivity,[status(thm)],[156, 154])).
% 71.86/45.08 tff(158,plain,
% 71.86/45.08 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB17)) | (~v60(constB17)) | v66(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(159,plain,
% 71.86/45.08 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[158, 157])).
% 71.86/45.08 tff(160,plain,
% 71.86/45.08 ((~v60(constB17)) | v66(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[159, 153, 143])).
% 71.86/45.08 tff(161,plain,
% 71.86/45.08 (~v60(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[160, 50])).
% 71.86/45.08 tff(162,assumption,(v71(constB17)), introduced(assumption)).
% 71.86/45.08 tff(163,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(164,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[163])).
% 71.86/45.08 tff(165,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(166,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 71.86/45.08 tff(167,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v71(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[166, 165])).
% 71.86/45.08 tff(168,plain,(
% 71.86/45.08 ![VarCurr: $i] : (~v71(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[167])).
% 71.86/45.08 tff(169,plain,
% 71.86/45.08 (![VarCurr: $i] : (~v71(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[168, 164])).
% 71.86/45.08 tff(170,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(171,plain,
% 71.86/45.08 ($false),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[170, 169, 162])).
% 71.86/45.08 tff(172,plain,(~v71(constB17)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.08 tff(173,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(174,plain,
% 71.86/45.08 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[173])).
% 71.86/45.08 tff(175,plain,
% 71.86/45.08 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(176,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 71.86/45.08 tff(177,plain,
% 71.86/45.08 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[176, 175])).
% 71.86/45.08 tff(178,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 71.86/45.08 inference(skolemize,[status(sab)],[177])).
% 71.86/45.08 tff(179,plain,
% 71.86/45.08 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[178, 174])).
% 71.86/45.08 tff(180,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB17) | (~v9(constB17)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB17) | (~v9(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(181,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB17) | (~v9(constB17)))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(182,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB17) | (~v9(constB17))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[181, 180])).
% 71.86/45.08 tff(183,plain,
% 71.86/45.08 (v80(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[182, 179, 122])).
% 71.86/45.08 tff(184,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(185,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[184])).
% 71.86/45.08 tff(186,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(187,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(188,plain,
% 71.86/45.08 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[187])).
% 71.86/45.08 tff(189,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 71.86/45.08 tff(190,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[189, 188])).
% 71.86/45.08 tff(191,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[190, 186])).
% 71.86/45.08 tff(192,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[191])).
% 71.86/45.08 tff(193,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[192, 185])).
% 71.86/45.08 tff(194,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB17) | v78(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB17) | v78(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(195,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB17) | v78(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(196,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB17) | v78(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[195, 194])).
% 71.86/45.08 tff(197,plain,
% 71.86/45.08 (v78(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[196, 193, 125])).
% 71.86/45.08 tff(198,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(199,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[198])).
% 71.86/45.08 tff(200,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(201,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(202,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[201])).
% 71.86/45.08 tff(203,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 71.86/45.08 tff(204,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[203, 202])).
% 71.86/45.08 tff(205,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[204, 200])).
% 71.86/45.08 tff(206,plain,(
% 71.86/45.08 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[205])).
% 71.86/45.08 tff(207,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[206, 199])).
% 71.86/45.08 tff(208,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB17)) | (~v80(constB17)) | v76(constB17))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB17)) | (~v80(constB17)) | v76(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(209,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB17)) | (~v80(constB17)) | v76(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(210,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB17)) | (~v80(constB17)) | v76(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[209, 208])).
% 71.86/45.08 tff(211,plain,
% 71.86/45.08 ((~v80(constB17)) | v76(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[210, 207, 197])).
% 71.86/45.08 tff(212,plain,
% 71.86/45.08 (v76(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[211, 183])).
% 71.86/45.08 tff(213,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(214,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[213])).
% 71.86/45.08 tff(215,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(216,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(217,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[216])).
% 71.86/45.08 tff(218,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 71.86/45.08 tff(219,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[218, 217])).
% 71.86/45.08 tff(220,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[219, 215])).
% 71.86/45.08 tff(221,plain,(
% 71.86/45.08 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[220])).
% 71.86/45.08 tff(222,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[221, 214])).
% 71.86/45.08 tff(223,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB17)) | (~v76(constB17)) | v71(constB17))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB17)) | (~v76(constB17)) | v71(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(224,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB17)) | (~v76(constB17)) | v71(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(225,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB17)) | (~v76(constB17)) | v71(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[224, 223])).
% 71.86/45.08 tff(226,plain,
% 71.86/45.08 ((~v72(constB17)) | v71(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[225, 222, 212])).
% 71.86/45.08 tff(227,plain,
% 71.86/45.08 (~v72(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[226, 172])).
% 71.86/45.08 tff(228,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(229,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[228])).
% 71.86/45.08 tff(230,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(231,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(232,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[231])).
% 71.86/45.08 tff(233,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 71.86/45.08 tff(234,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[233, 232])).
% 71.86/45.08 tff(235,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[234, 230])).
% 71.86/45.08 tff(236,plain,(
% 71.86/45.08 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(skolemize,[status(sab)],[235])).
% 71.86/45.08 tff(237,plain,
% 71.86/45.08 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[236, 229])).
% 71.86/45.08 tff(238,plain,
% 71.86/45.08 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB17) | v72(constB17) | v74(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB17) | v72(constB17) | v74(constB17))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(239,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB17) | v72(constB17) | v74(constB17))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(240,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB17) | v72(constB17) | v74(constB17)),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[239, 238])).
% 71.86/45.08 tff(241,plain,
% 71.86/45.08 (v72(constB17) | v74(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[240, 237, 125])).
% 71.86/45.08 tff(242,plain,
% 71.86/45.08 (v74(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[241, 227])).
% 71.86/45.08 tff(243,plain,
% 71.86/45.08 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(244,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[243])).
% 71.86/45.08 tff(245,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(246,plain,
% 71.86/45.08 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 71.86/45.08 inference(bind,[status(th)],[])).
% 71.86/45.08 tff(247,plain,
% 71.86/45.08 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(quant_intro,[status(thm)],[246])).
% 71.86/45.08 tff(248,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 71.86/45.08 tff(249,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[248, 247])).
% 71.86/45.08 tff(250,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[249, 245])).
% 71.86/45.08 tff(251,plain,(
% 71.86/45.08 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(skolemize,[status(sab)],[250])).
% 71.86/45.08 tff(252,plain,
% 71.86/45.08 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[251, 244])).
% 71.86/45.08 tff(253,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB17) | (~v26(constB17)) | (~v74(constB17)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(254,plain,
% 71.86/45.08 (((~v26(constB17)) | v60(constB17) | (~v74(constB17))) <=> (v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 71.86/45.08 inference(rewrite,[status(thm)],[])).
% 71.86/45.08 tff(255,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB17) | (~v26(constB17)) | (~v74(constB17))))),
% 71.86/45.08 inference(monotonicity,[status(thm)],[254])).
% 71.86/45.08 tff(256,plain,
% 71.86/45.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 71.86/45.08 inference(transitivity,[status(thm)],[255, 253])).
% 71.86/45.08 tff(257,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(258,plain,
% 71.86/45.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17))),
% 71.86/45.08 inference(modus_ponens,[status(thm)],[257, 256])).
% 71.86/45.08 tff(259,plain,
% 71.86/45.08 (v60(constB17) | (~v26(constB17))),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[258, 252, 242])).
% 71.86/45.08 tff(260,plain,
% 71.86/45.08 (~v26(constB17)),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[259, 161])).
% 71.86/45.08 tff(261,assumption,(v26(constB9)), introduced(assumption)).
% 71.86/45.08 tff(262,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(263,plain,
% 71.86/45.08 ($false),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[262, 26, 261])).
% 71.86/45.08 tff(264,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.08 tff(265,assumption,(v26(constB3)), introduced(assumption)).
% 71.86/45.08 tff(266,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 71.86/45.08 inference(quant_inst,[status(thm)],[])).
% 71.86/45.08 tff(267,plain,
% 71.86/45.08 ($false),
% 71.86/45.08 inference(unit_resolution,[status(thm)],[266, 26, 265])).
% 71.86/45.08 tff(268,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.08 tff(269,assumption,(v26(constB1)), introduced(assumption)).
% 71.86/45.08 tff(270,plain,
% 71.86/45.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 71.86/45.09 inference(quant_inst,[status(thm)],[])).
% 71.86/45.09 tff(271,plain,
% 71.86/45.09 ($false),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[270, 26, 269])).
% 71.86/45.09 tff(272,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 71.86/45.09 tff(273,plain,
% 71.86/45.09 ((~v1(constB1)) <=> (~v1(constB1))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(274,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 71.86/45.09 tff(275,plain,
% 71.86/45.09 (~v1(constB1)),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[274, 273])).
% 71.86/45.09 tff(276,plain,
% 71.86/45.09 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(277,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 71.86/45.09 tff(278,plain,
% 71.86/45.09 (nextState(constB0, constB1)),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[277, 276])).
% 71.86/45.09 tff(279,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(280,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[279])).
% 71.86/45.09 tff(281,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(282,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(283,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[282])).
% 71.86/45.09 tff(284,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 71.86/45.09 tff(285,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[284, 283])).
% 71.86/45.09 tff(286,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[285, 281])).
% 71.86/45.09 tff(287,plain,(
% 71.86/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(skolemize,[status(sab)],[286])).
% 71.86/45.09 tff(288,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[287, 280])).
% 71.86/45.09 tff(289,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(290,plain,
% 71.86/45.09 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(291,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 71.86/45.09 inference(monotonicity,[status(thm)],[290])).
% 71.86/45.09 tff(292,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 71.86/45.09 inference(transitivity,[status(thm)],[291, 289])).
% 71.86/45.09 tff(293,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 71.86/45.09 inference(quant_inst,[status(thm)],[])).
% 71.86/45.09 tff(294,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[293, 292])).
% 71.86/45.09 tff(295,plain,
% 71.86/45.09 (~v101(constB1)),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[294, 288, 278, 275])).
% 71.86/45.09 tff(296,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(297,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[296])).
% 71.86/45.09 tff(298,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(299,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(300,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[299])).
% 71.86/45.09 tff(301,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 71.86/45.09 tff(302,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[301, 300])).
% 71.86/45.09 tff(303,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[302, 298])).
% 71.86/45.09 tff(304,plain,(
% 71.86/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(skolemize,[status(sab)],[303])).
% 71.86/45.09 tff(305,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[304, 297])).
% 71.86/45.09 tff(306,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(307,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 71.86/45.09 inference(quant_inst,[status(thm)],[])).
% 71.86/45.09 tff(308,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[307, 306])).
% 71.86/45.09 tff(309,plain,
% 71.86/45.09 (v101(constB1) | (~v100(constB1))),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[308, 305, 278])).
% 71.86/45.09 tff(310,plain,
% 71.86/45.09 (~v100(constB1)),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[309, 295])).
% 71.86/45.09 tff(311,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(312,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[311])).
% 71.86/45.09 tff(313,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(314,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(315,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[314])).
% 71.86/45.09 tff(316,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_6')).
% 71.86/45.09 tff(317,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[316, 315])).
% 71.86/45.09 tff(318,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[317, 313])).
% 71.86/45.09 tff(319,plain,(
% 71.86/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(skolemize,[status(sab)],[318])).
% 71.86/45.09 tff(320,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[319, 312])).
% 71.86/45.09 tff(321,plain,
% 71.86/45.09 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(322,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 71.86/45.09 tff(323,plain,
% 71.86/45.09 (~v90(constB0, bitIndex2)),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[322, 321])).
% 71.86/45.09 tff(324,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(325,plain,
% 71.86/45.09 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(326,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 71.86/45.09 inference(monotonicity,[status(thm)],[325])).
% 71.86/45.09 tff(327,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 71.86/45.09 inference(transitivity,[status(thm)],[326, 324])).
% 71.86/45.09 tff(328,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 71.86/45.09 inference(quant_inst,[status(thm)],[])).
% 71.86/45.09 tff(329,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[328, 327])).
% 71.86/45.09 tff(330,plain,
% 71.86/45.09 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[329, 323, 320, 278])).
% 71.86/45.09 tff(331,plain,
% 71.86/45.09 (~v90(constB1, bitIndex2)),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[330, 310])).
% 71.86/45.09 tff(332,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(333,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[332])).
% 71.86/45.09 tff(334,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(335,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(336,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[335])).
% 71.86/45.09 tff(337,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_4')).
% 71.86/45.09 tff(338,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[337, 336])).
% 71.86/45.09 tff(339,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[338, 334])).
% 71.86/45.09 tff(340,plain,(
% 71.86/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(skolemize,[status(sab)],[339])).
% 71.86/45.09 tff(341,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[340, 333])).
% 71.86/45.09 tff(342,plain,
% 71.86/45.09 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(343,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 71.86/45.09 tff(344,plain,
% 71.86/45.09 (~v90(constB0, bitIndex1)),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[343, 342])).
% 71.86/45.09 tff(345,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(346,plain,
% 71.86/45.09 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(347,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 71.86/45.09 inference(monotonicity,[status(thm)],[346])).
% 71.86/45.09 tff(348,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 71.86/45.09 inference(transitivity,[status(thm)],[347, 345])).
% 71.86/45.09 tff(349,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 71.86/45.09 inference(quant_inst,[status(thm)],[])).
% 71.86/45.09 tff(350,plain,
% 71.86/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[349, 348])).
% 71.86/45.09 tff(351,plain,
% 71.86/45.09 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[350, 344, 341, 278])).
% 71.86/45.09 tff(352,plain,
% 71.86/45.09 (~v90(constB1, bitIndex1)),
% 71.86/45.09 inference(unit_resolution,[status(thm)],[351, 310])).
% 71.86/45.09 tff(353,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(354,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[353])).
% 71.86/45.09 tff(355,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(356,plain,
% 71.86/45.09 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 71.86/45.09 inference(bind,[status(th)],[])).
% 71.86/45.09 tff(357,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(quant_intro,[status(thm)],[356])).
% 71.86/45.09 tff(358,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_2')).
% 71.86/45.09 tff(359,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[358, 357])).
% 71.86/45.09 tff(360,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[359, 355])).
% 71.86/45.09 tff(361,plain,(
% 71.86/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(skolemize,[status(sab)],[360])).
% 71.86/45.09 tff(362,plain,
% 71.86/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[361, 354])).
% 71.86/45.09 tff(363,plain,
% 71.86/45.09 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 71.86/45.09 inference(rewrite,[status(thm)],[])).
% 71.86/45.09 tff(364,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 71.86/45.09 tff(365,plain,
% 71.86/45.09 (~v90(constB0, bitIndex0)),
% 71.86/45.09 inference(modus_ponens,[status(thm)],[364, 363])).
% 71.86/45.09 tff(366,plain,
% 71.86/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(367,plain,
% 71.94/45.09 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(368,plain,
% 71.94/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 71.94/45.09 inference(monotonicity,[status(thm)],[367])).
% 71.94/45.09 tff(369,plain,
% 71.94/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 71.94/45.09 inference(transitivity,[status(thm)],[368, 366])).
% 71.94/45.09 tff(370,plain,
% 71.94/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 71.94/45.09 inference(quant_inst,[status(thm)],[])).
% 71.94/45.09 tff(371,plain,
% 71.94/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[370, 369])).
% 71.94/45.09 tff(372,plain,
% 71.94/45.09 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 71.94/45.09 inference(unit_resolution,[status(thm)],[371, 365, 362, 278])).
% 71.94/45.09 tff(373,plain,
% 71.94/45.09 (~v90(constB1, bitIndex0)),
% 71.94/45.09 inference(unit_resolution,[status(thm)],[372, 310])).
% 71.94/45.09 tff(374,plain,
% 71.94/45.09 (^[VarCurr: $i] : refl((v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 71.94/45.09 inference(bind,[status(th)],[])).
% 71.94/45.09 tff(375,plain,
% 71.94/45.09 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(quant_intro,[status(thm)],[374])).
% 71.94/45.09 tff(376,plain,
% 71.94/45.09 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(377,plain,
% 71.94/45.09 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 71.94/45.09 inference(bind,[status(th)],[])).
% 71.94/45.09 tff(378,plain,
% 71.94/45.09 (![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(quant_intro,[status(thm)],[377])).
% 71.94/45.09 tff(379,axiom,(![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 71.94/45.09 tff(380,plain,
% 71.94/45.09 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[379, 378])).
% 71.94/45.09 tff(381,plain,
% 71.94/45.09 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[380, 376])).
% 71.94/45.09 tff(382,plain,(
% 71.94/45.09 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(skolemize,[status(sab)],[381])).
% 71.94/45.09 tff(383,plain,
% 71.94/45.09 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[382, 375])).
% 71.94/45.09 tff(384,plain,
% 71.94/45.09 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(385,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 71.94/45.09 inference(quant_inst,[status(thm)],[])).
% 71.94/45.09 tff(386,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[385, 384])).
% 71.94/45.09 tff(387,plain,
% 71.94/45.09 (v119(constB1)),
% 71.94/45.09 inference(unit_resolution,[status(thm)],[386, 383, 373, 352, 331])).
% 71.94/45.09 tff(388,plain,
% 71.94/45.09 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 71.94/45.09 inference(bind,[status(th)],[])).
% 71.94/45.09 tff(389,plain,
% 71.94/45.09 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 71.94/45.09 inference(quant_intro,[status(thm)],[388])).
% 71.94/45.09 tff(390,plain,
% 71.94/45.09 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(391,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 71.94/45.09 tff(392,plain,
% 71.94/45.09 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[391, 390])).
% 71.94/45.09 tff(393,plain,(
% 71.94/45.09 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 71.94/45.09 inference(skolemize,[status(sab)],[392])).
% 71.94/45.09 tff(394,plain,
% 71.94/45.09 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[393, 389])).
% 71.94/45.09 tff(395,plain,
% 71.94/45.09 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(396,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 71.94/45.09 inference(quant_inst,[status(thm)],[])).
% 71.94/45.09 tff(397,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[396, 395])).
% 71.94/45.09 tff(398,plain,
% 71.94/45.09 (v118(constB1)),
% 71.94/45.09 inference(unit_resolution,[status(thm)],[397, 394, 387])).
% 71.94/45.09 tff(399,plain,
% 71.94/45.09 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 71.94/45.09 inference(bind,[status(th)],[])).
% 71.94/45.09 tff(400,plain,
% 71.94/45.09 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 71.94/45.09 inference(quant_intro,[status(thm)],[399])).
% 71.94/45.09 tff(401,plain,
% 71.94/45.09 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(402,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 71.94/45.09 tff(403,plain,
% 71.94/45.09 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[402, 401])).
% 71.94/45.09 tff(404,plain,(
% 71.94/45.09 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 71.94/45.09 inference(skolemize,[status(sab)],[403])).
% 71.94/45.09 tff(405,plain,
% 71.94/45.09 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[404, 400])).
% 71.94/45.09 tff(406,plain,
% 71.94/45.09 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(407,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 71.94/45.09 inference(quant_inst,[status(thm)],[])).
% 71.94/45.09 tff(408,plain,
% 71.94/45.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[407, 406])).
% 71.94/45.09 tff(409,plain,
% 71.94/45.09 (v117(constB1)),
% 71.94/45.09 inference(unit_resolution,[status(thm)],[408, 405, 398])).
% 71.94/45.09 tff(410,plain,
% 71.94/45.09 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 71.94/45.09 inference(bind,[status(th)],[])).
% 71.94/45.09 tff(411,plain,
% 71.94/45.09 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 71.94/45.09 inference(quant_intro,[status(thm)],[410])).
% 71.94/45.09 tff(412,plain,
% 71.94/45.09 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 71.94/45.09 inference(rewrite,[status(thm)],[])).
% 71.94/45.09 tff(413,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 71.94/45.09 tff(414,plain,
% 71.94/45.09 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 71.94/45.09 inference(modus_ponens,[status(thm)],[413, 412])).
% 71.94/45.09 tff(415,plain,(
% 71.94/45.09 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 71.94/45.09 inference(skolemize,[status(sab)],[414])).
% 71.94/45.10 tff(416,plain,
% 71.94/45.10 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[415, 411])).
% 71.94/45.10 tff(417,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(418,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(419,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[418, 417])).
% 71.94/45.10 tff(420,plain,
% 71.94/45.10 (v116(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[419, 416, 409])).
% 71.94/45.10 tff(421,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(422,plain,
% 71.94/45.10 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[421])).
% 71.94/45.10 tff(423,plain,
% 71.94/45.10 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(424,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 71.94/45.10 tff(425,plain,
% 71.94/45.10 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[424, 423])).
% 71.94/45.10 tff(426,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[425])).
% 71.94/45.10 tff(427,plain,
% 71.94/45.10 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[426, 422])).
% 71.94/45.10 tff(428,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(429,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(430,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[429, 428])).
% 71.94/45.10 tff(431,plain,
% 71.94/45.10 (v115(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[430, 427, 420])).
% 71.94/45.10 tff(432,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(433,plain,
% 71.94/45.10 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[432])).
% 71.94/45.10 tff(434,plain,
% 71.94/45.10 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(435,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 71.94/45.10 tff(436,plain,
% 71.94/45.10 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[435, 434])).
% 71.94/45.10 tff(437,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[436])).
% 71.94/45.10 tff(438,plain,
% 71.94/45.10 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[437, 433])).
% 71.94/45.10 tff(439,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(440,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(441,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[440, 439])).
% 71.94/45.10 tff(442,plain,
% 71.94/45.10 (v114(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[441, 438, 431])).
% 71.94/45.10 tff(443,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(444,plain,
% 71.94/45.10 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[443])).
% 71.94/45.10 tff(445,plain,
% 71.94/45.10 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(446,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 71.94/45.10 tff(447,plain,
% 71.94/45.10 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[446, 445])).
% 71.94/45.10 tff(448,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[447])).
% 71.94/45.10 tff(449,plain,
% 71.94/45.10 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[448, 444])).
% 71.94/45.10 tff(450,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(451,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(452,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[451, 450])).
% 71.94/45.10 tff(453,plain,
% 71.94/45.10 (v113(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[452, 449, 442])).
% 71.94/45.10 tff(454,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(455,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[454])).
% 71.94/45.10 tff(456,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(457,plain,
% 71.94/45.10 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(458,plain,
% 71.94/45.10 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[457])).
% 71.94/45.10 tff(459,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 71.94/45.10 tff(460,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[459, 458])).
% 71.94/45.10 tff(461,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[460, 456])).
% 71.94/45.10 tff(462,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(skolemize,[status(sab)],[461])).
% 71.94/45.10 tff(463,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[462, 455])).
% 71.94/45.10 tff(464,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(465,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(466,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[465, 464])).
% 71.94/45.10 tff(467,plain,
% 71.94/45.10 (v26(constB1) | v112(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[466, 463, 453])).
% 71.94/45.10 tff(468,plain,
% 71.94/45.10 (v112(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[467, 272])).
% 71.94/45.10 tff(469,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(470,plain,
% 71.94/45.10 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[469])).
% 71.94/45.10 tff(471,plain,
% 71.94/45.10 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(472,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 71.94/45.10 tff(473,plain,
% 71.94/45.10 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[472, 471])).
% 71.94/45.10 tff(474,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[473])).
% 71.94/45.10 tff(475,plain,
% 71.94/45.10 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[474, 470])).
% 71.94/45.10 tff(476,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(477,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(478,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[477, 476])).
% 71.94/45.10 tff(479,plain,
% 71.94/45.10 (v108(constB1)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[478, 475, 468])).
% 71.94/45.10 tff(480,plain,
% 71.94/45.10 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(481,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 71.94/45.10 tff(482,plain,
% 71.94/45.10 (nextState(constB1, constB2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[481, 480])).
% 71.94/45.10 tff(483,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(484,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[483])).
% 71.94/45.10 tff(485,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(486,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(487,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[486])).
% 71.94/45.10 tff(488,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 71.94/45.10 tff(489,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[488, 487])).
% 71.94/45.10 tff(490,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[489, 485])).
% 71.94/45.10 tff(491,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(skolemize,[status(sab)],[490])).
% 71.94/45.10 tff(492,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[491, 484])).
% 71.94/45.10 tff(493,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(494,plain,
% 71.94/45.10 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(495,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 71.94/45.10 inference(monotonicity,[status(thm)],[494])).
% 71.94/45.10 tff(496,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 71.94/45.10 inference(transitivity,[status(thm)],[495, 493])).
% 71.94/45.10 tff(497,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(498,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[497, 496])).
% 71.94/45.10 tff(499,plain,
% 71.94/45.10 (v110(constB2) | (~v108(constB1))),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[498, 492, 482])).
% 71.94/45.10 tff(500,plain,
% 71.94/45.10 (v110(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[499, 479])).
% 71.94/45.10 tff(501,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(502,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[501])).
% 71.94/45.10 tff(503,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(504,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(505,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[504])).
% 71.94/45.10 tff(506,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 71.94/45.10 tff(507,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[506, 505])).
% 71.94/45.10 tff(508,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[507, 503])).
% 71.94/45.10 tff(509,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[508])).
% 71.94/45.10 tff(510,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[509, 502])).
% 71.94/45.10 tff(511,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(512,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(513,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[512, 511])).
% 71.94/45.10 tff(514,plain,
% 71.94/45.10 (~v104(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[513, 510, 482, 275])).
% 71.94/45.10 tff(515,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(516,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[515])).
% 71.94/45.10 tff(517,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(518,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v104(VarNext) | v102(VarNext)) <=> (v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(519,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[518])).
% 71.94/45.10 tff(520,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 71.94/45.10 tff(521,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[520, 519])).
% 71.94/45.10 tff(522,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[521, 517])).
% 71.94/45.10 tff(523,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(skolemize,[status(sab)],[522])).
% 71.94/45.10 tff(524,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[523, 516])).
% 71.94/45.10 tff(525,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(526,plain,
% 71.94/45.10 (((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(527,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)))),
% 71.94/45.10 inference(monotonicity,[status(thm)],[526])).
% 71.94/45.10 tff(528,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 71.94/45.10 inference(transitivity,[status(thm)],[527, 525])).
% 71.94/45.10 tff(529,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(530,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[529, 528])).
% 71.94/45.10 tff(531,plain,
% 71.94/45.10 (v104(constB2) | v102(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[530, 524, 482])).
% 71.94/45.10 tff(532,plain,
% 71.94/45.10 (v102(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[531, 514])).
% 71.94/45.10 tff(533,plain,
% 71.94/45.10 (v1(constB2) <=> v1(constB2)),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(534,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 71.94/45.10 tff(535,plain,
% 71.94/45.10 (v1(constB2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[534, 533])).
% 71.94/45.10 tff(536,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(537,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[536])).
% 71.94/45.10 tff(538,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(539,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) <=> (v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(540,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[539])).
% 71.94/45.10 tff(541,axiom,(![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 71.94/45.10 tff(542,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[541, 540])).
% 71.94/45.10 tff(543,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[542, 538])).
% 71.94/45.10 tff(544,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[543])).
% 71.94/45.10 tff(545,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[544, 537])).
% 71.94/45.10 tff(546,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(547,plain,
% 71.94/45.10 (((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))) <=> ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(548,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))))),
% 71.94/45.10 inference(monotonicity,[status(thm)],[547])).
% 71.94/45.10 tff(549,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 71.94/45.10 inference(transitivity,[status(thm)],[548, 546])).
% 71.94/45.10 tff(550,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(551,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[550, 549])).
% 71.94/45.10 tff(552,plain,
% 71.94/45.10 (v101(constB2) | (~v102(constB2))),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[551, 545, 482, 535])).
% 71.94/45.10 tff(553,plain,
% 71.94/45.10 (v101(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[552, 532])).
% 71.94/45.10 tff(554,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(555,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[554])).
% 71.94/45.10 tff(556,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(557,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) <=> ((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(558,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[557])).
% 71.94/45.10 tff(559,axiom,(![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 71.94/45.10 tff(560,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[559, 558])).
% 71.94/45.10 tff(561,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[560, 556])).
% 71.94/45.10 tff(562,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(skolemize,[status(sab)],[561])).
% 71.94/45.10 tff(563,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[562, 555])).
% 71.94/45.10 tff(564,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(565,plain,
% 71.94/45.10 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(566,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 71.94/45.10 inference(monotonicity,[status(thm)],[565])).
% 71.94/45.10 tff(567,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 71.94/45.10 inference(transitivity,[status(thm)],[566, 564])).
% 71.94/45.10 tff(568,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(569,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[568, 567])).
% 71.94/45.10 tff(570,plain,
% 71.94/45.10 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[569, 563, 482])).
% 71.94/45.10 tff(571,plain,
% 71.94/45.10 (v100(constB2) | (~v110(constB2))),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[570, 553])).
% 71.94/45.10 tff(572,plain,
% 71.94/45.10 (v100(constB2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[571, 500])).
% 71.94/45.10 tff(573,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(574,plain,
% 71.94/45.10 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[573])).
% 71.94/45.10 tff(575,plain,
% 71.94/45.10 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(576,plain,
% 71.94/45.10 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(577,plain,
% 71.94/45.10 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[576])).
% 71.94/45.10 tff(578,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 71.94/45.10 tff(579,plain,
% 71.94/45.10 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[578, 577])).
% 71.94/45.10 tff(580,plain,
% 71.94/45.10 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[579, 575])).
% 71.94/45.10 tff(581,plain,(
% 71.94/45.10 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(skolemize,[status(sab)],[580])).
% 71.94/45.10 tff(582,plain,
% 71.94/45.10 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[581, 574])).
% 71.94/45.10 tff(583,plain,
% 71.94/45.10 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(584,plain,
% 71.94/45.10 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(585,plain,
% 71.94/45.10 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[584, 583])).
% 71.94/45.10 tff(586,plain,
% 71.94/45.10 (v130(constB1, bitIndex2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[585, 582, 387])).
% 71.94/45.10 tff(587,plain,
% 71.94/45.10 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(588,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[587])).
% 71.94/45.10 tff(589,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(590,plain,
% 71.94/45.10 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) <=> ((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(591,plain,
% 71.94/45.10 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[590])).
% 71.94/45.10 tff(592,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 71.94/45.10 tff(593,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[592, 591])).
% 71.94/45.10 tff(594,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[593, 589])).
% 71.94/45.10 tff(595,plain,(
% 71.94/45.10 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(skolemize,[status(sab)],[594])).
% 71.94/45.10 tff(596,plain,
% 71.94/45.10 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[595, 588])).
% 71.94/45.10 tff(597,plain,
% 71.94/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(598,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(599,plain,
% 71.94/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[598, 597])).
% 71.94/45.10 tff(600,plain,
% 71.94/45.10 (v26(constB1) | v127(constB1, bitIndex2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[599, 596, 586])).
% 71.94/45.10 tff(601,plain,
% 71.94/45.10 (v127(constB1, bitIndex2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[600, 272])).
% 71.94/45.10 tff(602,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(603,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[602])).
% 71.94/45.10 tff(604,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(605,plain,
% 71.94/45.10 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(606,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[605])).
% 71.94/45.10 tff(607,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 71.94/45.10 tff(608,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[607, 606])).
% 71.94/45.10 tff(609,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[608, 604])).
% 71.94/45.10 tff(610,plain,(
% 71.94/45.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(skolemize,[status(sab)],[609])).
% 71.94/45.10 tff(611,plain,
% 71.94/45.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[610, 603])).
% 71.94/45.10 tff(612,plain,
% 71.94/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(613,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 71.94/45.10 inference(quant_inst,[status(thm)],[])).
% 71.94/45.10 tff(614,plain,
% 71.94/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[613, 612])).
% 71.94/45.10 tff(615,plain,
% 71.94/45.10 ((~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[614, 611, 482])).
% 71.94/45.10 tff(616,plain,
% 71.94/45.10 (v129(constB2, bitIndex2)),
% 71.94/45.10 inference(unit_resolution,[status(thm)],[615, 601])).
% 71.94/45.10 tff(617,plain,
% 71.94/45.10 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(618,plain,
% 71.94/45.10 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[617])).
% 71.94/45.10 tff(619,plain,
% 71.94/45.10 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(620,plain,
% 71.94/45.10 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))))),
% 71.94/45.10 inference(bind,[status(th)],[])).
% 71.94/45.10 tff(621,plain,
% 71.94/45.10 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(quant_intro,[status(thm)],[620])).
% 71.94/45.10 tff(622,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_5')).
% 71.94/45.10 tff(623,plain,
% 71.94/45.10 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[622, 621])).
% 71.94/45.10 tff(624,plain,
% 71.94/45.10 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[623, 619])).
% 71.94/45.10 tff(625,plain,(
% 71.94/45.10 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(skolemize,[status(sab)],[624])).
% 71.94/45.10 tff(626,plain,
% 71.94/45.10 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.10 inference(modus_ponens,[status(thm)],[625, 618])).
% 71.94/45.10 tff(627,plain,
% 71.94/45.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(628,plain,
% 71.94/45.10 ((v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 71.94/45.10 inference(rewrite,[status(thm)],[])).
% 71.94/45.10 tff(629,plain,
% 71.94/45.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[628])).
% 71.94/45.11 tff(630,plain,
% 71.94/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 71.94/45.11 inference(transitivity,[status(thm)],[629, 627])).
% 71.94/45.11 tff(631,plain,
% 71.94/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(632,plain,
% 71.94/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[631, 630])).
% 71.94/45.11 tff(633,plain,
% 71.94/45.11 (v90(constB2, bitIndex2) | (~v100(constB2))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[632, 626, 616])).
% 71.94/45.11 tff(634,plain,
% 71.94/45.11 (v90(constB2, bitIndex2)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[633, 572])).
% 71.94/45.11 tff(635,plain,
% 71.94/45.11 ((~v1(constB3)) <=> (~v1(constB3))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(636,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 71.94/45.11 tff(637,plain,
% 71.94/45.11 (~v1(constB3)),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[636, 635])).
% 71.94/45.11 tff(638,plain,
% 71.94/45.11 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(639,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 71.94/45.11 tff(640,plain,
% 71.94/45.11 (nextState(constB2, constB3)),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[639, 638])).
% 71.94/45.11 tff(641,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(642,plain,
% 71.94/45.11 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(643,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[642])).
% 71.94/45.11 tff(644,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 71.94/45.11 inference(transitivity,[status(thm)],[643, 641])).
% 71.94/45.11 tff(645,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(646,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[645, 644])).
% 71.94/45.11 tff(647,plain,
% 71.94/45.11 (~v101(constB3)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[646, 288, 640, 637])).
% 71.94/45.11 tff(648,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(649,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(650,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[649, 648])).
% 71.94/45.11 tff(651,plain,
% 71.94/45.11 (v101(constB3) | (~v100(constB3))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[650, 305, 640])).
% 71.94/45.11 tff(652,plain,
% 71.94/45.11 (~v100(constB3)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[651, 647])).
% 71.94/45.11 tff(653,plain,
% 71.94/45.11 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(654,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[653])).
% 71.94/45.11 tff(655,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(656,plain,
% 71.94/45.11 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(657,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[656])).
% 71.94/45.11 tff(658,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_5')).
% 71.94/45.11 tff(659,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[658, 657])).
% 71.94/45.11 tff(660,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[659, 655])).
% 71.94/45.11 tff(661,plain,(
% 71.94/45.11 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(skolemize,[status(sab)],[660])).
% 71.94/45.11 tff(662,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[661, 654])).
% 71.94/45.11 tff(663,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(664,plain,
% 71.94/45.11 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(665,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[664])).
% 71.94/45.11 tff(666,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 71.94/45.11 inference(transitivity,[status(thm)],[665, 663])).
% 71.94/45.11 tff(667,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(668,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[667, 666])).
% 71.94/45.11 tff(669,plain,
% 71.94/45.11 ((~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[668, 662, 640])).
% 71.94/45.11 tff(670,plain,
% 71.94/45.11 ((~v90(constB2, bitIndex2)) | v90(constB3, bitIndex2)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[669, 652])).
% 71.94/45.11 tff(671,plain,
% 71.94/45.11 (v90(constB3, bitIndex2)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[670, 634])).
% 71.94/45.11 tff(672,plain,
% 71.94/45.11 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(673,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[672])).
% 71.94/45.11 tff(674,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(675,plain,
% 71.94/45.11 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(676,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[675])).
% 71.94/45.11 tff(677,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 71.94/45.11 tff(678,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[677, 676])).
% 71.94/45.11 tff(679,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[678, 674])).
% 71.94/45.11 tff(680,plain,(
% 71.94/45.11 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(skolemize,[status(sab)],[679])).
% 71.94/45.11 tff(681,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[680, 673])).
% 71.94/45.11 tff(682,plain,
% 71.94/45.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(683,plain,
% 71.94/45.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(684,plain,
% 71.94/45.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[683, 682])).
% 71.94/45.11 tff(685,plain,
% 71.94/45.11 (~v130(constB1, bitIndex1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[684, 681, 387])).
% 71.94/45.11 tff(686,plain,
% 71.94/45.11 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(687,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[686])).
% 71.94/45.11 tff(688,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(689,plain,
% 71.94/45.11 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(690,plain,
% 71.94/45.11 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[689])).
% 71.94/45.11 tff(691,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 71.94/45.11 tff(692,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[691, 690])).
% 71.94/45.11 tff(693,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[692, 688])).
% 71.94/45.11 tff(694,plain,(
% 71.94/45.11 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(skolemize,[status(sab)],[693])).
% 71.94/45.11 tff(695,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[694, 687])).
% 71.94/45.11 tff(696,plain,
% 71.94/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(697,plain,
% 71.94/45.11 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(698,plain,
% 71.94/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[697])).
% 71.94/45.11 tff(699,plain,
% 71.94/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 71.94/45.11 inference(transitivity,[status(thm)],[698, 696])).
% 71.94/45.11 tff(700,plain,
% 71.94/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(701,plain,
% 71.94/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[700, 699])).
% 71.94/45.11 tff(702,plain,
% 71.94/45.11 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[701, 695, 685])).
% 71.94/45.11 tff(703,plain,
% 71.94/45.11 (~v127(constB1, bitIndex1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[702, 272])).
% 71.94/45.11 tff(704,plain,
% 71.94/45.11 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(705,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[704])).
% 71.94/45.11 tff(706,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(707,plain,
% 71.94/45.11 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(708,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[707])).
% 71.94/45.11 tff(709,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 71.94/45.11 tff(710,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[709, 708])).
% 71.94/45.11 tff(711,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[710, 706])).
% 71.94/45.11 tff(712,plain,(
% 71.94/45.11 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(skolemize,[status(sab)],[711])).
% 71.94/45.11 tff(713,plain,
% 71.94/45.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[712, 705])).
% 71.94/45.11 tff(714,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(715,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(716,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[715, 714])).
% 71.94/45.11 tff(717,plain,
% 71.94/45.11 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[716, 713, 482])).
% 71.94/45.11 tff(718,plain,
% 71.94/45.11 (~v129(constB2, bitIndex1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[717, 703])).
% 71.94/45.11 tff(719,plain,
% 71.94/45.11 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(720,plain,
% 71.94/45.11 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[719])).
% 71.94/45.11 tff(721,plain,
% 71.94/45.11 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(722,plain,
% 71.94/45.11 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> ((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(723,plain,
% 71.94/45.11 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[722])).
% 71.94/45.11 tff(724,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_4')).
% 71.94/45.11 tff(725,plain,
% 71.94/45.11 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[724, 723])).
% 71.94/45.11 tff(726,plain,
% 71.94/45.11 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[725, 721])).
% 71.94/45.11 tff(727,plain,(
% 71.94/45.11 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(skolemize,[status(sab)],[726])).
% 71.94/45.11 tff(728,plain,
% 71.94/45.11 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[727, 720])).
% 71.94/45.11 tff(729,plain,
% 71.94/45.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(730,plain,
% 71.94/45.11 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(731,plain,
% 71.94/45.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[730])).
% 71.94/45.11 tff(732,plain,
% 71.94/45.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 71.94/45.11 inference(transitivity,[status(thm)],[731, 729])).
% 71.94/45.11 tff(733,plain,
% 71.94/45.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(734,plain,
% 71.94/45.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[733, 732])).
% 71.94/45.11 tff(735,plain,
% 71.94/45.11 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[734, 728, 718])).
% 71.94/45.11 tff(736,plain,
% 71.94/45.11 (~v90(constB2, bitIndex1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[735, 572])).
% 71.94/45.11 tff(737,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(738,plain,
% 71.94/45.11 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(739,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 71.94/45.11 inference(monotonicity,[status(thm)],[738])).
% 71.94/45.11 tff(740,plain,
% 71.94/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 71.94/45.11 inference(transitivity,[status(thm)],[739, 737])).
% 71.94/45.11 tff(741,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(742,plain,
% 71.94/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[741, 740])).
% 71.94/45.11 tff(743,plain,
% 71.94/45.11 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[742, 341, 640])).
% 71.94/45.11 tff(744,plain,
% 71.94/45.11 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[743, 652])).
% 71.94/45.11 tff(745,plain,
% 71.94/45.11 (~v90(constB3, bitIndex1)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[744, 736])).
% 71.94/45.11 tff(746,plain,
% 71.94/45.11 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(747,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[746])).
% 71.94/45.11 tff(748,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(749,plain,
% 71.94/45.11 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(750,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[749])).
% 71.94/45.11 tff(751,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 71.94/45.11 tff(752,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[751, 750])).
% 71.94/45.11 tff(753,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[752, 748])).
% 71.94/45.11 tff(754,plain,(
% 71.94/45.11 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(skolemize,[status(sab)],[753])).
% 71.94/45.11 tff(755,plain,
% 71.94/45.11 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[754, 747])).
% 71.94/45.11 tff(756,plain,
% 71.94/45.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(757,plain,
% 71.94/45.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 71.94/45.11 inference(quant_inst,[status(thm)],[])).
% 71.94/45.11 tff(758,plain,
% 71.94/45.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[757, 756])).
% 71.94/45.11 tff(759,plain,
% 71.94/45.11 (~v130(constB1, bitIndex0)),
% 71.94/45.11 inference(unit_resolution,[status(thm)],[758, 755, 387])).
% 71.94/45.11 tff(760,plain,
% 71.94/45.11 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(761,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[760])).
% 71.94/45.11 tff(762,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.11 tff(763,plain,
% 71.94/45.11 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))))),
% 71.94/45.11 inference(bind,[status(th)],[])).
% 71.94/45.11 tff(764,plain,
% 71.94/45.11 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(quant_intro,[status(thm)],[763])).
% 71.94/45.11 tff(765,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 71.94/45.11 tff(766,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[765, 764])).
% 71.94/45.11 tff(767,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[766, 762])).
% 71.94/45.11 tff(768,plain,(
% 71.94/45.11 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(skolemize,[status(sab)],[767])).
% 71.94/45.11 tff(769,plain,
% 71.94/45.11 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 71.94/45.11 inference(modus_ponens,[status(thm)],[768, 761])).
% 71.94/45.11 tff(770,plain,
% 71.94/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 71.94/45.11 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(771,plain,
% 71.94/45.12 ((v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0))) <=> ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(772,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[771])).
% 71.94/45.12 tff(773,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 71.94/45.12 inference(transitivity,[status(thm)],[772, 770])).
% 71.94/45.12 tff(774,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(775,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[774, 773])).
% 71.94/45.12 tff(776,plain,
% 71.94/45.12 ((~v127(constB1, bitIndex0)) | v26(constB1)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[775, 769, 759])).
% 71.94/45.12 tff(777,plain,
% 71.94/45.12 (~v127(constB1, bitIndex0)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[776, 272])).
% 71.94/45.12 tff(778,plain,
% 71.94/45.12 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(779,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[778])).
% 71.94/45.12 tff(780,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(781,plain,
% 71.94/45.12 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(782,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[781])).
% 71.94/45.12 tff(783,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 71.94/45.12 tff(784,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[783, 782])).
% 71.94/45.12 tff(785,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[784, 780])).
% 71.94/45.12 tff(786,plain,(
% 71.94/45.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(skolemize,[status(sab)],[785])).
% 71.94/45.12 tff(787,plain,
% 71.94/45.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[786, 779])).
% 71.94/45.12 tff(788,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(789,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(790,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[789, 788])).
% 71.94/45.12 tff(791,plain,
% 71.94/45.12 (v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[790, 787, 482])).
% 71.94/45.12 tff(792,plain,
% 71.94/45.12 (~v129(constB2, bitIndex0)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[791, 777])).
% 71.94/45.12 tff(793,plain,
% 71.94/45.12 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(794,plain,
% 71.94/45.12 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[793])).
% 71.94/45.12 tff(795,plain,
% 71.94/45.12 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(796,plain,
% 71.94/45.12 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> ((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(797,plain,
% 71.94/45.12 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[796])).
% 71.94/45.12 tff(798,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_2')).
% 71.94/45.12 tff(799,plain,
% 71.94/45.12 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[798, 797])).
% 71.94/45.12 tff(800,plain,
% 71.94/45.12 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[799, 795])).
% 71.94/45.12 tff(801,plain,(
% 71.94/45.12 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(skolemize,[status(sab)],[800])).
% 71.94/45.12 tff(802,plain,
% 71.94/45.12 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[801, 794])).
% 71.94/45.12 tff(803,plain,
% 71.94/45.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(804,plain,
% 71.94/45.12 (((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(805,plain,
% 71.94/45.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[804])).
% 71.94/45.12 tff(806,plain,
% 71.94/45.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[805, 803])).
% 71.94/45.12 tff(807,plain,
% 71.94/45.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(808,plain,
% 71.94/45.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[807, 806])).
% 71.94/45.12 tff(809,plain,
% 71.94/45.12 ((~v90(constB2, bitIndex0)) | (~v100(constB2))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[808, 802, 792])).
% 71.94/45.12 tff(810,plain,
% 71.94/45.12 (~v90(constB2, bitIndex0)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[809, 572])).
% 71.94/45.12 tff(811,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(812,plain,
% 71.94/45.12 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(813,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[812])).
% 71.94/45.12 tff(814,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[813, 811])).
% 71.94/45.12 tff(815,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(816,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[815, 814])).
% 71.94/45.12 tff(817,plain,
% 71.94/45.12 (v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[816, 362, 640])).
% 71.94/45.12 tff(818,plain,
% 71.94/45.12 (v90(constB2, bitIndex0) | (~v90(constB3, bitIndex0))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[817, 652])).
% 71.94/45.12 tff(819,plain,
% 71.94/45.12 (~v90(constB3, bitIndex0)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[818, 810])).
% 71.94/45.12 tff(820,plain,
% 71.94/45.12 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(821,plain,
% 71.94/45.12 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[820])).
% 71.94/45.12 tff(822,plain,
% 71.94/45.12 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(823,plain,
% 71.94/45.12 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) <=> (v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(824,plain,
% 71.94/45.12 (![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[823])).
% 71.94/45.12 tff(825,axiom,(![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 71.94/45.12 tff(826,plain,
% 71.94/45.12 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[825, 824])).
% 71.94/45.12 tff(827,plain,
% 71.94/45.12 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[826, 822])).
% 71.94/45.12 tff(828,plain,(
% 71.94/45.12 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(skolemize,[status(sab)],[827])).
% 71.94/45.12 tff(829,plain,
% 71.94/45.12 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[828, 821])).
% 71.94/45.12 tff(830,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(831,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(832,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3)),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[831, 830])).
% 71.94/45.12 tff(833,plain,
% 71.94/45.12 (v123(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[832, 829, 819, 745, 671])).
% 71.94/45.12 tff(834,plain,
% 71.94/45.12 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(835,plain,
% 71.94/45.12 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[834])).
% 71.94/45.12 tff(836,plain,
% 71.94/45.12 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(837,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 71.94/45.12 tff(838,plain,
% 71.94/45.12 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[837, 836])).
% 71.94/45.12 tff(839,plain,(
% 71.94/45.12 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 71.94/45.12 inference(skolemize,[status(sab)],[838])).
% 71.94/45.12 tff(840,plain,
% 71.94/45.12 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[839, 835])).
% 71.94/45.12 tff(841,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB3) | (~v123(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB3) | (~v123(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(842,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB3) | (~v123(constB3)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(843,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB3) | (~v123(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[842, 841])).
% 71.94/45.12 tff(844,plain,
% 71.94/45.12 (v115(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[843, 840, 833])).
% 71.94/45.12 tff(845,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(846,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(847,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[846, 845])).
% 71.94/45.12 tff(848,plain,
% 71.94/45.12 (v114(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[847, 438, 844])).
% 71.94/45.12 tff(849,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(850,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(851,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[850, 849])).
% 71.94/45.12 tff(852,plain,
% 71.94/45.12 (v113(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[851, 449, 848])).
% 71.94/45.12 tff(853,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(854,plain,
% 71.94/45.12 ((v26(constB3) | (~v113(constB3)) | v112(constB3)) <=> (v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(855,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[854])).
% 71.94/45.12 tff(856,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[855, 853])).
% 71.94/45.12 tff(857,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(858,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[857, 856])).
% 71.94/45.12 tff(859,plain,
% 71.94/45.12 (v26(constB3) | v112(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[858, 463, 852])).
% 71.94/45.12 tff(860,plain,
% 71.94/45.12 (v112(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[859, 268])).
% 71.94/45.12 tff(861,plain,
% 71.94/45.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(862,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(863,plain,
% 71.94/45.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[862, 861])).
% 71.94/45.12 tff(864,plain,
% 71.94/45.12 (v108(constB3)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[863, 475, 860])).
% 71.94/45.12 tff(865,plain,
% 71.94/45.12 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(866,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 71.94/45.12 tff(867,plain,
% 71.94/45.12 (nextState(constB3, constB4)),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[866, 865])).
% 71.94/45.12 tff(868,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(869,plain,
% 71.94/45.12 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(870,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[869])).
% 71.94/45.12 tff(871,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[870, 868])).
% 71.94/45.12 tff(872,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(873,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[872, 871])).
% 71.94/45.12 tff(874,plain,
% 71.94/45.12 (v110(constB4) | (~v108(constB3))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[873, 492, 867])).
% 71.94/45.12 tff(875,plain,
% 71.94/45.12 (v110(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[874, 864])).
% 71.94/45.12 tff(876,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(877,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(878,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[877, 876])).
% 71.94/45.12 tff(879,plain,
% 71.94/45.12 (~v104(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[878, 510, 867, 637])).
% 71.94/45.12 tff(880,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(881,plain,
% 71.94/45.12 (((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(882,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[881])).
% 71.94/45.12 tff(883,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 71.94/45.12 inference(transitivity,[status(thm)],[882, 880])).
% 71.94/45.12 tff(884,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(885,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[884, 883])).
% 71.94/45.12 tff(886,plain,
% 71.94/45.12 (v104(constB4) | v102(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[885, 524, 867])).
% 71.94/45.12 tff(887,plain,
% 71.94/45.12 (v102(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[886, 879])).
% 71.94/45.12 tff(888,plain,
% 71.94/45.12 (v1(constB4) <=> v1(constB4)),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(889,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 71.94/45.12 tff(890,plain,
% 71.94/45.12 (v1(constB4)),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[889, 888])).
% 71.94/45.12 tff(891,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(892,plain,
% 71.94/45.12 (((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))) <=> ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(893,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[892])).
% 71.94/45.12 tff(894,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[893, 891])).
% 71.94/45.12 tff(895,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(896,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[895, 894])).
% 71.94/45.12 tff(897,plain,
% 71.94/45.12 (v101(constB4) | (~v102(constB4))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[896, 545, 867, 890])).
% 71.94/45.12 tff(898,plain,
% 71.94/45.12 (v101(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[897, 887])).
% 71.94/45.12 tff(899,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(900,plain,
% 71.94/45.12 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(901,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 71.94/45.12 inference(monotonicity,[status(thm)],[900])).
% 71.94/45.12 tff(902,plain,
% 71.94/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 71.94/45.12 inference(transitivity,[status(thm)],[901, 899])).
% 71.94/45.12 tff(903,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(904,plain,
% 71.94/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[903, 902])).
% 71.94/45.12 tff(905,plain,
% 71.94/45.12 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[904, 563, 867])).
% 71.94/45.12 tff(906,plain,
% 71.94/45.12 (v100(constB4) | (~v110(constB4))),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[905, 898])).
% 71.94/45.12 tff(907,plain,
% 71.94/45.12 (v100(constB4)),
% 71.94/45.12 inference(unit_resolution,[status(thm)],[906, 875])).
% 71.94/45.12 tff(908,plain,
% 71.94/45.12 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(909,plain,
% 71.94/45.12 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[908])).
% 71.94/45.12 tff(910,plain,
% 71.94/45.12 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(911,plain,
% 71.94/45.12 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 71.94/45.12 inference(bind,[status(th)],[])).
% 71.94/45.12 tff(912,plain,
% 71.94/45.12 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(quant_intro,[status(thm)],[911])).
% 71.94/45.12 tff(913,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 71.94/45.12 tff(914,plain,
% 71.94/45.12 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[913, 912])).
% 71.94/45.12 tff(915,plain,
% 71.94/45.12 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[914, 910])).
% 71.94/45.12 tff(916,plain,(
% 71.94/45.12 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(skolemize,[status(sab)],[915])).
% 71.94/45.12 tff(917,plain,
% 71.94/45.12 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 71.94/45.12 inference(modus_ponens,[status(thm)],[916, 909])).
% 71.94/45.12 tff(918,plain,
% 71.94/45.12 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2))),
% 71.94/45.12 inference(rewrite,[status(thm)],[])).
% 71.94/45.12 tff(919,plain,
% 71.94/45.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))),
% 71.94/45.12 inference(quant_inst,[status(thm)],[])).
% 71.94/45.12 tff(920,plain,
% 71.94/45.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[919, 918])).
% 71.94/45.13 tff(921,plain,
% 71.94/45.13 (v130(constB3, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[920, 917, 833])).
% 71.94/45.13 tff(922,plain,
% 71.94/45.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(923,plain,
% 71.94/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(924,plain,
% 71.94/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[923, 922])).
% 71.94/45.13 tff(925,plain,
% 71.94/45.13 (v26(constB3) | v127(constB3, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[924, 596, 921])).
% 71.94/45.13 tff(926,plain,
% 71.94/45.13 (v127(constB3, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[925, 268])).
% 71.94/45.13 tff(927,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(928,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(929,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[928, 927])).
% 71.94/45.13 tff(930,plain,
% 71.94/45.13 ((~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[929, 611, 867])).
% 71.94/45.13 tff(931,plain,
% 71.94/45.13 (v129(constB4, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[930, 926])).
% 71.94/45.13 tff(932,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(933,plain,
% 71.94/45.13 ((v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(934,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))))),
% 71.94/45.13 inference(monotonicity,[status(thm)],[933])).
% 71.94/45.13 tff(935,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 71.94/45.13 inference(transitivity,[status(thm)],[934, 932])).
% 71.94/45.13 tff(936,plain,
% 71.94/45.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(937,plain,
% 71.94/45.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[936, 935])).
% 71.94/45.13 tff(938,plain,
% 71.94/45.13 (v90(constB4, bitIndex2) | (~v100(constB4))),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[937, 626, 931])).
% 71.94/45.13 tff(939,plain,
% 71.94/45.13 (v90(constB4, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[938, 907])).
% 71.94/45.13 tff(940,plain,
% 71.94/45.13 ((~v1(constB5)) <=> (~v1(constB5))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(941,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 71.94/45.13 tff(942,plain,
% 71.94/45.13 (~v1(constB5)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[941, 940])).
% 71.94/45.13 tff(943,plain,
% 71.94/45.13 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(944,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 71.94/45.13 tff(945,plain,
% 71.94/45.13 (nextState(constB4, constB5)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[944, 943])).
% 71.94/45.13 tff(946,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(947,plain,
% 71.94/45.13 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(948,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 71.94/45.13 inference(monotonicity,[status(thm)],[947])).
% 71.94/45.13 tff(949,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 71.94/45.13 inference(transitivity,[status(thm)],[948, 946])).
% 71.94/45.13 tff(950,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(951,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[950, 949])).
% 71.94/45.13 tff(952,plain,
% 71.94/45.13 (~v101(constB5)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[951, 288, 945, 942])).
% 71.94/45.13 tff(953,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(954,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(955,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[954, 953])).
% 71.94/45.13 tff(956,plain,
% 71.94/45.13 (v101(constB5) | (~v100(constB5))),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[955, 305, 945])).
% 71.94/45.13 tff(957,plain,
% 71.94/45.13 (~v100(constB5)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[956, 952])).
% 71.94/45.13 tff(958,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(959,plain,
% 71.94/45.13 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(960,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)))),
% 71.94/45.13 inference(monotonicity,[status(thm)],[959])).
% 71.94/45.13 tff(961,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 71.94/45.13 inference(transitivity,[status(thm)],[960, 958])).
% 71.94/45.13 tff(962,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(963,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[962, 961])).
% 71.94/45.13 tff(964,plain,
% 71.94/45.13 ((~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[963, 662, 945])).
% 71.94/45.13 tff(965,plain,
% 71.94/45.13 ((~v90(constB4, bitIndex2)) | v90(constB5, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[964, 957])).
% 71.94/45.13 tff(966,plain,
% 71.94/45.13 (v90(constB5, bitIndex2)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[965, 939])).
% 71.94/45.13 tff(967,plain,
% 71.94/45.13 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(968,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[967])).
% 71.94/45.13 tff(969,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(970,plain,
% 71.94/45.13 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(971,plain,
% 71.94/45.13 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[970])).
% 71.94/45.13 tff(972,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 71.94/45.13 tff(973,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[972, 971])).
% 71.94/45.13 tff(974,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[973, 969])).
% 71.94/45.13 tff(975,plain,(
% 71.94/45.13 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(skolemize,[status(sab)],[974])).
% 71.94/45.13 tff(976,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[975, 968])).
% 71.94/45.13 tff(977,plain,
% 71.94/45.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(978,plain,
% 71.94/45.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(979,plain,
% 71.94/45.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[978, 977])).
% 71.94/45.13 tff(980,plain,
% 71.94/45.13 (v130(constB3, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[979, 976, 833])).
% 71.94/45.13 tff(981,plain,
% 71.94/45.13 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(982,plain,
% 71.94/45.13 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[981])).
% 71.94/45.13 tff(983,plain,
% 71.94/45.13 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(984,plain,
% 71.94/45.13 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) <=> ((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(985,plain,
% 71.94/45.13 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[984])).
% 71.94/45.13 tff(986,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 71.94/45.13 tff(987,plain,
% 71.94/45.13 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[986, 985])).
% 71.94/45.13 tff(988,plain,
% 71.94/45.13 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[987, 983])).
% 71.94/45.13 tff(989,plain,(
% 71.94/45.13 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(skolemize,[status(sab)],[988])).
% 71.94/45.13 tff(990,plain,
% 71.94/45.13 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[989, 982])).
% 71.94/45.13 tff(991,plain,
% 71.94/45.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(992,plain,
% 71.94/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(993,plain,
% 71.94/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[992, 991])).
% 71.94/45.13 tff(994,plain,
% 71.94/45.13 (v26(constB3) | v127(constB3, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[993, 990, 980])).
% 71.94/45.13 tff(995,plain,
% 71.94/45.13 (v127(constB3, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[994, 268])).
% 71.94/45.13 tff(996,plain,
% 71.94/45.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(997,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[996])).
% 71.94/45.13 tff(998,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(999,plain,
% 71.94/45.13 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1000,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[999])).
% 71.94/45.13 tff(1001,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 71.94/45.13 tff(1002,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 71.94/45.13 tff(1003,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1002, 998])).
% 71.94/45.13 tff(1004,plain,(
% 71.94/45.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(skolemize,[status(sab)],[1003])).
% 71.94/45.13 tff(1005,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1004, 997])).
% 71.94/45.13 tff(1006,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1007,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(1008,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 71.94/45.13 tff(1009,plain,
% 71.94/45.13 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1008, 1005, 867])).
% 71.94/45.13 tff(1010,plain,
% 71.94/45.13 (v129(constB4, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1009, 995])).
% 71.94/45.13 tff(1011,plain,
% 71.94/45.13 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1012,plain,
% 71.94/45.13 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1011])).
% 71.94/45.13 tff(1013,plain,
% 71.94/45.13 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1014,plain,
% 71.94/45.13 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1015,plain,
% 71.94/45.13 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1014])).
% 71.94/45.13 tff(1016,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_3')).
% 71.94/45.13 tff(1017,plain,
% 71.94/45.13 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 71.94/45.13 tff(1018,plain,
% 71.94/45.13 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1017, 1013])).
% 71.94/45.13 tff(1019,plain,(
% 71.94/45.13 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(skolemize,[status(sab)],[1018])).
% 71.94/45.13 tff(1020,plain,
% 71.94/45.13 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1019, 1012])).
% 71.94/45.13 tff(1021,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1022,plain,
% 71.94/45.13 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1023,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 71.94/45.13 inference(monotonicity,[status(thm)],[1022])).
% 71.94/45.13 tff(1024,plain,
% 71.94/45.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 71.94/45.13 inference(transitivity,[status(thm)],[1023, 1021])).
% 71.94/45.13 tff(1025,plain,
% 71.94/45.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(1026,plain,
% 71.94/45.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 71.94/45.13 tff(1027,plain,
% 71.94/45.13 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1026, 1020, 1010])).
% 71.94/45.13 tff(1028,plain,
% 71.94/45.13 (v90(constB4, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1027, 907])).
% 71.94/45.13 tff(1029,plain,
% 71.94/45.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1030,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1029])).
% 71.94/45.13 tff(1031,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1032,plain,
% 71.94/45.13 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1033,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1032])).
% 71.94/45.13 tff(1034,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_3')).
% 71.94/45.13 tff(1035,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 71.94/45.13 tff(1036,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1035, 1031])).
% 71.94/45.13 tff(1037,plain,(
% 71.94/45.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(skolemize,[status(sab)],[1036])).
% 71.94/45.13 tff(1038,plain,
% 71.94/45.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1037, 1030])).
% 71.94/45.13 tff(1039,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1040,plain,
% 71.94/45.13 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1041,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 71.94/45.13 inference(monotonicity,[status(thm)],[1040])).
% 71.94/45.13 tff(1042,plain,
% 71.94/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 71.94/45.13 inference(transitivity,[status(thm)],[1041, 1039])).
% 71.94/45.13 tff(1043,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(1044,plain,
% 71.94/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 71.94/45.13 tff(1045,plain,
% 71.94/45.13 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1044, 1038, 945])).
% 71.94/45.13 tff(1046,plain,
% 71.94/45.13 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1045, 957])).
% 71.94/45.13 tff(1047,plain,
% 71.94/45.13 (v90(constB5, bitIndex1)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1046, 1028])).
% 71.94/45.13 tff(1048,plain,
% 71.94/45.13 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1049,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1048])).
% 71.94/45.13 tff(1050,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1051,plain,
% 71.94/45.13 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 71.94/45.13 inference(bind,[status(th)],[])).
% 71.94/45.13 tff(1052,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(quant_intro,[status(thm)],[1051])).
% 71.94/45.13 tff(1053,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 71.94/45.13 tff(1054,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 71.94/45.13 tff(1055,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1054, 1050])).
% 71.94/45.13 tff(1056,plain,(
% 71.94/45.13 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(skolemize,[status(sab)],[1055])).
% 71.94/45.13 tff(1057,plain,
% 71.94/45.13 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1056, 1049])).
% 71.94/45.13 tff(1058,plain,
% 71.94/45.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1059,plain,
% 71.94/45.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 71.94/45.13 inference(quant_inst,[status(thm)],[])).
% 71.94/45.13 tff(1060,plain,
% 71.94/45.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0))),
% 71.94/45.13 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 71.94/45.13 tff(1061,plain,
% 71.94/45.13 (~v130(constB3, bitIndex0)),
% 71.94/45.13 inference(unit_resolution,[status(thm)],[1060, 1057, 833])).
% 71.94/45.13 tff(1062,plain,
% 71.94/45.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 71.94/45.13 inference(rewrite,[status(thm)],[])).
% 71.94/45.13 tff(1063,plain,
% 71.94/45.13 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1064,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1063])).
% 71.94/45.14 tff(1065,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1064, 1062])).
% 71.94/45.14 tff(1066,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1067,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 71.94/45.14 tff(1068,plain,
% 71.94/45.14 ((~v127(constB3, bitIndex0)) | v26(constB3)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1067, 769, 1061])).
% 71.94/45.14 tff(1069,plain,
% 71.94/45.14 (~v127(constB3, bitIndex0)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1068, 268])).
% 71.94/45.14 tff(1070,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1071,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1072,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 71.94/45.14 tff(1073,plain,
% 71.94/45.14 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1072, 787, 867])).
% 71.94/45.14 tff(1074,plain,
% 71.94/45.14 (~v129(constB4, bitIndex0)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1073, 1069])).
% 71.94/45.14 tff(1075,plain,
% 71.94/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1076,plain,
% 71.94/45.14 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1077,plain,
% 71.94/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1076])).
% 71.94/45.14 tff(1078,plain,
% 71.94/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1077, 1075])).
% 71.94/45.14 tff(1079,plain,
% 71.94/45.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1080,plain,
% 71.94/45.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 71.94/45.14 tff(1081,plain,
% 71.94/45.14 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1080, 802, 1074])).
% 71.94/45.14 tff(1082,plain,
% 71.94/45.14 (~v90(constB4, bitIndex0)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1081, 907])).
% 71.94/45.14 tff(1083,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1084,plain,
% 71.94/45.14 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1085,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1084])).
% 71.94/45.14 tff(1086,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1085, 1083])).
% 71.94/45.14 tff(1087,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1088,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 71.94/45.14 tff(1089,plain,
% 71.94/45.14 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1088, 362, 945])).
% 71.94/45.14 tff(1090,plain,
% 71.94/45.14 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1089, 957])).
% 71.94/45.14 tff(1091,plain,
% 71.94/45.14 (~v90(constB5, bitIndex0)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1090, 1082])).
% 71.94/45.14 tff(1092,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1093,plain,
% 71.94/45.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1092])).
% 71.94/45.14 tff(1094,plain,
% 71.94/45.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1095,plain,
% 71.94/45.14 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1096,plain,
% 71.94/45.14 (![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1095])).
% 71.94/45.14 tff(1097,axiom,(![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 71.94/45.14 tff(1098,plain,
% 71.94/45.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 71.94/45.14 tff(1099,plain,
% 71.94/45.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1098, 1094])).
% 71.94/45.14 tff(1100,plain,(
% 71.94/45.14 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1099])).
% 71.94/45.14 tff(1101,plain,
% 71.94/45.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1100, 1093])).
% 71.94/45.14 tff(1102,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1103,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1104,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5)),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 71.94/45.14 tff(1105,plain,
% 71.94/45.14 (v125(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1104, 1101, 1091, 1047, 966])).
% 71.94/45.14 tff(1106,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1107,plain,
% 71.94/45.14 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1106])).
% 71.94/45.14 tff(1108,plain,
% 71.94/45.14 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1109,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 71.94/45.14 tff(1110,plain,
% 71.94/45.14 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 71.94/45.14 tff(1111,plain,(
% 71.94/45.14 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1110])).
% 71.94/45.14 tff(1112,plain,
% 71.94/45.14 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1111, 1107])).
% 71.94/45.14 tff(1113,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB5) | (~v125(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB5) | (~v125(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1114,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB5) | (~v125(constB5)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1115,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB5) | (~v125(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 71.94/45.14 tff(1116,plain,
% 71.94/45.14 (v113(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1115, 1112, 1105])).
% 71.94/45.14 tff(1117,assumption,(v26(constB5)), introduced(assumption)).
% 71.94/45.14 tff(1118,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1119,plain,
% 71.94/45.14 ($false),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1118, 26, 1117])).
% 71.94/45.14 tff(1120,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 71.94/45.14 tff(1121,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1122,plain,
% 71.94/45.14 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1123,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1122])).
% 71.94/45.14 tff(1124,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1123, 1121])).
% 71.94/45.14 tff(1125,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1126,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 71.94/45.14 tff(1127,plain,
% 71.94/45.14 (v112(constB5) | (~v113(constB5))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1126, 463, 1120])).
% 71.94/45.14 tff(1128,plain,
% 71.94/45.14 (v112(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1127, 1116])).
% 71.94/45.14 tff(1129,plain,
% 71.94/45.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1130,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1131,plain,
% 71.94/45.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1130, 1129])).
% 71.94/45.14 tff(1132,plain,
% 71.94/45.14 (v108(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1131, 475, 1128])).
% 71.94/45.14 tff(1133,plain,
% 71.94/45.14 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1134,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 71.94/45.14 tff(1135,plain,
% 71.94/45.14 (nextState(constB5, constB6)),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 71.94/45.14 tff(1136,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1137,plain,
% 71.94/45.14 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1138,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1137])).
% 71.94/45.14 tff(1139,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1138, 1136])).
% 71.94/45.14 tff(1140,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1141,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 71.94/45.14 tff(1142,plain,
% 71.94/45.14 (v110(constB6) | (~v108(constB5))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1141, 492, 1135])).
% 71.94/45.14 tff(1143,plain,
% 71.94/45.14 (v110(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1142, 1132])).
% 71.94/45.14 tff(1144,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1145,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1146,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 71.94/45.14 tff(1147,plain,
% 71.94/45.14 (~v104(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1146, 510, 1135, 942])).
% 71.94/45.14 tff(1148,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1149,plain,
% 71.94/45.14 (((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1150,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1149])).
% 71.94/45.14 tff(1151,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1150, 1148])).
% 71.94/45.14 tff(1152,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1153,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 71.94/45.14 tff(1154,plain,
% 71.94/45.14 (v104(constB6) | v102(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1153, 524, 1135])).
% 71.94/45.14 tff(1155,plain,
% 71.94/45.14 (v102(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1154, 1147])).
% 71.94/45.14 tff(1156,plain,
% 71.94/45.14 (v1(constB6) <=> v1(constB6)),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1157,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 71.94/45.14 tff(1158,plain,
% 71.94/45.14 (v1(constB6)),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 71.94/45.14 tff(1159,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1160,plain,
% 71.94/45.14 (((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))) <=> ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1161,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1160])).
% 71.94/45.14 tff(1162,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1161, 1159])).
% 71.94/45.14 tff(1163,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1164,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1163, 1162])).
% 71.94/45.14 tff(1165,plain,
% 71.94/45.14 (v101(constB6) | (~v102(constB6))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1164, 545, 1135, 1158])).
% 71.94/45.14 tff(1166,plain,
% 71.94/45.14 (v101(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1165, 1155])).
% 71.94/45.14 tff(1167,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1168,plain,
% 71.94/45.14 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1169,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 71.94/45.14 inference(monotonicity,[status(thm)],[1168])).
% 71.94/45.14 tff(1170,plain,
% 71.94/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 71.94/45.14 inference(transitivity,[status(thm)],[1169, 1167])).
% 71.94/45.14 tff(1171,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1172,plain,
% 71.94/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1171, 1170])).
% 71.94/45.14 tff(1173,plain,
% 71.94/45.14 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1172, 563, 1135])).
% 71.94/45.14 tff(1174,plain,
% 71.94/45.14 (v100(constB6) | (~v110(constB6))),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1173, 1166])).
% 71.94/45.14 tff(1175,plain,
% 71.94/45.14 (v100(constB6)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1174, 1143])).
% 71.94/45.14 tff(1176,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1177,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1176])).
% 71.94/45.14 tff(1178,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1179,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 71.94/45.14 tff(1180,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 71.94/45.14 tff(1181,plain,(
% 71.94/45.14 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1180])).
% 71.94/45.14 tff(1182,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1181, 1177])).
% 71.94/45.14 tff(1183,plain,
% 71.94/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v121(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1184,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v121(constB5)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1185,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v121(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 71.94/45.14 tff(1186,plain,
% 71.94/45.14 (~v121(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1185, 1182, 966])).
% 71.94/45.14 tff(1187,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1188,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1187])).
% 71.94/45.14 tff(1189,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1190,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 71.94/45.14 tff(1191,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 71.94/45.14 tff(1192,plain,(
% 71.94/45.14 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1191])).
% 71.94/45.14 tff(1193,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1192, 1188])).
% 71.94/45.14 tff(1194,plain,
% 71.94/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v122(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v122(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1195,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v122(constB5)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1196,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v122(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 71.94/45.14 tff(1197,plain,
% 71.94/45.14 (~v122(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1196, 1193, 966])).
% 71.94/45.14 tff(1198,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1199,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1198])).
% 71.94/45.14 tff(1200,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1201,plain,
% 71.94/45.14 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1202,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1201])).
% 71.94/45.14 tff(1203,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 71.94/45.14 tff(1204,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 71.94/45.14 tff(1205,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1204, 1200])).
% 71.94/45.14 tff(1206,plain,(
% 71.94/45.14 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1205])).
% 71.94/45.14 tff(1207,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1206, 1199])).
% 71.94/45.14 tff(1208,plain,
% 71.94/45.14 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1209,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1210,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 71.94/45.14 tff(1211,plain,
% 71.94/45.14 (~v119(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1210, 1207, 1047])).
% 71.94/45.14 tff(1212,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 71.94/45.14 inference(bind,[status(th)],[])).
% 71.94/45.14 tff(1213,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 71.94/45.14 inference(quant_intro,[status(thm)],[1212])).
% 71.94/45.14 tff(1214,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1215,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 71.94/45.14 tff(1216,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 71.94/45.14 tff(1217,plain,(
% 71.94/45.14 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 71.94/45.14 inference(skolemize,[status(sab)],[1216])).
% 71.94/45.14 tff(1218,plain,
% 71.94/45.14 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1217, 1213])).
% 71.94/45.14 tff(1219,plain,
% 71.94/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v123(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v123(constB5)))),
% 71.94/45.14 inference(rewrite,[status(thm)],[])).
% 71.94/45.14 tff(1220,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v123(constB5)))),
% 71.94/45.14 inference(quant_inst,[status(thm)],[])).
% 71.94/45.14 tff(1221,plain,
% 71.94/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v123(constB5))),
% 71.94/45.14 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 71.94/45.14 tff(1222,plain,
% 71.94/45.14 (~v123(constB5)),
% 71.94/45.14 inference(unit_resolution,[status(thm)],[1221, 1218, 1047])).
% 71.94/45.14 tff(1223,plain,
% 71.94/45.14 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1224,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1223])).
% 71.94/45.15 tff(1225,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1226,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 71.94/45.15 tff(1227,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 71.94/45.15 tff(1228,plain,(
% 71.94/45.15 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1227])).
% 71.94/45.15 tff(1229,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1228, 1224])).
% 71.94/45.15 tff(1230,plain,
% 71.94/45.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v124(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v124(constB5)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1231,plain,
% 71.94/45.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v124(constB5)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1232,plain,
% 71.94/45.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v124(constB5))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 71.94/45.15 tff(1233,plain,
% 71.94/45.15 (~v124(constB5)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1232, 1229, 1047])).
% 71.94/45.15 tff(1234,plain,
% 71.94/45.15 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1235,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1234])).
% 71.94/45.15 tff(1236,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1237,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 71.94/45.15 tff(1238,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 71.94/45.15 tff(1239,plain,(
% 71.94/45.15 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1238])).
% 71.94/45.15 tff(1240,plain,
% 71.94/45.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1239, 1235])).
% 71.94/45.15 tff(1241,plain,
% 71.94/45.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v120(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v120(constB5)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1242,plain,
% 71.94/45.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v120(constB5)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1243,plain,
% 71.94/45.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v120(constB5))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 71.94/45.15 tff(1244,plain,
% 71.94/45.15 (~v120(constB5)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1243, 1240, 1047])).
% 71.94/45.15 tff(1245,plain,
% 71.94/45.15 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1246,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1245])).
% 71.94/45.15 tff(1247,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1248,plain,
% 71.94/45.15 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1249,plain,
% 71.94/45.15 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1248])).
% 71.94/45.15 tff(1250,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 71.94/45.15 tff(1251,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 71.94/45.15 tff(1252,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1251, 1247])).
% 71.94/45.15 tff(1253,plain,(
% 71.94/45.15 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1252])).
% 71.94/45.15 tff(1254,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1253, 1246])).
% 71.94/45.15 tff(1255,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1256,plain,
% 71.94/45.15 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2))) <=> ((~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1257,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)))),
% 71.94/45.15 inference(monotonicity,[status(thm)],[1256])).
% 71.94/45.15 tff(1258,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.15 inference(transitivity,[status(thm)],[1257, 1255])).
% 71.94/45.15 tff(1259,plain,
% 71.94/45.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1260,plain,
% 71.94/45.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 71.94/45.15 tff(1261,plain,
% 71.94/45.15 (~v130(constB5, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1260, 1254, 1244, 1233, 1222, 1211, 1197, 1186])).
% 71.94/45.15 tff(1262,plain,
% 71.94/45.15 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1263,plain,
% 71.94/45.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1262])).
% 71.94/45.15 tff(1264,plain,
% 71.94/45.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1265,plain,
% 71.94/45.15 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1266,plain,
% 71.94/45.15 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1265])).
% 71.94/45.15 tff(1267,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 71.94/45.15 tff(1268,plain,
% 71.94/45.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 71.94/45.15 tff(1269,plain,
% 71.94/45.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1268, 1264])).
% 71.94/45.15 tff(1270,plain,(
% 71.94/45.15 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1269])).
% 71.94/45.15 tff(1271,plain,
% 71.94/45.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1270, 1263])).
% 71.94/45.15 tff(1272,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1273,plain,
% 71.94/45.15 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1274,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 71.94/45.15 inference(monotonicity,[status(thm)],[1273])).
% 71.94/45.15 tff(1275,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 71.94/45.15 inference(transitivity,[status(thm)],[1274, 1272])).
% 71.94/45.15 tff(1276,plain,
% 71.94/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1277,plain,
% 71.94/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 71.94/45.15 tff(1278,plain,
% 71.94/45.15 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1277, 1271, 1120])).
% 71.94/45.15 tff(1279,plain,
% 71.94/45.15 (~v127(constB5, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1278, 1261])).
% 71.94/45.15 tff(1280,plain,
% 71.94/45.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1281,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1280])).
% 71.94/45.15 tff(1282,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1283,plain,
% 71.94/45.15 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1284,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1283])).
% 71.94/45.15 tff(1285,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 71.94/45.15 tff(1286,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 71.94/45.15 tff(1287,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1286, 1282])).
% 71.94/45.15 tff(1288,plain,(
% 71.94/45.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1287])).
% 71.94/45.15 tff(1289,plain,
% 71.94/45.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1288, 1281])).
% 71.94/45.15 tff(1290,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1291,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1292,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 71.94/45.15 tff(1293,plain,
% 71.94/45.15 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1292, 1289, 1135])).
% 71.94/45.15 tff(1294,plain,
% 71.94/45.15 (~v129(constB6, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1293, 1279])).
% 71.94/45.15 tff(1295,plain,
% 71.94/45.15 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1296,plain,
% 71.94/45.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1295])).
% 71.94/45.15 tff(1297,plain,
% 71.94/45.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1298,plain,
% 71.94/45.15 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1299,plain,
% 71.94/45.15 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1298])).
% 71.94/45.15 tff(1300,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_6')).
% 71.94/45.15 tff(1301,plain,
% 71.94/45.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 71.94/45.15 tff(1302,plain,
% 71.94/45.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1301, 1297])).
% 71.94/45.15 tff(1303,plain,(
% 71.94/45.15 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1302])).
% 71.94/45.15 tff(1304,plain,
% 71.94/45.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1303, 1296])).
% 71.94/45.15 tff(1305,plain,
% 71.94/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1306,plain,
% 71.94/45.15 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1307,plain,
% 71.94/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))))),
% 71.94/45.15 inference(monotonicity,[status(thm)],[1306])).
% 71.94/45.15 tff(1308,plain,
% 71.94/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 71.94/45.15 inference(transitivity,[status(thm)],[1307, 1305])).
% 71.94/45.15 tff(1309,plain,
% 71.94/45.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1310,plain,
% 71.94/45.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 71.94/45.15 tff(1311,plain,
% 71.94/45.15 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1310, 1304, 1294])).
% 71.94/45.15 tff(1312,plain,
% 71.94/45.15 (~v90(constB6, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1311, 1175])).
% 71.94/45.15 tff(1313,plain,
% 71.94/45.15 ((~v1(constB7)) <=> (~v1(constB7))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1314,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 71.94/45.15 tff(1315,plain,
% 71.94/45.15 (~v1(constB7)),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 71.94/45.15 tff(1316,plain,
% 71.94/45.15 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1317,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 71.94/45.15 tff(1318,plain,
% 71.94/45.15 (nextState(constB6, constB7)),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 71.94/45.15 tff(1319,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1320,plain,
% 71.94/45.15 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1321,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 71.94/45.15 inference(monotonicity,[status(thm)],[1320])).
% 71.94/45.15 tff(1322,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 71.94/45.15 inference(transitivity,[status(thm)],[1321, 1319])).
% 71.94/45.15 tff(1323,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1324,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 71.94/45.15 tff(1325,plain,
% 71.94/45.15 (~v101(constB7)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1324, 288, 1318, 1315])).
% 71.94/45.15 tff(1326,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1327,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1328,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 71.94/45.15 tff(1329,plain,
% 71.94/45.15 (v101(constB7) | (~v100(constB7))),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1328, 305, 1318])).
% 71.94/45.15 tff(1330,plain,
% 71.94/45.15 (~v100(constB7)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1329, 1325])).
% 71.94/45.15 tff(1331,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1332,plain,
% 71.94/45.15 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1333,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 71.94/45.15 inference(monotonicity,[status(thm)],[1332])).
% 71.94/45.15 tff(1334,plain,
% 71.94/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 71.94/45.15 inference(transitivity,[status(thm)],[1333, 1331])).
% 71.94/45.15 tff(1335,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 71.94/45.15 inference(quant_inst,[status(thm)],[])).
% 71.94/45.15 tff(1336,plain,
% 71.94/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 71.94/45.15 tff(1337,plain,
% 71.94/45.15 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1336, 320, 1318])).
% 71.94/45.15 tff(1338,plain,
% 71.94/45.15 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1337, 1330])).
% 71.94/45.15 tff(1339,plain,
% 71.94/45.15 (~v90(constB7, bitIndex2)),
% 71.94/45.15 inference(unit_resolution,[status(thm)],[1338, 1312])).
% 71.94/45.15 tff(1340,plain,
% 71.94/45.15 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1341,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1340])).
% 71.94/45.15 tff(1342,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1343,plain,
% 71.94/45.15 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 71.94/45.15 inference(bind,[status(th)],[])).
% 71.94/45.15 tff(1344,plain,
% 71.94/45.15 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(quant_intro,[status(thm)],[1343])).
% 71.94/45.15 tff(1345,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 71.94/45.15 tff(1346,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 71.94/45.15 tff(1347,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1346, 1342])).
% 71.94/45.15 tff(1348,plain,(
% 71.94/45.15 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(skolemize,[status(sab)],[1347])).
% 71.94/45.15 tff(1349,plain,
% 71.94/45.15 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 71.94/45.15 inference(modus_ponens,[status(thm)],[1348, 1341])).
% 71.94/45.15 tff(1350,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1351,plain,
% 71.94/45.15 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1))) <=> ((~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.15 inference(rewrite,[status(thm)],[])).
% 71.94/45.15 tff(1352,plain,
% 71.94/45.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1351])).
% 71.94/45.16 tff(1353,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1352, 1350])).
% 71.94/45.16 tff(1354,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1355,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB5, bitIndex1)) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 71.94/45.16 tff(1356,plain,
% 71.94/45.16 (~v130(constB5, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1355, 1349, 1244, 1233, 1222, 1211, 1197, 1186])).
% 71.94/45.16 tff(1357,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1358,plain,
% 71.94/45.16 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1359,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1358])).
% 71.94/45.16 tff(1360,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1359, 1357])).
% 71.94/45.16 tff(1361,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1362,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 71.94/45.16 tff(1363,plain,
% 71.94/45.16 ((~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1362, 695, 1120])).
% 71.94/45.16 tff(1364,plain,
% 71.94/45.16 (~v127(constB5, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1363, 1356])).
% 71.94/45.16 tff(1365,plain,
% 71.94/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1366,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1367,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 71.94/45.16 tff(1368,plain,
% 71.94/45.16 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1367, 713, 1135])).
% 71.94/45.16 tff(1369,plain,
% 71.94/45.16 (~v129(constB6, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1368, 1364])).
% 71.94/45.16 tff(1370,plain,
% 71.94/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1371,plain,
% 71.94/45.16 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1372,plain,
% 71.94/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1371])).
% 71.94/45.16 tff(1373,plain,
% 71.94/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1372, 1370])).
% 71.94/45.16 tff(1374,plain,
% 71.94/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1375,plain,
% 71.94/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1374, 1373])).
% 71.94/45.16 tff(1376,plain,
% 71.94/45.16 ((~v90(constB6, bitIndex1)) | (~v100(constB6))),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1375, 728, 1369])).
% 71.94/45.16 tff(1377,plain,
% 71.94/45.16 (~v90(constB6, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1376, 1175])).
% 71.94/45.16 tff(1378,plain,
% 71.94/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1379,plain,
% 71.94/45.16 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1380,plain,
% 71.94/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1379])).
% 71.94/45.16 tff(1381,plain,
% 71.94/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1380, 1378])).
% 71.94/45.16 tff(1382,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1383,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 71.94/45.16 tff(1384,plain,
% 71.94/45.16 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1383, 341, 1318])).
% 71.94/45.16 tff(1385,plain,
% 71.94/45.16 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1384, 1330])).
% 71.94/45.16 tff(1386,plain,
% 71.94/45.16 (~v90(constB7, bitIndex1)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1385, 1377])).
% 71.94/45.16 tff(1387,plain,
% 71.94/45.16 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1388,plain,
% 71.94/45.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1387])).
% 71.94/45.16 tff(1389,plain,
% 71.94/45.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1390,plain,
% 71.94/45.16 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | v124(VarCurr)) <=> (v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)))), rewrite(((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1391,plain,
% 71.94/45.16 (![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1390])).
% 71.94/45.16 tff(1392,axiom,(![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 71.94/45.16 tff(1393,plain,
% 71.94/45.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 71.94/45.16 tff(1394,plain,
% 71.94/45.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1393, 1389])).
% 71.94/45.16 tff(1395,plain,(
% 71.94/45.16 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(skolemize,[status(sab)],[1394])).
% 71.94/45.16 tff(1396,plain,
% 71.94/45.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1395, 1388])).
% 71.94/45.16 tff(1397,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1398,plain,
% 71.94/45.16 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0)) <=> (v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1399,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1398])).
% 71.94/45.16 tff(1400,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1399, 1397])).
% 71.94/45.16 tff(1401,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1402,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB5, bitIndex0) | v123(constB5) | v122(constB5) | v119(constB5) | v120(constB5) | v121(constB5) | v124(constB5)),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 71.94/45.16 tff(1403,plain,
% 71.94/45.16 (v130(constB5, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1402, 1396, 1244, 1233, 1222, 1211, 1197, 1186])).
% 71.94/45.16 tff(1404,plain,
% 71.94/45.16 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1405,plain,
% 71.94/45.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1404])).
% 71.94/45.16 tff(1406,plain,
% 71.94/45.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1407,plain,
% 71.94/45.16 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) <=> ((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1408,plain,
% 71.94/45.16 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1407])).
% 71.94/45.16 tff(1409,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 71.94/45.16 tff(1410,plain,
% 71.94/45.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 71.94/45.16 tff(1411,plain,
% 71.94/45.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1410, 1406])).
% 71.94/45.16 tff(1412,plain,(
% 71.94/45.16 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(skolemize,[status(sab)],[1411])).
% 71.94/45.16 tff(1413,plain,
% 71.94/45.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1412, 1405])).
% 71.94/45.16 tff(1414,plain,
% 71.94/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1415,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1416,plain,
% 71.94/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 71.94/45.16 tff(1417,plain,
% 71.94/45.16 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1416, 1413, 1120])).
% 71.94/45.16 tff(1418,plain,
% 71.94/45.16 (v127(constB5, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1417, 1403])).
% 71.94/45.16 tff(1419,plain,
% 71.94/45.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1420,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1419])).
% 71.94/45.16 tff(1421,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1422,plain,
% 71.94/45.16 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1423,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1422])).
% 71.94/45.16 tff(1424,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 71.94/45.16 tff(1425,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 71.94/45.16 tff(1426,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1425, 1421])).
% 71.94/45.16 tff(1427,plain,(
% 71.94/45.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(skolemize,[status(sab)],[1426])).
% 71.94/45.16 tff(1428,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1427, 1420])).
% 71.94/45.16 tff(1429,plain,
% 71.94/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1430,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1431,plain,
% 71.94/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 71.94/45.16 tff(1432,plain,
% 71.94/45.16 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1431, 1428, 1135])).
% 71.94/45.16 tff(1433,plain,
% 71.94/45.16 (v129(constB6, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1432, 1418])).
% 71.94/45.16 tff(1434,plain,
% 71.94/45.16 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1435,plain,
% 71.94/45.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1434])).
% 71.94/45.16 tff(1436,plain,
% 71.94/45.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1437,plain,
% 71.94/45.16 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1438,plain,
% 71.94/45.16 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1437])).
% 71.94/45.16 tff(1439,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_1')).
% 71.94/45.16 tff(1440,plain,
% 71.94/45.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 71.94/45.16 tff(1441,plain,
% 71.94/45.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1440, 1436])).
% 71.94/45.16 tff(1442,plain,(
% 71.94/45.16 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(skolemize,[status(sab)],[1441])).
% 71.94/45.16 tff(1443,plain,
% 71.94/45.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1442, 1435])).
% 71.94/45.16 tff(1444,plain,
% 71.94/45.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1445,plain,
% 71.94/45.16 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 71.94/45.16 inference(rewrite,[status(thm)],[])).
% 71.94/45.16 tff(1446,plain,
% 71.94/45.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 71.94/45.16 inference(monotonicity,[status(thm)],[1445])).
% 71.94/45.16 tff(1447,plain,
% 71.94/45.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 71.94/45.16 inference(transitivity,[status(thm)],[1446, 1444])).
% 71.94/45.16 tff(1448,plain,
% 71.94/45.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 71.94/45.16 inference(quant_inst,[status(thm)],[])).
% 71.94/45.16 tff(1449,plain,
% 71.94/45.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 71.94/45.16 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 71.94/45.16 tff(1450,plain,
% 71.94/45.16 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1449, 1443, 1433])).
% 71.94/45.16 tff(1451,plain,
% 71.94/45.16 (v90(constB6, bitIndex0)),
% 71.94/45.16 inference(unit_resolution,[status(thm)],[1450, 1175])).
% 71.94/45.16 tff(1452,plain,
% 71.94/45.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 71.94/45.16 inference(bind,[status(th)],[])).
% 71.94/45.16 tff(1453,plain,
% 71.94/45.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.16 inference(quant_intro,[status(thm)],[1452])).
% 71.94/45.17 tff(1454,plain,
% 71.94/45.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1455,plain,
% 71.94/45.17 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1456,plain,
% 71.94/45.17 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1455])).
% 71.94/45.17 tff(1457,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_1')).
% 71.94/45.17 tff(1458,plain,
% 71.94/45.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 71.94/45.17 tff(1459,plain,
% 71.94/45.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1458, 1454])).
% 71.94/45.17 tff(1460,plain,(
% 71.94/45.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(skolemize,[status(sab)],[1459])).
% 71.94/45.17 tff(1461,plain,
% 71.94/45.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1460, 1453])).
% 71.94/45.17 tff(1462,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1463,plain,
% 71.94/45.17 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1464,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1463])).
% 71.94/45.17 tff(1465,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1464, 1462])).
% 71.94/45.17 tff(1466,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1467,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 71.94/45.17 tff(1468,plain,
% 71.94/45.17 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1467, 1461, 1318])).
% 71.94/45.17 tff(1469,plain,
% 71.94/45.17 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1468, 1330])).
% 71.94/45.17 tff(1470,plain,
% 71.94/45.17 (v90(constB7, bitIndex0)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1469, 1451])).
% 71.94/45.17 tff(1471,plain,
% 71.94/45.17 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1472,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1471])).
% 71.94/45.17 tff(1473,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1474,plain,
% 71.94/45.17 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1475,plain,
% 71.94/45.17 (![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1474])).
% 71.94/45.17 tff(1476,axiom,(![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 71.94/45.17 tff(1477,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 71.94/45.17 tff(1478,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1477, 1473])).
% 71.94/45.17 tff(1479,plain,(
% 71.94/45.17 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(skolemize,[status(sab)],[1478])).
% 71.94/45.17 tff(1480,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1479, 1472])).
% 71.94/45.17 tff(1481,plain,
% 71.94/45.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1482,plain,
% 71.94/45.17 (((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)) <=> ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1483,plain,
% 71.94/45.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1482])).
% 71.94/45.17 tff(1484,plain,
% 71.94/45.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1483, 1481])).
% 71.94/45.17 tff(1485,plain,
% 71.94/45.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1486,plain,
% 71.94/45.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 71.94/45.17 tff(1487,plain,
% 71.94/45.17 (v120(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1486, 1480, 1470, 1386, 1339])).
% 71.94/45.17 tff(1488,plain,
% 71.94/45.17 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1489,plain,
% 71.94/45.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1488])).
% 71.94/45.17 tff(1490,plain,
% 71.94/45.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1491,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 71.94/45.17 tff(1492,plain,
% 71.94/45.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 71.94/45.17 tff(1493,plain,(
% 71.94/45.17 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 71.94/45.17 inference(skolemize,[status(sab)],[1492])).
% 71.94/45.17 tff(1494,plain,
% 71.94/45.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1493, 1489])).
% 71.94/45.17 tff(1495,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1496,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1497,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 71.94/45.17 tff(1498,plain,
% 71.94/45.17 (v118(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1497, 1494, 1487])).
% 71.94/45.17 tff(1499,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1500,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1501,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 71.94/45.17 tff(1502,plain,
% 71.94/45.17 (v117(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1501, 405, 1498])).
% 71.94/45.17 tff(1503,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1504,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1505,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 71.94/45.17 tff(1506,plain,
% 71.94/45.17 (v116(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1505, 416, 1502])).
% 71.94/45.17 tff(1507,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1508,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1509,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 71.94/45.17 tff(1510,plain,
% 71.94/45.17 (v115(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1509, 427, 1506])).
% 71.94/45.17 tff(1511,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1512,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1513,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 71.94/45.17 tff(1514,plain,
% 71.94/45.17 (v114(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1513, 438, 1510])).
% 71.94/45.17 tff(1515,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1516,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1517,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 71.94/45.17 tff(1518,plain,
% 71.94/45.17 (v113(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1517, 449, 1514])).
% 71.94/45.17 tff(1519,assumption,(v26(constB7)), introduced(assumption)).
% 71.94/45.17 tff(1520,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1521,plain,
% 71.94/45.17 ($false),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1520, 26, 1519])).
% 71.94/45.17 tff(1522,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 71.94/45.17 tff(1523,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1524,plain,
% 71.94/45.17 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1525,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1524])).
% 71.94/45.17 tff(1526,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1525, 1523])).
% 71.94/45.17 tff(1527,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1528,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 71.94/45.17 tff(1529,plain,
% 71.94/45.17 (v112(constB7) | (~v113(constB7))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1528, 463, 1522])).
% 71.94/45.17 tff(1530,plain,
% 71.94/45.17 (v112(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1529, 1518])).
% 71.94/45.17 tff(1531,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1532,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1533,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 71.94/45.17 tff(1534,plain,
% 71.94/45.17 (v108(constB7)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1533, 475, 1530])).
% 71.94/45.17 tff(1535,plain,
% 71.94/45.17 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1536,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 71.94/45.17 tff(1537,plain,
% 71.94/45.17 (nextState(constB7, constB8)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 71.94/45.17 tff(1538,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1539,plain,
% 71.94/45.17 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1540,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1539])).
% 71.94/45.17 tff(1541,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1540, 1538])).
% 71.94/45.17 tff(1542,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1543,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 71.94/45.17 tff(1544,plain,
% 71.94/45.17 (v110(constB8) | (~v108(constB7))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1543, 492, 1537])).
% 71.94/45.17 tff(1545,plain,
% 71.94/45.17 (v110(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1544, 1534])).
% 71.94/45.17 tff(1546,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1547,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1548,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 71.94/45.17 tff(1549,plain,
% 71.94/45.17 (~v104(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1548, 510, 1537, 1315])).
% 71.94/45.17 tff(1550,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1551,plain,
% 71.94/45.17 (((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1552,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1551])).
% 71.94/45.17 tff(1553,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1552, 1550])).
% 71.94/45.17 tff(1554,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1555,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 71.94/45.17 tff(1556,plain,
% 71.94/45.17 (v104(constB8) | v102(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1555, 524, 1537])).
% 71.94/45.17 tff(1557,plain,
% 71.94/45.17 (v102(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1556, 1549])).
% 71.94/45.17 tff(1558,plain,
% 71.94/45.17 (v1(constB8) <=> v1(constB8)),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1559,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 71.94/45.17 tff(1560,plain,
% 71.94/45.17 (v1(constB8)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 71.94/45.17 tff(1561,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1562,plain,
% 71.94/45.17 (((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))) <=> ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1563,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1562])).
% 71.94/45.17 tff(1564,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1563, 1561])).
% 71.94/45.17 tff(1565,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1566,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 71.94/45.17 tff(1567,plain,
% 71.94/45.17 (v101(constB8) | (~v102(constB8))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1566, 545, 1537, 1560])).
% 71.94/45.17 tff(1568,plain,
% 71.94/45.17 (v101(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1567, 1557])).
% 71.94/45.17 tff(1569,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1570,plain,
% 71.94/45.17 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1571,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1570])).
% 71.94/45.17 tff(1572,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1571, 1569])).
% 71.94/45.17 tff(1573,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1574,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 71.94/45.17 tff(1575,plain,
% 71.94/45.17 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1574, 563, 1537])).
% 71.94/45.17 tff(1576,plain,
% 71.94/45.17 (v100(constB8) | (~v110(constB8))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1575, 1568])).
% 71.94/45.17 tff(1577,plain,
% 71.94/45.17 (v100(constB8)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1576, 1545])).
% 71.94/45.17 tff(1578,plain,
% 71.94/45.17 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1579,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1578])).
% 71.94/45.17 tff(1580,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1581,plain,
% 71.94/45.17 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 71.94/45.17 inference(bind,[status(th)],[])).
% 71.94/45.17 tff(1582,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(quant_intro,[status(thm)],[1581])).
% 71.94/45.17 tff(1583,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 71.94/45.17 tff(1584,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 71.94/45.17 tff(1585,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1584, 1580])).
% 71.94/45.17 tff(1586,plain,(
% 71.94/45.17 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(skolemize,[status(sab)],[1585])).
% 71.94/45.17 tff(1587,plain,
% 71.94/45.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1586, 1579])).
% 71.94/45.17 tff(1588,plain,
% 71.94/45.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1589,plain,
% 71.94/45.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1590,plain,
% 71.94/45.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 71.94/45.17 tff(1591,plain,
% 71.94/45.17 (~v130(constB7, bitIndex2)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1590, 1587, 1487])).
% 71.94/45.17 tff(1592,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1593,plain,
% 71.94/45.17 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1594,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)))),
% 71.94/45.17 inference(monotonicity,[status(thm)],[1593])).
% 71.94/45.17 tff(1595,plain,
% 71.94/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 71.94/45.17 inference(transitivity,[status(thm)],[1594, 1592])).
% 71.94/45.17 tff(1596,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1597,plain,
% 71.94/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 71.94/45.17 tff(1598,plain,
% 71.94/45.17 ((~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1597, 1271, 1522])).
% 71.94/45.17 tff(1599,plain,
% 71.94/45.17 (~v127(constB7, bitIndex2)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1598, 1591])).
% 71.94/45.17 tff(1600,plain,
% 71.94/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1601,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 71.94/45.17 inference(quant_inst,[status(thm)],[])).
% 71.94/45.17 tff(1602,plain,
% 71.94/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 71.94/45.17 inference(modus_ponens,[status(thm)],[1601, 1600])).
% 71.94/45.17 tff(1603,plain,
% 71.94/45.17 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1602, 1289, 1537])).
% 71.94/45.17 tff(1604,plain,
% 71.94/45.17 (~v129(constB8, bitIndex2)),
% 71.94/45.17 inference(unit_resolution,[status(thm)],[1603, 1599])).
% 71.94/45.17 tff(1605,plain,
% 71.94/45.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1606,plain,
% 71.94/45.17 (((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 71.94/45.17 inference(rewrite,[status(thm)],[])).
% 71.94/45.17 tff(1607,plain,
% 71.94/45.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))))),
% 71.94/45.18 inference(monotonicity,[status(thm)],[1606])).
% 71.94/45.18 tff(1608,plain,
% 71.94/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 71.94/45.18 inference(transitivity,[status(thm)],[1607, 1605])).
% 71.94/45.18 tff(1609,plain,
% 71.94/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1610,plain,
% 71.94/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 71.94/45.18 tff(1611,plain,
% 71.94/45.18 ((~v90(constB8, bitIndex2)) | (~v100(constB8))),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1610, 1304, 1604])).
% 71.94/45.18 tff(1612,plain,
% 71.94/45.18 (~v90(constB8, bitIndex2)),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1611, 1577])).
% 71.94/45.18 tff(1613,plain,
% 71.94/45.18 ((~v1(constB9)) <=> (~v1(constB9))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1614,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 71.94/45.18 tff(1615,plain,
% 71.94/45.18 (~v1(constB9)),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 71.94/45.18 tff(1616,plain,
% 71.94/45.18 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1617,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 71.94/45.18 tff(1618,plain,
% 71.94/45.18 (nextState(constB8, constB9)),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 71.94/45.18 tff(1619,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1620,plain,
% 71.94/45.18 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1621,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 71.94/45.18 inference(monotonicity,[status(thm)],[1620])).
% 71.94/45.18 tff(1622,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 71.94/45.18 inference(transitivity,[status(thm)],[1621, 1619])).
% 71.94/45.18 tff(1623,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1624,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 71.94/45.18 tff(1625,plain,
% 71.94/45.18 (~v101(constB9)),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1624, 288, 1618, 1615])).
% 71.94/45.18 tff(1626,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1627,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1628,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 71.94/45.18 tff(1629,plain,
% 71.94/45.18 (v101(constB9) | (~v100(constB9))),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1628, 305, 1618])).
% 71.94/45.18 tff(1630,plain,
% 71.94/45.18 (~v100(constB9)),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1629, 1625])).
% 71.94/45.18 tff(1631,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1632,plain,
% 71.94/45.18 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1633,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))))),
% 71.94/45.18 inference(monotonicity,[status(thm)],[1632])).
% 71.94/45.18 tff(1634,plain,
% 71.94/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 71.94/45.18 inference(transitivity,[status(thm)],[1633, 1631])).
% 71.94/45.18 tff(1635,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1636,plain,
% 71.94/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 71.94/45.18 tff(1637,plain,
% 71.94/45.18 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1636, 320, 1618])).
% 71.94/45.18 tff(1638,plain,
% 71.94/45.18 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1637, 1630])).
% 71.94/45.18 tff(1639,plain,
% 71.94/45.18 (~v90(constB9, bitIndex2)),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1638, 1612])).
% 71.94/45.18 tff(1640,plain,
% 71.94/45.18 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 71.94/45.18 inference(bind,[status(th)],[])).
% 71.94/45.18 tff(1641,plain,
% 71.94/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(quant_intro,[status(thm)],[1640])).
% 71.94/45.18 tff(1642,plain,
% 71.94/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1643,plain,
% 71.94/45.18 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 71.94/45.18 inference(bind,[status(th)],[])).
% 71.94/45.18 tff(1644,plain,
% 71.94/45.18 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(quant_intro,[status(thm)],[1643])).
% 71.94/45.18 tff(1645,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 71.94/45.18 tff(1646,plain,
% 71.94/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 71.94/45.18 tff(1647,plain,
% 71.94/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1646, 1642])).
% 71.94/45.18 tff(1648,plain,(
% 71.94/45.18 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(skolemize,[status(sab)],[1647])).
% 71.94/45.18 tff(1649,plain,
% 71.94/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1648, 1641])).
% 71.94/45.18 tff(1650,plain,
% 71.94/45.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1651,plain,
% 71.94/45.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1652,plain,
% 71.94/45.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1)),
% 71.94/45.18 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 71.94/45.18 tff(1653,plain,
% 71.94/45.18 (v130(constB7, bitIndex1)),
% 71.94/45.18 inference(unit_resolution,[status(thm)],[1652, 1649, 1487])).
% 71.94/45.18 tff(1654,plain,
% 71.94/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 71.94/45.18 inference(rewrite,[status(thm)],[])).
% 71.94/45.18 tff(1655,plain,
% 71.94/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 71.94/45.18 inference(quant_inst,[status(thm)],[])).
% 71.94/45.18 tff(1656,plain,
% 71.94/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 72.03/45.18 tff(1657,plain,
% 72.03/45.18 ((~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1656, 990, 1522])).
% 72.03/45.18 tff(1658,plain,
% 72.03/45.18 (v127(constB7, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1657, 1653])).
% 72.03/45.18 tff(1659,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1660,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1661,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 72.03/45.18 tff(1662,plain,
% 72.03/45.18 ((~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1661, 1005, 1537])).
% 72.03/45.18 tff(1663,plain,
% 72.03/45.18 (v129(constB8, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1662, 1658])).
% 72.03/45.18 tff(1664,plain,
% 72.03/45.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1665,plain,
% 72.03/45.18 ((v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1666,plain,
% 72.03/45.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))))),
% 72.03/45.18 inference(monotonicity,[status(thm)],[1665])).
% 72.03/45.18 tff(1667,plain,
% 72.03/45.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 72.03/45.18 inference(transitivity,[status(thm)],[1666, 1664])).
% 72.03/45.18 tff(1668,plain,
% 72.03/45.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1669,plain,
% 72.03/45.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 72.03/45.18 tff(1670,plain,
% 72.03/45.18 (v90(constB8, bitIndex1) | (~v100(constB8))),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1669, 1020, 1663])).
% 72.03/45.18 tff(1671,plain,
% 72.03/45.18 (v90(constB8, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1670, 1577])).
% 72.03/45.18 tff(1672,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1673,plain,
% 72.03/45.18 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1674,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)))),
% 72.03/45.18 inference(monotonicity,[status(thm)],[1673])).
% 72.03/45.18 tff(1675,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 72.03/45.18 inference(transitivity,[status(thm)],[1674, 1672])).
% 72.03/45.18 tff(1676,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1677,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1676, 1675])).
% 72.03/45.18 tff(1678,plain,
% 72.03/45.18 ((~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1677, 1038, 1618])).
% 72.03/45.18 tff(1679,plain,
% 72.03/45.18 ((~v90(constB8, bitIndex1)) | v90(constB9, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1678, 1630])).
% 72.03/45.18 tff(1680,plain,
% 72.03/45.18 (v90(constB9, bitIndex1)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1679, 1671])).
% 72.03/45.18 tff(1681,plain,
% 72.03/45.18 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1682,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1681])).
% 72.03/45.18 tff(1683,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1684,plain,
% 72.03/45.18 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1685,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1684])).
% 72.03/45.18 tff(1686,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 72.03/45.18 tff(1687,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 72.03/45.18 tff(1688,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1687, 1683])).
% 72.03/45.18 tff(1689,plain,(
% 72.03/45.18 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(skolemize,[status(sab)],[1688])).
% 72.03/45.18 tff(1690,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1689, 1682])).
% 72.03/45.18 tff(1691,plain,
% 72.03/45.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1692,plain,
% 72.03/45.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1693,plain,
% 72.03/45.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 72.03/45.18 tff(1694,plain,
% 72.03/45.18 (~v130(constB7, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1693, 1690, 1487])).
% 72.03/45.18 tff(1695,plain,
% 72.03/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1696,plain,
% 72.03/45.18 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1697,plain,
% 72.03/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 72.03/45.18 inference(monotonicity,[status(thm)],[1696])).
% 72.03/45.18 tff(1698,plain,
% 72.03/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.03/45.18 inference(transitivity,[status(thm)],[1697, 1695])).
% 72.03/45.18 tff(1699,plain,
% 72.03/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1700,plain,
% 72.03/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 72.03/45.18 tff(1701,plain,
% 72.03/45.18 ((~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1700, 769, 1522])).
% 72.03/45.18 tff(1702,plain,
% 72.03/45.18 (~v127(constB7, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1701, 1694])).
% 72.03/45.18 tff(1703,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1704,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1705,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 72.03/45.18 tff(1706,plain,
% 72.03/45.18 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1705, 787, 1537])).
% 72.03/45.18 tff(1707,plain,
% 72.03/45.18 (~v129(constB8, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1706, 1702])).
% 72.03/45.18 tff(1708,plain,
% 72.03/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1709,plain,
% 72.03/45.18 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1710,plain,
% 72.03/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 72.03/45.18 inference(monotonicity,[status(thm)],[1709])).
% 72.03/45.18 tff(1711,plain,
% 72.03/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.03/45.18 inference(transitivity,[status(thm)],[1710, 1708])).
% 72.03/45.18 tff(1712,plain,
% 72.03/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1713,plain,
% 72.03/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 72.03/45.18 tff(1714,plain,
% 72.03/45.18 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1713, 802, 1707])).
% 72.03/45.18 tff(1715,plain,
% 72.03/45.18 (~v90(constB8, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1714, 1577])).
% 72.03/45.18 tff(1716,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1717,plain,
% 72.03/45.18 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1718,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 72.03/45.18 inference(monotonicity,[status(thm)],[1717])).
% 72.03/45.18 tff(1719,plain,
% 72.03/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.03/45.18 inference(transitivity,[status(thm)],[1718, 1716])).
% 72.03/45.18 tff(1720,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1721,plain,
% 72.03/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 72.03/45.18 tff(1722,plain,
% 72.03/45.18 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1721, 362, 1618])).
% 72.03/45.18 tff(1723,plain,
% 72.03/45.18 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1722, 1630])).
% 72.03/45.18 tff(1724,plain,
% 72.03/45.18 (~v90(constB9, bitIndex0)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1723, 1715])).
% 72.03/45.18 tff(1725,plain,
% 72.03/45.18 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1726,plain,
% 72.03/45.18 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1725])).
% 72.03/45.18 tff(1727,plain,
% 72.03/45.18 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1728,plain,
% 72.03/45.18 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1729,plain,
% 72.03/45.18 (![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1728])).
% 72.03/45.18 tff(1730,axiom,(![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 72.03/45.18 tff(1731,plain,
% 72.03/45.18 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 72.03/45.18 tff(1732,plain,
% 72.03/45.18 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1731, 1727])).
% 72.03/45.18 tff(1733,plain,(
% 72.03/45.18 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(skolemize,[status(sab)],[1732])).
% 72.03/45.18 tff(1734,plain,
% 72.03/45.18 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1733, 1726])).
% 72.03/45.18 tff(1735,plain,
% 72.03/45.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1736,plain,
% 72.03/45.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 72.03/45.18 inference(quant_inst,[status(thm)],[])).
% 72.03/45.18 tff(1737,plain,
% 72.03/45.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9)),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 72.03/45.18 tff(1738,plain,
% 72.03/45.18 (v121(constB9)),
% 72.03/45.18 inference(unit_resolution,[status(thm)],[1737, 1734, 1724, 1680, 1639])).
% 72.03/45.18 tff(1739,plain,
% 72.03/45.18 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1740,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1739])).
% 72.03/45.18 tff(1741,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(rewrite,[status(thm)],[])).
% 72.03/45.18 tff(1742,plain,
% 72.03/45.18 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.03/45.18 inference(bind,[status(th)],[])).
% 72.03/45.18 tff(1743,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(quant_intro,[status(thm)],[1742])).
% 72.03/45.18 tff(1744,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 72.03/45.18 tff(1745,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 72.03/45.18 tff(1746,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1745, 1741])).
% 72.03/45.18 tff(1747,plain,(
% 72.03/45.18 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(skolemize,[status(sab)],[1746])).
% 72.03/45.18 tff(1748,plain,
% 72.03/45.18 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.03/45.18 inference(modus_ponens,[status(thm)],[1747, 1740])).
% 72.03/45.18 tff(1749,plain,
% 72.03/45.18 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1750,plain,
% 72.03/45.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1751,plain,
% 72.03/45.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 72.03/45.19 tff(1752,plain,
% 72.03/45.19 (~v130(constB9, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1751, 1748, 1738])).
% 72.03/45.19 tff(1753,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1754,plain,
% 72.03/45.19 ((v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2))) <=> ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1755,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1754])).
% 72.03/45.19 tff(1756,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1755, 1753])).
% 72.03/45.19 tff(1757,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1758,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 72.03/45.19 tff(1759,plain,
% 72.03/45.19 ((~v127(constB9, bitIndex2)) | v26(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1758, 1271, 1752])).
% 72.03/45.19 tff(1760,plain,
% 72.03/45.19 (~v127(constB9, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1759, 264])).
% 72.03/45.19 tff(1761,plain,
% 72.03/45.19 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1762,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 72.03/45.19 tff(1763,plain,
% 72.03/45.19 (nextState(constB9, constB10)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 72.03/45.19 tff(1764,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1765,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1766,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 72.03/45.19 tff(1767,plain,
% 72.03/45.19 (v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1766, 1289, 1763])).
% 72.03/45.19 tff(1768,plain,
% 72.03/45.19 (~v129(constB10, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1767, 1760])).
% 72.03/45.19 tff(1769,plain,
% 72.03/45.19 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 72.03/45.19 inference(bind,[status(th)],[])).
% 72.03/45.19 tff(1770,plain,
% 72.03/45.19 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.03/45.19 inference(quant_intro,[status(thm)],[1769])).
% 72.03/45.19 tff(1771,plain,
% 72.03/45.19 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1772,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 72.03/45.19 tff(1773,plain,
% 72.03/45.19 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 72.03/45.19 tff(1774,plain,(
% 72.03/45.19 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.03/45.19 inference(skolemize,[status(sab)],[1773])).
% 72.03/45.19 tff(1775,plain,
% 72.03/45.19 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1774, 1770])).
% 72.03/45.19 tff(1776,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1777,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1778,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 72.03/45.19 tff(1779,plain,
% 72.03/45.19 (v117(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1778, 1775, 1738])).
% 72.03/45.19 tff(1780,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1781,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1782,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 72.03/45.19 tff(1783,plain,
% 72.03/45.19 (v116(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1782, 416, 1779])).
% 72.03/45.19 tff(1784,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1785,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1786,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 72.03/45.19 tff(1787,plain,
% 72.03/45.19 (v115(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1786, 427, 1783])).
% 72.03/45.19 tff(1788,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1789,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1790,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 72.03/45.19 tff(1791,plain,
% 72.03/45.19 (v114(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1790, 438, 1787])).
% 72.03/45.19 tff(1792,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1793,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1794,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 72.03/45.19 tff(1795,plain,
% 72.03/45.19 (v113(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1794, 449, 1791])).
% 72.03/45.19 tff(1796,assumption,(~v108(constB9)), introduced(assumption)).
% 72.03/45.19 tff(1797,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1798,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1799,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 72.03/45.19 tff(1800,plain,
% 72.03/45.19 (~v112(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1799, 475, 1796])).
% 72.03/45.19 tff(1801,plain,
% 72.03/45.19 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 72.03/45.19 inference(bind,[status(th)],[])).
% 72.03/45.19 tff(1802,plain,
% 72.03/45.19 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.03/45.19 inference(quant_intro,[status(thm)],[1801])).
% 72.03/45.19 tff(1803,plain,
% 72.03/45.19 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1804,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 72.03/45.19 tff(1805,plain,
% 72.03/45.19 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1804, 1803])).
% 72.03/45.19 tff(1806,plain,(
% 72.03/45.19 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.03/45.19 inference(skolemize,[status(sab)],[1805])).
% 72.03/45.19 tff(1807,plain,
% 72.03/45.19 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1806, 1802])).
% 72.03/45.19 tff(1808,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB9) | (~v26(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB9) | (~v26(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1809,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB9) | (~v26(constB9)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1810,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB9) | (~v26(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 72.03/45.19 tff(1811,plain,
% 72.03/45.19 (~v26(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1810, 1807, 1796])).
% 72.03/45.19 tff(1812,assumption,(v113(constB9)), introduced(assumption)).
% 72.03/45.19 tff(1813,plain,
% 72.03/45.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1814,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1815,plain,
% 72.03/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 72.03/45.19 tff(1816,plain,
% 72.03/45.19 (v26(constB9) | v112(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1815, 463, 1812])).
% 72.03/45.19 tff(1817,plain,
% 72.03/45.19 ($false),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1816, 1811, 1800])).
% 72.03/45.19 tff(1818,plain,(v108(constB9) | (~v113(constB9))), inference(lemma,lemma(discharge,[]))).
% 72.03/45.19 tff(1819,plain,
% 72.03/45.19 (v108(constB9)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1818, 1795])).
% 72.03/45.19 tff(1820,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1821,plain,
% 72.03/45.19 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1822,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1821])).
% 72.03/45.19 tff(1823,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1822, 1820])).
% 72.03/45.19 tff(1824,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1825,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 72.03/45.19 tff(1826,plain,
% 72.03/45.19 (v110(constB10) | (~v108(constB9))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1825, 492, 1763])).
% 72.03/45.19 tff(1827,plain,
% 72.03/45.19 (v110(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1826, 1819])).
% 72.03/45.19 tff(1828,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1829,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1830,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 72.03/45.19 tff(1831,plain,
% 72.03/45.19 (~v104(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1830, 510, 1763, 1615])).
% 72.03/45.19 tff(1832,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1833,plain,
% 72.03/45.19 (((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1834,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1833])).
% 72.03/45.19 tff(1835,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1834, 1832])).
% 72.03/45.19 tff(1836,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1837,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 72.03/45.19 tff(1838,plain,
% 72.03/45.19 (v104(constB10) | v102(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1837, 524, 1763])).
% 72.03/45.19 tff(1839,plain,
% 72.03/45.19 (v102(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1838, 1831])).
% 72.03/45.19 tff(1840,plain,
% 72.03/45.19 (v1(constB10) <=> v1(constB10)),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1841,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 72.03/45.19 tff(1842,plain,
% 72.03/45.19 (v1(constB10)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 72.03/45.19 tff(1843,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1844,plain,
% 72.03/45.19 (((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))) <=> ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1845,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1844])).
% 72.03/45.19 tff(1846,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1845, 1843])).
% 72.03/45.19 tff(1847,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1848,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 72.03/45.19 tff(1849,plain,
% 72.03/45.19 (v101(constB10) | (~v102(constB10))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1848, 545, 1763, 1842])).
% 72.03/45.19 tff(1850,plain,
% 72.03/45.19 (v101(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1849, 1839])).
% 72.03/45.19 tff(1851,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1852,plain,
% 72.03/45.19 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1853,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1852])).
% 72.03/45.19 tff(1854,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1853, 1851])).
% 72.03/45.19 tff(1855,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1856,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 72.03/45.19 tff(1857,plain,
% 72.03/45.19 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1856, 563, 1763])).
% 72.03/45.19 tff(1858,plain,
% 72.03/45.19 (v100(constB10) | (~v110(constB10))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1857, 1850])).
% 72.03/45.19 tff(1859,plain,
% 72.03/45.19 (v100(constB10)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1858, 1827])).
% 72.03/45.19 tff(1860,plain,
% 72.03/45.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1861,plain,
% 72.03/45.19 (((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1862,plain,
% 72.03/45.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1861])).
% 72.03/45.19 tff(1863,plain,
% 72.03/45.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1862, 1860])).
% 72.03/45.19 tff(1864,plain,
% 72.03/45.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1865,plain,
% 72.03/45.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 72.03/45.19 tff(1866,plain,
% 72.03/45.19 ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1865, 1304, 1859])).
% 72.03/45.19 tff(1867,plain,
% 72.03/45.19 (~v90(constB10, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1866, 1768])).
% 72.03/45.19 tff(1868,plain,
% 72.03/45.19 ((~v1(constB11)) <=> (~v1(constB11))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1869,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 72.03/45.19 tff(1870,plain,
% 72.03/45.19 (~v1(constB11)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 72.03/45.19 tff(1871,plain,
% 72.03/45.19 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1872,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 72.03/45.19 tff(1873,plain,
% 72.03/45.19 (nextState(constB10, constB11)),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 72.03/45.19 tff(1874,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1875,plain,
% 72.03/45.19 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1876,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1875])).
% 72.03/45.19 tff(1877,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1876, 1874])).
% 72.03/45.19 tff(1878,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1879,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 72.03/45.19 tff(1880,plain,
% 72.03/45.19 (~v101(constB11)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1879, 288, 1873, 1870])).
% 72.03/45.19 tff(1881,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1882,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1883,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 72.03/45.19 tff(1884,plain,
% 72.03/45.19 (v101(constB11) | (~v100(constB11))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1883, 305, 1873])).
% 72.03/45.19 tff(1885,plain,
% 72.03/45.19 (~v100(constB11)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1884, 1880])).
% 72.03/45.19 tff(1886,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1887,plain,
% 72.03/45.19 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.03/45.19 inference(rewrite,[status(thm)],[])).
% 72.03/45.19 tff(1888,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))))),
% 72.03/45.19 inference(monotonicity,[status(thm)],[1887])).
% 72.03/45.19 tff(1889,plain,
% 72.03/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.03/45.19 inference(transitivity,[status(thm)],[1888, 1886])).
% 72.03/45.19 tff(1890,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.03/45.19 inference(quant_inst,[status(thm)],[])).
% 72.03/45.19 tff(1891,plain,
% 72.03/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 72.03/45.19 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 72.03/45.19 tff(1892,plain,
% 72.03/45.19 (v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1891, 320, 1873])).
% 72.03/45.19 tff(1893,plain,
% 72.03/45.19 (v90(constB10, bitIndex2) | (~v90(constB11, bitIndex2))),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1892, 1885])).
% 72.03/45.19 tff(1894,plain,
% 72.03/45.19 (~v90(constB11, bitIndex2)),
% 72.03/45.19 inference(unit_resolution,[status(thm)],[1893, 1867])).
% 72.03/45.19 tff(1895,plain,
% 72.03/45.19 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.03/45.20 inference(bind,[status(th)],[])).
% 72.03/45.20 tff(1896,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(quant_intro,[status(thm)],[1895])).
% 72.03/45.20 tff(1897,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1898,plain,
% 72.03/45.20 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.03/45.20 inference(bind,[status(th)],[])).
% 72.03/45.20 tff(1899,plain,
% 72.03/45.20 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(quant_intro,[status(thm)],[1898])).
% 72.03/45.20 tff(1900,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 72.03/45.20 tff(1901,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1900, 1899])).
% 72.03/45.20 tff(1902,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1901, 1897])).
% 72.03/45.20 tff(1903,plain,(
% 72.03/45.20 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(skolemize,[status(sab)],[1902])).
% 72.03/45.20 tff(1904,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1903, 1896])).
% 72.03/45.20 tff(1905,plain,
% 72.03/45.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1906,plain,
% 72.03/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))),
% 72.03/45.20 inference(quant_inst,[status(thm)],[])).
% 72.03/45.20 tff(1907,plain,
% 72.03/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1)),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 72.03/45.20 tff(1908,plain,
% 72.03/45.20 (v130(constB9, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1907, 1904, 1738])).
% 72.03/45.20 tff(1909,plain,
% 72.03/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1910,plain,
% 72.03/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 72.03/45.20 inference(quant_inst,[status(thm)],[])).
% 72.03/45.20 tff(1911,plain,
% 72.03/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 72.03/45.20 tff(1912,plain,
% 72.03/45.20 (v26(constB9) | v127(constB9, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1911, 990, 1908])).
% 72.03/45.20 tff(1913,plain,
% 72.03/45.20 (v127(constB9, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1912, 264])).
% 72.03/45.20 tff(1914,plain,
% 72.03/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1915,plain,
% 72.03/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 72.03/45.20 inference(quant_inst,[status(thm)],[])).
% 72.03/45.20 tff(1916,plain,
% 72.03/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 72.03/45.20 tff(1917,plain,
% 72.03/45.20 ((~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1916, 1005, 1763])).
% 72.03/45.20 tff(1918,plain,
% 72.03/45.20 (v129(constB10, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1917, 1913])).
% 72.03/45.20 tff(1919,plain,
% 72.03/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1920,plain,
% 72.03/45.20 ((v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1921,plain,
% 72.03/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))))),
% 72.03/45.20 inference(monotonicity,[status(thm)],[1920])).
% 72.03/45.20 tff(1922,plain,
% 72.03/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 72.03/45.20 inference(transitivity,[status(thm)],[1921, 1919])).
% 72.03/45.20 tff(1923,plain,
% 72.03/45.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))),
% 72.03/45.20 inference(quant_inst,[status(thm)],[])).
% 72.03/45.20 tff(1924,plain,
% 72.03/45.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 72.03/45.20 tff(1925,plain,
% 72.03/45.20 (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1))),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1924, 1020, 1859])).
% 72.03/45.20 tff(1926,plain,
% 72.03/45.20 (v90(constB10, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1925, 1918])).
% 72.03/45.20 tff(1927,plain,
% 72.03/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1928,plain,
% 72.03/45.20 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1929,plain,
% 72.03/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)))),
% 72.03/45.20 inference(monotonicity,[status(thm)],[1928])).
% 72.03/45.20 tff(1930,plain,
% 72.03/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 72.03/45.20 inference(transitivity,[status(thm)],[1929, 1927])).
% 72.03/45.20 tff(1931,plain,
% 72.03/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))),
% 72.03/45.20 inference(quant_inst,[status(thm)],[])).
% 72.03/45.20 tff(1932,plain,
% 72.03/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 72.03/45.20 tff(1933,plain,
% 72.03/45.20 ((~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1932, 1038, 1873])).
% 72.03/45.20 tff(1934,plain,
% 72.03/45.20 ((~v90(constB10, bitIndex1)) | v90(constB11, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1933, 1885])).
% 72.03/45.20 tff(1935,plain,
% 72.03/45.20 (v90(constB11, bitIndex1)),
% 72.03/45.20 inference(unit_resolution,[status(thm)],[1934, 1926])).
% 72.03/45.20 tff(1936,plain,
% 72.03/45.20 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.03/45.20 inference(bind,[status(th)],[])).
% 72.03/45.20 tff(1937,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(quant_intro,[status(thm)],[1936])).
% 72.03/45.20 tff(1938,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1939,plain,
% 72.03/45.20 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.03/45.20 inference(bind,[status(th)],[])).
% 72.03/45.20 tff(1940,plain,
% 72.03/45.20 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(quant_intro,[status(thm)],[1939])).
% 72.03/45.20 tff(1941,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 72.03/45.20 tff(1942,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 72.03/45.20 tff(1943,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1942, 1938])).
% 72.03/45.20 tff(1944,plain,(
% 72.03/45.20 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(skolemize,[status(sab)],[1943])).
% 72.03/45.20 tff(1945,plain,
% 72.03/45.20 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.03/45.20 inference(modus_ponens,[status(thm)],[1944, 1937])).
% 72.03/45.20 tff(1946,plain,
% 72.03/45.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0))),
% 72.03/45.20 inference(rewrite,[status(thm)],[])).
% 72.03/45.20 tff(1947,plain,
% 72.03/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1948,plain,
% 72.05/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 72.05/45.20 tff(1949,plain,
% 72.05/45.20 (v130(constB9, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1948, 1945, 1738])).
% 72.05/45.20 tff(1950,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1951,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1952,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 72.05/45.20 tff(1953,plain,
% 72.05/45.20 (v26(constB9) | v127(constB9, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1952, 1413, 1949])).
% 72.05/45.20 tff(1954,plain,
% 72.05/45.20 (v127(constB9, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1953, 264])).
% 72.05/45.20 tff(1955,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1956,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1957,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 72.05/45.20 tff(1958,plain,
% 72.05/45.20 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1957, 1428, 1763])).
% 72.05/45.20 tff(1959,plain,
% 72.05/45.20 (v129(constB10, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1958, 1954])).
% 72.05/45.20 tff(1960,plain,
% 72.05/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1961,plain,
% 72.05/45.20 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1962,plain,
% 72.05/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 72.05/45.20 inference(monotonicity,[status(thm)],[1961])).
% 72.05/45.20 tff(1963,plain,
% 72.05/45.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.05/45.20 inference(transitivity,[status(thm)],[1962, 1960])).
% 72.05/45.20 tff(1964,plain,
% 72.05/45.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1965,plain,
% 72.05/45.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 72.05/45.20 tff(1966,plain,
% 72.05/45.20 (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1965, 1443, 1859])).
% 72.05/45.20 tff(1967,plain,
% 72.05/45.20 (v90(constB10, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1966, 1959])).
% 72.05/45.20 tff(1968,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1969,plain,
% 72.05/45.20 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1970,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 72.05/45.20 inference(monotonicity,[status(thm)],[1969])).
% 72.05/45.20 tff(1971,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.05/45.20 inference(transitivity,[status(thm)],[1970, 1968])).
% 72.05/45.20 tff(1972,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1973,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 72.05/45.20 tff(1974,plain,
% 72.05/45.20 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1973, 1461, 1873])).
% 72.05/45.20 tff(1975,plain,
% 72.05/45.20 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1974, 1885])).
% 72.05/45.20 tff(1976,plain,
% 72.05/45.20 (v90(constB11, bitIndex0)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1975, 1967])).
% 72.05/45.20 tff(1977,plain,
% 72.05/45.20 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 72.05/45.20 inference(bind,[status(th)],[])).
% 72.05/45.20 tff(1978,plain,
% 72.05/45.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(quant_intro,[status(thm)],[1977])).
% 72.05/45.20 tff(1979,plain,
% 72.05/45.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1980,plain,
% 72.05/45.20 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 72.05/45.20 inference(bind,[status(th)],[])).
% 72.05/45.20 tff(1981,plain,
% 72.05/45.20 (![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(quant_intro,[status(thm)],[1980])).
% 72.05/45.20 tff(1982,axiom,(![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 72.05/45.20 tff(1983,plain,
% 72.05/45.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 72.05/45.20 tff(1984,plain,
% 72.05/45.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1983, 1979])).
% 72.05/45.20 tff(1985,plain,(
% 72.05/45.20 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(skolemize,[status(sab)],[1984])).
% 72.05/45.20 tff(1986,plain,
% 72.05/45.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1985, 1978])).
% 72.05/45.20 tff(1987,plain,
% 72.05/45.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1988,plain,
% 72.05/45.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(1989,plain,
% 72.05/45.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 72.05/45.20 tff(1990,plain,
% 72.05/45.20 (v122(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[1989, 1986, 1976, 1935, 1894])).
% 72.05/45.20 tff(1991,plain,
% 72.05/45.20 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 72.05/45.20 inference(bind,[status(th)],[])).
% 72.05/45.20 tff(1992,plain,
% 72.05/45.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.05/45.20 inference(quant_intro,[status(thm)],[1991])).
% 72.05/45.20 tff(1993,plain,
% 72.05/45.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1994,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 72.05/45.20 tff(1995,plain,
% 72.05/45.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 72.05/45.20 tff(1996,plain,(
% 72.05/45.20 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.05/45.20 inference(skolemize,[status(sab)],[1995])).
% 72.05/45.20 tff(1997,plain,
% 72.05/45.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1996, 1992])).
% 72.05/45.20 tff(1998,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB11) | (~v122(constB11)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB11) | (~v122(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(1999,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB11) | (~v122(constB11)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2000,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB11) | (~v122(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 72.05/45.20 tff(2001,plain,
% 72.05/45.20 (v116(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2000, 1997, 1990])).
% 72.05/45.20 tff(2002,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB11) | (~v116(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2003,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB11) | (~v116(constB11)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2004,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB11) | (~v116(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 72.05/45.20 tff(2005,plain,
% 72.05/45.20 (v115(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2004, 427, 2001])).
% 72.05/45.20 tff(2006,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB11) | (~v115(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB11) | (~v115(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2007,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB11) | (~v115(constB11)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2008,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB11) | (~v115(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 72.05/45.20 tff(2009,plain,
% 72.05/45.20 (v114(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2008, 438, 2005])).
% 72.05/45.20 tff(2010,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2011,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2012,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 72.05/45.20 tff(2013,plain,
% 72.05/45.20 (v113(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2012, 449, 2009])).
% 72.05/45.20 tff(2014,assumption,(v26(constB11)), introduced(assumption)).
% 72.05/45.20 tff(2015,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2016,plain,
% 72.05/45.20 ($false),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2015, 26, 2014])).
% 72.05/45.20 tff(2017,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 72.05/45.20 tff(2018,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2019,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2020,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 72.05/45.20 tff(2021,plain,
% 72.05/45.20 ((~v113(constB11)) | v112(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2020, 463, 2017])).
% 72.05/45.20 tff(2022,plain,
% 72.05/45.20 (v112(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2021, 2013])).
% 72.05/45.20 tff(2023,plain,
% 72.05/45.20 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2024,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2025,plain,
% 72.05/45.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 72.05/45.20 tff(2026,plain,
% 72.05/45.20 (v108(constB11)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2025, 475, 2022])).
% 72.05/45.20 tff(2027,plain,
% 72.05/45.20 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2028,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 72.05/45.20 tff(2029,plain,
% 72.05/45.20 (nextState(constB11, constB12)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 72.05/45.20 tff(2030,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2031,plain,
% 72.05/45.20 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2032,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 72.05/45.20 inference(monotonicity,[status(thm)],[2031])).
% 72.05/45.20 tff(2033,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.05/45.20 inference(transitivity,[status(thm)],[2032, 2030])).
% 72.05/45.20 tff(2034,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2035,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2034, 2033])).
% 72.05/45.20 tff(2036,plain,
% 72.05/45.20 (v110(constB12) | (~v108(constB11))),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2035, 492, 2029])).
% 72.05/45.20 tff(2037,plain,
% 72.05/45.20 (v110(constB12)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2036, 2026])).
% 72.05/45.20 tff(2038,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2039,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2040,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 72.05/45.20 tff(2041,plain,
% 72.05/45.20 (~v104(constB12)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2040, 510, 2029, 1870])).
% 72.05/45.20 tff(2042,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2043,plain,
% 72.05/45.20 (((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2044,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)))),
% 72.05/45.20 inference(monotonicity,[status(thm)],[2043])).
% 72.05/45.20 tff(2045,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 72.05/45.20 inference(transitivity,[status(thm)],[2044, 2042])).
% 72.05/45.20 tff(2046,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 72.05/45.20 inference(quant_inst,[status(thm)],[])).
% 72.05/45.20 tff(2047,plain,
% 72.05/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2046, 2045])).
% 72.05/45.20 tff(2048,plain,
% 72.05/45.20 (v104(constB12) | v102(constB12)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2047, 524, 2029])).
% 72.05/45.20 tff(2049,plain,
% 72.05/45.20 (v102(constB12)),
% 72.05/45.20 inference(unit_resolution,[status(thm)],[2048, 2041])).
% 72.05/45.20 tff(2050,plain,
% 72.05/45.20 (v1(constB12) <=> v1(constB12)),
% 72.05/45.20 inference(rewrite,[status(thm)],[])).
% 72.05/45.20 tff(2051,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 72.05/45.20 tff(2052,plain,
% 72.05/45.20 (v1(constB12)),
% 72.05/45.20 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 72.05/45.20 tff(2053,plain,
% 72.05/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2054,plain,
% 72.05/45.21 (((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))) <=> ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2055,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2054])).
% 72.05/45.21 tff(2056,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2055, 2053])).
% 72.05/45.21 tff(2057,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2058,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 72.05/45.21 tff(2059,plain,
% 72.05/45.21 (v101(constB12) | (~v102(constB12))),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2058, 545, 2029, 2052])).
% 72.05/45.21 tff(2060,plain,
% 72.05/45.21 (v101(constB12)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2059, 2049])).
% 72.05/45.21 tff(2061,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2062,plain,
% 72.05/45.21 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2063,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2062])).
% 72.05/45.21 tff(2064,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2063, 2061])).
% 72.05/45.21 tff(2065,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2066,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 72.05/45.21 tff(2067,plain,
% 72.05/45.21 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2066, 563, 2029])).
% 72.05/45.21 tff(2068,plain,
% 72.05/45.21 (v100(constB12) | (~v110(constB12))),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2067, 2060])).
% 72.05/45.21 tff(2069,plain,
% 72.05/45.21 (v100(constB12)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2068, 2037])).
% 72.05/45.21 tff(2070,plain,
% 72.05/45.21 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.05/45.21 inference(bind,[status(th)],[])).
% 72.05/45.21 tff(2071,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(quant_intro,[status(thm)],[2070])).
% 72.05/45.21 tff(2072,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2073,plain,
% 72.05/45.21 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.05/45.21 inference(bind,[status(th)],[])).
% 72.05/45.21 tff(2074,plain,
% 72.05/45.21 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(quant_intro,[status(thm)],[2073])).
% 72.05/45.21 tff(2075,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 72.05/45.21 tff(2076,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 72.05/45.21 tff(2077,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2076, 2072])).
% 72.05/45.21 tff(2078,plain,(
% 72.05/45.21 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(skolemize,[status(sab)],[2077])).
% 72.05/45.21 tff(2079,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2078, 2071])).
% 72.05/45.21 tff(2080,plain,
% 72.05/45.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2081,plain,
% 72.05/45.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2082,plain,
% 72.05/45.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 72.05/45.21 tff(2083,plain,
% 72.05/45.21 (v130(constB11, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2082, 2079, 1990])).
% 72.05/45.21 tff(2084,plain,
% 72.05/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2085,plain,
% 72.05/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2086,plain,
% 72.05/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 72.05/45.21 tff(2087,plain,
% 72.05/45.21 ((~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2086, 596, 2017])).
% 72.05/45.21 tff(2088,plain,
% 72.05/45.21 (v127(constB11, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2087, 2083])).
% 72.05/45.21 tff(2089,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2090,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2091,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 72.05/45.21 tff(2092,plain,
% 72.05/45.21 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2091, 611, 2029])).
% 72.05/45.21 tff(2093,plain,
% 72.05/45.21 (v129(constB12, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2092, 2088])).
% 72.05/45.21 tff(2094,plain,
% 72.05/45.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2095,plain,
% 72.05/45.21 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2096,plain,
% 72.05/45.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2095])).
% 72.05/45.21 tff(2097,plain,
% 72.05/45.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2096, 2094])).
% 72.05/45.21 tff(2098,plain,
% 72.05/45.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2099,plain,
% 72.05/45.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 72.05/45.21 tff(2100,plain,
% 72.05/45.21 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2099, 626, 2093])).
% 72.05/45.21 tff(2101,plain,
% 72.05/45.21 (v90(constB12, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2100, 2069])).
% 72.05/45.21 tff(2102,plain,
% 72.05/45.21 ((~v1(constB13)) <=> (~v1(constB13))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2103,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 72.05/45.21 tff(2104,plain,
% 72.05/45.21 (~v1(constB13)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 72.05/45.21 tff(2105,plain,
% 72.05/45.21 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2106,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 72.05/45.21 tff(2107,plain,
% 72.05/45.21 (nextState(constB12, constB13)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2106, 2105])).
% 72.05/45.21 tff(2108,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2109,plain,
% 72.05/45.21 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2110,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2109])).
% 72.05/45.21 tff(2111,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2110, 2108])).
% 72.05/45.21 tff(2112,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2113,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 72.05/45.21 tff(2114,plain,
% 72.05/45.21 (~v101(constB13)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2113, 288, 2107, 2104])).
% 72.05/45.21 tff(2115,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2116,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2117,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 72.05/45.21 tff(2118,plain,
% 72.05/45.21 (v101(constB13) | (~v100(constB13))),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2117, 305, 2107])).
% 72.05/45.21 tff(2119,plain,
% 72.05/45.21 (~v100(constB13)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2118, 2114])).
% 72.05/45.21 tff(2120,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2121,plain,
% 72.05/45.21 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2122,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2121])).
% 72.05/45.21 tff(2123,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2122, 2120])).
% 72.05/45.21 tff(2124,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2125,plain,
% 72.05/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 72.05/45.21 tff(2126,plain,
% 72.05/45.21 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2125, 662, 2107])).
% 72.05/45.21 tff(2127,plain,
% 72.05/45.21 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2126, 2119])).
% 72.05/45.21 tff(2128,plain,
% 72.05/45.21 (v90(constB13, bitIndex2)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2127, 2101])).
% 72.05/45.21 tff(2129,plain,
% 72.05/45.21 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.05/45.21 inference(bind,[status(th)],[])).
% 72.05/45.21 tff(2130,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(quant_intro,[status(thm)],[2129])).
% 72.05/45.21 tff(2131,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2132,plain,
% 72.05/45.21 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.05/45.21 inference(bind,[status(th)],[])).
% 72.05/45.21 tff(2133,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(quant_intro,[status(thm)],[2132])).
% 72.05/45.21 tff(2134,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 72.05/45.21 tff(2135,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 72.05/45.21 tff(2136,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2135, 2131])).
% 72.05/45.21 tff(2137,plain,(
% 72.05/45.21 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(skolemize,[status(sab)],[2136])).
% 72.05/45.21 tff(2138,plain,
% 72.05/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2137, 2130])).
% 72.05/45.21 tff(2139,plain,
% 72.05/45.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2140,plain,
% 72.05/45.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2141,plain,
% 72.05/45.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1))),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 72.05/45.21 tff(2142,plain,
% 72.05/45.21 (~v130(constB11, bitIndex1)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2141, 2138, 1990])).
% 72.05/45.21 tff(2143,plain,
% 72.05/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2144,plain,
% 72.05/45.21 ((v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1))) <=> ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.05/45.21 inference(rewrite,[status(thm)],[])).
% 72.05/45.21 tff(2145,plain,
% 72.05/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)))),
% 72.05/45.21 inference(monotonicity,[status(thm)],[2144])).
% 72.05/45.21 tff(2146,plain,
% 72.05/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.05/45.21 inference(transitivity,[status(thm)],[2145, 2143])).
% 72.05/45.21 tff(2147,plain,
% 72.05/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))),
% 72.05/45.21 inference(quant_inst,[status(thm)],[])).
% 72.05/45.21 tff(2148,plain,
% 72.05/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)),
% 72.05/45.21 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 72.05/45.21 tff(2149,plain,
% 72.05/45.21 ((~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2148, 695, 2017])).
% 72.05/45.21 tff(2150,plain,
% 72.05/45.21 (~v127(constB11, bitIndex1)),
% 72.05/45.21 inference(unit_resolution,[status(thm)],[2149, 2142])).
% 72.05/45.21 tff(2151,plain,
% 72.05/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2152,plain,
% 72.06/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 72.06/45.21 inference(quant_inst,[status(thm)],[])).
% 72.06/45.21 tff(2153,plain,
% 72.06/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 72.06/45.21 tff(2154,plain,
% 72.06/45.21 (v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2153, 713, 2029])).
% 72.06/45.21 tff(2155,plain,
% 72.06/45.21 (~v129(constB12, bitIndex1)),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2154, 2150])).
% 72.06/45.21 tff(2156,plain,
% 72.06/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2157,plain,
% 72.06/45.21 (((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2158,plain,
% 72.06/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))))),
% 72.06/45.21 inference(monotonicity,[status(thm)],[2157])).
% 72.06/45.21 tff(2159,plain,
% 72.06/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.06/45.21 inference(transitivity,[status(thm)],[2158, 2156])).
% 72.06/45.21 tff(2160,plain,
% 72.06/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))),
% 72.06/45.21 inference(quant_inst,[status(thm)],[])).
% 72.06/45.21 tff(2161,plain,
% 72.06/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 72.06/45.21 tff(2162,plain,
% 72.06/45.21 ((~v90(constB12, bitIndex1)) | (~v100(constB12))),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2161, 728, 2155])).
% 72.06/45.21 tff(2163,plain,
% 72.06/45.21 (~v90(constB12, bitIndex1)),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2162, 2069])).
% 72.06/45.21 tff(2164,plain,
% 72.06/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2165,plain,
% 72.06/45.21 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2166,plain,
% 72.06/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))))),
% 72.06/45.21 inference(monotonicity,[status(thm)],[2165])).
% 72.06/45.21 tff(2167,plain,
% 72.06/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.06/45.21 inference(transitivity,[status(thm)],[2166, 2164])).
% 72.06/45.21 tff(2168,plain,
% 72.06/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.06/45.21 inference(quant_inst,[status(thm)],[])).
% 72.06/45.21 tff(2169,plain,
% 72.06/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 72.06/45.21 tff(2170,plain,
% 72.06/45.21 (v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2169, 341, 2107])).
% 72.06/45.21 tff(2171,plain,
% 72.06/45.21 (v90(constB12, bitIndex1) | (~v90(constB13, bitIndex1))),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2170, 2119])).
% 72.06/45.21 tff(2172,plain,
% 72.06/45.21 (~v90(constB13, bitIndex1)),
% 72.06/45.21 inference(unit_resolution,[status(thm)],[2171, 2163])).
% 72.06/45.21 tff(2173,plain,
% 72.06/45.21 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.06/45.21 inference(bind,[status(th)],[])).
% 72.06/45.21 tff(2174,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(quant_intro,[status(thm)],[2173])).
% 72.06/45.21 tff(2175,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(rewrite,[status(thm)],[])).
% 72.06/45.21 tff(2176,plain,
% 72.06/45.21 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.06/45.21 inference(bind,[status(th)],[])).
% 72.06/45.21 tff(2177,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(quant_intro,[status(thm)],[2176])).
% 72.06/45.21 tff(2178,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 72.06/45.21 tff(2179,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 72.06/45.21 tff(2180,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2179, 2175])).
% 72.06/45.21 tff(2181,plain,(
% 72.06/45.21 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(skolemize,[status(sab)],[2180])).
% 72.06/45.21 tff(2182,plain,
% 72.06/45.21 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.06/45.21 inference(modus_ponens,[status(thm)],[2181, 2174])).
% 72.06/45.21 tff(2183,plain,
% 72.06/45.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2184,plain,
% 72.06/45.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2185,plain,
% 72.06/45.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 72.06/45.22 tff(2186,plain,
% 72.06/45.22 (~v130(constB11, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2185, 2182, 1990])).
% 72.06/45.22 tff(2187,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2188,plain,
% 72.06/45.22 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2189,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2188])).
% 72.06/45.22 tff(2190,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2189, 2187])).
% 72.06/45.22 tff(2191,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2192,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 72.06/45.22 tff(2193,plain,
% 72.06/45.22 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2192, 769, 2017])).
% 72.06/45.22 tff(2194,plain,
% 72.06/45.22 (~v127(constB11, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2193, 2186])).
% 72.06/45.22 tff(2195,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2196,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2197,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 72.06/45.22 tff(2198,plain,
% 72.06/45.22 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2197, 787, 2029])).
% 72.06/45.22 tff(2199,plain,
% 72.06/45.22 (~v129(constB12, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2198, 2194])).
% 72.06/45.22 tff(2200,plain,
% 72.06/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2201,plain,
% 72.06/45.22 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2202,plain,
% 72.06/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2201])).
% 72.06/45.22 tff(2203,plain,
% 72.06/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2202, 2200])).
% 72.06/45.22 tff(2204,plain,
% 72.06/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2205,plain,
% 72.06/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2204, 2203])).
% 72.06/45.22 tff(2206,plain,
% 72.06/45.22 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2205, 802, 2199])).
% 72.06/45.22 tff(2207,plain,
% 72.06/45.22 (~v90(constB12, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2206, 2069])).
% 72.06/45.22 tff(2208,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2209,plain,
% 72.06/45.22 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2210,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2209])).
% 72.06/45.22 tff(2211,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2210, 2208])).
% 72.06/45.22 tff(2212,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2213,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2212, 2211])).
% 72.06/45.22 tff(2214,plain,
% 72.06/45.22 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2213, 362, 2107])).
% 72.06/45.22 tff(2215,plain,
% 72.06/45.22 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2214, 2119])).
% 72.06/45.22 tff(2216,plain,
% 72.06/45.22 (~v90(constB13, bitIndex0)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2215, 2207])).
% 72.06/45.22 tff(2217,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2218,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2219,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 72.06/45.22 tff(2220,plain,
% 72.06/45.22 (v123(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2219, 829, 2216, 2172, 2128])).
% 72.06/45.22 tff(2221,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB13) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB13) | (~v123(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2222,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB13) | (~v123(constB13)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2223,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB13) | (~v123(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2222, 2221])).
% 72.06/45.22 tff(2224,plain,
% 72.06/45.22 (v115(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2223, 840, 2220])).
% 72.06/45.22 tff(2225,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB13) | (~v115(constB13)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB13) | (~v115(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2226,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB13) | (~v115(constB13)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2227,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB13) | (~v115(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 72.06/45.22 tff(2228,plain,
% 72.06/45.22 (v114(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2227, 438, 2224])).
% 72.06/45.22 tff(2229,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB13) | (~v114(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB13) | (~v114(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2230,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB13) | (~v114(constB13)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2231,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB13) | (~v114(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 72.06/45.22 tff(2232,plain,
% 72.06/45.22 (v113(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2231, 449, 2228])).
% 72.06/45.22 tff(2233,assumption,(v26(constB13)), introduced(assumption)).
% 72.06/45.22 tff(2234,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2235,plain,
% 72.06/45.22 ($false),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2234, 26, 2233])).
% 72.06/45.22 tff(2236,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.22 tff(2237,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2238,plain,
% 72.06/45.22 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2239,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2238])).
% 72.06/45.22 tff(2240,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2239, 2237])).
% 72.06/45.22 tff(2241,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2242,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 72.06/45.22 tff(2243,plain,
% 72.06/45.22 (v112(constB13) | (~v113(constB13))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2242, 463, 2236])).
% 72.06/45.22 tff(2244,plain,
% 72.06/45.22 (v112(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2243, 2232])).
% 72.06/45.22 tff(2245,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2246,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2247,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 72.06/45.22 tff(2248,plain,
% 72.06/45.22 (v108(constB13)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2247, 475, 2244])).
% 72.06/45.22 tff(2249,plain,
% 72.06/45.22 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2250,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 72.06/45.22 tff(2251,plain,
% 72.06/45.22 (nextState(constB13, constB14)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 72.06/45.22 tff(2252,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2253,plain,
% 72.06/45.22 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2254,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2253])).
% 72.06/45.22 tff(2255,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2254, 2252])).
% 72.06/45.22 tff(2256,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2257,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 72.06/45.22 tff(2258,plain,
% 72.06/45.22 (v110(constB14) | (~v108(constB13))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2257, 492, 2251])).
% 72.06/45.22 tff(2259,plain,
% 72.06/45.22 (v110(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2258, 2248])).
% 72.06/45.22 tff(2260,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2261,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2262,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 72.06/45.22 tff(2263,plain,
% 72.06/45.22 (~v104(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2262, 510, 2251, 2104])).
% 72.06/45.22 tff(2264,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2265,plain,
% 72.06/45.22 (((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2266,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2265])).
% 72.06/45.22 tff(2267,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2266, 2264])).
% 72.06/45.22 tff(2268,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2269,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 72.06/45.22 tff(2270,plain,
% 72.06/45.22 (v104(constB14) | v102(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2269, 524, 2251])).
% 72.06/45.22 tff(2271,plain,
% 72.06/45.22 (v102(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2270, 2263])).
% 72.06/45.22 tff(2272,plain,
% 72.06/45.22 (v1(constB14) <=> v1(constB14)),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2273,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 72.06/45.22 tff(2274,plain,
% 72.06/45.22 (v1(constB14)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 72.06/45.22 tff(2275,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2276,plain,
% 72.06/45.22 (((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))) <=> ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2277,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2276])).
% 72.06/45.22 tff(2278,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2277, 2275])).
% 72.06/45.22 tff(2279,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2280,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 72.06/45.22 tff(2281,plain,
% 72.06/45.22 (v101(constB14) | (~v102(constB14))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2280, 545, 2251, 2274])).
% 72.06/45.22 tff(2282,plain,
% 72.06/45.22 (v101(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2281, 2271])).
% 72.06/45.22 tff(2283,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2284,plain,
% 72.06/45.22 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2285,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2284])).
% 72.06/45.22 tff(2286,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2285, 2283])).
% 72.06/45.22 tff(2287,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2288,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 72.06/45.22 tff(2289,plain,
% 72.06/45.22 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2288, 563, 2251])).
% 72.06/45.22 tff(2290,plain,
% 72.06/45.22 (v100(constB14) | (~v110(constB14))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2289, 2282])).
% 72.06/45.22 tff(2291,plain,
% 72.06/45.22 (v100(constB14)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2290, 2259])).
% 72.06/45.22 tff(2292,plain,
% 72.06/45.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2293,plain,
% 72.06/45.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2294,plain,
% 72.06/45.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 72.06/45.22 tff(2295,plain,
% 72.06/45.22 (v130(constB13, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2294, 917, 2220])).
% 72.06/45.22 tff(2296,plain,
% 72.06/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2297,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2298,plain,
% 72.06/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 72.06/45.22 tff(2299,plain,
% 72.06/45.22 ((~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2298, 596, 2236])).
% 72.06/45.22 tff(2300,plain,
% 72.06/45.22 (v127(constB13, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2299, 2295])).
% 72.06/45.22 tff(2301,plain,
% 72.06/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2302,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2303,plain,
% 72.06/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 72.06/45.22 tff(2304,plain,
% 72.06/45.22 ((~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2303, 611, 2251])).
% 72.06/45.22 tff(2305,plain,
% 72.06/45.22 (v129(constB14, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2304, 2300])).
% 72.06/45.22 tff(2306,plain,
% 72.06/45.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2307,plain,
% 72.06/45.22 ((v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2308,plain,
% 72.06/45.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))))),
% 72.06/45.22 inference(monotonicity,[status(thm)],[2307])).
% 72.06/45.22 tff(2309,plain,
% 72.06/45.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 72.06/45.22 inference(transitivity,[status(thm)],[2308, 2306])).
% 72.06/45.22 tff(2310,plain,
% 72.06/45.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))),
% 72.06/45.22 inference(quant_inst,[status(thm)],[])).
% 72.06/45.22 tff(2311,plain,
% 72.06/45.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 72.06/45.22 tff(2312,plain,
% 72.06/45.22 (v90(constB14, bitIndex2) | (~v100(constB14))),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2311, 626, 2305])).
% 72.06/45.22 tff(2313,plain,
% 72.06/45.22 (v90(constB14, bitIndex2)),
% 72.06/45.22 inference(unit_resolution,[status(thm)],[2312, 2291])).
% 72.06/45.22 tff(2314,plain,
% 72.06/45.22 ((~v1(constB15)) <=> (~v1(constB15))),
% 72.06/45.22 inference(rewrite,[status(thm)],[])).
% 72.06/45.22 tff(2315,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 72.06/45.22 tff(2316,plain,
% 72.06/45.22 (~v1(constB15)),
% 72.06/45.22 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 72.06/45.23 tff(2317,plain,
% 72.06/45.23 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2318,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 72.06/45.23 tff(2319,plain,
% 72.06/45.23 (nextState(constB14, constB15)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 72.06/45.23 tff(2320,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2321,plain,
% 72.06/45.23 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2322,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2321])).
% 72.06/45.23 tff(2323,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2322, 2320])).
% 72.06/45.23 tff(2324,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2325,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 72.06/45.23 tff(2326,plain,
% 72.06/45.23 (~v101(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2325, 288, 2319, 2316])).
% 72.06/45.23 tff(2327,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2328,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2329,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 72.06/45.23 tff(2330,plain,
% 72.06/45.23 (v101(constB15) | (~v100(constB15))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2329, 305, 2319])).
% 72.06/45.23 tff(2331,plain,
% 72.06/45.23 (~v100(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2330, 2326])).
% 72.06/45.23 tff(2332,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2333,plain,
% 72.06/45.23 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2334,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2333])).
% 72.06/45.23 tff(2335,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2334, 2332])).
% 72.06/45.23 tff(2336,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2337,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 72.06/45.23 tff(2338,plain,
% 72.06/45.23 ((~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2337, 662, 2319])).
% 72.06/45.23 tff(2339,plain,
% 72.06/45.23 ((~v90(constB14, bitIndex2)) | v90(constB15, bitIndex2)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2338, 2331])).
% 72.06/45.23 tff(2340,plain,
% 72.06/45.23 (v90(constB15, bitIndex2)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2339, 2313])).
% 72.06/45.23 tff(2341,plain,
% 72.06/45.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2342,plain,
% 72.06/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2343,plain,
% 72.06/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 72.06/45.23 tff(2344,plain,
% 72.06/45.23 (v130(constB13, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2343, 976, 2220])).
% 72.06/45.23 tff(2345,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2346,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2347,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 72.06/45.23 tff(2348,plain,
% 72.06/45.23 ((~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2347, 990, 2236])).
% 72.06/45.23 tff(2349,plain,
% 72.06/45.23 (v127(constB13, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2348, 2344])).
% 72.06/45.23 tff(2350,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2351,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2352,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2351, 2350])).
% 72.06/45.23 tff(2353,plain,
% 72.06/45.23 ((~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2352, 1005, 2251])).
% 72.06/45.23 tff(2354,plain,
% 72.06/45.23 (v129(constB14, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2353, 2349])).
% 72.06/45.23 tff(2355,plain,
% 72.06/45.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2356,plain,
% 72.06/45.23 ((v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2357,plain,
% 72.06/45.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2356])).
% 72.06/45.23 tff(2358,plain,
% 72.06/45.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2357, 2355])).
% 72.06/45.23 tff(2359,plain,
% 72.06/45.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2360,plain,
% 72.06/45.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2359, 2358])).
% 72.06/45.23 tff(2361,plain,
% 72.06/45.23 (v90(constB14, bitIndex1) | (~v100(constB14))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2360, 1020, 2354])).
% 72.06/45.23 tff(2362,plain,
% 72.06/45.23 (v90(constB14, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2361, 2291])).
% 72.06/45.23 tff(2363,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2364,plain,
% 72.06/45.23 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2365,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2364])).
% 72.06/45.23 tff(2366,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2365, 2363])).
% 72.06/45.23 tff(2367,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2368,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 72.06/45.23 tff(2369,plain,
% 72.06/45.23 ((~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2368, 1038, 2319])).
% 72.06/45.23 tff(2370,plain,
% 72.06/45.23 ((~v90(constB14, bitIndex1)) | v90(constB15, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2369, 2331])).
% 72.06/45.23 tff(2371,plain,
% 72.06/45.23 (v90(constB15, bitIndex1)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2370, 2362])).
% 72.06/45.23 tff(2372,plain,
% 72.06/45.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2373,plain,
% 72.06/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2374,plain,
% 72.06/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 72.06/45.23 tff(2375,plain,
% 72.06/45.23 (~v130(constB13, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2374, 1057, 2220])).
% 72.06/45.23 tff(2376,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2377,plain,
% 72.06/45.23 ((v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0))) <=> ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2378,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2377])).
% 72.06/45.23 tff(2379,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2378, 2376])).
% 72.06/45.23 tff(2380,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2381,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 72.06/45.23 tff(2382,plain,
% 72.06/45.23 ((~v127(constB13, bitIndex0)) | v130(constB13, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2381, 769, 2236])).
% 72.06/45.23 tff(2383,plain,
% 72.06/45.23 (~v127(constB13, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2382, 2375])).
% 72.06/45.23 tff(2384,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2385,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2386,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 72.06/45.23 tff(2387,plain,
% 72.06/45.23 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2386, 787, 2251])).
% 72.06/45.23 tff(2388,plain,
% 72.06/45.23 (~v129(constB14, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2387, 2383])).
% 72.06/45.23 tff(2389,plain,
% 72.06/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2390,plain,
% 72.06/45.23 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2391,plain,
% 72.06/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2390])).
% 72.06/45.23 tff(2392,plain,
% 72.06/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2391, 2389])).
% 72.06/45.23 tff(2393,plain,
% 72.06/45.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2394,plain,
% 72.06/45.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 72.06/45.23 tff(2395,plain,
% 72.06/45.23 ((~v90(constB14, bitIndex0)) | (~v100(constB14))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2394, 802, 2388])).
% 72.06/45.23 tff(2396,plain,
% 72.06/45.23 (~v90(constB14, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2395, 2291])).
% 72.06/45.23 tff(2397,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2398,plain,
% 72.06/45.23 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2399,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2398])).
% 72.06/45.23 tff(2400,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2399, 2397])).
% 72.06/45.23 tff(2401,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2402,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 72.06/45.23 tff(2403,plain,
% 72.06/45.23 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2402, 362, 2319])).
% 72.06/45.23 tff(2404,plain,
% 72.06/45.23 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2403, 2331])).
% 72.06/45.23 tff(2405,plain,
% 72.06/45.23 (~v90(constB15, bitIndex0)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2404, 2396])).
% 72.06/45.23 tff(2406,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2407,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2408,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 72.06/45.23 tff(2409,plain,
% 72.06/45.23 (v125(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2408, 1101, 2405, 2371, 2340])).
% 72.06/45.23 tff(2410,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB15) | (~v125(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB15) | (~v125(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2411,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB15) | (~v125(constB15)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2412,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB15) | (~v125(constB15))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 72.06/45.23 tff(2413,plain,
% 72.06/45.23 (v113(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2412, 1112, 2409])).
% 72.06/45.23 tff(2414,assumption,(v26(constB15)), introduced(assumption)).
% 72.06/45.23 tff(2415,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2416,plain,
% 72.06/45.23 ($false),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2415, 26, 2414])).
% 72.06/45.23 tff(2417,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.23 tff(2418,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2419,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2420,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 72.06/45.23 tff(2421,plain,
% 72.06/45.23 ((~v113(constB15)) | v112(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2420, 463, 2417])).
% 72.06/45.23 tff(2422,plain,
% 72.06/45.23 (v112(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2421, 2413])).
% 72.06/45.23 tff(2423,plain,
% 72.06/45.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2424,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2425,plain,
% 72.06/45.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 72.06/45.23 tff(2426,plain,
% 72.06/45.23 (v108(constB15)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2425, 475, 2422])).
% 72.06/45.23 tff(2427,plain,
% 72.06/45.23 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2428,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 72.06/45.23 tff(2429,plain,
% 72.06/45.23 (nextState(constB15, constB16)),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 72.06/45.23 tff(2430,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2431,plain,
% 72.06/45.23 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2432,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 72.06/45.23 inference(monotonicity,[status(thm)],[2431])).
% 72.06/45.23 tff(2433,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.06/45.23 inference(transitivity,[status(thm)],[2432, 2430])).
% 72.06/45.23 tff(2434,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2435,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 72.06/45.23 tff(2436,plain,
% 72.06/45.23 (v110(constB16) | (~v108(constB15))),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2435, 492, 2429])).
% 72.06/45.23 tff(2437,plain,
% 72.06/45.23 (v110(constB16)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2436, 2426])).
% 72.06/45.23 tff(2438,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 72.06/45.23 inference(rewrite,[status(thm)],[])).
% 72.06/45.23 tff(2439,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 72.06/45.23 inference(quant_inst,[status(thm)],[])).
% 72.06/45.23 tff(2440,plain,
% 72.06/45.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 72.06/45.23 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 72.06/45.23 tff(2441,plain,
% 72.06/45.23 (~v104(constB16)),
% 72.06/45.23 inference(unit_resolution,[status(thm)],[2440, 510, 2429, 2316])).
% 72.06/45.23 tff(2442,plain,
% 72.06/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2443,plain,
% 72.06/45.24 (((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2444,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2443])).
% 72.06/45.24 tff(2445,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2444, 2442])).
% 72.06/45.24 tff(2446,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2447,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 72.06/45.24 tff(2448,plain,
% 72.06/45.24 (v104(constB16) | v102(constB16)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2447, 524, 2429])).
% 72.06/45.24 tff(2449,plain,
% 72.06/45.24 (v102(constB16)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2448, 2441])).
% 72.06/45.24 tff(2450,plain,
% 72.06/45.24 (v1(constB16) <=> v1(constB16)),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2451,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 72.06/45.24 tff(2452,plain,
% 72.06/45.24 (v1(constB16)),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 72.06/45.24 tff(2453,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2454,plain,
% 72.06/45.24 (((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))) <=> ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2455,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2454])).
% 72.06/45.24 tff(2456,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2455, 2453])).
% 72.06/45.24 tff(2457,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2458,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 72.06/45.24 tff(2459,plain,
% 72.06/45.24 (v101(constB16) | (~v102(constB16))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2458, 545, 2429, 2452])).
% 72.06/45.24 tff(2460,plain,
% 72.06/45.24 (v101(constB16)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2459, 2449])).
% 72.06/45.24 tff(2461,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2462,plain,
% 72.06/45.24 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2463,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2462])).
% 72.06/45.24 tff(2464,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2463, 2461])).
% 72.06/45.24 tff(2465,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2466,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 72.06/45.24 tff(2467,plain,
% 72.06/45.24 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2466, 563, 2429])).
% 72.06/45.24 tff(2468,plain,
% 72.06/45.24 (v100(constB16) | (~v110(constB16))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2467, 2460])).
% 72.06/45.24 tff(2469,plain,
% 72.06/45.24 (v100(constB16)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2468, 2437])).
% 72.06/45.24 tff(2470,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v122(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v122(constB15)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2471,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v122(constB15)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2472,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v122(constB15))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 72.06/45.24 tff(2473,plain,
% 72.06/45.24 (~v122(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2472, 1193, 2340])).
% 72.06/45.24 tff(2474,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2475,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2476,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2475, 2474])).
% 72.06/45.24 tff(2477,plain,
% 72.06/45.24 (~v119(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2476, 1207, 2371])).
% 72.06/45.24 tff(2478,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v120(constB15)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2479,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v120(constB15)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2480,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v120(constB15))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 72.06/45.24 tff(2481,plain,
% 72.06/45.24 (~v120(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2480, 1240, 2371])).
% 72.06/45.24 tff(2482,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v123(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v123(constB15)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2483,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v123(constB15)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2484,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v123(constB15))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 72.06/45.24 tff(2485,plain,
% 72.06/45.24 (~v123(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2484, 1218, 2371])).
% 72.06/45.24 tff(2486,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v124(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v124(constB15)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2487,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v124(constB15)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2488,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v124(constB15))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 72.06/45.24 tff(2489,plain,
% 72.06/45.24 (~v124(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2488, 1229, 2371])).
% 72.06/45.24 tff(2490,plain,
% 72.06/45.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v121(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v121(constB15)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2491,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v121(constB15)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2492,plain,
% 72.06/45.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v121(constB15))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 72.06/45.24 tff(2493,plain,
% 72.06/45.24 (~v121(constB15)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2492, 1182, 2340])).
% 72.06/45.24 tff(2494,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2495,plain,
% 72.06/45.24 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))) <=> (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2496,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2495])).
% 72.06/45.24 tff(2497,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2496, 2494])).
% 72.06/45.24 tff(2498,plain,
% 72.06/45.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2499,plain,
% 72.06/45.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 72.06/45.24 tff(2500,plain,
% 72.06/45.24 (~v130(constB15, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2499, 1254, 2493, 2489, 2485, 2481, 2477, 2473])).
% 72.06/45.24 tff(2501,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2502,plain,
% 72.06/45.24 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2503,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2502])).
% 72.06/45.24 tff(2504,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2503, 2501])).
% 72.06/45.24 tff(2505,plain,
% 72.06/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2506,plain,
% 72.06/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 72.06/45.24 tff(2507,plain,
% 72.06/45.24 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2506, 1271, 2417])).
% 72.06/45.24 tff(2508,plain,
% 72.06/45.24 (~v127(constB15, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2507, 2500])).
% 72.06/45.24 tff(2509,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2510,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2511,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 72.06/45.24 tff(2512,plain,
% 72.06/45.24 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2511, 1289, 2429])).
% 72.06/45.24 tff(2513,plain,
% 72.06/45.24 (~v129(constB16, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2512, 2508])).
% 72.06/45.24 tff(2514,plain,
% 72.06/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2515,plain,
% 72.06/45.24 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2516,plain,
% 72.06/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2515])).
% 72.06/45.24 tff(2517,plain,
% 72.06/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2516, 2514])).
% 72.06/45.24 tff(2518,plain,
% 72.06/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2519,plain,
% 72.06/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 72.06/45.24 tff(2520,plain,
% 72.06/45.24 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2519, 1304, 2513])).
% 72.06/45.24 tff(2521,plain,
% 72.06/45.24 (~v90(constB16, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2520, 2469])).
% 72.06/45.24 tff(2522,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2523,plain,
% 72.06/45.24 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2524,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2523])).
% 72.06/45.24 tff(2525,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2524, 2522])).
% 72.06/45.24 tff(2526,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2527,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 72.06/45.24 tff(2528,plain,
% 72.06/45.24 (~v101(constB17)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2527, 288, 32, 125])).
% 72.06/45.24 tff(2529,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2530,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2531,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 72.06/45.24 tff(2532,plain,
% 72.06/45.24 (v101(constB17) | (~v100(constB17))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2531, 305, 32])).
% 72.06/45.24 tff(2533,plain,
% 72.06/45.24 (~v100(constB17)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2532, 2528])).
% 72.06/45.24 tff(2534,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2535,plain,
% 72.06/45.24 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2536,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 72.06/45.24 inference(monotonicity,[status(thm)],[2535])).
% 72.06/45.24 tff(2537,plain,
% 72.06/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.06/45.24 inference(transitivity,[status(thm)],[2536, 2534])).
% 72.06/45.24 tff(2538,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.06/45.24 inference(quant_inst,[status(thm)],[])).
% 72.06/45.24 tff(2539,plain,
% 72.06/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 72.06/45.24 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 72.06/45.24 tff(2540,plain,
% 72.06/45.24 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2539, 320, 32])).
% 72.06/45.24 tff(2541,plain,
% 72.06/45.24 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2540, 2533])).
% 72.06/45.24 tff(2542,plain,
% 72.06/45.24 (~v90(constB17, bitIndex2)),
% 72.06/45.24 inference(unit_resolution,[status(thm)],[2541, 2521])).
% 72.06/45.24 tff(2543,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2544,plain,
% 72.06/45.24 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))) <=> (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 72.06/45.24 inference(rewrite,[status(thm)],[])).
% 72.06/45.24 tff(2545,plain,
% 72.06/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2544])).
% 72.06/45.25 tff(2546,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2545, 2543])).
% 72.06/45.25 tff(2547,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2548,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 72.06/45.25 tff(2549,plain,
% 72.06/45.25 (~v130(constB15, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2548, 1349, 2493, 2489, 2485, 2481, 2477, 2473])).
% 72.06/45.25 tff(2550,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2551,plain,
% 72.06/45.25 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2552,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2551])).
% 72.06/45.25 tff(2553,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2552, 2550])).
% 72.06/45.25 tff(2554,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2555,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 72.06/45.25 tff(2556,plain,
% 72.06/45.25 ((~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2555, 695, 2417])).
% 72.06/45.25 tff(2557,plain,
% 72.06/45.25 (~v127(constB15, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2556, 2549])).
% 72.06/45.25 tff(2558,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2559,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2560,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 72.06/45.25 tff(2561,plain,
% 72.06/45.25 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2560, 713, 2429])).
% 72.06/45.25 tff(2562,plain,
% 72.06/45.25 (~v129(constB16, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2561, 2557])).
% 72.06/45.25 tff(2563,plain,
% 72.06/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2564,plain,
% 72.06/45.25 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2565,plain,
% 72.06/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2564])).
% 72.06/45.25 tff(2566,plain,
% 72.06/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2565, 2563])).
% 72.06/45.25 tff(2567,plain,
% 72.06/45.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2568,plain,
% 72.06/45.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 72.06/45.25 tff(2569,plain,
% 72.06/45.25 ((~v90(constB16, bitIndex1)) | (~v100(constB16))),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2568, 728, 2562])).
% 72.06/45.25 tff(2570,plain,
% 72.06/45.25 (~v90(constB16, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2569, 2469])).
% 72.06/45.25 tff(2571,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2572,plain,
% 72.06/45.25 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2573,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2572])).
% 72.06/45.25 tff(2574,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2573, 2571])).
% 72.06/45.25 tff(2575,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2576,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2575, 2574])).
% 72.06/45.25 tff(2577,plain,
% 72.06/45.25 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2576, 341, 32])).
% 72.06/45.25 tff(2578,plain,
% 72.06/45.25 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2577, 2533])).
% 72.06/45.25 tff(2579,plain,
% 72.06/45.25 (~v90(constB17, bitIndex1)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2578, 2570])).
% 72.06/45.25 tff(2580,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2581,plain,
% 72.06/45.25 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0)) <=> (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2582,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0)))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2581])).
% 72.06/45.25 tff(2583,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2582, 2580])).
% 72.06/45.25 tff(2584,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2585,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | v130(constB15, bitIndex0)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 72.06/45.25 tff(2586,plain,
% 72.06/45.25 (v130(constB15, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2585, 1396, 2493, 2489, 2485, 2481, 2477, 2473])).
% 72.06/45.25 tff(2587,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2588,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2589,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 72.06/45.25 tff(2590,plain,
% 72.06/45.25 ((~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2589, 1413, 2417])).
% 72.06/45.25 tff(2591,plain,
% 72.06/45.25 (v127(constB15, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2590, 2586])).
% 72.06/45.25 tff(2592,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2593,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2594,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 72.06/45.25 tff(2595,plain,
% 72.06/45.25 ((~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2594, 1428, 2429])).
% 72.06/45.25 tff(2596,plain,
% 72.06/45.25 (v129(constB16, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2595, 2591])).
% 72.06/45.25 tff(2597,plain,
% 72.06/45.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2598,plain,
% 72.06/45.25 ((v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2599,plain,
% 72.06/45.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2598])).
% 72.06/45.25 tff(2600,plain,
% 72.06/45.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2599, 2597])).
% 72.06/45.25 tff(2601,plain,
% 72.06/45.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2602,plain,
% 72.06/45.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 72.06/45.25 tff(2603,plain,
% 72.06/45.25 (v90(constB16, bitIndex0) | (~v100(constB16))),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2602, 1443, 2596])).
% 72.06/45.25 tff(2604,plain,
% 72.06/45.25 (v90(constB16, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2603, 2469])).
% 72.06/45.25 tff(2605,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2606,plain,
% 72.06/45.25 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2607,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2606])).
% 72.06/45.25 tff(2608,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2607, 2605])).
% 72.06/45.25 tff(2609,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2610,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 72.06/45.25 tff(2611,plain,
% 72.06/45.25 ((~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2610, 1461, 32])).
% 72.06/45.25 tff(2612,plain,
% 72.06/45.25 ((~v90(constB16, bitIndex0)) | v90(constB17, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2611, 2533])).
% 72.06/45.25 tff(2613,plain,
% 72.06/45.25 (v90(constB17, bitIndex0)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2612, 2604])).
% 72.06/45.25 tff(2614,plain,
% 72.06/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2615,plain,
% 72.06/45.25 (((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)) <=> ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2616,plain,
% 72.06/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2615])).
% 72.06/45.25 tff(2617,plain,
% 72.06/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2616, 2614])).
% 72.06/45.25 tff(2618,plain,
% 72.06/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2619,plain,
% 72.06/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 72.06/45.25 tff(2620,plain,
% 72.06/45.25 (v120(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2619, 1480, 2613, 2579, 2542])).
% 72.06/45.25 tff(2621,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2622,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2623,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 72.06/45.25 tff(2624,plain,
% 72.06/45.25 (v118(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2623, 1494, 2620])).
% 72.06/45.25 tff(2625,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2626,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2627,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2626, 2625])).
% 72.06/45.25 tff(2628,plain,
% 72.06/45.25 (v117(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2627, 405, 2624])).
% 72.06/45.25 tff(2629,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2630,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2631,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 72.06/45.25 tff(2632,plain,
% 72.06/45.25 (v116(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2631, 416, 2628])).
% 72.06/45.25 tff(2633,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2634,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2635,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 72.06/45.25 tff(2636,plain,
% 72.06/45.25 (v115(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2635, 427, 2632])).
% 72.06/45.25 tff(2637,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2638,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2639,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 72.06/45.25 tff(2640,plain,
% 72.06/45.25 (v114(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2639, 438, 2636])).
% 72.06/45.25 tff(2641,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2642,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2643,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 72.06/45.25 tff(2644,plain,
% 72.06/45.25 (v113(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2643, 449, 2640])).
% 72.06/45.25 tff(2645,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2646,plain,
% 72.06/45.25 ((v26(constB17) | (~v113(constB17)) | v112(constB17)) <=> (v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2647,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2646])).
% 72.06/45.25 tff(2648,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2647, 2645])).
% 72.06/45.25 tff(2649,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2650,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 72.06/45.25 tff(2651,plain,
% 72.06/45.25 (v26(constB17) | v112(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2650, 463, 2644])).
% 72.06/45.25 tff(2652,plain,
% 72.06/45.25 (v112(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2651, 260])).
% 72.06/45.25 tff(2653,plain,
% 72.06/45.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2654,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2655,plain,
% 72.06/45.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2654, 2653])).
% 72.06/45.25 tff(2656,plain,
% 72.06/45.25 (v108(constB17)),
% 72.06/45.25 inference(unit_resolution,[status(thm)],[2655, 475, 2652])).
% 72.06/45.25 tff(2657,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2658,plain,
% 72.06/45.25 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.06/45.25 inference(rewrite,[status(thm)],[])).
% 72.06/45.25 tff(2659,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 72.06/45.25 inference(monotonicity,[status(thm)],[2658])).
% 72.06/45.25 tff(2660,plain,
% 72.06/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.06/45.25 inference(transitivity,[status(thm)],[2659, 2657])).
% 72.06/45.25 tff(2661,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 72.06/45.25 inference(quant_inst,[status(thm)],[])).
% 72.06/45.25 tff(2662,plain,
% 72.06/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 72.06/45.25 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 72.06/45.26 tff(2663,plain,
% 72.06/45.26 (v110(constB18) | (~v108(constB17))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2662, 492, 107])).
% 72.06/45.26 tff(2664,plain,
% 72.06/45.26 (v110(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2663, 2656])).
% 72.06/45.26 tff(2665,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2666,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2667,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 72.06/45.26 tff(2668,plain,
% 72.06/45.26 (~v104(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2667, 510, 107, 125])).
% 72.06/45.26 tff(2669,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2670,plain,
% 72.06/45.26 (((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2671,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2670])).
% 72.06/45.26 tff(2672,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2671, 2669])).
% 72.06/45.26 tff(2673,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2674,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2673, 2672])).
% 72.06/45.26 tff(2675,plain,
% 72.06/45.26 (v104(constB18) | v102(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2674, 524, 107])).
% 72.06/45.26 tff(2676,plain,
% 72.06/45.26 (v102(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2675, 2668])).
% 72.06/45.26 tff(2677,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2678,plain,
% 72.06/45.26 (((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))) <=> ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2679,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2678])).
% 72.06/45.26 tff(2680,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2679, 2677])).
% 72.06/45.26 tff(2681,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2682,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 72.06/45.26 tff(2683,plain,
% 72.06/45.26 (v101(constB18) | (~v102(constB18))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2682, 545, 107, 64])).
% 72.06/45.26 tff(2684,plain,
% 72.06/45.26 (v101(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2683, 2676])).
% 72.06/45.26 tff(2685,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2686,plain,
% 72.06/45.26 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2687,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2686])).
% 72.06/45.26 tff(2688,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2687, 2685])).
% 72.06/45.26 tff(2689,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2690,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 72.06/45.26 tff(2691,plain,
% 72.06/45.26 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2690, 563, 107])).
% 72.06/45.26 tff(2692,plain,
% 72.06/45.26 (v100(constB18) | (~v110(constB18))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2691, 2684])).
% 72.06/45.26 tff(2693,plain,
% 72.06/45.26 (v100(constB18)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2692, 2664])).
% 72.06/45.26 tff(2694,plain,
% 72.06/45.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2695,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2696,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 72.06/45.26 tff(2697,plain,
% 72.06/45.26 (~v130(constB17, bitIndex2)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2696, 1587, 2620])).
% 72.06/45.26 tff(2698,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2699,plain,
% 72.06/45.26 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2700,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2699])).
% 72.06/45.26 tff(2701,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2700, 2698])).
% 72.06/45.26 tff(2702,plain,
% 72.06/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2703,plain,
% 72.06/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 72.06/45.26 tff(2704,plain,
% 72.06/45.26 ((~v127(constB17, bitIndex2)) | v26(constB17)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2703, 1271, 2697])).
% 72.06/45.26 tff(2705,plain,
% 72.06/45.26 (~v127(constB17, bitIndex2)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2704, 260])).
% 72.06/45.26 tff(2706,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2707,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2708,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2707, 2706])).
% 72.06/45.26 tff(2709,plain,
% 72.06/45.26 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2708, 1289, 107])).
% 72.06/45.26 tff(2710,plain,
% 72.06/45.26 (~v129(constB18, bitIndex2)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2709, 2705])).
% 72.06/45.26 tff(2711,plain,
% 72.06/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2712,plain,
% 72.06/45.26 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2713,plain,
% 72.06/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2712])).
% 72.06/45.26 tff(2714,plain,
% 72.06/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2713, 2711])).
% 72.06/45.26 tff(2715,plain,
% 72.06/45.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2716,plain,
% 72.06/45.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 72.06/45.26 tff(2717,plain,
% 72.06/45.26 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2716, 1304, 2710])).
% 72.06/45.26 tff(2718,plain,
% 72.06/45.26 (~v90(constB18, bitIndex2)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2717, 2693])).
% 72.06/45.26 tff(2719,plain,
% 72.06/45.26 ((~v1(constB19)) <=> (~v1(constB19))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2720,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 72.06/45.26 tff(2721,plain,
% 72.06/45.26 (~v1(constB19)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 72.06/45.26 tff(2722,plain,
% 72.06/45.26 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2723,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 72.06/45.26 tff(2724,plain,
% 72.06/45.26 (nextState(constB18, constB19)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 72.06/45.26 tff(2725,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2726,plain,
% 72.06/45.26 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2727,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2726])).
% 72.06/45.26 tff(2728,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2727, 2725])).
% 72.06/45.26 tff(2729,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2730,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 72.06/45.26 tff(2731,plain,
% 72.06/45.26 (~v101(constB19)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2730, 288, 2724, 2721])).
% 72.06/45.26 tff(2732,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2733,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2734,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 72.06/45.26 tff(2735,plain,
% 72.06/45.26 (v101(constB19) | (~v100(constB19))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2734, 305, 2724])).
% 72.06/45.26 tff(2736,plain,
% 72.06/45.26 (~v100(constB19)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2735, 2731])).
% 72.06/45.26 tff(2737,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2738,plain,
% 72.06/45.26 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2739,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2738])).
% 72.06/45.26 tff(2740,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2739, 2737])).
% 72.06/45.26 tff(2741,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2742,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2741, 2740])).
% 72.06/45.26 tff(2743,plain,
% 72.06/45.26 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2742, 320, 2724])).
% 72.06/45.26 tff(2744,plain,
% 72.06/45.26 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2743, 2736])).
% 72.06/45.26 tff(2745,plain,
% 72.06/45.26 (~v90(constB19, bitIndex2)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2744, 2718])).
% 72.06/45.26 tff(2746,plain,
% 72.06/45.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2747,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2748,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 72.06/45.26 tff(2749,plain,
% 72.06/45.26 (v130(constB17, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2748, 1649, 2620])).
% 72.06/45.26 tff(2750,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2751,plain,
% 72.06/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2752,plain,
% 72.06/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 72.06/45.26 tff(2753,plain,
% 72.06/45.26 (v26(constB17) | v127(constB17, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2752, 990, 2749])).
% 72.06/45.26 tff(2754,plain,
% 72.06/45.26 (v127(constB17, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2753, 260])).
% 72.06/45.26 tff(2755,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2756,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2757,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 72.06/45.26 tff(2758,plain,
% 72.06/45.26 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2757, 1005, 107])).
% 72.06/45.26 tff(2759,plain,
% 72.06/45.26 (v129(constB18, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2758, 2754])).
% 72.06/45.26 tff(2760,plain,
% 72.06/45.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2761,plain,
% 72.06/45.26 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2762,plain,
% 72.06/45.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2761])).
% 72.06/45.26 tff(2763,plain,
% 72.06/45.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2762, 2760])).
% 72.06/45.26 tff(2764,plain,
% 72.06/45.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2765,plain,
% 72.06/45.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 72.06/45.26 tff(2766,plain,
% 72.06/45.26 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2765, 1020, 2759])).
% 72.06/45.26 tff(2767,plain,
% 72.06/45.26 (v90(constB18, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2766, 2693])).
% 72.06/45.26 tff(2768,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2769,plain,
% 72.06/45.26 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2770,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2769])).
% 72.06/45.26 tff(2771,plain,
% 72.06/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.06/45.26 inference(transitivity,[status(thm)],[2770, 2768])).
% 72.06/45.26 tff(2772,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2773,plain,
% 72.06/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 72.06/45.26 tff(2774,plain,
% 72.06/45.26 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2773, 1038, 2724])).
% 72.06/45.26 tff(2775,plain,
% 72.06/45.26 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2774, 2736])).
% 72.06/45.26 tff(2776,plain,
% 72.06/45.26 (v90(constB19, bitIndex1)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2775, 2767])).
% 72.06/45.26 tff(2777,plain,
% 72.06/45.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2778,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.06/45.26 inference(quant_inst,[status(thm)],[])).
% 72.06/45.26 tff(2779,plain,
% 72.06/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0))),
% 72.06/45.26 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 72.06/45.26 tff(2780,plain,
% 72.06/45.26 (~v130(constB17, bitIndex0)),
% 72.06/45.26 inference(unit_resolution,[status(thm)],[2779, 1690, 2620])).
% 72.06/45.26 tff(2781,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2782,plain,
% 72.06/45.26 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.06/45.26 inference(rewrite,[status(thm)],[])).
% 72.06/45.26 tff(2783,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)))),
% 72.06/45.26 inference(monotonicity,[status(thm)],[2782])).
% 72.06/45.26 tff(2784,plain,
% 72.06/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2783, 2781])).
% 72.06/45.27 tff(2785,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2786,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2785, 2784])).
% 72.06/45.27 tff(2787,plain,
% 72.06/45.27 ((~v127(constB17, bitIndex0)) | v26(constB17)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2786, 769, 2780])).
% 72.06/45.27 tff(2788,plain,
% 72.06/45.27 (~v127(constB17, bitIndex0)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2787, 260])).
% 72.06/45.27 tff(2789,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2790,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2791,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 72.06/45.27 tff(2792,plain,
% 72.06/45.27 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2791, 787, 107])).
% 72.06/45.27 tff(2793,plain,
% 72.06/45.27 (~v129(constB18, bitIndex0)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2792, 2788])).
% 72.06/45.27 tff(2794,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2795,plain,
% 72.06/45.27 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2796,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2795])).
% 72.06/45.27 tff(2797,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2796, 2794])).
% 72.06/45.27 tff(2798,plain,
% 72.06/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2799,plain,
% 72.06/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2798, 2797])).
% 72.06/45.27 tff(2800,plain,
% 72.06/45.27 ((~v90(constB18, bitIndex0)) | (~v100(constB18))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2799, 802, 2793])).
% 72.06/45.27 tff(2801,plain,
% 72.06/45.27 (~v90(constB18, bitIndex0)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2800, 2693])).
% 72.06/45.27 tff(2802,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2803,plain,
% 72.06/45.27 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2804,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2803])).
% 72.06/45.27 tff(2805,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2804, 2802])).
% 72.06/45.27 tff(2806,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2807,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 72.06/45.27 tff(2808,plain,
% 72.06/45.27 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2807, 362, 2724])).
% 72.06/45.27 tff(2809,plain,
% 72.06/45.27 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2808, 2736])).
% 72.06/45.27 tff(2810,plain,
% 72.06/45.27 (~v90(constB19, bitIndex0)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2809, 2801])).
% 72.06/45.27 tff(2811,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2812,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2813,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 72.06/45.27 tff(2814,plain,
% 72.06/45.27 (v121(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2813, 1734, 2810, 2776, 2745])).
% 72.06/45.27 tff(2815,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB19) | (~v121(constB19)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB19) | (~v121(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2816,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB19) | (~v121(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2817,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB19) | (~v121(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 72.06/45.27 tff(2818,plain,
% 72.06/45.27 (v117(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2817, 1775, 2814])).
% 72.06/45.27 tff(2819,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2820,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2821,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 72.06/45.27 tff(2822,plain,
% 72.06/45.27 (v116(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2821, 416, 2818])).
% 72.06/45.27 tff(2823,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2824,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2825,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 72.06/45.27 tff(2826,plain,
% 72.06/45.27 (v115(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2825, 427, 2822])).
% 72.06/45.27 tff(2827,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2828,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2829,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 72.06/45.27 tff(2830,plain,
% 72.06/45.27 (v114(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2829, 438, 2826])).
% 72.06/45.27 tff(2831,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2832,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2833,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 72.06/45.27 tff(2834,plain,
% 72.06/45.27 (v113(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2833, 449, 2830])).
% 72.06/45.27 tff(2835,assumption,(v26(constB19)), introduced(assumption)).
% 72.06/45.27 tff(2836,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2837,plain,
% 72.06/45.27 ($false),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2836, 26, 2835])).
% 72.06/45.27 tff(2838,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.27 tff(2839,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2840,plain,
% 72.06/45.27 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2841,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2840])).
% 72.06/45.27 tff(2842,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2841, 2839])).
% 72.06/45.27 tff(2843,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2844,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 72.06/45.27 tff(2845,plain,
% 72.06/45.27 (v112(constB19) | (~v113(constB19))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2844, 463, 2838])).
% 72.06/45.27 tff(2846,plain,
% 72.06/45.27 (v112(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2845, 2834])).
% 72.06/45.27 tff(2847,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2848,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2849,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 72.06/45.27 tff(2850,plain,
% 72.06/45.27 (v108(constB19)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2849, 475, 2846])).
% 72.06/45.27 tff(2851,plain,
% 72.06/45.27 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2852,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 72.06/45.27 tff(2853,plain,
% 72.06/45.27 (nextState(constB19, constB20)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 72.06/45.27 tff(2854,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2855,plain,
% 72.06/45.27 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2856,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2855])).
% 72.06/45.27 tff(2857,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2856, 2854])).
% 72.06/45.27 tff(2858,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2859,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 72.06/45.27 tff(2860,plain,
% 72.06/45.27 (v110(constB20) | (~v108(constB19))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2859, 492, 2853])).
% 72.06/45.27 tff(2861,plain,
% 72.06/45.27 (v110(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2860, 2850])).
% 72.06/45.27 tff(2862,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2863,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2864,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 72.06/45.27 tff(2865,plain,
% 72.06/45.27 (~v104(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2864, 510, 2853, 2721])).
% 72.06/45.27 tff(2866,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2867,plain,
% 72.06/45.27 (((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2868,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2867])).
% 72.06/45.27 tff(2869,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2868, 2866])).
% 72.06/45.27 tff(2870,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2871,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 72.06/45.27 tff(2872,plain,
% 72.06/45.27 (v104(constB20) | v102(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2871, 524, 2853])).
% 72.06/45.27 tff(2873,plain,
% 72.06/45.27 (v102(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2872, 2865])).
% 72.06/45.27 tff(2874,plain,
% 72.06/45.27 (v1(constB20) <=> v1(constB20)),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2875,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 72.06/45.27 tff(2876,plain,
% 72.06/45.27 (v1(constB20)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 72.06/45.27 tff(2877,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2878,plain,
% 72.06/45.27 (((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))) <=> ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2879,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2878])).
% 72.06/45.27 tff(2880,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2879, 2877])).
% 72.06/45.27 tff(2881,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2882,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 72.06/45.27 tff(2883,plain,
% 72.06/45.27 (v101(constB20) | (~v102(constB20))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2882, 545, 2853, 2876])).
% 72.06/45.27 tff(2884,plain,
% 72.06/45.27 (v101(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2883, 2873])).
% 72.06/45.27 tff(2885,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2886,plain,
% 72.06/45.27 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2887,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2886])).
% 72.06/45.27 tff(2888,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2887, 2885])).
% 72.06/45.27 tff(2889,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2890,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 72.06/45.27 tff(2891,plain,
% 72.06/45.27 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2890, 563, 2853])).
% 72.06/45.27 tff(2892,plain,
% 72.06/45.27 (v100(constB20) | (~v110(constB20))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2891, 2884])).
% 72.06/45.27 tff(2893,plain,
% 72.06/45.27 (v100(constB20)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2892, 2861])).
% 72.06/45.27 tff(2894,plain,
% 72.06/45.27 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2895,plain,
% 72.06/45.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2896,plain,
% 72.06/45.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 72.06/45.27 tff(2897,plain,
% 72.06/45.27 (~v130(constB19, bitIndex2)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2896, 1748, 2814])).
% 72.06/45.27 tff(2898,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2899,plain,
% 72.06/45.27 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2900,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2899])).
% 72.06/45.27 tff(2901,plain,
% 72.06/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2900, 2898])).
% 72.06/45.27 tff(2902,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2903,plain,
% 72.06/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 72.06/45.27 tff(2904,plain,
% 72.06/45.27 ((~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2903, 1271, 2838])).
% 72.06/45.27 tff(2905,plain,
% 72.06/45.27 (~v127(constB19, bitIndex2)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2904, 2897])).
% 72.06/45.27 tff(2906,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2907,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2908,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 72.06/45.27 tff(2909,plain,
% 72.06/45.27 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2908, 1289, 2853])).
% 72.06/45.27 tff(2910,plain,
% 72.06/45.27 (~v129(constB20, bitIndex2)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2909, 2905])).
% 72.06/45.27 tff(2911,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2912,plain,
% 72.06/45.27 (((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2913,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2912])).
% 72.06/45.27 tff(2914,plain,
% 72.06/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2913, 2911])).
% 72.06/45.27 tff(2915,plain,
% 72.06/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2916,plain,
% 72.06/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2915, 2914])).
% 72.06/45.27 tff(2917,plain,
% 72.06/45.27 ((~v90(constB20, bitIndex2)) | (~v100(constB20))),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2916, 1304, 2910])).
% 72.06/45.27 tff(2918,plain,
% 72.06/45.27 (~v90(constB20, bitIndex2)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2917, 2893])).
% 72.06/45.27 tff(2919,plain,
% 72.06/45.27 ((~v1(constB21)) <=> (~v1(constB21))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2920,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 72.06/45.27 tff(2921,plain,
% 72.06/45.27 (~v1(constB21)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2920, 2919])).
% 72.06/45.27 tff(2922,plain,
% 72.06/45.27 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2923,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 72.06/45.27 tff(2924,plain,
% 72.06/45.27 (nextState(constB20, constB21)),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 72.06/45.27 tff(2925,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2926,plain,
% 72.06/45.27 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2927,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 72.06/45.27 inference(monotonicity,[status(thm)],[2926])).
% 72.06/45.27 tff(2928,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.06/45.27 inference(transitivity,[status(thm)],[2927, 2925])).
% 72.06/45.27 tff(2929,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2930,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 72.06/45.27 tff(2931,plain,
% 72.06/45.27 (~v101(constB21)),
% 72.06/45.27 inference(unit_resolution,[status(thm)],[2930, 288, 2924, 2921])).
% 72.06/45.27 tff(2932,plain,
% 72.06/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 72.06/45.27 inference(rewrite,[status(thm)],[])).
% 72.06/45.27 tff(2933,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 72.06/45.27 inference(quant_inst,[status(thm)],[])).
% 72.06/45.27 tff(2934,plain,
% 72.06/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 72.06/45.27 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 72.06/45.28 tff(2935,plain,
% 72.06/45.28 (v101(constB21) | (~v100(constB21))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2934, 305, 2924])).
% 72.06/45.28 tff(2936,plain,
% 72.06/45.28 (~v100(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2935, 2931])).
% 72.06/45.28 tff(2937,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2938,plain,
% 72.06/45.28 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2939,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[2938])).
% 72.06/45.28 tff(2940,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.06/45.28 inference(transitivity,[status(thm)],[2939, 2937])).
% 72.06/45.28 tff(2941,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2942,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 72.06/45.28 tff(2943,plain,
% 72.06/45.28 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2942, 320, 2924])).
% 72.06/45.28 tff(2944,plain,
% 72.06/45.28 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2943, 2936])).
% 72.06/45.28 tff(2945,plain,
% 72.06/45.28 (~v90(constB21, bitIndex2)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2944, 2918])).
% 72.06/45.28 tff(2946,plain,
% 72.06/45.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2947,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2948,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2947, 2946])).
% 72.06/45.28 tff(2949,plain,
% 72.06/45.28 (v130(constB19, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2948, 1904, 2814])).
% 72.06/45.28 tff(2950,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2951,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2952,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 72.06/45.28 tff(2953,plain,
% 72.06/45.28 ((~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2952, 990, 2838])).
% 72.06/45.28 tff(2954,plain,
% 72.06/45.28 (v127(constB19, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2953, 2949])).
% 72.06/45.28 tff(2955,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2956,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2957,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 72.06/45.28 tff(2958,plain,
% 72.06/45.28 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2957, 1005, 2853])).
% 72.06/45.28 tff(2959,plain,
% 72.06/45.28 (v129(constB20, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2958, 2954])).
% 72.06/45.28 tff(2960,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2961,plain,
% 72.06/45.28 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2962,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[2961])).
% 72.06/45.28 tff(2963,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 72.06/45.28 inference(transitivity,[status(thm)],[2962, 2960])).
% 72.06/45.28 tff(2964,plain,
% 72.06/45.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2965,plain,
% 72.06/45.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 72.06/45.28 tff(2966,plain,
% 72.06/45.28 (v90(constB20, bitIndex1) | (~v100(constB20))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2965, 1020, 2959])).
% 72.06/45.28 tff(2967,plain,
% 72.06/45.28 (v90(constB20, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2966, 2893])).
% 72.06/45.28 tff(2968,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2969,plain,
% 72.06/45.28 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2970,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[2969])).
% 72.06/45.28 tff(2971,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 72.06/45.28 inference(transitivity,[status(thm)],[2970, 2968])).
% 72.06/45.28 tff(2972,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2973,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 72.06/45.28 tff(2974,plain,
% 72.06/45.28 ((~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2973, 1038, 2924])).
% 72.06/45.28 tff(2975,plain,
% 72.06/45.28 ((~v90(constB20, bitIndex1)) | v90(constB21, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2974, 2936])).
% 72.06/45.28 tff(2976,plain,
% 72.06/45.28 (v90(constB21, bitIndex1)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2975, 2967])).
% 72.06/45.28 tff(2977,plain,
% 72.06/45.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2978,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2979,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 72.06/45.28 tff(2980,plain,
% 72.06/45.28 (v130(constB19, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2979, 1945, 2814])).
% 72.06/45.28 tff(2981,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2982,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2983,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 72.06/45.28 tff(2984,plain,
% 72.06/45.28 ((~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2983, 1413, 2838])).
% 72.06/45.28 tff(2985,plain,
% 72.06/45.28 (v127(constB19, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2984, 2980])).
% 72.06/45.28 tff(2986,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2987,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2988,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 72.06/45.28 tff(2989,plain,
% 72.06/45.28 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2988, 1428, 2853])).
% 72.06/45.28 tff(2990,plain,
% 72.06/45.28 (v129(constB20, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2989, 2985])).
% 72.06/45.28 tff(2991,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2992,plain,
% 72.06/45.28 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(2993,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[2992])).
% 72.06/45.28 tff(2994,plain,
% 72.06/45.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 72.06/45.28 inference(transitivity,[status(thm)],[2993, 2991])).
% 72.06/45.28 tff(2995,plain,
% 72.06/45.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(2996,plain,
% 72.06/45.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 72.06/45.28 tff(2997,plain,
% 72.06/45.28 (v90(constB20, bitIndex0) | (~v100(constB20))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2996, 1443, 2990])).
% 72.06/45.28 tff(2998,plain,
% 72.06/45.28 (v90(constB20, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[2997, 2893])).
% 72.06/45.28 tff(2999,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3000,plain,
% 72.06/45.28 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3001,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[3000])).
% 72.06/45.28 tff(3002,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 72.06/45.28 inference(transitivity,[status(thm)],[3001, 2999])).
% 72.06/45.28 tff(3003,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3004,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 72.06/45.28 tff(3005,plain,
% 72.06/45.28 ((~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3004, 1461, 2924])).
% 72.06/45.28 tff(3006,plain,
% 72.06/45.28 ((~v90(constB20, bitIndex0)) | v90(constB21, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3005, 2936])).
% 72.06/45.28 tff(3007,plain,
% 72.06/45.28 (v90(constB21, bitIndex0)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3006, 2998])).
% 72.06/45.28 tff(3008,plain,
% 72.06/45.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3009,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3010,plain,
% 72.06/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 72.06/45.28 tff(3011,plain,
% 72.06/45.28 (v122(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3010, 1986, 3007, 2976, 2945])).
% 72.06/45.28 tff(3012,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3013,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3014,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 72.06/45.28 tff(3015,plain,
% 72.06/45.28 (v116(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3014, 1997, 3011])).
% 72.06/45.28 tff(3016,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3017,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3018,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 72.06/45.28 tff(3019,plain,
% 72.06/45.28 (v115(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3018, 427, 3015])).
% 72.06/45.28 tff(3020,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3021,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3022,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 72.06/45.28 tff(3023,plain,
% 72.06/45.28 (v114(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3022, 438, 3019])).
% 72.06/45.28 tff(3024,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3025,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3026,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 72.06/45.28 tff(3027,plain,
% 72.06/45.28 (v113(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3026, 449, 3023])).
% 72.06/45.28 tff(3028,assumption,(v26(constB21)), introduced(assumption)).
% 72.06/45.28 tff(3029,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3030,plain,
% 72.06/45.28 ($false),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3029, 26, 3028])).
% 72.06/45.28 tff(3031,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.28 tff(3032,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3033,plain,
% 72.06/45.28 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3034,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[3033])).
% 72.06/45.28 tff(3035,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 72.06/45.28 inference(transitivity,[status(thm)],[3034, 3032])).
% 72.06/45.28 tff(3036,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3037,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3036, 3035])).
% 72.06/45.28 tff(3038,plain,
% 72.06/45.28 (v112(constB21) | (~v113(constB21))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3037, 463, 3031])).
% 72.06/45.28 tff(3039,plain,
% 72.06/45.28 (v112(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3038, 3027])).
% 72.06/45.28 tff(3040,plain,
% 72.06/45.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3041,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3042,plain,
% 72.06/45.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 72.06/45.28 tff(3043,plain,
% 72.06/45.28 (v108(constB21)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3042, 475, 3039])).
% 72.06/45.28 tff(3044,plain,
% 72.06/45.28 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3045,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 72.06/45.28 tff(3046,plain,
% 72.06/45.28 (nextState(constB21, constB22)),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3045, 3044])).
% 72.06/45.28 tff(3047,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3048,plain,
% 72.06/45.28 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3049,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[3048])).
% 72.06/45.28 tff(3050,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.06/45.28 inference(transitivity,[status(thm)],[3049, 3047])).
% 72.06/45.28 tff(3051,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3052,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 72.06/45.28 tff(3053,plain,
% 72.06/45.28 (v110(constB22) | (~v108(constB21))),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3052, 492, 3046])).
% 72.06/45.28 tff(3054,plain,
% 72.06/45.28 (v110(constB22)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3053, 3043])).
% 72.06/45.28 tff(3055,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3056,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3057,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 72.06/45.28 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 72.06/45.28 tff(3058,plain,
% 72.06/45.28 (~v104(constB22)),
% 72.06/45.28 inference(unit_resolution,[status(thm)],[3057, 510, 3046, 2921])).
% 72.06/45.28 tff(3059,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3060,plain,
% 72.06/45.28 (((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 72.06/45.28 inference(rewrite,[status(thm)],[])).
% 72.06/45.28 tff(3061,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)))),
% 72.06/45.28 inference(monotonicity,[status(thm)],[3060])).
% 72.06/45.28 tff(3062,plain,
% 72.06/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 72.06/45.28 inference(transitivity,[status(thm)],[3061, 3059])).
% 72.06/45.28 tff(3063,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 72.06/45.28 inference(quant_inst,[status(thm)],[])).
% 72.06/45.28 tff(3064,plain,
% 72.06/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 72.06/45.29 tff(3065,plain,
% 72.06/45.29 (v104(constB22) | v102(constB22)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3064, 524, 3046])).
% 72.06/45.29 tff(3066,plain,
% 72.06/45.29 (v102(constB22)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3065, 3058])).
% 72.06/45.29 tff(3067,plain,
% 72.06/45.29 (v1(constB22) <=> v1(constB22)),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3068,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 72.06/45.29 tff(3069,plain,
% 72.06/45.29 (v1(constB22)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 72.06/45.29 tff(3070,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3071,plain,
% 72.06/45.29 (((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))) <=> ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3072,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3071])).
% 72.06/45.29 tff(3073,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3072, 3070])).
% 72.06/45.29 tff(3074,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3075,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 72.06/45.29 tff(3076,plain,
% 72.06/45.29 (v101(constB22) | (~v102(constB22))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3075, 545, 3046, 3069])).
% 72.06/45.29 tff(3077,plain,
% 72.06/45.29 (v101(constB22)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3076, 3066])).
% 72.06/45.29 tff(3078,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3079,plain,
% 72.06/45.29 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3080,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3079])).
% 72.06/45.29 tff(3081,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3080, 3078])).
% 72.06/45.29 tff(3082,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3083,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 72.06/45.29 tff(3084,plain,
% 72.06/45.29 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3083, 563, 3046])).
% 72.06/45.29 tff(3085,plain,
% 72.06/45.29 (v100(constB22) | (~v110(constB22))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3084, 3077])).
% 72.06/45.29 tff(3086,plain,
% 72.06/45.29 (v100(constB22)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3085, 3054])).
% 72.06/45.29 tff(3087,plain,
% 72.06/45.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3088,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3089,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3088, 3087])).
% 72.06/45.29 tff(3090,plain,
% 72.06/45.29 (v130(constB21, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3089, 2079, 3011])).
% 72.06/45.29 tff(3091,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3092,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3093,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3092, 3091])).
% 72.06/45.29 tff(3094,plain,
% 72.06/45.29 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3093, 596, 3031])).
% 72.06/45.29 tff(3095,plain,
% 72.06/45.29 (v127(constB21, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3094, 3090])).
% 72.06/45.29 tff(3096,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3097,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3098,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 72.06/45.29 tff(3099,plain,
% 72.06/45.29 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3098, 611, 3046])).
% 72.06/45.29 tff(3100,plain,
% 72.06/45.29 (v129(constB22, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3099, 3095])).
% 72.06/45.29 tff(3101,plain,
% 72.06/45.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3102,plain,
% 72.06/45.29 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3103,plain,
% 72.06/45.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3102])).
% 72.06/45.29 tff(3104,plain,
% 72.06/45.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3103, 3101])).
% 72.06/45.29 tff(3105,plain,
% 72.06/45.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3106,plain,
% 72.06/45.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 72.06/45.29 tff(3107,plain,
% 72.06/45.29 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3106, 626, 3100])).
% 72.06/45.29 tff(3108,plain,
% 72.06/45.29 (v90(constB22, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3107, 3086])).
% 72.06/45.29 tff(3109,plain,
% 72.06/45.29 ((~v1(constB23)) <=> (~v1(constB23))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3110,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 72.06/45.29 tff(3111,plain,
% 72.06/45.29 (~v1(constB23)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 72.06/45.29 tff(3112,plain,
% 72.06/45.29 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3113,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 72.06/45.29 tff(3114,plain,
% 72.06/45.29 (nextState(constB22, constB23)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 72.06/45.29 tff(3115,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3116,plain,
% 72.06/45.29 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3117,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3116])).
% 72.06/45.29 tff(3118,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3117, 3115])).
% 72.06/45.29 tff(3119,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3120,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3119, 3118])).
% 72.06/45.29 tff(3121,plain,
% 72.06/45.29 (~v101(constB23)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3120, 288, 3114, 3111])).
% 72.06/45.29 tff(3122,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3123,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3124,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 72.06/45.29 tff(3125,plain,
% 72.06/45.29 (v101(constB23) | (~v100(constB23))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3124, 305, 3114])).
% 72.06/45.29 tff(3126,plain,
% 72.06/45.29 (~v100(constB23)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3125, 3121])).
% 72.06/45.29 tff(3127,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3128,plain,
% 72.06/45.29 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3129,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3128])).
% 72.06/45.29 tff(3130,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3129, 3127])).
% 72.06/45.29 tff(3131,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3132,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 72.06/45.29 tff(3133,plain,
% 72.06/45.29 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3132, 662, 3114])).
% 72.06/45.29 tff(3134,plain,
% 72.06/45.29 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3133, 3126])).
% 72.06/45.29 tff(3135,plain,
% 72.06/45.29 (v90(constB23, bitIndex2)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3134, 3108])).
% 72.06/45.29 tff(3136,plain,
% 72.06/45.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3137,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3138,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 72.06/45.29 tff(3139,plain,
% 72.06/45.29 (~v130(constB21, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3138, 2138, 3011])).
% 72.06/45.29 tff(3140,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3141,plain,
% 72.06/45.29 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3142,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3141])).
% 72.06/45.29 tff(3143,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3142, 3140])).
% 72.06/45.29 tff(3144,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3145,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3144, 3143])).
% 72.06/45.29 tff(3146,plain,
% 72.06/45.29 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3145, 695, 3031])).
% 72.06/45.29 tff(3147,plain,
% 72.06/45.29 (~v127(constB21, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3146, 3139])).
% 72.06/45.29 tff(3148,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3149,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3150,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 72.06/45.29 tff(3151,plain,
% 72.06/45.29 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3150, 713, 3046])).
% 72.06/45.29 tff(3152,plain,
% 72.06/45.29 (~v129(constB22, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3151, 3147])).
% 72.06/45.29 tff(3153,plain,
% 72.06/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3154,plain,
% 72.06/45.29 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3155,plain,
% 72.06/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3154])).
% 72.06/45.29 tff(3156,plain,
% 72.06/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3155, 3153])).
% 72.06/45.29 tff(3157,plain,
% 72.06/45.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3158,plain,
% 72.06/45.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 72.06/45.29 tff(3159,plain,
% 72.06/45.29 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3158, 728, 3152])).
% 72.06/45.29 tff(3160,plain,
% 72.06/45.29 (~v90(constB22, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3159, 3086])).
% 72.06/45.29 tff(3161,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3162,plain,
% 72.06/45.29 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3163,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3162])).
% 72.06/45.29 tff(3164,plain,
% 72.06/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3163, 3161])).
% 72.06/45.29 tff(3165,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3166,plain,
% 72.06/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 72.06/45.29 tff(3167,plain,
% 72.06/45.29 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3166, 341, 3114])).
% 72.06/45.29 tff(3168,plain,
% 72.06/45.29 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3167, 3126])).
% 72.06/45.29 tff(3169,plain,
% 72.06/45.29 (~v90(constB23, bitIndex1)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3168, 3160])).
% 72.06/45.29 tff(3170,plain,
% 72.06/45.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3171,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3172,plain,
% 72.06/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 72.06/45.29 tff(3173,plain,
% 72.06/45.29 (~v130(constB21, bitIndex0)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3172, 2182, 3011])).
% 72.06/45.29 tff(3174,assumption,(v127(constB21, bitIndex0)), introduced(assumption)).
% 72.06/45.29 tff(3175,assumption,(~v130(constB21, bitIndex0)), introduced(assumption)).
% 72.06/45.29 tff(3176,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3177,plain,
% 72.06/45.29 ((v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0))) <=> ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3178,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)))),
% 72.06/45.29 inference(monotonicity,[status(thm)],[3177])).
% 72.06/45.29 tff(3179,plain,
% 72.06/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 72.06/45.29 inference(transitivity,[status(thm)],[3178, 3176])).
% 72.06/45.29 tff(3180,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))),
% 72.06/45.29 inference(quant_inst,[status(thm)],[])).
% 72.06/45.29 tff(3181,plain,
% 72.06/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3180, 3179])).
% 72.06/45.29 tff(3182,plain,
% 72.06/45.29 ((~v127(constB21, bitIndex0)) | v26(constB21)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3181, 769, 3175])).
% 72.06/45.29 tff(3183,plain,
% 72.06/45.29 (v26(constB21)),
% 72.06/45.29 inference(unit_resolution,[status(thm)],[3182, 3174])).
% 72.06/45.29 tff(3184,plain,
% 72.06/45.29 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 72.06/45.29 inference(bind,[status(th)],[])).
% 72.06/45.29 tff(3185,plain,
% 72.06/45.29 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.29 inference(quant_intro,[status(thm)],[3184])).
% 72.06/45.29 tff(3186,plain,
% 72.06/45.29 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.29 inference(rewrite,[status(thm)],[])).
% 72.06/45.29 tff(3187,plain,
% 72.06/45.29 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 72.06/45.29 inference(bind,[status(th)],[])).
% 72.06/45.29 tff(3188,plain,
% 72.06/45.29 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.29 inference(quant_intro,[status(thm)],[3187])).
% 72.06/45.29 tff(3189,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 72.06/45.29 tff(3190,plain,
% 72.06/45.29 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 72.06/45.29 tff(3191,plain,
% 72.06/45.29 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.29 inference(modus_ponens,[status(thm)],[3190, 3186])).
% 72.06/45.29 tff(3192,plain,(
% 72.06/45.29 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.30 inference(skolemize,[status(sab)],[3191])).
% 72.06/45.30 tff(3193,plain,
% 72.06/45.30 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3192, 3185])).
% 72.06/45.30 tff(3194,plain,
% 72.06/45.30 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB21)) | (~v127(constB21, bitIndex0)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3195,plain,
% 72.06/45.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex0)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3196,plain,
% 72.06/45.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB21)) | (~v127(constB21, bitIndex0))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 72.06/45.30 tff(3197,plain,
% 72.06/45.30 ($false),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3196, 3193, 3174, 3183])).
% 72.06/45.30 tff(3198,plain,((~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.30 tff(3199,plain,
% 72.06/45.30 (~v127(constB21, bitIndex0)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3198, 3173])).
% 72.06/45.30 tff(3200,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3201,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3202,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 72.06/45.30 tff(3203,plain,
% 72.06/45.30 (v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3202, 787, 3046])).
% 72.06/45.30 tff(3204,plain,
% 72.06/45.30 (~v129(constB22, bitIndex0)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3203, 3199])).
% 72.06/45.30 tff(3205,plain,
% 72.06/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3206,plain,
% 72.06/45.30 (((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3207,plain,
% 72.06/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3206])).
% 72.06/45.30 tff(3208,plain,
% 72.06/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3207, 3205])).
% 72.06/45.30 tff(3209,plain,
% 72.06/45.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3210,plain,
% 72.06/45.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 72.06/45.30 tff(3211,plain,
% 72.06/45.30 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3210, 802, 3204])).
% 72.06/45.30 tff(3212,plain,
% 72.06/45.30 (~v90(constB22, bitIndex0)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3211, 3086])).
% 72.06/45.30 tff(3213,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3214,plain,
% 72.06/45.30 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3215,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3214])).
% 72.06/45.30 tff(3216,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3215, 3213])).
% 72.06/45.30 tff(3217,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3218,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 72.06/45.30 tff(3219,plain,
% 72.06/45.30 (v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3218, 362, 3114])).
% 72.06/45.30 tff(3220,plain,
% 72.06/45.30 (v90(constB22, bitIndex0) | (~v90(constB23, bitIndex0))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3219, 3126])).
% 72.06/45.30 tff(3221,plain,
% 72.06/45.30 (~v90(constB23, bitIndex0)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3220, 3212])).
% 72.06/45.30 tff(3222,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3223,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3224,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 72.06/45.30 tff(3225,plain,
% 72.06/45.30 (v123(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3224, 829, 3221, 3169, 3135])).
% 72.06/45.30 tff(3226,plain,
% 72.06/45.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3227,plain,
% 72.06/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3228,plain,
% 72.06/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 72.06/45.30 tff(3229,plain,
% 72.06/45.30 (v130(constB23, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3228, 917, 3225])).
% 72.06/45.30 tff(3230,assumption,(v26(constB23)), introduced(assumption)).
% 72.06/45.30 tff(3231,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3232,plain,
% 72.06/45.30 ($false),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3231, 26, 3230])).
% 72.06/45.30 tff(3233,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.30 tff(3234,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3235,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3236,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 72.06/45.30 tff(3237,plain,
% 72.06/45.30 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3236, 596, 3233])).
% 72.06/45.30 tff(3238,plain,
% 72.06/45.30 (v127(constB23, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3237, 3229])).
% 72.06/45.30 tff(3239,plain,
% 72.06/45.30 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3240,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 72.06/45.30 tff(3241,plain,
% 72.06/45.30 (nextState(constB23, constB24)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 72.06/45.30 tff(3242,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3243,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3244,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 72.06/45.30 tff(3245,plain,
% 72.06/45.30 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3244, 611, 3241])).
% 72.06/45.30 tff(3246,plain,
% 72.06/45.30 (v129(constB24, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3245, 3238])).
% 72.06/45.30 tff(3247,assumption,(~v90(constB23, bitIndex1)), introduced(assumption)).
% 72.06/45.30 tff(3248,plain,
% 72.06/45.30 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v122(VarCurr))))),
% 72.06/45.30 inference(bind,[status(th)],[])).
% 72.06/45.30 tff(3249,plain,
% 72.06/45.30 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.06/45.30 inference(quant_intro,[status(thm)],[3248])).
% 72.06/45.30 tff(3250,plain,
% 72.06/45.30 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3251,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 72.06/45.30 tff(3252,plain,
% 72.06/45.30 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 72.06/45.30 tff(3253,plain,(
% 72.06/45.30 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.06/45.30 inference(skolemize,[status(sab)],[3252])).
% 72.06/45.30 tff(3254,plain,
% 72.06/45.30 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3253, 3249])).
% 72.06/45.30 tff(3255,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB23, bitIndex1) | (~v122(constB23)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB23, bitIndex1) | (~v122(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3256,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB23, bitIndex1) | (~v122(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3257,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB23, bitIndex1) | (~v122(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 72.06/45.30 tff(3258,plain,
% 72.06/45.30 (~v122(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3257, 3254, 3247])).
% 72.06/45.30 tff(3259,assumption,(~v90(constB24, bitIndex1)), introduced(assumption)).
% 72.06/45.30 tff(3260,assumption,(~v100(constB24)), introduced(assumption)).
% 72.06/45.30 tff(3261,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3262,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3263,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 72.06/45.30 tff(3264,plain,
% 72.06/45.30 (~v104(constB24)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3263, 510, 3241, 3111])).
% 72.06/45.30 tff(3265,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3266,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3267,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3266])).
% 72.06/45.30 tff(3268,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3267, 3265])).
% 72.06/45.30 tff(3269,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3270,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 72.06/45.30 tff(3271,plain,
% 72.06/45.30 (v104(constB24) | v102(constB24)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3270, 524, 3241])).
% 72.06/45.30 tff(3272,plain,
% 72.06/45.30 (v102(constB24)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3271, 3264])).
% 72.06/45.30 tff(3273,plain,
% 72.06/45.30 (v1(constB24) <=> v1(constB24)),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3274,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 72.06/45.30 tff(3275,plain,
% 72.06/45.30 (v1(constB24)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3274, 3273])).
% 72.06/45.30 tff(3276,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3277,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))) <=> ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3278,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3277])).
% 72.06/45.30 tff(3279,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3278, 3276])).
% 72.06/45.30 tff(3280,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3281,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3280, 3279])).
% 72.06/45.30 tff(3282,plain,
% 72.06/45.30 (v101(constB24) | (~v102(constB24))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3281, 545, 3241, 3275])).
% 72.06/45.30 tff(3283,plain,
% 72.06/45.30 (v101(constB24)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3282, 3272])).
% 72.06/45.30 tff(3284,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3285,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3286,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3285])).
% 72.06/45.30 tff(3287,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3286, 3284])).
% 72.06/45.30 tff(3288,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3289,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 72.06/45.30 tff(3290,plain,
% 72.06/45.30 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3289, 563, 3241])).
% 72.06/45.30 tff(3291,plain,
% 72.06/45.30 (v100(constB24) | (~v110(constB24))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3290, 3283])).
% 72.06/45.30 tff(3292,plain,
% 72.06/45.30 (~v110(constB24)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3291, 3260])).
% 72.06/45.30 tff(3293,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3294,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3295,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3294])).
% 72.06/45.30 tff(3296,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3295, 3293])).
% 72.06/45.30 tff(3297,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3298,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 72.06/45.30 tff(3299,plain,
% 72.06/45.30 (v110(constB24) | (~v108(constB23))),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3298, 492, 3241])).
% 72.06/45.30 tff(3300,plain,
% 72.06/45.30 (~v108(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3299, 3292])).
% 72.06/45.30 tff(3301,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3302,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3303,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 72.06/45.30 tff(3304,plain,
% 72.06/45.30 (~v112(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3303, 475, 3300])).
% 72.06/45.30 tff(3305,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3306,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3307,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 72.06/45.30 tff(3308,plain,
% 72.06/45.30 ((~v113(constB23)) | v112(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3307, 463, 3233])).
% 72.06/45.30 tff(3309,plain,
% 72.06/45.30 (~v113(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3308, 3304])).
% 72.06/45.30 tff(3310,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3311,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3312,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 72.06/45.30 tff(3313,plain,
% 72.06/45.30 (~v114(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3312, 449, 3309])).
% 72.06/45.30 tff(3314,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3315,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3316,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 72.06/45.30 tff(3317,plain,
% 72.06/45.30 (~v115(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3316, 438, 3313])).
% 72.06/45.30 tff(3318,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3319,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3320,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3319, 3318])).
% 72.06/45.30 tff(3321,plain,
% 72.06/45.30 (~v116(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3320, 427, 3317])).
% 72.06/45.30 tff(3322,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3323,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3324,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 72.06/45.30 tff(3325,plain,
% 72.06/45.30 (~v117(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3324, 416, 3321])).
% 72.06/45.30 tff(3326,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3327,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3328,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 72.06/45.30 tff(3329,plain,
% 72.06/45.30 (~v118(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3328, 405, 3325])).
% 72.06/45.30 tff(3330,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3331,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3332,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 72.06/45.30 tff(3333,plain,
% 72.06/45.30 (~v119(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3332, 394, 3329])).
% 72.06/45.30 tff(3334,plain,
% 72.06/45.30 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23)))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3335,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3336,plain,
% 72.06/45.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23))),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 72.06/45.30 tff(3337,plain,
% 72.06/45.30 (~v120(constB23)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3336, 1494, 3329])).
% 72.06/45.30 tff(3338,assumption,(~v90(constB24, bitIndex2)), introduced(assumption)).
% 72.06/45.30 tff(3339,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3340,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2)) <=> ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3341,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2)))),
% 72.06/45.30 inference(monotonicity,[status(thm)],[3340])).
% 72.06/45.30 tff(3342,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 72.06/45.30 inference(transitivity,[status(thm)],[3341, 3339])).
% 72.06/45.30 tff(3343,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))),
% 72.06/45.30 inference(quant_inst,[status(thm)],[])).
% 72.06/45.30 tff(3344,plain,
% 72.06/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2)),
% 72.06/45.30 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 72.06/45.30 tff(3345,plain,
% 72.06/45.30 ((~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3344, 662, 3241])).
% 72.06/45.30 tff(3346,plain,
% 72.06/45.30 (~v90(constB23, bitIndex2)),
% 72.06/45.30 inference(unit_resolution,[status(thm)],[3345, 3260, 3338])).
% 72.06/45.30 tff(3347,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3348,plain,
% 72.06/45.30 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1)) <=> ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 72.06/45.30 inference(rewrite,[status(thm)],[])).
% 72.06/45.30 tff(3349,plain,
% 72.06/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1)))),
% 72.06/45.31 inference(monotonicity,[status(thm)],[3348])).
% 72.06/45.31 tff(3350,plain,
% 72.06/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 72.06/45.31 inference(transitivity,[status(thm)],[3349, 3347])).
% 72.06/45.31 tff(3351,plain,
% 72.06/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3352,plain,
% 72.06/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1)),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 72.06/45.31 tff(3353,plain,
% 72.06/45.31 ((~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3352, 1038, 3241])).
% 72.06/45.31 tff(3354,plain,
% 72.06/45.31 (~v90(constB23, bitIndex1)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3353, 3260, 3259])).
% 72.06/45.31 tff(3355,plain,
% 72.06/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3356,plain,
% 72.06/45.31 (((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2)) <=> ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3357,plain,
% 72.06/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23)))),
% 72.06/45.31 inference(monotonicity,[status(thm)],[3356])).
% 72.06/45.31 tff(3358,plain,
% 72.06/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 72.06/45.31 inference(transitivity,[status(thm)],[3357, 3355])).
% 72.06/45.31 tff(3359,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3360,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23)),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 72.06/45.31 tff(3361,plain,
% 72.06/45.31 ((~v90(constB23, bitIndex0)) | v120(constB23)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3360, 1480, 3354, 3346])).
% 72.06/45.31 tff(3362,plain,
% 72.06/45.31 (~v90(constB23, bitIndex0)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3361, 3337])).
% 72.06/45.31 tff(3363,plain,
% 72.06/45.31 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3364,plain,
% 72.06/45.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3365,plain,
% 72.06/45.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2)),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 72.06/45.31 tff(3366,plain,
% 72.06/45.31 (v119(constB23) | v90(constB23, bitIndex0)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3365, 383, 3354, 3346])).
% 72.06/45.31 tff(3367,plain,
% 72.06/45.31 ($false),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3366, 3362, 3333])).
% 72.06/45.31 tff(3368,plain,(v100(constB24) | v90(constB24, bitIndex2) | v90(constB24, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.06/45.31 tff(3369,plain,
% 72.06/45.31 (v90(constB24, bitIndex2)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3368, 3260, 3259])).
% 72.06/45.31 tff(3370,plain,
% 72.06/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3371,plain,
% 72.06/45.31 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))) <=> (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3372,plain,
% 72.06/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))))),
% 72.06/45.31 inference(monotonicity,[status(thm)],[3371])).
% 72.06/45.31 tff(3373,plain,
% 72.06/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 72.06/45.31 inference(transitivity,[status(thm)],[3372, 3370])).
% 72.06/45.31 tff(3374,plain,
% 72.06/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3375,plain,
% 72.06/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 72.06/45.31 tff(3376,plain,
% 72.06/45.31 (v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3375, 320, 3241])).
% 72.06/45.31 tff(3377,plain,
% 72.06/45.31 (v90(constB23, bitIndex2)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3376, 3369, 3260])).
% 72.06/45.31 tff(3378,plain,
% 72.06/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB23, bitIndex2)) | (~v122(constB23)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB23, bitIndex2)) | (~v122(constB23)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3379,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB23, bitIndex2)) | (~v122(constB23)))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3380,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB23, bitIndex2)) | (~v122(constB23))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 72.06/45.31 tff(3381,plain,
% 72.06/45.31 (~v122(constB23)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3380, 1193, 3377])).
% 72.06/45.31 tff(3382,plain,
% 72.06/45.31 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v125(VarCurr))))),
% 72.06/45.31 inference(bind,[status(th)],[])).
% 72.06/45.31 tff(3383,plain,
% 72.06/45.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 72.06/45.31 inference(quant_intro,[status(thm)],[3382])).
% 72.06/45.31 tff(3384,plain,
% 72.06/45.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3385,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 72.06/45.31 tff(3386,plain,
% 72.06/45.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 72.06/45.31 tff(3387,plain,(
% 72.06/45.31 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 72.06/45.31 inference(skolemize,[status(sab)],[3386])).
% 72.06/45.31 tff(3388,plain,
% 72.06/45.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3387, 3383])).
% 72.06/45.31 tff(3389,plain,
% 72.06/45.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB23, bitIndex1) | (~v125(constB23)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB23, bitIndex1) | (~v125(constB23)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3390,plain,
% 72.06/45.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB23, bitIndex1) | (~v125(constB23)))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3391,plain,
% 72.06/45.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB23, bitIndex1) | (~v125(constB23))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 72.06/45.31 tff(3392,plain,
% 72.06/45.31 (~v125(constB23)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3391, 3388, 3354])).
% 72.06/45.31 tff(3393,plain,
% 72.06/45.31 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 72.06/45.31 inference(bind,[status(th)],[])).
% 72.06/45.31 tff(3394,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(quant_intro,[status(thm)],[3393])).
% 72.06/45.31 tff(3395,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3396,plain,
% 72.06/45.31 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 72.06/45.31 inference(bind,[status(th)],[])).
% 72.06/45.31 tff(3397,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(quant_intro,[status(thm)],[3396])).
% 72.06/45.31 tff(3398,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 72.06/45.31 tff(3399,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3398, 3397])).
% 72.06/45.31 tff(3400,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3399, 3395])).
% 72.06/45.31 tff(3401,plain,(
% 72.06/45.31 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(skolemize,[status(sab)],[3400])).
% 72.06/45.31 tff(3402,plain,
% 72.06/45.31 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3401, 3394])).
% 72.06/45.31 tff(3403,plain,
% 72.06/45.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB23)) | (~v90(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB23)) | (~v90(constB23, bitIndex2)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3404,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB23)) | (~v90(constB23, bitIndex2)))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3405,plain,
% 72.06/45.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB23)) | (~v90(constB23, bitIndex2))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 72.06/45.31 tff(3406,plain,
% 72.06/45.31 (~v119(constB23)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3405, 3402, 3377])).
% 72.06/45.31 tff(3407,assumption,(~v122(constB23)), introduced(assumption)).
% 72.06/45.31 tff(3408,assumption,(~v125(constB23)), introduced(assumption)).
% 72.06/45.31 tff(3409,assumption,(~v119(constB23)), introduced(assumption)).
% 72.06/45.31 tff(3410,assumption,(~v123(constB23)), introduced(assumption)).
% 72.06/45.31 tff(3411,assumption,(v100(constB24)), introduced(assumption)).
% 72.06/45.31 tff(3412,plain,
% 72.06/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3413,plain,
% 72.06/45.31 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3414,plain,
% 72.06/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 72.06/45.31 inference(monotonicity,[status(thm)],[3413])).
% 72.06/45.31 tff(3415,plain,
% 72.06/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.06/45.31 inference(transitivity,[status(thm)],[3414, 3412])).
% 72.06/45.31 tff(3416,plain,
% 72.06/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 72.06/45.31 inference(quant_inst,[status(thm)],[])).
% 72.06/45.31 tff(3417,plain,
% 72.06/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 72.06/45.31 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 72.06/45.31 tff(3418,plain,
% 72.06/45.31 ((~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3417, 1020, 3259])).
% 72.06/45.31 tff(3419,plain,
% 72.06/45.31 (~v129(constB24, bitIndex1)),
% 72.06/45.31 inference(unit_resolution,[status(thm)],[3418, 3411])).
% 72.06/45.31 tff(3420,plain,
% 72.06/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 72.06/45.31 inference(rewrite,[status(thm)],[])).
% 72.06/45.31 tff(3421,plain,
% 72.06/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3422,plain,
% 72.16/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 72.16/45.31 tff(3423,plain,
% 72.16/45.31 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3422, 1005, 3241])).
% 72.16/45.31 tff(3424,plain,
% 72.16/45.31 (~v127(constB23, bitIndex1)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3423, 3419])).
% 72.16/45.31 tff(3425,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3426,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3427,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 72.16/45.31 tff(3428,plain,
% 72.16/45.31 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3427, 990, 3233])).
% 72.16/45.31 tff(3429,plain,
% 72.16/45.31 (~v130(constB23, bitIndex1)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3428, 3424])).
% 72.16/45.31 tff(3430,plain,
% 72.16/45.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3431,plain,
% 72.16/45.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3432,plain,
% 72.16/45.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB23)) | v130(constB23, bitIndex1)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3431, 3430])).
% 72.16/45.31 tff(3433,plain,
% 72.16/45.31 (~v120(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3432, 1649, 3429])).
% 72.16/45.31 tff(3434,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3435,plain,
% 72.16/45.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3434])).
% 72.16/45.31 tff(3436,plain,
% 72.16/45.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3437,plain,
% 72.16/45.31 (^[VarCurr: $i] : trans(monotonicity(rewrite((v120(VarCurr) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))))), rewrite(((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3438,plain,
% 72.16/45.31 (![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3437])).
% 72.16/45.31 tff(3439,axiom,(![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 72.16/45.31 tff(3440,plain,
% 72.16/45.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 72.16/45.31 tff(3441,plain,
% 72.16/45.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3440, 3436])).
% 72.16/45.31 tff(3442,plain,(
% 72.16/45.31 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3441])).
% 72.16/45.31 tff(3443,plain,
% 72.16/45.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3442, 3435])).
% 72.16/45.31 tff(3444,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v119(constB23) | v120(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v119(constB23) | v120(constB23) | (~v118(constB23)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3445,plain,
% 72.16/45.31 ((v120(constB23) | v119(constB23) | (~v118(constB23))) <=> (v119(constB23) | v120(constB23) | (~v118(constB23)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3446,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB23) | v119(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v119(constB23) | v120(constB23) | (~v118(constB23))))),
% 72.16/45.31 inference(monotonicity,[status(thm)],[3445])).
% 72.16/45.31 tff(3447,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB23) | v119(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v119(constB23) | v120(constB23) | (~v118(constB23)))),
% 72.16/45.31 inference(transitivity,[status(thm)],[3446, 3444])).
% 72.16/45.31 tff(3448,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB23) | v119(constB23) | (~v118(constB23)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3449,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v119(constB23) | v120(constB23) | (~v118(constB23))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 72.16/45.31 tff(3450,plain,
% 72.16/45.31 (v120(constB23) | (~v118(constB23))),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3449, 3443, 3409])).
% 72.16/45.31 tff(3451,plain,
% 72.16/45.31 (~v118(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3450, 3433])).
% 72.16/45.31 tff(3452,plain,
% 72.16/45.31 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3453,plain,
% 72.16/45.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3454,plain,
% 72.16/45.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB23)) | v130(constB23, bitIndex1)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 72.16/45.31 tff(3455,plain,
% 72.16/45.31 (~v121(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3454, 1904, 3429])).
% 72.16/45.31 tff(3456,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3457,plain,
% 72.16/45.31 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3456])).
% 72.16/45.31 tff(3458,plain,
% 72.16/45.31 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3459,plain,
% 72.16/45.31 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr) | v118(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))))), rewrite(((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3460,plain,
% 72.16/45.31 (![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3459])).
% 72.16/45.31 tff(3461,axiom,(![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 72.16/45.31 tff(3462,plain,
% 72.16/45.31 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 72.16/45.31 tff(3463,plain,
% 72.16/45.31 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3462, 3458])).
% 72.16/45.31 tff(3464,plain,(
% 72.16/45.31 ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3463])).
% 72.16/45.31 tff(3465,plain,
% 72.16/45.31 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3464, 3457])).
% 72.16/45.31 tff(3466,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB23) | v121(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB23) | v121(constB23) | (~v117(constB23)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3467,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB23) | v121(constB23) | (~v117(constB23)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3468,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB23) | v121(constB23) | (~v117(constB23))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 72.16/45.31 tff(3469,plain,
% 72.16/45.31 (~v117(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3468, 3465, 3455, 3451])).
% 72.16/45.31 tff(3470,plain,
% 72.16/45.31 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3471,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3470])).
% 72.16/45.31 tff(3472,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3473,plain,
% 72.16/45.31 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3474,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3473])).
% 72.16/45.31 tff(3475,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 72.16/45.31 tff(3476,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 72.16/45.31 tff(3477,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3476, 3472])).
% 72.16/45.31 tff(3478,plain,(
% 72.16/45.31 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3477])).
% 72.16/45.31 tff(3479,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3478, 3471])).
% 72.16/45.31 tff(3480,plain,
% 72.16/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v100(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v100(constB24)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3481,plain,
% 72.16/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v100(constB24)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3482,plain,
% 72.16/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v100(constB24))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 72.16/45.31 tff(3483,plain,
% 72.16/45.31 (v110(constB24) | (~v100(constB24))),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3482, 3479, 3241])).
% 72.16/45.31 tff(3484,plain,
% 72.16/45.31 (v110(constB24)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3483, 3411])).
% 72.16/45.31 tff(3485,plain,
% 72.16/45.31 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3486,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3485])).
% 72.16/45.31 tff(3487,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3488,plain,
% 72.16/45.31 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3489,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3488])).
% 72.16/45.31 tff(3490,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 72.16/45.31 tff(3491,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 72.16/45.31 tff(3492,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3491, 3487])).
% 72.16/45.31 tff(3493,plain,(
% 72.16/45.31 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3492])).
% 72.16/45.31 tff(3494,plain,
% 72.16/45.31 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3493, 3486])).
% 72.16/45.31 tff(3495,plain,
% 72.16/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3496,plain,
% 72.16/45.31 (((~nextState(constB23, constB24)) | v108(constB23) | (~v110(constB24))) <=> ((~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3497,plain,
% 72.16/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB23, constB24)) | v108(constB23) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23)))),
% 72.16/45.31 inference(monotonicity,[status(thm)],[3496])).
% 72.16/45.31 tff(3498,plain,
% 72.16/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB23, constB24)) | v108(constB23) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23))),
% 72.16/45.31 inference(transitivity,[status(thm)],[3497, 3495])).
% 72.16/45.31 tff(3499,plain,
% 72.16/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB23, constB24)) | v108(constB23) | (~v110(constB24)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3500,plain,
% 72.16/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB23, constB24)) | (~v110(constB24)) | v108(constB23)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 72.16/45.31 tff(3501,plain,
% 72.16/45.31 ((~v110(constB24)) | v108(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3500, 3494, 3241])).
% 72.16/45.31 tff(3502,plain,
% 72.16/45.31 (v108(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3501, 3484])).
% 72.16/45.31 tff(3503,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3504,plain,
% 72.16/45.31 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3503])).
% 72.16/45.31 tff(3505,plain,
% 72.16/45.31 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3506,plain,
% 72.16/45.31 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3507,plain,
% 72.16/45.31 (![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3506])).
% 72.16/45.31 tff(3508,axiom,(![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 72.16/45.31 tff(3509,plain,
% 72.16/45.31 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 72.16/45.31 tff(3510,plain,
% 72.16/45.31 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3509, 3505])).
% 72.16/45.31 tff(3511,plain,(
% 72.16/45.31 ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3510])).
% 72.16/45.31 tff(3512,plain,
% 72.16/45.31 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3511, 3504])).
% 72.16/45.31 tff(3513,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB23)) | v26(constB23) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB23)) | v26(constB23) | v112(constB23))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3514,plain,
% 72.16/45.31 ((v26(constB23) | v112(constB23) | (~v108(constB23))) <=> ((~v108(constB23)) | v26(constB23) | v112(constB23))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3515,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB23) | v112(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB23)) | v26(constB23) | v112(constB23)))),
% 72.16/45.31 inference(monotonicity,[status(thm)],[3514])).
% 72.16/45.31 tff(3516,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB23) | v112(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB23)) | v26(constB23) | v112(constB23))),
% 72.16/45.31 inference(transitivity,[status(thm)],[3515, 3513])).
% 72.16/45.31 tff(3517,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB23) | v112(constB23) | (~v108(constB23)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3518,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB23)) | v26(constB23) | v112(constB23)),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 72.16/45.31 tff(3519,plain,
% 72.16/45.31 ((~v108(constB23)) | v112(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3518, 3512, 3233])).
% 72.16/45.31 tff(3520,plain,
% 72.16/45.31 (v112(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3519, 3502])).
% 72.16/45.31 tff(3521,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3522,plain,
% 72.16/45.31 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3521])).
% 72.16/45.31 tff(3523,plain,
% 72.16/45.31 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3524,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 72.16/45.31 tff(3525,plain,
% 72.16/45.31 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 72.16/45.31 tff(3526,plain,(
% 72.16/45.31 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3525])).
% 72.16/45.31 tff(3527,plain,
% 72.16/45.31 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3526, 3522])).
% 72.16/45.31 tff(3528,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB23) | (~v112(constB23)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3529,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB23) | (~v112(constB23)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3530,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB23) | (~v112(constB23))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 72.16/45.31 tff(3531,plain,
% 72.16/45.31 (v113(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3530, 3527, 3520])).
% 72.16/45.31 tff(3532,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3533,plain,
% 72.16/45.31 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3532])).
% 72.16/45.31 tff(3534,plain,
% 72.16/45.31 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3535,plain,
% 72.16/45.31 (^[VarCurr: $i] : trans(monotonicity(rewrite((v125(VarCurr) | v114(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))))), rewrite(((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3536,plain,
% 72.16/45.31 (![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3535])).
% 72.16/45.31 tff(3537,axiom,(![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 72.16/45.31 tff(3538,plain,
% 72.16/45.31 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 72.16/45.31 tff(3539,plain,
% 72.16/45.31 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3538, 3534])).
% 72.16/45.31 tff(3540,plain,(
% 72.16/45.31 ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(skolemize,[status(sab)],[3539])).
% 72.16/45.31 tff(3541,plain,
% 72.16/45.31 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3540, 3533])).
% 72.16/45.31 tff(3542,plain,
% 72.16/45.31 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB23) | v125(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB23) | v125(constB23) | (~v113(constB23)))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3543,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB23) | v125(constB23) | (~v113(constB23)))),
% 72.16/45.31 inference(quant_inst,[status(thm)],[])).
% 72.16/45.31 tff(3544,plain,
% 72.16/45.31 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB23) | v125(constB23) | (~v113(constB23))),
% 72.16/45.31 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 72.16/45.31 tff(3545,plain,
% 72.16/45.31 (v114(constB23) | (~v113(constB23))),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3544, 3541, 3408])).
% 72.16/45.31 tff(3546,plain,
% 72.16/45.31 (v114(constB23)),
% 72.16/45.31 inference(unit_resolution,[status(thm)],[3545, 3531])).
% 72.16/45.31 tff(3547,plain,
% 72.16/45.31 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3548,plain,
% 72.16/45.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3547])).
% 72.16/45.31 tff(3549,plain,
% 72.16/45.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.31 inference(rewrite,[status(thm)],[])).
% 72.16/45.31 tff(3550,plain,
% 72.16/45.31 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.16/45.31 inference(bind,[status(th)],[])).
% 72.16/45.31 tff(3551,plain,
% 72.16/45.31 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.31 inference(quant_intro,[status(thm)],[3550])).
% 72.16/45.31 tff(3552,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 72.16/45.32 tff(3553,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 72.16/45.32 tff(3554,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3553, 3549])).
% 72.16/45.32 tff(3555,plain,(
% 72.16/45.32 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3554])).
% 72.16/45.32 tff(3556,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3555, 3548])).
% 72.16/45.32 tff(3557,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3558,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3559,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 72.16/45.32 tff(3560,plain,
% 72.16/45.32 (~v124(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3559, 3556, 3429])).
% 72.16/45.32 tff(3561,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3562,plain,
% 72.16/45.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3561])).
% 72.16/45.32 tff(3563,plain,
% 72.16/45.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3564,plain,
% 72.16/45.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr) | v115(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))))), rewrite(((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3565,plain,
% 72.16/45.32 (![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3564])).
% 72.16/45.32 tff(3566,axiom,(![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 72.16/45.32 tff(3567,plain,
% 72.16/45.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 72.16/45.32 tff(3568,plain,
% 72.16/45.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3567, 3563])).
% 72.16/45.32 tff(3569,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3568])).
% 72.16/45.32 tff(3570,plain,
% 72.16/45.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3569, 3562])).
% 72.16/45.32 tff(3571,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB23) | v124(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB23) | v124(constB23) | (~v114(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3572,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB23) | v124(constB23) | (~v114(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3573,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB23) | v124(constB23) | (~v114(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3572, 3571])).
% 72.16/45.32 tff(3574,plain,
% 72.16/45.32 (v115(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3573, 3570, 3560, 3546])).
% 72.16/45.32 tff(3575,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3576,plain,
% 72.16/45.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3575])).
% 72.16/45.32 tff(3577,plain,
% 72.16/45.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3578,plain,
% 72.16/45.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v123(VarCurr) | v116(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))))), rewrite(((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3579,plain,
% 72.16/45.32 (![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3578])).
% 72.16/45.32 tff(3580,axiom,(![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 72.16/45.32 tff(3581,plain,
% 72.16/45.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 72.16/45.32 tff(3582,plain,
% 72.16/45.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3581, 3577])).
% 72.16/45.32 tff(3583,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3582])).
% 72.16/45.32 tff(3584,plain,
% 72.16/45.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3583, 3576])).
% 72.16/45.32 tff(3585,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB23) | v123(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB23) | v123(constB23) | (~v115(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3586,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB23) | v123(constB23) | (~v115(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3587,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB23) | v123(constB23) | (~v115(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 72.16/45.32 tff(3588,plain,
% 72.16/45.32 (v116(constB23) | (~v115(constB23))),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3587, 3584, 3410])).
% 72.16/45.32 tff(3589,plain,
% 72.16/45.32 (v116(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3588, 3574])).
% 72.16/45.32 tff(3590,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3591,plain,
% 72.16/45.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3590])).
% 72.16/45.32 tff(3592,plain,
% 72.16/45.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3593,plain,
% 72.16/45.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v122(VarCurr) | v117(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))))), rewrite(((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3594,plain,
% 72.16/45.32 (![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3593])).
% 72.16/45.32 tff(3595,axiom,(![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 72.16/45.32 tff(3596,plain,
% 72.16/45.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 72.16/45.32 tff(3597,plain,
% 72.16/45.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3596, 3592])).
% 72.16/45.32 tff(3598,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3597])).
% 72.16/45.32 tff(3599,plain,
% 72.16/45.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3598, 3591])).
% 72.16/45.32 tff(3600,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB23) | v122(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB23) | v122(constB23) | (~v116(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3601,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB23) | v122(constB23) | (~v116(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3602,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB23) | v122(constB23) | (~v116(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 72.16/45.32 tff(3603,plain,
% 72.16/45.32 ($false),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3602, 3599, 3407, 3589, 3469])).
% 72.16/45.32 tff(3604,plain,((~v100(constB24)) | v122(constB23) | v123(constB23) | v119(constB23) | v125(constB23) | v90(constB24, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.32 tff(3605,plain,
% 72.16/45.32 (~v100(constB24)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3604, 3259, 3410, 3409, 3408, 3407])).
% 72.16/45.32 tff(3606,plain,
% 72.16/45.32 (v90(constB24, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3368, 3605, 3259])).
% 72.16/45.32 tff(3607,plain,
% 72.16/45.32 (v90(constB23, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3376, 3606, 3605])).
% 72.16/45.32 tff(3608,plain,
% 72.16/45.32 (~v90(constB23, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3353, 3605, 3259])).
% 72.16/45.32 tff(3609,plain,
% 72.16/45.32 (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2))),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3224, 829, 3410])).
% 72.16/45.32 tff(3610,plain,
% 72.16/45.32 (v90(constB23, bitIndex0)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3609, 3607, 3608])).
% 72.16/45.32 tff(3611,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3612,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3611])).
% 72.16/45.32 tff(3613,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3614,plain,
% 72.16/45.32 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3615,plain,
% 72.16/45.32 (![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3614])).
% 72.16/45.32 tff(3616,axiom,(![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 72.16/45.32 tff(3617,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 72.16/45.32 tff(3618,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3617, 3613])).
% 72.16/45.32 tff(3619,plain,(
% 72.16/45.32 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3618])).
% 72.16/45.32 tff(3620,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3619, 3612])).
% 72.16/45.32 tff(3621,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3622,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3623,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 72.16/45.32 tff(3624,plain,
% 72.16/45.32 (v124(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3623, 3620, 3610, 3608, 3607])).
% 72.16/45.32 tff(3625,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3626,plain,
% 72.16/45.32 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3625])).
% 72.16/45.32 tff(3627,plain,
% 72.16/45.32 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3628,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 72.16/45.32 tff(3629,plain,
% 72.16/45.32 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 72.16/45.32 tff(3630,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3629])).
% 72.16/45.32 tff(3631,plain,
% 72.16/45.32 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3630, 3626])).
% 72.16/45.32 tff(3632,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3633,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3634,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 72.16/45.32 tff(3635,plain,
% 72.16/45.32 (v114(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3634, 3631, 3624])).
% 72.16/45.32 tff(3636,plain,
% 72.16/45.32 (~v110(constB24)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3291, 3605])).
% 72.16/45.32 tff(3637,plain,
% 72.16/45.32 (~v108(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3299, 3636])).
% 72.16/45.32 tff(3638,plain,
% 72.16/45.32 (~v112(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3303, 475, 3637])).
% 72.16/45.32 tff(3639,plain,
% 72.16/45.32 (~v113(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3308, 3638])).
% 72.16/45.32 tff(3640,plain,
% 72.16/45.32 ($false),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3312, 449, 3639, 3635])).
% 72.16/45.32 tff(3641,plain,(v90(constB24, bitIndex1) | v123(constB23) | v119(constB23) | v125(constB23) | v122(constB23)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.32 tff(3642,plain,
% 72.16/45.32 (v123(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3641, 3406, 3259, 3392, 3381])).
% 72.16/45.32 tff(3643,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3644,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3645,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 72.16/45.32 tff(3646,plain,
% 72.16/45.32 (v115(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3645, 840, 3642])).
% 72.16/45.32 tff(3647,plain,
% 72.16/45.32 ($false),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3316, 438, 3646, 3313])).
% 72.16/45.32 tff(3648,plain,(v100(constB24) | v90(constB24, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.32 tff(3649,plain,
% 72.16/45.32 (v100(constB24)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3648, 3259])).
% 72.16/45.32 tff(3650,plain,
% 72.16/45.32 (~v129(constB24, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3418, 3649])).
% 72.16/45.32 tff(3651,plain,
% 72.16/45.32 (~v127(constB23, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3423, 3650])).
% 72.16/45.32 tff(3652,plain,
% 72.16/45.32 (~v130(constB23, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3428, 3651])).
% 72.16/45.32 tff(3653,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3654,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3655,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 72.16/45.32 tff(3656,plain,
% 72.16/45.32 (~v123(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3655, 976, 3652])).
% 72.16/45.32 tff(3657,plain,
% 72.16/45.32 (~v125(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3391, 3388, 3247])).
% 72.16/45.32 tff(3658,plain,
% 72.16/45.32 (v119(constB23)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3604, 3657, 3259, 3649, 3656, 3258])).
% 72.16/45.32 tff(3659,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3660,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3659])).
% 72.16/45.32 tff(3661,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3662,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 72.16/45.32 tff(3663,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 72.16/45.32 tff(3664,plain,(
% 72.16/45.32 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3663])).
% 72.16/45.32 tff(3665,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3664, 3660])).
% 72.16/45.32 tff(3666,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB23, bitIndex0)) | (~v119(constB23)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB23, bitIndex0)) | (~v119(constB23)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3667,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB23, bitIndex0)) | (~v119(constB23)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3668,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB23, bitIndex0)) | (~v119(constB23))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 72.16/45.32 tff(3669,plain,
% 72.16/45.32 (~v90(constB23, bitIndex0)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3668, 3665, 3658])).
% 72.16/45.32 tff(3670,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3671,plain,
% 72.16/45.32 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3672,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)))),
% 72.16/45.32 inference(monotonicity,[status(thm)],[3671])).
% 72.16/45.32 tff(3673,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.16/45.32 inference(transitivity,[status(thm)],[3672, 3670])).
% 72.16/45.32 tff(3674,plain,
% 72.16/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3675,plain,
% 72.16/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 72.16/45.32 tff(3676,plain,
% 72.16/45.32 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3675, 1461, 3114])).
% 72.16/45.32 tff(3677,plain,
% 72.16/45.32 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3676, 3126])).
% 72.16/45.32 tff(3678,plain,
% 72.16/45.32 (~v90(constB22, bitIndex0)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3677, 3669])).
% 72.16/45.32 tff(3679,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3680,plain,
% 72.16/45.32 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3681,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1)))),
% 72.16/45.32 inference(monotonicity,[status(thm)],[3680])).
% 72.16/45.32 tff(3682,plain,
% 72.16/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 72.16/45.32 inference(transitivity,[status(thm)],[3681, 3679])).
% 72.16/45.32 tff(3683,plain,
% 72.16/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3684,plain,
% 72.16/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 72.16/45.32 tff(3685,plain,
% 72.16/45.32 ((~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3684, 1038, 3114])).
% 72.16/45.32 tff(3686,plain,
% 72.16/45.32 ((~v90(constB22, bitIndex1)) | v90(constB23, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3685, 3126])).
% 72.16/45.32 tff(3687,plain,
% 72.16/45.32 (~v90(constB22, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3686, 3247])).
% 72.16/45.32 tff(3688,plain,
% 72.16/45.32 (~v90(constB23, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3405, 3402, 3658])).
% 72.16/45.32 tff(3689,plain,
% 72.16/45.32 (~v90(constB22, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3134, 3688])).
% 72.16/45.32 tff(3690,assumption,(~v90(constB22, bitIndex2)), introduced(assumption)).
% 72.16/45.32 tff(3691,assumption,(~v90(constB21, bitIndex0)), introduced(assumption)).
% 72.16/45.32 tff(3692,assumption,(~v90(constB21, bitIndex2)), introduced(assumption)).
% 72.16/45.32 tff(3693,assumption,(~v121(constB21)), introduced(assumption)).
% 72.16/45.32 tff(3694,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3695,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3696,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 72.16/45.32 tff(3697,plain,
% 72.16/45.32 (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3696, 1734, 3693])).
% 72.16/45.32 tff(3698,plain,
% 72.16/45.32 (~v90(constB21, bitIndex1)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3697, 3692, 3691])).
% 72.16/45.32 tff(3699,assumption,(~v119(constB21)), introduced(assumption)).
% 72.16/45.32 tff(3700,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3701,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3702,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3701, 3700])).
% 72.16/45.32 tff(3703,plain,
% 72.16/45.32 (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3702, 383, 3699])).
% 72.16/45.32 tff(3704,plain,
% 72.16/45.32 ($false),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3703, 3698, 3692, 3691])).
% 72.16/45.32 tff(3705,plain,(v90(constB21, bitIndex2) | v90(constB21, bitIndex0) | v119(constB21) | v121(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.32 tff(3706,plain,
% 72.16/45.32 (v119(constB21)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3705, 3692, 3691, 3693])).
% 72.16/45.32 tff(3707,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB21)) | v130(constB21, bitIndex2))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3708,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB21)) | v130(constB21, bitIndex2))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3709,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB21)) | v130(constB21, bitIndex2)),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 72.16/45.32 tff(3710,plain,
% 72.16/45.32 (v130(constB21, bitIndex2)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3709, 582, 3706])).
% 72.16/45.32 tff(3711,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3712,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3711])).
% 72.16/45.32 tff(3713,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3714,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 72.16/45.32 tff(3715,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 72.16/45.32 tff(3716,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3715])).
% 72.16/45.32 tff(3717,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3716, 3712])).
% 72.16/45.32 tff(3718,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB21, bitIndex2) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB21, bitIndex2) | (~v123(constB21)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3719,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB21, bitIndex2) | (~v123(constB21)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3720,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB21, bitIndex2) | (~v123(constB21))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 72.16/45.32 tff(3721,plain,
% 72.16/45.32 (~v123(constB21)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3720, 3717, 3692])).
% 72.16/45.32 tff(3722,assumption,(~v123(constB21)), introduced(assumption)).
% 72.16/45.32 tff(3723,assumption,(v130(constB21, bitIndex2)), introduced(assumption)).
% 72.16/45.32 tff(3724,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3725,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3724])).
% 72.16/45.32 tff(3726,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3727,plain,
% 72.16/45.32 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3728,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3727])).
% 72.16/45.32 tff(3729,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 72.16/45.32 tff(3730,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 72.16/45.32 tff(3731,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3730, 3726])).
% 72.16/45.32 tff(3732,plain,(
% 72.16/45.32 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3731])).
% 72.16/45.32 tff(3733,plain,
% 72.16/45.32 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3732, 3725])).
% 72.16/45.32 tff(3734,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3735,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3736,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB21)) | (~v130(constB21, bitIndex2))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 72.16/45.32 tff(3737,plain,
% 72.16/45.32 (~v124(constB21)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3736, 3733, 3723])).
% 72.16/45.32 tff(3738,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3739,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3740,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 72.16/45.32 tff(3741,plain,
% 72.16/45.32 (~v120(constB21)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3740, 1587, 3723])).
% 72.16/45.32 tff(3742,plain,
% 72.16/45.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3743,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.32 tff(3744,plain,
% 72.16/45.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 72.16/45.32 tff(3745,plain,
% 72.16/45.32 (~v121(constB21)),
% 72.16/45.32 inference(unit_resolution,[status(thm)],[3744, 1748, 3723])).
% 72.16/45.32 tff(3746,plain,
% 72.16/45.32 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 72.16/45.32 inference(bind,[status(th)],[])).
% 72.16/45.32 tff(3747,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.16/45.32 inference(quant_intro,[status(thm)],[3746])).
% 72.16/45.32 tff(3748,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3749,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 72.16/45.32 tff(3750,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 72.16/45.32 tff(3751,plain,(
% 72.16/45.32 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.16/45.32 inference(skolemize,[status(sab)],[3750])).
% 72.16/45.32 tff(3752,plain,
% 72.16/45.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.16/45.32 inference(modus_ponens,[status(thm)],[3751, 3747])).
% 72.16/45.32 tff(3753,plain,
% 72.16/45.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB21, bitIndex0) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB21, bitIndex0) | (~v122(constB21)))),
% 72.16/45.32 inference(rewrite,[status(thm)],[])).
% 72.16/45.32 tff(3754,plain,
% 72.16/45.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB21, bitIndex0) | (~v122(constB21)))),
% 72.16/45.32 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3755,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB21, bitIndex0) | (~v122(constB21))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 72.16/45.33 tff(3756,plain,
% 72.16/45.33 (~v122(constB21)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3755, 3752, 3691])).
% 72.16/45.33 tff(3757,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3758,plain,
% 72.16/45.33 ((v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2))) <=> ((~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3759,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21)))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3758])).
% 72.16/45.33 tff(3760,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3759, 3757])).
% 72.16/45.33 tff(3761,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3762,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB21, bitIndex2)) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 72.16/45.33 tff(3763,plain,
% 72.16/45.33 (v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3762, 1254, 3723])).
% 72.16/45.33 tff(3764,plain,
% 72.16/45.33 (v119(constB21)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3763, 3756, 3745, 3741, 3737, 3722])).
% 72.16/45.33 tff(3765,assumption,(v119(constB21)), introduced(assumption)).
% 72.16/45.33 tff(3766,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB21)) | (~v90(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB21)) | (~v90(constB21, bitIndex2)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3767,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB21)) | (~v90(constB21, bitIndex2)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3768,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB21)) | (~v90(constB21, bitIndex2))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 72.16/45.33 tff(3769,plain,
% 72.16/45.33 (~v90(constB21, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3768, 3402, 3765])).
% 72.16/45.33 tff(3770,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3771,plain,
% 72.16/45.33 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3772,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3771])).
% 72.16/45.33 tff(3773,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3772, 3770])).
% 72.16/45.33 tff(3774,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3775,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 72.16/45.33 tff(3776,plain,
% 72.16/45.33 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3775, 662, 2924])).
% 72.16/45.33 tff(3777,plain,
% 72.16/45.33 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3776, 2936])).
% 72.16/45.33 tff(3778,plain,
% 72.16/45.33 (~v90(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3777, 3769])).
% 72.16/45.33 tff(3779,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB21, bitIndex0)) | (~v119(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB21, bitIndex0)) | (~v119(constB21)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3780,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB21, bitIndex0)) | (~v119(constB21)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3781,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB21, bitIndex0)) | (~v119(constB21))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3780, 3779])).
% 72.16/45.33 tff(3782,plain,
% 72.16/45.33 (~v90(constB21, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3781, 3665, 3765])).
% 72.16/45.33 tff(3783,plain,
% 72.16/45.33 (~v90(constB20, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3006, 3782])).
% 72.16/45.33 tff(3784,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v90(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v90(constB21, bitIndex1)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3785,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v90(constB21, bitIndex1)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3786,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v90(constB21, bitIndex1))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 72.16/45.33 tff(3787,plain,
% 72.16/45.33 (~v90(constB21, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3786, 1207, 3765])).
% 72.16/45.33 tff(3788,plain,
% 72.16/45.33 (~v90(constB20, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2975, 3787])).
% 72.16/45.33 tff(3789,assumption,(~v119(constB20)), introduced(assumption)).
% 72.16/45.33 tff(3790,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB20) | v90(constB20, bitIndex0) | v90(constB20, bitIndex1) | v90(constB20, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB20) | v90(constB20, bitIndex0) | v90(constB20, bitIndex1) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3791,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB20) | v90(constB20, bitIndex0) | v90(constB20, bitIndex1) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3792,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB20) | v90(constB20, bitIndex0) | v90(constB20, bitIndex1) | v90(constB20, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 72.16/45.33 tff(3793,plain,
% 72.16/45.33 (v90(constB20, bitIndex0) | v90(constB20, bitIndex1) | v90(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3792, 383, 3789])).
% 72.16/45.33 tff(3794,plain,
% 72.16/45.33 ($false),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3793, 3788, 3783, 3778])).
% 72.16/45.33 tff(3795,plain,((~v119(constB21)) | v119(constB20)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.33 tff(3796,plain,
% 72.16/45.33 (v119(constB20)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3795, 3764])).
% 72.16/45.33 tff(3797,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB20)) | (~v90(constB20, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB20)) | (~v90(constB20, bitIndex2)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3798,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB20)) | (~v90(constB20, bitIndex2)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3799,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB20)) | (~v90(constB20, bitIndex2))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3798, 3797])).
% 72.16/45.33 tff(3800,plain,
% 72.16/45.33 (~v90(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3799, 3402, 3796])).
% 72.16/45.33 tff(3801,plain,
% 72.16/45.33 (~v90(constB20, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3006, 3691])).
% 72.16/45.33 tff(3802,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB20)) | (~v90(constB20, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB20)) | (~v90(constB20, bitIndex1)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3803,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB20)) | (~v90(constB20, bitIndex1)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3804,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB20)) | (~v90(constB20, bitIndex1))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 72.16/45.33 tff(3805,plain,
% 72.16/45.33 (~v90(constB20, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3804, 1207, 3796])).
% 72.16/45.33 tff(3806,assumption,(~v90(constB20, bitIndex2)), introduced(assumption)).
% 72.16/45.33 tff(3807,assumption,(~v100(constB20)), introduced(assumption)).
% 72.16/45.33 tff(3808,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3809,plain,
% 72.16/45.33 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)) <=> ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3810,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3809])).
% 72.16/45.33 tff(3811,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3810, 3808])).
% 72.16/45.33 tff(3812,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3813,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 72.16/45.33 tff(3814,plain,
% 72.16/45.33 ((~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3813, 662, 2853])).
% 72.16/45.33 tff(3815,plain,
% 72.16/45.33 (~v90(constB19, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3814, 3807, 3806])).
% 72.16/45.33 tff(3816,assumption,(~v90(constB20, bitIndex1)), introduced(assumption)).
% 72.16/45.33 tff(3817,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3818,plain,
% 72.16/45.33 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)) <=> ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3819,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3818])).
% 72.16/45.33 tff(3820,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3819, 3817])).
% 72.16/45.33 tff(3821,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3822,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 72.16/45.33 tff(3823,plain,
% 72.16/45.33 ((~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3822, 1038, 2853])).
% 72.16/45.33 tff(3824,plain,
% 72.16/45.33 (~v90(constB19, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3823, 3807, 3816])).
% 72.16/45.33 tff(3825,assumption,(~v90(constB20, bitIndex0)), introduced(assumption)).
% 72.16/45.33 tff(3826,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3827,plain,
% 72.16/45.33 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)) <=> ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3828,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3827])).
% 72.16/45.33 tff(3829,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3828, 3826])).
% 72.16/45.33 tff(3830,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3831,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 72.16/45.33 tff(3832,plain,
% 72.16/45.33 ((~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3831, 1461, 2853])).
% 72.16/45.33 tff(3833,plain,
% 72.16/45.33 (~v90(constB19, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3832, 3807, 3825])).
% 72.16/45.33 tff(3834,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3835,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3836,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 72.16/45.33 tff(3837,plain,
% 72.16/45.33 (v119(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3836, 383, 3833, 3824, 3815])).
% 72.16/45.33 tff(3838,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB19) | (~v119(constB19)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB19) | (~v119(constB19)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3839,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB19) | (~v119(constB19)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3840,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB19) | (~v119(constB19))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 72.16/45.33 tff(3841,plain,
% 72.16/45.33 (v118(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3840, 394, 3837])).
% 72.16/45.33 tff(3842,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB19) | (~v118(constB19)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB19) | (~v118(constB19)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3843,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB19) | (~v118(constB19)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3844,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB19) | (~v118(constB19))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 72.16/45.33 tff(3845,plain,
% 72.16/45.33 (v117(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3844, 405, 3841])).
% 72.16/45.33 tff(3846,plain,
% 72.16/45.33 (v116(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2821, 416, 3845])).
% 72.16/45.33 tff(3847,plain,
% 72.16/45.33 (~v110(constB20)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2892, 3807])).
% 72.16/45.33 tff(3848,plain,
% 72.16/45.33 (~v108(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2860, 3847])).
% 72.16/45.33 tff(3849,plain,
% 72.16/45.33 (~v112(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2849, 475, 3848])).
% 72.16/45.33 tff(3850,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB19) | (~v26(constB19)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3851,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB19) | (~v26(constB19)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3852,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB19) | (~v26(constB19))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 72.16/45.33 tff(3853,plain,
% 72.16/45.33 (~v26(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3852, 1807, 3848])).
% 72.16/45.33 tff(3854,plain,
% 72.16/45.33 (~v113(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2844, 463, 3853, 3849])).
% 72.16/45.33 tff(3855,plain,
% 72.16/45.33 (~v114(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2833, 449, 3854])).
% 72.16/45.33 tff(3856,plain,
% 72.16/45.33 (~v115(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2829, 438, 3855])).
% 72.16/45.33 tff(3857,plain,
% 72.16/45.33 ($false),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2825, 427, 3856, 3846])).
% 72.16/45.33 tff(3858,plain,(v100(constB20) | v90(constB20, bitIndex2) | v90(constB20, bitIndex1) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.33 tff(3859,plain,
% 72.16/45.33 (v100(constB20)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3858, 3800, 3805, 3801])).
% 72.16/45.33 tff(3860,plain,
% 72.16/45.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3861,plain,
% 72.16/45.33 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3862,plain,
% 72.16/45.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))))),
% 72.16/45.33 inference(monotonicity,[status(thm)],[3861])).
% 72.16/45.33 tff(3863,plain,
% 72.16/45.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.16/45.33 inference(transitivity,[status(thm)],[3862, 3860])).
% 72.16/45.33 tff(3864,plain,
% 72.16/45.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3865,plain,
% 72.16/45.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 72.16/45.33 tff(3866,plain,
% 72.16/45.33 (~v129(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3865, 626, 3859, 3800])).
% 72.16/45.33 tff(3867,plain,
% 72.16/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3868,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3869,plain,
% 72.16/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 72.16/45.33 tff(3870,plain,
% 72.16/45.33 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3869, 611, 2853])).
% 72.16/45.33 tff(3871,plain,
% 72.16/45.33 (~v127(constB19, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3870, 3866])).
% 72.16/45.33 tff(3872,plain,
% 72.16/45.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3873,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3874,plain,
% 72.16/45.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 72.16/45.33 tff(3875,plain,
% 72.16/45.33 ((~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3874, 596, 2838])).
% 72.16/45.33 tff(3876,plain,
% 72.16/45.33 (~v130(constB19, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3875, 3871])).
% 72.16/45.33 tff(3877,plain,
% 72.16/45.33 ((~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2996, 1443, 3801])).
% 72.16/45.33 tff(3878,plain,
% 72.16/45.33 (~v129(constB20, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3877, 3859])).
% 72.16/45.33 tff(3879,plain,
% 72.16/45.33 (~v127(constB19, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2989, 3878])).
% 72.16/45.33 tff(3880,plain,
% 72.16/45.33 (~v130(constB19, bitIndex0)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2984, 3879])).
% 72.16/45.33 tff(3881,plain,
% 72.16/45.33 (~v121(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2979, 1945, 3880])).
% 72.16/45.33 tff(3882,plain,
% 72.16/45.33 (~v129(constB20, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2965, 1020, 3859, 3805])).
% 72.16/45.33 tff(3883,plain,
% 72.16/45.33 (~v127(constB19, bitIndex1)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[2958, 3882])).
% 72.16/45.33 tff(3884,assumption,(~v26(constB19)), introduced(assumption)).
% 72.16/45.33 tff(3885,assumption,(~v127(constB19, bitIndex2)), introduced(assumption)).
% 72.16/45.33 tff(3886,plain,
% 72.16/45.33 (v26(constB19) | (~v130(constB19, bitIndex2))),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3874, 596, 3885])).
% 72.16/45.33 tff(3887,plain,
% 72.16/45.33 (~v130(constB19, bitIndex2)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3886, 3884])).
% 72.16/45.33 tff(3888,plain,
% 72.16/45.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB19)) | v130(constB19, bitIndex2))),
% 72.16/45.33 inference(rewrite,[status(thm)],[])).
% 72.16/45.33 tff(3889,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB19)) | v130(constB19, bitIndex2))),
% 72.16/45.33 inference(quant_inst,[status(thm)],[])).
% 72.16/45.33 tff(3890,plain,
% 72.16/45.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB19)) | v130(constB19, bitIndex2)),
% 72.16/45.33 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 72.16/45.33 tff(3891,plain,
% 72.16/45.33 (~v119(constB19)),
% 72.16/45.33 inference(unit_resolution,[status(thm)],[3890, 582, 3887])).
% 72.16/45.33 tff(3892,assumption,(~v127(constB19, bitIndex1)), introduced(assumption)).
% 72.16/45.34 tff(3893,plain,
% 72.16/45.34 (v26(constB19) | (~v130(constB19, bitIndex1))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[2952, 990, 3892])).
% 72.16/45.34 tff(3894,plain,
% 72.16/45.34 (~v130(constB19, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3893, 3884])).
% 72.16/45.34 tff(3895,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3896,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3897,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 72.16/45.34 tff(3898,plain,
% 72.16/45.34 (~v120(constB19)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3897, 1649, 3894])).
% 72.16/45.34 tff(3899,assumption,(~v127(constB19, bitIndex0)), introduced(assumption)).
% 72.16/45.34 tff(3900,plain,
% 72.16/45.34 (v26(constB19) | (~v130(constB19, bitIndex0))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[2983, 1413, 3899])).
% 72.16/45.34 tff(3901,plain,
% 72.16/45.34 (~v130(constB19, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3900, 3884])).
% 72.16/45.34 tff(3902,plain,
% 72.16/45.34 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.16/45.34 inference(bind,[status(th)],[])).
% 72.16/45.34 tff(3903,plain,
% 72.16/45.34 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(quant_intro,[status(thm)],[3902])).
% 72.16/45.34 tff(3904,plain,
% 72.16/45.34 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3905,plain,
% 72.16/45.34 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.16/45.34 inference(bind,[status(th)],[])).
% 72.16/45.34 tff(3906,plain,
% 72.16/45.34 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(quant_intro,[status(thm)],[3905])).
% 72.16/45.34 tff(3907,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 72.16/45.34 tff(3908,plain,
% 72.16/45.34 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 72.16/45.34 tff(3909,plain,
% 72.16/45.34 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3908, 3904])).
% 72.16/45.34 tff(3910,plain,(
% 72.16/45.34 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(skolemize,[status(sab)],[3909])).
% 72.16/45.34 tff(3911,plain,
% 72.16/45.34 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3910, 3903])).
% 72.16/45.34 tff(3912,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB19)) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3913,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB19)) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3914,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB19)) | v130(constB19, bitIndex0)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 72.16/45.34 tff(3915,plain,
% 72.16/45.34 (~v124(constB19)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3914, 3911, 3901])).
% 72.16/45.34 tff(3916,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB19)) | v130(constB19, bitIndex1))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3917,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB19)) | v130(constB19, bitIndex1))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3918,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB19)) | v130(constB19, bitIndex1)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 72.16/45.34 tff(3919,plain,
% 72.16/45.34 (~v123(constB19)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3918, 976, 3894])).
% 72.16/45.34 tff(3920,assumption,(~v121(constB19)), introduced(assumption)).
% 72.16/45.34 tff(3921,assumption,(~v122(constB19)), introduced(assumption)).
% 72.16/45.34 tff(3922,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3923,plain,
% 72.16/45.34 ((v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0)) <=> (v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3924,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0)))),
% 72.16/45.34 inference(monotonicity,[status(thm)],[3923])).
% 72.16/45.34 tff(3925,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(transitivity,[status(thm)],[3924, 3922])).
% 72.16/45.34 tff(3926,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3927,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v122(constB19) | v120(constB19) | v119(constB19) | v121(constB19) | v123(constB19) | v130(constB19, bitIndex0)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 72.16/45.34 tff(3928,plain,
% 72.16/45.34 (v124(constB19) | v120(constB19) | v119(constB19) | v123(constB19) | v130(constB19, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3927, 1396, 3921, 3920])).
% 72.16/45.34 tff(3929,plain,
% 72.16/45.34 ($false),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3928, 3919, 3915, 3901, 3898, 3891])).
% 72.16/45.34 tff(3930,plain,(v26(constB19) | v122(constB19) | v121(constB19) | v127(constB19, bitIndex2) | v127(constB19, bitIndex1) | v127(constB19, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.34 tff(3931,plain,
% 72.16/45.34 (v122(constB19) | v121(constB19) | v127(constB19, bitIndex2) | v127(constB19, bitIndex1) | v127(constB19, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3930, 2838])).
% 72.16/45.34 tff(3932,plain,
% 72.16/45.34 (v122(constB19)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3931, 3883, 3879, 3881, 3871])).
% 72.16/45.34 tff(3933,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3934,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3935,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 72.16/45.34 tff(3936,plain,
% 72.16/45.34 ($false),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3935, 2079, 3932, 3876])).
% 72.16/45.34 tff(3937,plain,(v90(constB21, bitIndex0) | v123(constB21) | (~v130(constB21, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.16/45.34 tff(3938,plain,
% 72.16/45.34 ($false),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3937, 3721, 3710, 3691])).
% 72.16/45.34 tff(3939,plain,(v90(constB21, bitIndex2) | v90(constB21, bitIndex0) | v121(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.34 tff(3940,plain,
% 72.16/45.34 (v121(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3939, 3692, 3691])).
% 72.16/45.34 tff(3941,assumption,(v121(constB21)), introduced(assumption)).
% 72.16/45.34 tff(3942,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB21) | (~v121(constB21)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB21) | (~v121(constB21)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3943,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB21) | (~v121(constB21)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3944,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB21) | (~v121(constB21))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 72.16/45.34 tff(3945,plain,
% 72.16/45.34 (v117(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3944, 1775, 3941])).
% 72.16/45.34 tff(3946,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3947,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3948,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 72.16/45.34 tff(3949,plain,
% 72.16/45.34 (v116(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3948, 416, 3945])).
% 72.16/45.34 tff(3950,plain,
% 72.16/45.34 (v115(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3018, 427, 3949])).
% 72.16/45.34 tff(3951,plain,
% 72.16/45.34 (v114(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3022, 438, 3950])).
% 72.16/45.34 tff(3952,plain,
% 72.16/45.34 (v113(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3026, 449, 3951])).
% 72.16/45.34 tff(3953,assumption,(~v26(constB21)), introduced(assumption)).
% 72.16/45.34 tff(3954,plain,
% 72.16/45.34 (v112(constB21) | (~v113(constB21))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3037, 463, 3953])).
% 72.16/45.34 tff(3955,plain,
% 72.16/45.34 (v112(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3954, 3952])).
% 72.16/45.34 tff(3956,plain,
% 72.16/45.34 (v108(constB21)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3042, 475, 3955])).
% 72.16/45.34 tff(3957,plain,
% 72.16/45.34 (v110(constB22)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3053, 3956])).
% 72.16/45.34 tff(3958,plain,
% 72.16/45.34 (v100(constB22)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3085, 3957])).
% 72.16/45.34 tff(3959,assumption,(~v129(constB22, bitIndex2)), introduced(assumption)).
% 72.16/45.34 tff(3960,plain,
% 72.16/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3961,plain,
% 72.16/45.34 (((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3962,plain,
% 72.16/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22))))),
% 72.16/45.34 inference(monotonicity,[status(thm)],[3961])).
% 72.16/45.34 tff(3963,plain,
% 72.16/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 72.16/45.34 inference(transitivity,[status(thm)],[3962, 3960])).
% 72.16/45.34 tff(3964,plain,
% 72.16/45.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3965,plain,
% 72.16/45.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 72.16/45.34 tff(3966,plain,
% 72.16/45.34 ((~v90(constB22, bitIndex2)) | (~v100(constB22))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3965, 1304, 3959])).
% 72.16/45.34 tff(3967,plain,
% 72.16/45.34 (~v90(constB22, bitIndex2)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3966, 3958])).
% 72.16/45.34 tff(3968,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3969,plain,
% 72.16/45.34 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3970,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))))),
% 72.16/45.34 inference(monotonicity,[status(thm)],[3969])).
% 72.16/45.34 tff(3971,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 72.16/45.34 inference(transitivity,[status(thm)],[3970, 3968])).
% 72.16/45.34 tff(3972,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3973,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 72.16/45.34 tff(3974,plain,
% 72.16/45.34 (v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3973, 320, 3114])).
% 72.16/45.34 tff(3975,plain,
% 72.16/45.34 (v90(constB22, bitIndex2) | (~v90(constB23, bitIndex2))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3974, 3126])).
% 72.16/45.34 tff(3976,plain,
% 72.16/45.34 (~v90(constB23, bitIndex2)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3975, 3967])).
% 72.16/45.34 tff(3977,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB21)) | v130(constB21, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3978,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB21)) | v130(constB21, bitIndex0))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3979,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB21)) | v130(constB21, bitIndex0)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 72.16/45.34 tff(3980,plain,
% 72.16/45.34 (v130(constB21, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3979, 1945, 3941])).
% 72.16/45.34 tff(3981,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3982,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3983,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 72.16/45.34 tff(3984,plain,
% 72.16/45.34 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3983, 1413, 3953])).
% 72.16/45.34 tff(3985,plain,
% 72.16/45.34 (v127(constB21, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3984, 3980])).
% 72.16/45.34 tff(3986,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3987,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3988,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 72.16/45.34 tff(3989,plain,
% 72.16/45.34 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3988, 1428, 3046])).
% 72.16/45.34 tff(3990,plain,
% 72.16/45.34 (v129(constB22, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3989, 3985])).
% 72.16/45.34 tff(3991,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3992,plain,
% 72.16/45.34 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(3993,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))))),
% 72.16/45.34 inference(monotonicity,[status(thm)],[3992])).
% 72.16/45.34 tff(3994,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.16/45.34 inference(transitivity,[status(thm)],[3993, 3991])).
% 72.16/45.34 tff(3995,plain,
% 72.16/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(3996,plain,
% 72.16/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 72.16/45.34 tff(3997,plain,
% 72.16/45.34 (v90(constB22, bitIndex0) | (~v100(constB22))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3996, 1443, 3990])).
% 72.16/45.34 tff(3998,plain,
% 72.16/45.34 (v90(constB22, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3997, 3958])).
% 72.16/45.34 tff(3999,plain,
% 72.16/45.34 (v90(constB23, bitIndex0)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3677, 3998])).
% 72.16/45.34 tff(4000,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB21)) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4001,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4002,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB21)) | v130(constB21, bitIndex1)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 72.16/45.34 tff(4003,plain,
% 72.16/45.34 (v130(constB21, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4002, 1904, 3941])).
% 72.16/45.34 tff(4004,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4005,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4006,plain,
% 72.16/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 72.16/45.34 tff(4007,plain,
% 72.16/45.34 ((~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4006, 990, 3953])).
% 72.16/45.34 tff(4008,plain,
% 72.16/45.34 (v127(constB21, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4007, 4003])).
% 72.16/45.34 tff(4009,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4010,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4011,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 72.16/45.34 tff(4012,plain,
% 72.16/45.34 ((~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4011, 1005, 3046])).
% 72.16/45.34 tff(4013,plain,
% 72.16/45.34 (v129(constB22, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4012, 4008])).
% 72.16/45.34 tff(4014,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4015,plain,
% 72.16/45.34 ((v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4016,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22))))),
% 72.16/45.34 inference(monotonicity,[status(thm)],[4015])).
% 72.16/45.34 tff(4017,plain,
% 72.16/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 72.16/45.34 inference(transitivity,[status(thm)],[4016, 4014])).
% 72.16/45.34 tff(4018,plain,
% 72.16/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4019,plain,
% 72.16/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 72.16/45.34 tff(4020,plain,
% 72.16/45.34 (v90(constB22, bitIndex1) | (~v100(constB22))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4019, 1020, 4013])).
% 72.16/45.34 tff(4021,plain,
% 72.16/45.34 (v90(constB22, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4020, 3958])).
% 72.16/45.34 tff(4022,plain,
% 72.16/45.34 (v90(constB23, bitIndex1)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[3686, 4021])).
% 72.16/45.34 tff(4023,plain,
% 72.16/45.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v122(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v122(constB23))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4024,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v122(constB23))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4025,plain,
% 72.16/45.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v122(constB23)),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 72.16/45.34 tff(4026,plain,
% 72.16/45.34 ((~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4025, 1986, 3407])).
% 72.16/45.34 tff(4027,plain,
% 72.16/45.34 ($false),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4026, 4022, 3999, 3976])).
% 72.16/45.34 tff(4028,plain,((~v121(constB21)) | v122(constB23) | v129(constB22, bitIndex2) | v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.34 tff(4029,plain,
% 72.16/45.34 (v129(constB22, bitIndex2)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4028, 3940, 3031, 3407])).
% 72.16/45.34 tff(4030,plain,
% 72.16/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4031,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 72.16/45.34 inference(quant_inst,[status(thm)],[])).
% 72.16/45.34 tff(4032,plain,
% 72.16/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 72.16/45.34 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 72.16/45.34 tff(4033,plain,
% 72.16/45.34 (v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4032, 1289, 3046])).
% 72.16/45.34 tff(4034,plain,
% 72.16/45.34 (v127(constB21, bitIndex2)),
% 72.16/45.34 inference(unit_resolution,[status(thm)],[4033, 4029])).
% 72.16/45.34 tff(4035,assumption,(v127(constB21, bitIndex2)), introduced(assumption)).
% 72.16/45.34 tff(4036,assumption,(~v130(constB21, bitIndex2)), introduced(assumption)).
% 72.16/45.34 tff(4037,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4038,plain,
% 72.16/45.34 ((v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2))) <=> ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 72.16/45.34 inference(rewrite,[status(thm)],[])).
% 72.16/45.34 tff(4039,plain,
% 72.16/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4038])).
% 72.16/45.35 tff(4040,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4039, 4037])).
% 72.16/45.35 tff(4041,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4042,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 72.16/45.35 tff(4043,plain,
% 72.16/45.35 ((~v127(constB21, bitIndex2)) | v26(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4042, 1271, 4036])).
% 72.16/45.35 tff(4044,plain,
% 72.16/45.35 (v26(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4043, 4035])).
% 72.16/45.35 tff(4045,plain,
% 72.16/45.35 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 72.16/45.35 inference(bind,[status(th)],[])).
% 72.16/45.35 tff(4046,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(quant_intro,[status(thm)],[4045])).
% 72.16/45.35 tff(4047,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4048,plain,
% 72.16/45.35 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 72.16/45.35 inference(bind,[status(th)],[])).
% 72.16/45.35 tff(4049,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(quant_intro,[status(thm)],[4048])).
% 72.16/45.35 tff(4050,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 72.16/45.35 tff(4051,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 72.16/45.35 tff(4052,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4051, 4047])).
% 72.16/45.35 tff(4053,plain,(
% 72.16/45.35 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(skolemize,[status(sab)],[4052])).
% 72.16/45.35 tff(4054,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4053, 4046])).
% 72.16/45.35 tff(4055,plain,
% 72.16/45.35 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB21)) | (~v127(constB21, bitIndex2)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4056,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex2)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4057,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB21)) | (~v127(constB21, bitIndex2))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 72.16/45.35 tff(4058,plain,
% 72.16/45.35 ($false),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4057, 4054, 4035, 4044])).
% 72.16/45.35 tff(4059,plain,((~v127(constB21, bitIndex2)) | v130(constB21, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.35 tff(4060,plain,
% 72.16/45.35 (v130(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4059, 4034])).
% 72.16/45.35 tff(4061,plain,
% 72.16/45.35 (v123(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3937, 4060, 3691])).
% 72.16/45.35 tff(4062,plain,
% 72.16/45.35 ($false),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3720, 3717, 3692, 4061])).
% 72.16/45.35 tff(4063,plain,(v90(constB21, bitIndex2) | v90(constB21, bitIndex0) | v122(constB23)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.35 tff(4064,plain,
% 72.16/45.35 (v90(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4063, 3691, 3407])).
% 72.16/45.35 tff(4065,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4066,plain,
% 72.16/45.35 (((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex2)) | v100(constB22) | v90(constB22, bitIndex2)) <=> ((~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4067,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex2)) | v100(constB22) | v90(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2)))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4066])).
% 72.16/45.35 tff(4068,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex2)) | v100(constB22) | v90(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4067, 4065])).
% 72.16/45.35 tff(4069,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex2)) | v100(constB22) | v90(constB22, bitIndex2))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4070,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex2)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 72.16/45.35 tff(4071,plain,
% 72.16/45.35 ((~v90(constB21, bitIndex2)) | v100(constB22) | v90(constB22, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4070, 662, 3046])).
% 72.16/45.35 tff(4072,plain,
% 72.16/45.35 (v100(constB22)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4071, 4064, 3690])).
% 72.16/45.35 tff(4073,assumption,(~v90(constB22, bitIndex1)), introduced(assumption)).
% 72.16/45.35 tff(4074,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex1)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4019, 1020, 4073])).
% 72.16/45.35 tff(4075,plain,
% 72.16/45.35 (~v129(constB22, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4074, 4072])).
% 72.16/45.35 tff(4076,plain,
% 72.16/45.35 (~v127(constB21, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4012, 4075])).
% 72.16/45.35 tff(4077,plain,
% 72.16/45.35 ((~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4006, 990, 3031])).
% 72.16/45.35 tff(4078,plain,
% 72.16/45.35 (~v130(constB21, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4077, 4076])).
% 72.16/45.35 tff(4079,plain,
% 72.16/45.35 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 72.16/45.35 inference(bind,[status(th)],[])).
% 72.16/45.35 tff(4080,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.16/45.35 inference(quant_intro,[status(thm)],[4079])).
% 72.16/45.35 tff(4081,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4082,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 72.16/45.35 tff(4083,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4082, 4081])).
% 72.16/45.35 tff(4084,plain,(
% 72.16/45.35 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.16/45.35 inference(skolemize,[status(sab)],[4083])).
% 72.16/45.35 tff(4085,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4084, 4080])).
% 72.16/45.35 tff(4086,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4087,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4088,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 72.16/45.35 tff(4089,plain,
% 72.16/45.35 (~v124(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4088, 4085, 3691])).
% 72.16/45.35 tff(4090,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3106, 626, 3690])).
% 72.16/45.35 tff(4091,plain,
% 72.16/45.35 (~v129(constB22, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4090, 4072])).
% 72.16/45.35 tff(4092,plain,
% 72.16/45.35 (~v121(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4028, 4091, 3031, 3407])).
% 72.16/45.35 tff(4093,plain,
% 72.16/45.35 (~v127(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3099, 4091])).
% 72.16/45.35 tff(4094,plain,
% 72.16/45.35 (~v130(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3094, 4093])).
% 72.16/45.35 tff(4095,plain,
% 72.16/45.35 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 72.16/45.35 inference(bind,[status(th)],[])).
% 72.16/45.35 tff(4096,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.16/45.35 inference(quant_intro,[status(thm)],[4095])).
% 72.16/45.35 tff(4097,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4098,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 72.16/45.35 tff(4099,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 72.16/45.35 tff(4100,plain,(
% 72.16/45.35 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.16/45.35 inference(skolemize,[status(sab)],[4099])).
% 72.16/45.35 tff(4101,plain,
% 72.16/45.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4100, 4096])).
% 72.16/45.35 tff(4102,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB21, bitIndex0) | (~v120(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB21, bitIndex0) | (~v120(constB21)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4103,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB21, bitIndex0) | (~v120(constB21)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4104,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB21, bitIndex0) | (~v120(constB21))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 72.16/45.35 tff(4105,plain,
% 72.16/45.35 (~v120(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4104, 4101, 3691])).
% 72.16/45.35 tff(4106,assumption,(~v90(constB22, bitIndex0)), introduced(assumption)).
% 72.16/45.35 tff(4107,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3996, 1443, 4106])).
% 72.16/45.35 tff(4108,plain,
% 72.16/45.35 (~v129(constB22, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4107, 4072])).
% 72.16/45.35 tff(4109,plain,
% 72.16/45.35 (~v127(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3989, 4108])).
% 72.16/45.35 tff(4110,plain,
% 72.16/45.35 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3983, 1413, 3031])).
% 72.16/45.35 tff(4111,plain,
% 72.16/45.35 (~v130(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4110, 4109])).
% 72.16/45.35 tff(4112,plain,
% 72.16/45.35 (~v122(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3089, 2079, 4036])).
% 72.16/45.35 tff(4113,plain,
% 72.16/45.35 (~v119(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3709, 582, 4036])).
% 72.16/45.35 tff(4114,assumption,(~v120(constB21)), introduced(assumption)).
% 72.16/45.35 tff(4115,assumption,(~v124(constB21)), introduced(assumption)).
% 72.16/45.35 tff(4116,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4117,plain,
% 72.16/45.35 ((v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0)) <=> (v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4118,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21)))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4117])).
% 72.16/45.35 tff(4119,plain,
% 72.16/45.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4118, 4116])).
% 72.16/45.35 tff(4120,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4121,plain,
% 72.16/45.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4120, 4119])).
% 72.16/45.35 tff(4122,plain,
% 72.16/45.35 (v130(constB21, bitIndex0) | v119(constB21) | v122(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4121, 1396, 4115, 3722, 3693, 4114])).
% 72.16/45.35 tff(4123,plain,
% 72.16/45.35 ($false),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4122, 4113, 4112, 3175])).
% 72.16/45.35 tff(4124,plain,(v130(constB21, bitIndex2) | v130(constB21, bitIndex0) | v124(constB21) | v123(constB21) | v121(constB21) | v120(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.35 tff(4125,plain,
% 72.16/45.35 (v123(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4124, 4111, 4105, 4094, 4092, 4089])).
% 72.16/45.35 tff(4126,plain,
% 72.16/45.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB21)) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4127,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4128,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB21)) | v130(constB21, bitIndex1)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 72.16/45.35 tff(4129,plain,
% 72.16/45.35 ($false),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4128, 976, 4125, 4078])).
% 72.16/45.35 tff(4130,plain,(v90(constB21, bitIndex0) | v122(constB23) | v90(constB22, bitIndex0) | v90(constB22, bitIndex2) | v90(constB22, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.35 tff(4131,plain,
% 72.16/45.35 (v90(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4130, 3258, 3678, 3689, 3687])).
% 72.16/45.35 tff(4132,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4133,plain,
% 72.16/45.35 (((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0)) <=> ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4134,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0)))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4133])).
% 72.16/45.35 tff(4135,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4134, 4132])).
% 72.16/45.35 tff(4136,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4137,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 72.16/45.35 tff(4138,plain,
% 72.16/45.35 ((~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4137, 1461, 3046])).
% 72.16/45.35 tff(4139,plain,
% 72.16/45.35 (v100(constB22)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4138, 4131, 3678])).
% 72.16/45.35 tff(4140,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3106, 626, 3689])).
% 72.16/45.35 tff(4141,plain,
% 72.16/45.35 (~v129(constB22, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4140, 4139])).
% 72.16/45.35 tff(4142,plain,
% 72.16/45.35 (~v127(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3099, 4141])).
% 72.16/45.35 tff(4143,plain,
% 72.16/45.35 (~v130(constB21, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3094, 4142])).
% 72.16/45.35 tff(4144,plain,
% 72.16/45.35 (~v122(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3089, 2079, 4143])).
% 72.16/45.35 tff(4145,plain,
% 72.16/45.35 (~v119(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3781, 3665, 4131])).
% 72.16/45.35 tff(4146,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex1)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4019, 1020, 3687])).
% 72.16/45.35 tff(4147,plain,
% 72.16/45.35 (~v129(constB22, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4146, 4139])).
% 72.16/45.35 tff(4148,plain,
% 72.16/45.35 (~v127(constB21, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4012, 4147])).
% 72.16/45.35 tff(4149,plain,
% 72.16/45.35 (~v130(constB21, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4077, 4148])).
% 72.16/45.35 tff(4150,plain,
% 72.16/45.35 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB21)) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4151,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4152,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB21)) | v130(constB21, bitIndex1)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4151, 4150])).
% 72.16/45.35 tff(4153,plain,
% 72.16/45.35 (~v120(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4152, 1649, 4149])).
% 72.16/45.35 tff(4154,plain,
% 72.16/45.35 (~v121(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4028, 4141, 3031, 3258])).
% 72.16/45.35 tff(4155,plain,
% 72.16/45.35 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 72.16/45.35 inference(bind,[status(th)],[])).
% 72.16/45.35 tff(4156,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.16/45.35 inference(quant_intro,[status(thm)],[4155])).
% 72.16/45.35 tff(4157,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4158,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 72.16/45.35 tff(4159,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 72.16/45.35 tff(4160,plain,(
% 72.16/45.35 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.16/45.35 inference(skolemize,[status(sab)],[4159])).
% 72.16/45.35 tff(4161,plain,
% 72.16/45.35 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4160, 4156])).
% 72.16/45.35 tff(4162,plain,
% 72.16/45.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB21, bitIndex0)) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB21, bitIndex0)) | (~v123(constB21)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4163,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB21, bitIndex0)) | (~v123(constB21)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4164,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB21, bitIndex0)) | (~v123(constB21))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 72.16/45.35 tff(4165,plain,
% 72.16/45.35 (~v123(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4164, 4161, 4131])).
% 72.16/45.35 tff(4166,plain,
% 72.16/45.35 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB21)) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4167,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB21)) | v130(constB21, bitIndex1))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4168,plain,
% 72.16/45.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB21)) | v130(constB21, bitIndex1)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 72.16/45.35 tff(4169,plain,
% 72.16/45.35 (~v124(constB21)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4168, 3556, 4149])).
% 72.16/45.35 tff(4170,plain,
% 72.16/45.35 ((~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3996, 1443, 3678])).
% 72.16/45.35 tff(4171,plain,
% 72.16/45.35 (~v129(constB22, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4170, 4139])).
% 72.16/45.35 tff(4172,plain,
% 72.16/45.35 (~v127(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[3989, 4171])).
% 72.16/45.35 tff(4173,plain,
% 72.16/45.35 (~v130(constB21, bitIndex0)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4110, 4172])).
% 72.16/45.35 tff(4174,plain,
% 72.16/45.35 ($false),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4121, 1396, 4173, 4169, 4165, 4154, 4153, 4145, 4144])).
% 72.16/45.35 tff(4175,plain,(v90(constB23, bitIndex1) | v90(constB24, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.35 tff(4176,plain,
% 72.16/45.35 (v90(constB24, bitIndex1)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4175, 3169])).
% 72.16/45.35 tff(4177,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4178,plain,
% 72.16/45.35 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))) <=> (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4179,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4178])).
% 72.16/45.35 tff(4180,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4179, 4177])).
% 72.16/45.35 tff(4181,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4182,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 72.16/45.35 tff(4183,plain,
% 72.16/45.35 (v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4182, 341, 3241])).
% 72.16/45.35 tff(4184,plain,
% 72.16/45.35 (v100(constB24)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4183, 3169, 4176])).
% 72.16/45.35 tff(4185,plain,
% 72.16/45.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4186,plain,
% 72.16/45.35 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4187,plain,
% 72.16/45.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4186])).
% 72.16/45.35 tff(4188,plain,
% 72.16/45.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4187, 4185])).
% 72.16/45.35 tff(4189,plain,
% 72.16/45.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4190,plain,
% 72.16/45.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 72.16/45.35 tff(4191,plain,
% 72.16/45.35 (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4190, 626, 4184])).
% 72.16/45.35 tff(4192,plain,
% 72.16/45.35 (v90(constB24, bitIndex2)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4191, 3246])).
% 72.16/45.35 tff(4193,plain,
% 72.16/45.35 ((~v1(constB25)) <=> (~v1(constB25))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4194,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 72.16/45.35 tff(4195,plain,
% 72.16/45.35 (~v1(constB25)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 72.16/45.35 tff(4196,plain,
% 72.16/45.35 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4197,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 72.16/45.35 tff(4198,plain,
% 72.16/45.35 (nextState(constB24, constB25)),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 72.16/45.35 tff(4199,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4200,plain,
% 72.16/45.35 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4201,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 72.16/45.35 inference(monotonicity,[status(thm)],[4200])).
% 72.16/45.35 tff(4202,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.16/45.35 inference(transitivity,[status(thm)],[4201, 4199])).
% 72.16/45.35 tff(4203,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4204,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 72.16/45.35 tff(4205,plain,
% 72.16/45.35 (~v101(constB25)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4204, 288, 4198, 4195])).
% 72.16/45.35 tff(4206,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4207,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 72.16/45.35 inference(quant_inst,[status(thm)],[])).
% 72.16/45.35 tff(4208,plain,
% 72.16/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 72.16/45.35 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 72.16/45.35 tff(4209,plain,
% 72.16/45.35 (v101(constB25) | (~v100(constB25))),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4208, 305, 4198])).
% 72.16/45.35 tff(4210,plain,
% 72.16/45.35 (~v100(constB25)),
% 72.16/45.35 inference(unit_resolution,[status(thm)],[4209, 4205])).
% 72.16/45.35 tff(4211,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4212,plain,
% 72.16/45.35 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.16/45.35 inference(rewrite,[status(thm)],[])).
% 72.16/45.35 tff(4213,plain,
% 72.16/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4212])).
% 72.16/45.36 tff(4214,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4213, 4211])).
% 72.16/45.36 tff(4215,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4216,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 72.16/45.36 tff(4217,plain,
% 72.16/45.36 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4216, 662, 4198])).
% 72.16/45.36 tff(4218,plain,
% 72.16/45.36 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4217, 4210])).
% 72.16/45.36 tff(4219,plain,
% 72.16/45.36 (v90(constB25, bitIndex2)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4218, 4192])).
% 72.16/45.36 tff(4220,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4221,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4220])).
% 72.16/45.36 tff(4222,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4223,plain,
% 72.16/45.36 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4224,plain,
% 72.16/45.36 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4223])).
% 72.16/45.36 tff(4225,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 72.16/45.36 tff(4226,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 72.16/45.36 tff(4227,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4226, 4222])).
% 72.16/45.36 tff(4228,plain,(
% 72.16/45.36 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4227])).
% 72.16/45.36 tff(4229,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4228, 4221])).
% 72.16/45.36 tff(4230,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4231,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4232,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 72.16/45.36 tff(4233,plain,
% 72.16/45.36 (v88(constB25, bitIndex2)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4232, 4229, 4219])).
% 72.16/45.36 tff(4234,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4235,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4236,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 72.16/45.36 tff(4237,plain,
% 72.16/45.36 (~v130(constB23, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4236, 1057, 3225])).
% 72.16/45.36 tff(4238,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4239,plain,
% 72.16/45.36 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4240,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4239])).
% 72.16/45.36 tff(4241,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4240, 4238])).
% 72.16/45.36 tff(4242,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4243,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 72.16/45.36 tff(4244,plain,
% 72.16/45.36 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4243, 769, 3233])).
% 72.16/45.36 tff(4245,plain,
% 72.16/45.36 (~v127(constB23, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4244, 4237])).
% 72.16/45.36 tff(4246,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4247,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4248,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4247, 4246])).
% 72.16/45.36 tff(4249,plain,
% 72.16/45.36 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4248, 787, 3241])).
% 72.16/45.36 tff(4250,plain,
% 72.16/45.36 (~v129(constB24, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4249, 4245])).
% 72.16/45.36 tff(4251,plain,
% 72.16/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4252,plain,
% 72.16/45.36 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4253,plain,
% 72.16/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4252])).
% 72.16/45.36 tff(4254,plain,
% 72.16/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4253, 4251])).
% 72.16/45.36 tff(4255,plain,
% 72.16/45.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4256,plain,
% 72.16/45.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 72.16/45.36 tff(4257,plain,
% 72.16/45.36 ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4256, 802, 4184])).
% 72.16/45.36 tff(4258,plain,
% 72.16/45.36 (~v90(constB24, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4257, 4250])).
% 72.16/45.36 tff(4259,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4260,plain,
% 72.16/45.36 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4261,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4260])).
% 72.16/45.36 tff(4262,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4261, 4259])).
% 72.16/45.36 tff(4263,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4264,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 72.16/45.36 tff(4265,plain,
% 72.16/45.36 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4264, 362, 4198])).
% 72.16/45.36 tff(4266,plain,
% 72.16/45.36 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4265, 4210])).
% 72.16/45.36 tff(4267,plain,
% 72.16/45.36 (~v90(constB25, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4266, 4258])).
% 72.16/45.36 tff(4268,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4269,plain,
% 72.16/45.36 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4268])).
% 72.16/45.36 tff(4270,plain,
% 72.16/45.36 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4271,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 72.16/45.36 tff(4272,plain,
% 72.16/45.36 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 72.16/45.36 tff(4273,plain,(
% 72.16/45.36 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4272])).
% 72.16/45.36 tff(4274,plain,
% 72.16/45.36 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4273, 4269])).
% 72.16/45.36 tff(4275,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4276,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4277,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 72.16/45.36 tff(4278,plain,
% 72.16/45.36 (~v88(constB25, bitIndex0)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4277, 4274, 4267])).
% 72.16/45.36 tff(4279,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4280,plain,
% 72.16/45.36 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4281,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4280])).
% 72.16/45.36 tff(4282,plain,
% 72.16/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4281, 4279])).
% 72.16/45.36 tff(4283,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4284,plain,
% 72.16/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4283, 4282])).
% 72.16/45.36 tff(4285,plain,
% 72.16/45.36 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4284, 1038, 4198])).
% 72.16/45.36 tff(4286,plain,
% 72.16/45.36 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4285, 4210])).
% 72.16/45.36 tff(4287,plain,
% 72.16/45.36 (v90(constB25, bitIndex1)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4286, 4176])).
% 72.16/45.36 tff(4288,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4289,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4288])).
% 72.16/45.36 tff(4290,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4291,plain,
% 72.16/45.36 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4292,plain,
% 72.16/45.36 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4291])).
% 72.16/45.36 tff(4293,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 72.16/45.36 tff(4294,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 72.16/45.36 tff(4295,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4294, 4290])).
% 72.16/45.36 tff(4296,plain,(
% 72.16/45.36 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4295])).
% 72.16/45.36 tff(4297,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4296, 4289])).
% 72.16/45.36 tff(4298,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4299,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4300,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 72.16/45.36 tff(4301,plain,
% 72.16/45.36 (v88(constB25, bitIndex1)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4300, 4297, 4287])).
% 72.16/45.36 tff(4302,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4303,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4302])).
% 72.16/45.36 tff(4304,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4305,plain,
% 72.16/45.36 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4306,plain,
% 72.16/45.36 (![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4305])).
% 72.16/45.36 tff(4307,axiom,(![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 72.16/45.36 tff(4308,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 72.16/45.36 tff(4309,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4308, 4304])).
% 72.16/45.36 tff(4310,plain,(
% 72.16/45.36 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4309])).
% 72.16/45.36 tff(4311,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4310, 4303])).
% 72.16/45.36 tff(4312,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4313,plain,
% 72.16/45.36 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4314,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)))),
% 72.16/45.36 inference(monotonicity,[status(thm)],[4313])).
% 72.16/45.36 tff(4315,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 72.16/45.36 inference(transitivity,[status(thm)],[4314, 4312])).
% 72.16/45.36 tff(4316,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4317,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 72.16/45.36 tff(4318,plain,
% 72.16/45.36 ((~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4317, 4311, 4301])).
% 72.16/45.36 tff(4319,plain,
% 72.16/45.36 (v144(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4318, 4278, 4233])).
% 72.16/45.36 tff(4320,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v144(VarCurr))) <=> (v142(VarCurr) | (~v144(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4321,plain,
% 72.16/45.36 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4320])).
% 72.16/45.36 tff(4322,plain,
% 72.16/45.36 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4323,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 72.16/45.36 tff(4324,plain,
% 72.16/45.36 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 72.16/45.36 tff(4325,plain,(
% 72.16/45.36 ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4324])).
% 72.16/45.36 tff(4326,plain,
% 72.16/45.36 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4325, 4321])).
% 72.16/45.36 tff(4327,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4328,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4329,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 72.16/45.36 tff(4330,plain,
% 72.16/45.36 (v142(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4329, 4326, 4319])).
% 72.16/45.36 tff(4331,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v142(VarCurr))) <=> (v167(VarCurr) | (~v142(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4332,plain,
% 72.16/45.36 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4331])).
% 72.16/45.36 tff(4333,plain,
% 72.16/45.36 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4334,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 72.16/45.36 tff(4335,plain,
% 72.16/45.36 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 72.16/45.36 tff(4336,plain,(
% 72.16/45.36 ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4335])).
% 72.16/45.36 tff(4337,plain,
% 72.16/45.36 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4336, 4332])).
% 72.16/45.36 tff(4338,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB25) | (~v142(constB25)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4339,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB25) | (~v142(constB25)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4340,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB25) | (~v142(constB25))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4339, 4338])).
% 72.16/45.36 tff(4341,plain,
% 72.16/45.36 (v167(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4340, 4337, 4330])).
% 72.16/45.36 tff(4342,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl(((~v167(VarCurr)) | (~v170(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4343,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4342])).
% 72.16/45.36 tff(4344,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4345,plain,
% 72.16/45.36 (^[VarCurr: $i] : rewrite(((~v170(VarCurr)) | (~v167(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4346,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v167(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4345])).
% 72.16/45.36 tff(4347,axiom,(![VarCurr: $i] : ((~v170(VarCurr)) | (~v167(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 72.16/45.36 tff(4348,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 72.16/45.36 tff(4349,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4348, 4344])).
% 72.16/45.36 tff(4350,plain,(
% 72.16/45.36 ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4349])).
% 72.16/45.36 tff(4351,plain,
% 72.16/45.36 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4350, 4343])).
% 72.16/45.36 tff(4352,plain,
% 72.16/45.36 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4353,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4354,plain,
% 72.16/45.36 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 72.16/45.36 tff(4355,plain,
% 72.16/45.36 (~v170(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4354, 4351, 4341])).
% 72.16/45.36 tff(4356,plain,
% 72.16/45.36 (^[VarCurr: $i] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4357,plain,
% 72.16/45.36 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4356])).
% 72.16/45.36 tff(4358,plain,
% 72.16/45.36 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4359,axiom,(![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 72.16/45.36 tff(4360,plain,
% 72.16/45.36 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 72.16/45.36 tff(4361,plain,(
% 72.16/45.36 ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 72.16/45.36 inference(skolemize,[status(sab)],[4360])).
% 72.16/45.36 tff(4362,plain,
% 72.16/45.36 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4361, 4357])).
% 72.16/45.36 tff(4363,plain,
% 72.16/45.36 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4364,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))),
% 72.16/45.36 inference(quant_inst,[status(thm)],[])).
% 72.16/45.36 tff(4365,plain,
% 72.16/45.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25))),
% 72.16/45.36 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 72.16/45.36 tff(4366,plain,
% 72.16/45.36 (v166(constB25)),
% 72.16/45.36 inference(unit_resolution,[status(thm)],[4365, 4362, 4341])).
% 72.16/45.36 tff(4367,plain,
% 72.16/45.36 (^[VarNext: $i] : refl(((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4368,plain,
% 72.16/45.36 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.36 inference(quant_intro,[status(thm)],[4367])).
% 72.16/45.36 tff(4369,plain,
% 72.16/45.36 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.36 inference(rewrite,[status(thm)],[])).
% 72.16/45.36 tff(4370,plain,
% 72.16/45.36 (^[VarNext: $i] : rewrite(((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 72.16/45.36 inference(bind,[status(th)],[])).
% 72.16/45.36 tff(4371,plain,
% 72.16/45.36 (![VarNext: $i] : ((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4370])).
% 72.16/45.37 tff(4372,axiom,(![VarNext: $i] : ((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 72.16/45.37 tff(4373,plain,
% 72.16/45.37 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 72.16/45.37 tff(4374,plain,
% 72.16/45.37 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4373, 4369])).
% 72.16/45.37 tff(4375,plain,(
% 72.16/45.37 ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4374])).
% 72.16/45.37 tff(4376,plain,
% 72.16/45.37 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4375, 4368])).
% 72.16/45.37 tff(4377,plain,
% 72.16/45.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4378,plain,
% 72.16/45.37 (((~v166(constB25)) | v170(constB25) | (~v163(constB25))) <=> ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4379,plain,
% 72.16/45.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25)))),
% 72.16/45.37 inference(monotonicity,[status(thm)],[4378])).
% 72.16/45.37 tff(4380,plain,
% 72.16/45.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 72.16/45.37 inference(transitivity,[status(thm)],[4379, 4377])).
% 72.16/45.37 tff(4381,plain,
% 72.16/45.37 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4382,plain,
% 72.16/45.37 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4381, 4380])).
% 72.16/45.37 tff(4383,plain,
% 72.16/45.37 (~v163(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4382, 4376, 4366, 4355])).
% 72.16/45.37 tff(4384,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v163(VarCurr) | (~v201(VarCurr))) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4385,plain,
% 72.16/45.37 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4384])).
% 72.16/45.37 tff(4386,plain,
% 72.16/45.37 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4387,axiom,(![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_3')).
% 72.16/45.37 tff(4388,plain,
% 72.16/45.37 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 72.16/45.37 tff(4389,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4388])).
% 72.16/45.37 tff(4390,plain,
% 72.16/45.37 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4389, 4385])).
% 72.16/45.37 tff(4391,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4392,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4393,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 72.16/45.37 tff(4394,plain,
% 72.16/45.37 (~v201(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4393, 4390, 4383])).
% 72.16/45.37 tff(4395,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v201(VarCurr) | (~v200(VarCurr))) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4396,plain,
% 72.16/45.37 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4395])).
% 72.16/45.37 tff(4397,plain,
% 72.16/45.37 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4398,axiom,(![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 72.16/45.37 tff(4399,plain,
% 72.16/45.37 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 72.16/45.37 tff(4400,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4399])).
% 72.16/45.37 tff(4401,plain,
% 72.16/45.37 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4400, 4396])).
% 72.16/45.37 tff(4402,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4403,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4404,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 72.16/45.37 tff(4405,plain,
% 72.16/45.37 (~v200(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4404, 4401, 4394])).
% 72.16/45.37 tff(4406,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v198(VarCurr))) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4407,plain,
% 72.16/45.37 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4406])).
% 72.16/45.37 tff(4408,plain,
% 72.16/45.37 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4409,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 72.16/45.37 tff(4410,plain,
% 72.16/45.37 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 72.16/45.37 tff(4411,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4410])).
% 72.16/45.37 tff(4412,plain,
% 72.16/45.37 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4411, 4407])).
% 72.16/45.37 tff(4413,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4414,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4415,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 72.16/45.37 tff(4416,plain,
% 72.16/45.37 (~v198(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4415, 4412, 4405])).
% 72.16/45.37 tff(4417,assumption,(v18(constB26)), introduced(assumption)).
% 72.16/45.37 tff(4418,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB26))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4419,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4418, 58, 4417])).
% 72.16/45.37 tff(4420,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4421,plain,
% 72.16/45.37 (v1(constB26) <=> v1(constB26)),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4422,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 72.16/45.37 tff(4423,plain,
% 72.16/45.37 (v1(constB26)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 72.16/45.37 tff(4424,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4425,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4426,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4425, 4424])).
% 72.16/45.37 tff(4427,plain,
% 72.16/45.37 (v22(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4426, 71, 4423])).
% 72.16/45.37 tff(4428,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4429,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4430,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 72.16/45.37 tff(4431,plain,
% 72.16/45.37 ((~v19(constB26)) | v18(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4430, 85, 4427])).
% 72.16/45.37 tff(4432,plain,
% 72.16/45.37 (~v19(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4431, 4420])).
% 72.16/45.37 tff(4433,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4434,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4435,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4434, 4433])).
% 72.16/45.37 tff(4436,plain,
% 72.16/45.37 (v13(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4435, 100, 4432])).
% 72.16/45.37 tff(4437,plain,
% 72.16/45.37 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4438,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 72.16/45.37 tff(4439,plain,
% 72.16/45.37 (nextState(constB25, constB26)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 72.16/45.37 tff(4440,plain,
% 72.16/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4441,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4442,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 72.16/45.37 tff(4443,plain,
% 72.16/45.37 ((~v13(constB26)) | v9(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4442, 117, 4439])).
% 72.16/45.37 tff(4444,plain,
% 72.16/45.37 (v9(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4443, 4436])).
% 72.16/45.37 tff(4445,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4446,plain,
% 72.16/45.37 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4445])).
% 72.16/45.37 tff(4447,plain,
% 72.16/45.37 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4448,plain,
% 72.16/45.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v197(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v197(VarCurr))), (((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v197(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v197(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))), (((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4449,plain,
% 72.16/45.37 (![VarCurr: $i] : ((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4448])).
% 72.16/45.37 tff(4450,axiom,(![VarCurr: $i] : ((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 72.16/45.37 tff(4451,plain,
% 72.16/45.37 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 72.16/45.37 tff(4452,plain,
% 72.16/45.37 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4451, 4447])).
% 72.16/45.37 tff(4453,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4452])).
% 72.16/45.37 tff(4454,plain,
% 72.16/45.37 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4453, 4446])).
% 72.16/45.37 tff(4455,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4456,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4457,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 72.16/45.37 tff(4458,plain,
% 72.16/45.37 ((~v9(constB25)) | v197(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4457, 4454, 4195])).
% 72.16/45.37 tff(4459,plain,
% 72.16/45.37 (v197(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4458, 4444])).
% 72.16/45.37 tff(4460,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v196(VarCurr) | (~v197(VarCurr))) <=> (v196(VarCurr) | (~v197(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4461,plain,
% 72.16/45.37 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4460])).
% 72.16/45.37 tff(4462,plain,
% 72.16/45.37 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4463,axiom,(![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 72.16/45.37 tff(4464,plain,
% 72.16/45.37 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 72.16/45.37 tff(4465,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4464])).
% 72.16/45.37 tff(4466,plain,
% 72.16/45.37 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4465, 4461])).
% 72.16/45.37 tff(4467,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB25) | (~v197(constB25)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB25) | (~v197(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4468,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB25) | (~v197(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4469,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB25) | (~v197(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 72.16/45.37 tff(4470,plain,
% 72.16/45.37 (v196(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4469, 4466, 4459])).
% 72.16/45.37 tff(4471,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl(((~v196(VarCurr)) | (~v194(VarCurr))) <=> ((~v196(VarCurr)) | (~v194(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4472,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr))) <=> ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4471])).
% 72.16/45.37 tff(4473,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr))) <=> ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4474,axiom,(![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 72.16/45.37 tff(4475,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 72.16/45.37 tff(4476,plain,(
% 72.16/45.37 ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4475])).
% 72.16/45.37 tff(4477,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4476, 4472])).
% 72.16/45.37 tff(4478,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB25)) | (~v194(constB25)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB25)) | (~v194(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4479,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB25)) | (~v194(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4480,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB25)) | (~v194(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 72.16/45.37 tff(4481,plain,
% 72.16/45.37 (~v194(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4480, 4477, 4470])).
% 72.16/45.37 tff(4482,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4483,plain,
% 72.16/45.37 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4482])).
% 72.16/45.37 tff(4484,plain,
% 72.16/45.37 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4485,plain,
% 72.16/45.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v198(VarCurr) | v194(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr))), (((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> ((v194(VarCurr) | v198(VarCurr)) | (~v191(VarCurr))))), rewrite(((v194(VarCurr) | v198(VarCurr)) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))), (((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4486,plain,
% 72.16/45.37 (![VarCurr: $i] : ((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4485])).
% 72.16/45.37 tff(4487,axiom,(![VarCurr: $i] : ((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_3')).
% 72.16/45.37 tff(4488,plain,
% 72.16/45.37 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 72.16/45.37 tff(4489,plain,
% 72.16/45.37 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4488, 4484])).
% 72.16/45.37 tff(4490,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4489])).
% 72.16/45.37 tff(4491,plain,
% 72.16/45.37 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4490, 4483])).
% 72.16/45.37 tff(4492,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4493,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4494,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4493, 4492])).
% 72.16/45.37 tff(4495,plain,
% 72.16/45.37 (v198(constB25) | (~v191(constB25))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4494, 4491, 4481])).
% 72.16/45.37 tff(4496,plain,
% 72.16/45.37 (~v191(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4495, 4416])).
% 72.16/45.37 tff(4497,plain,
% 72.16/45.37 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4498,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4497])).
% 72.16/45.37 tff(4499,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4500,plain,
% 72.16/45.37 (^[VarNext: $i, VarCurr: $i] : rewrite(((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4501,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4500])).
% 72.16/45.37 tff(4502,axiom,(![VarNext: $i, VarCurr: $i] : ((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_12_1_2')).
% 72.16/45.37 tff(4503,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 72.16/45.37 tff(4504,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4503, 4499])).
% 72.16/45.37 tff(4505,plain,(
% 72.16/45.37 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4504])).
% 72.16/45.37 tff(4506,plain,
% 72.16/45.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4505, 4498])).
% 72.16/45.37 tff(4507,plain,
% 72.16/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4508,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4509,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4508, 4507])).
% 72.16/45.37 tff(4510,plain,
% 72.16/45.37 (v191(constB25) | (~v193(constB26))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4509, 4506, 4439])).
% 72.16/45.37 tff(4511,plain,
% 72.16/45.37 (~v193(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4510, 4496])).
% 72.16/45.37 tff(4512,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v193(VarCurr) | (~v194(VarCurr))) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4513,plain,
% 72.16/45.37 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4512])).
% 72.16/45.37 tff(4514,plain,
% 72.16/45.37 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4515,axiom,(![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 72.16/45.37 tff(4516,plain,
% 72.16/45.37 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 72.16/45.37 tff(4517,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4516])).
% 72.16/45.37 tff(4518,plain,
% 72.16/45.37 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4517, 4513])).
% 72.16/45.37 tff(4519,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4520,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4521,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 72.16/45.37 tff(4522,plain,
% 72.16/45.37 (~v194(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4521, 4518, 4511])).
% 72.16/45.37 tff(4523,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v197(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4524,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4523])).
% 72.16/45.37 tff(4525,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4526,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 72.16/45.37 tff(4527,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 72.16/45.37 tff(4528,plain,(
% 72.16/45.37 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4527])).
% 72.16/45.37 tff(4529,plain,
% 72.16/45.37 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4528, 4524])).
% 72.16/45.37 tff(4530,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4531,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4532,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 72.16/45.37 tff(4533,plain,
% 72.16/45.37 (~v197(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4532, 4529, 4423])).
% 72.16/45.37 tff(4534,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v200(VarCurr))) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4535,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4534])).
% 72.16/45.37 tff(4536,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4537,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 72.16/45.37 tff(4538,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 72.16/45.37 tff(4539,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4538])).
% 72.16/45.37 tff(4540,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4539, 4535])).
% 72.16/45.37 tff(4541,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4542,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4543,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 72.16/45.37 tff(4544,plain,
% 72.16/45.37 (~v200(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4543, 4540, 4533])).
% 72.16/45.37 tff(4545,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4546,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4547,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 72.16/45.37 tff(4548,plain,
% 72.16/45.37 (~v198(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4547, 4412, 4544])).
% 72.16/45.37 tff(4549,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4550,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4551,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 72.16/45.37 tff(4552,plain,
% 72.16/45.37 (v194(constB26) | (~v191(constB26))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4551, 4491, 4548])).
% 72.16/45.37 tff(4553,plain,
% 72.16/45.37 (~v191(constB26)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4552, 4522])).
% 72.16/45.37 tff(4554,plain,
% 72.16/45.37 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4555,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 72.16/45.37 tff(4556,plain,
% 72.16/45.37 (nextState(constB26, constB27)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 72.16/45.37 tff(4557,plain,
% 72.16/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4558,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4559,plain,
% 72.16/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 72.16/45.37 tff(4560,plain,
% 72.16/45.37 (v191(constB26) | (~v193(constB27))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4559, 4506, 4556])).
% 72.16/45.37 tff(4561,plain,
% 72.16/45.37 (~v193(constB27)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4560, 4553])).
% 72.16/45.37 tff(4562,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4561, 18])).
% 72.16/45.37 tff(4563,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4564,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 72.16/45.37 tff(4565,plain,
% 72.16/45.37 (v1(constB154) <=> v1(sK0_VarCurr)),
% 72.16/45.37 inference(monotonicity,[status(thm)],[4564])).
% 72.16/45.37 tff(4566,plain,
% 72.16/45.37 (v1(sK0_VarCurr) <=> v1(constB154)),
% 72.16/45.37 inference(symmetry,[status(thm)],[4565])).
% 72.16/45.37 tff(4567,plain,
% 72.16/45.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 72.16/45.37 inference(monotonicity,[status(thm)],[4566])).
% 72.16/45.37 tff(4568,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4569,plain,
% 72.16/45.37 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4568])).
% 72.16/45.37 tff(4570,plain,
% 72.16/45.37 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4571,axiom,(![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_1')).
% 72.16/45.37 tff(4572,plain,
% 72.16/45.37 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 72.16/45.37 tff(4573,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4572])).
% 72.16/45.37 tff(4574,plain,
% 72.16/45.37 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4573, 4569])).
% 72.16/45.37 tff(4575,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4576,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4577,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 72.16/45.37 tff(4578,plain,
% 72.16/45.37 (v206(sK0_VarCurr)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4577, 4574, 6])).
% 72.16/45.37 tff(4579,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4580,plain,
% 72.16/45.37 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4579])).
% 72.16/45.37 tff(4581,plain,
% 72.16/45.37 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4582,axiom,(![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1_1')).
% 72.16/45.37 tff(4583,plain,
% 72.16/45.37 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 72.16/45.37 tff(4584,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4583])).
% 72.16/45.37 tff(4585,plain,
% 72.16/45.37 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4584, 4580])).
% 72.16/45.37 tff(4586,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4587,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4588,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 72.16/45.37 tff(4589,plain,
% 72.16/45.37 (v207(sK0_VarCurr)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4588, 4585, 4578])).
% 72.16/45.37 tff(4590,plain,
% 72.16/45.37 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v207(VarCurr))) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 72.16/45.37 inference(bind,[status(th)],[])).
% 72.16/45.37 tff(4591,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 72.16/45.37 inference(quant_intro,[status(thm)],[4590])).
% 72.16/45.37 tff(4592,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4593,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_1')).
% 72.16/45.37 tff(4594,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 72.16/45.37 tff(4595,plain,(
% 72.16/45.37 ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 72.16/45.37 inference(skolemize,[status(sab)],[4594])).
% 72.16/45.37 tff(4596,plain,
% 72.16/45.37 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4595, 4591])).
% 72.16/45.37 tff(4597,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4598,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4599,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 72.16/45.37 tff(4600,plain,
% 72.16/45.37 (v197(sK0_VarCurr)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4599, 4596, 4589])).
% 72.16/45.37 tff(4601,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4602,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4603,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 72.16/45.37 tff(4604,plain,
% 72.16/45.37 (~v1(sK0_VarCurr)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4603, 4529, 4600])).
% 72.16/45.37 tff(4605,plain,
% 72.16/45.37 (~v1(constB154)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4604, 4567])).
% 72.16/45.37 tff(4606,plain,
% 72.16/45.37 (v1(constB154) <=> v1(constB154)),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4607,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 72.16/45.37 tff(4608,plain,
% 72.16/45.37 (v1(constB154)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 72.16/45.37 tff(4609,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4608, 4605])).
% 72.16/45.37 tff(4610,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4611,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 72.16/45.37 tff(4612,plain,
% 72.16/45.37 (v193(constB75) <=> v193(sK0_VarCurr)),
% 72.16/45.37 inference(monotonicity,[status(thm)],[4611])).
% 72.16/45.37 tff(4613,plain,
% 72.16/45.37 (v193(sK0_VarCurr) <=> v193(constB75)),
% 72.16/45.37 inference(symmetry,[status(thm)],[4612])).
% 72.16/45.37 tff(4614,plain,
% 72.16/45.37 (v193(constB75)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[17, 4613])).
% 72.16/45.37 tff(4615,assumption,(v26(constB63)), introduced(assumption)).
% 72.16/45.37 tff(4616,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4617,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4616, 26, 4615])).
% 72.16/45.37 tff(4618,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4619,assumption,(v26(constB43)), introduced(assumption)).
% 72.16/45.37 tff(4620,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4621,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4620, 26, 4619])).
% 72.16/45.37 tff(4622,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4623,assumption,(v26(constB41)), introduced(assumption)).
% 72.16/45.37 tff(4624,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4625,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4624, 26, 4623])).
% 72.16/45.37 tff(4626,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4627,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4628,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4629,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 72.16/45.37 tff(4630,plain,
% 72.16/45.37 (~v123(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4629, 1218, 4287])).
% 72.16/45.37 tff(4631,assumption,(v123(constB23)), introduced(assumption)).
% 72.16/45.37 tff(4632,plain,
% 72.16/45.37 (v115(constB23)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3645, 840, 4631])).
% 72.16/45.37 tff(4633,plain,
% 72.16/45.37 (v114(constB23)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3316, 438, 4632])).
% 72.16/45.37 tff(4634,plain,
% 72.16/45.37 (v113(constB23)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3312, 449, 4633])).
% 72.16/45.37 tff(4635,plain,
% 72.16/45.37 (v112(constB23)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3308, 4634])).
% 72.16/45.37 tff(4636,plain,
% 72.16/45.37 (v108(constB23)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3303, 475, 4635])).
% 72.16/45.37 tff(4637,plain,
% 72.16/45.37 (v110(constB24)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3299, 4636])).
% 72.16/45.37 tff(4638,plain,
% 72.16/45.37 (v100(constB24)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3291, 4637])).
% 72.16/45.37 tff(4639,plain,
% 72.16/45.37 (v130(constB23, bitIndex2)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3228, 917, 4631])).
% 72.16/45.37 tff(4640,plain,
% 72.16/45.37 (v127(constB23, bitIndex2)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3237, 4639])).
% 72.16/45.37 tff(4641,plain,
% 72.16/45.37 (v129(constB24, bitIndex2)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3245, 4640])).
% 72.16/45.37 tff(4642,plain,
% 72.16/45.37 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4190, 626, 4641])).
% 72.16/45.37 tff(4643,plain,
% 72.16/45.37 (v90(constB24, bitIndex2)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4642, 4638])).
% 72.16/45.37 tff(4644,plain,
% 72.16/45.37 (v90(constB25, bitIndex2)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4218, 4643])).
% 72.16/45.37 tff(4645,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4646,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4647,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 72.16/45.37 tff(4648,plain,
% 72.16/45.37 (~v121(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4647, 1182, 4644])).
% 72.16/45.37 tff(4649,assumption,(~v123(constB25)), introduced(assumption)).
% 72.16/45.37 tff(4650,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4651,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4652,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 72.16/45.37 tff(4653,plain,
% 72.16/45.37 (~v122(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4652, 1193, 4644])).
% 72.16/45.37 tff(4654,plain,
% 72.16/45.37 (v130(constB23, bitIndex1)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3655, 976, 4631])).
% 72.16/45.37 tff(4655,plain,
% 72.16/45.37 (v127(constB23, bitIndex1)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3428, 4654])).
% 72.16/45.37 tff(4656,plain,
% 72.16/45.37 (v129(constB24, bitIndex1)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3423, 4655])).
% 72.16/45.37 tff(4657,plain,
% 72.16/45.37 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[3417, 1020, 4656])).
% 72.16/45.37 tff(4658,plain,
% 72.16/45.37 (v90(constB24, bitIndex1)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4657, 4638])).
% 72.16/45.37 tff(4659,plain,
% 72.16/45.37 (v90(constB25, bitIndex1)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4286, 4658])).
% 72.16/45.37 tff(4660,plain,
% 72.16/45.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4661,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4662,plain,
% 72.16/45.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 72.16/45.37 tff(4663,plain,
% 72.16/45.37 (~v119(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4662, 1207, 4659])).
% 72.16/45.37 tff(4664,assumption,(~v120(constB27)), introduced(assumption)).
% 72.16/45.37 tff(4665,plain,
% 72.16/45.37 (~v130(constB23, bitIndex0)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4236, 1057, 4631])).
% 72.16/45.37 tff(4666,plain,
% 72.16/45.37 (~v127(constB23, bitIndex0)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4244, 4665])).
% 72.16/45.37 tff(4667,plain,
% 72.16/45.37 (~v129(constB24, bitIndex0)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4249, 4666])).
% 72.16/45.37 tff(4668,plain,
% 72.16/45.37 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4256, 802, 4667])).
% 72.16/45.37 tff(4669,plain,
% 72.16/45.37 (~v90(constB24, bitIndex0)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4668, 4638])).
% 72.16/45.37 tff(4670,plain,
% 72.16/45.37 (~v90(constB25, bitIndex0)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4266, 4669])).
% 72.16/45.37 tff(4671,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4672,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4673,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 72.16/45.37 tff(4674,plain,
% 72.16/45.37 (v125(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4673, 1101, 4670, 4659, 4644])).
% 72.16/45.37 tff(4675,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4676,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4677,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 72.16/45.37 tff(4678,plain,
% 72.16/45.37 (v113(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4677, 1112, 4674])).
% 72.16/45.37 tff(4679,assumption,(v26(constB25)), introduced(assumption)).
% 72.16/45.37 tff(4680,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4681,plain,
% 72.16/45.37 ($false),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4680, 26, 4679])).
% 72.16/45.37 tff(4682,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.37 tff(4683,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4684,plain,
% 72.16/45.37 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4685,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 72.16/45.37 inference(monotonicity,[status(thm)],[4684])).
% 72.16/45.37 tff(4686,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 72.16/45.37 inference(transitivity,[status(thm)],[4685, 4683])).
% 72.16/45.37 tff(4687,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4688,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 72.16/45.37 tff(4689,plain,
% 72.16/45.37 (v112(constB25) | (~v113(constB25))),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4688, 463, 4682])).
% 72.16/45.37 tff(4690,plain,
% 72.16/45.37 (v112(constB25)),
% 72.16/45.37 inference(unit_resolution,[status(thm)],[4689, 4678])).
% 72.16/45.37 tff(4691,plain,
% 72.16/45.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 72.16/45.37 inference(rewrite,[status(thm)],[])).
% 72.16/45.37 tff(4692,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 72.16/45.37 inference(quant_inst,[status(thm)],[])).
% 72.16/45.37 tff(4693,plain,
% 72.16/45.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 72.16/45.37 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 72.16/45.38 tff(4694,plain,
% 72.16/45.38 (v108(constB25)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4693, 475, 4690])).
% 72.16/45.38 tff(4695,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4696,plain,
% 72.16/45.38 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4697,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4696])).
% 72.16/45.38 tff(4698,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4697, 4695])).
% 72.16/45.38 tff(4699,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4700,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 72.16/45.38 tff(4701,plain,
% 72.16/45.38 (v110(constB26) | (~v108(constB25))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4700, 492, 4439])).
% 72.16/45.38 tff(4702,plain,
% 72.16/45.38 (v110(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4701, 4694])).
% 72.16/45.38 tff(4703,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4704,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4705,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 72.16/45.38 tff(4706,plain,
% 72.16/45.38 (~v104(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4705, 510, 4439, 4195])).
% 72.16/45.38 tff(4707,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4708,plain,
% 72.16/45.38 (((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4709,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4708])).
% 72.16/45.38 tff(4710,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4709, 4707])).
% 72.16/45.38 tff(4711,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4712,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 72.16/45.38 tff(4713,plain,
% 72.16/45.38 (v104(constB26) | v102(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4712, 524, 4439])).
% 72.16/45.38 tff(4714,plain,
% 72.16/45.38 (v102(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4713, 4706])).
% 72.16/45.38 tff(4715,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4716,plain,
% 72.16/45.38 (((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))) <=> ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4717,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4716])).
% 72.16/45.38 tff(4718,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4717, 4715])).
% 72.16/45.38 tff(4719,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4720,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 72.16/45.38 tff(4721,plain,
% 72.16/45.38 (v101(constB26) | (~v102(constB26))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4720, 545, 4439, 4423])).
% 72.16/45.38 tff(4722,plain,
% 72.16/45.38 (v101(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4721, 4714])).
% 72.16/45.38 tff(4723,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4724,plain,
% 72.16/45.38 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4725,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4724])).
% 72.16/45.38 tff(4726,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4725, 4723])).
% 72.16/45.38 tff(4727,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4728,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 72.16/45.38 tff(4729,plain,
% 72.16/45.38 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4728, 563, 4439])).
% 72.16/45.38 tff(4730,plain,
% 72.16/45.38 (v100(constB26) | (~v110(constB26))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4729, 4722])).
% 72.16/45.38 tff(4731,plain,
% 72.16/45.38 (v100(constB26)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4730, 4702])).
% 72.16/45.38 tff(4732,assumption,(v90(constB25, bitIndex1)), introduced(assumption)).
% 72.16/45.38 tff(4733,plain,
% 72.16/45.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4734,plain,
% 72.16/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4735,plain,
% 72.16/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 72.16/45.38 tff(4736,plain,
% 72.16/45.38 (~v124(constB25)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4735, 1229, 4732])).
% 72.16/45.38 tff(4737,assumption,(~v122(constB25)), introduced(assumption)).
% 72.16/45.38 tff(4738,assumption,(~v121(constB25)), introduced(assumption)).
% 72.16/45.38 tff(4739,plain,
% 72.16/45.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4740,plain,
% 72.16/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4741,plain,
% 72.16/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 72.16/45.38 tff(4742,plain,
% 72.16/45.38 (~v120(constB25)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4741, 1240, 4732])).
% 72.16/45.38 tff(4743,assumption,(~v119(constB25)), introduced(assumption)).
% 72.16/45.38 tff(4744,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4745,plain,
% 72.16/45.38 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)) <=> (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4746,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4745])).
% 72.16/45.38 tff(4747,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4746, 4744])).
% 72.16/45.38 tff(4748,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4749,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 72.16/45.38 tff(4750,plain,
% 72.16/45.38 (v130(constB25, bitIndex0) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4749, 1396, 4743])).
% 72.16/45.38 tff(4751,plain,
% 72.16/45.38 (v130(constB25, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4750, 4742, 4738, 4737, 4649, 4736])).
% 72.16/45.38 tff(4752,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4753,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4754,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 72.16/45.38 tff(4755,plain,
% 72.16/45.38 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4754, 1413, 4682])).
% 72.16/45.38 tff(4756,plain,
% 72.16/45.38 (v127(constB25, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4755, 4751])).
% 72.16/45.38 tff(4757,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4758,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4759,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 72.16/45.38 tff(4760,plain,
% 72.16/45.38 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4759, 1428, 4439])).
% 72.16/45.38 tff(4761,plain,
% 72.16/45.38 (v129(constB26, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4760, 4756])).
% 72.16/45.38 tff(4762,assumption,(v100(constB26)), introduced(assumption)).
% 72.16/45.38 tff(4763,plain,
% 72.16/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4764,plain,
% 72.16/45.38 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4765,plain,
% 72.16/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4764])).
% 72.16/45.38 tff(4766,plain,
% 72.16/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4765, 4763])).
% 72.16/45.38 tff(4767,plain,
% 72.16/45.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4768,plain,
% 72.16/45.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 72.16/45.38 tff(4769,plain,
% 72.16/45.38 (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4768, 1443, 4762])).
% 72.16/45.38 tff(4770,plain,
% 72.16/45.38 (v90(constB26, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4769, 4761])).
% 72.16/45.38 tff(4771,plain,
% 72.16/45.38 ((~v1(constB27)) <=> (~v1(constB27))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4772,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 72.16/45.38 tff(4773,plain,
% 72.16/45.38 (~v1(constB27)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4772, 4771])).
% 72.16/45.38 tff(4774,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4775,plain,
% 72.16/45.38 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4776,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4775])).
% 72.16/45.38 tff(4777,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4776, 4774])).
% 72.16/45.38 tff(4778,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4779,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 72.16/45.38 tff(4780,plain,
% 72.16/45.38 (~v101(constB27)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4779, 288, 4556, 4773])).
% 72.16/45.38 tff(4781,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4782,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4783,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 72.16/45.38 tff(4784,plain,
% 72.16/45.38 (v101(constB27) | (~v100(constB27))),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4783, 305, 4556])).
% 72.16/45.38 tff(4785,plain,
% 72.16/45.38 (~v100(constB27)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4784, 4780])).
% 72.16/45.38 tff(4786,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4787,plain,
% 72.16/45.38 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4788,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4787])).
% 72.16/45.38 tff(4789,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4788, 4786])).
% 72.16/45.38 tff(4790,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4791,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 72.16/45.38 tff(4792,plain,
% 72.16/45.38 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4791, 1461, 4556])).
% 72.16/45.38 tff(4793,plain,
% 72.16/45.38 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4792, 4785])).
% 72.16/45.38 tff(4794,plain,
% 72.16/45.38 (v90(constB27, bitIndex0)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4793, 4770])).
% 72.16/45.38 tff(4795,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4796,plain,
% 72.16/45.38 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))) <=> ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4797,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4796])).
% 72.16/45.38 tff(4798,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4797, 4795])).
% 72.16/45.38 tff(4799,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4800,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 72.16/45.38 tff(4801,plain,
% 72.16/45.38 ((~v130(constB25, bitIndex1)) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4800, 1349, 4743])).
% 72.16/45.38 tff(4802,plain,
% 72.16/45.38 (~v130(constB25, bitIndex1)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4801, 4742, 4738, 4737, 4649, 4736])).
% 72.16/45.38 tff(4803,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4804,plain,
% 72.16/45.38 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4805,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 72.16/45.38 inference(monotonicity,[status(thm)],[4804])).
% 72.16/45.38 tff(4806,plain,
% 72.16/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.16/45.38 inference(transitivity,[status(thm)],[4805, 4803])).
% 72.16/45.38 tff(4807,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4808,plain,
% 72.16/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 72.16/45.38 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 72.16/45.38 tff(4809,plain,
% 72.16/45.38 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4808, 695, 4682])).
% 72.16/45.38 tff(4810,plain,
% 72.16/45.38 (~v127(constB25, bitIndex1)),
% 72.16/45.38 inference(unit_resolution,[status(thm)],[4809, 4802])).
% 72.16/45.38 tff(4811,plain,
% 72.16/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 72.16/45.38 inference(rewrite,[status(thm)],[])).
% 72.16/45.38 tff(4812,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 72.16/45.38 inference(quant_inst,[status(thm)],[])).
% 72.16/45.38 tff(4813,plain,
% 72.16/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 72.16/45.39 tff(4814,plain,
% 72.16/45.39 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4813, 713, 4439])).
% 72.16/45.39 tff(4815,plain,
% 72.16/45.39 (~v129(constB26, bitIndex1)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4814, 4810])).
% 72.16/45.39 tff(4816,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4817,plain,
% 72.16/45.39 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4818,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4817])).
% 72.16/45.39 tff(4819,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4818, 4816])).
% 72.16/45.39 tff(4820,plain,
% 72.16/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4821,plain,
% 72.16/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 72.16/45.39 tff(4822,plain,
% 72.16/45.39 ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4821, 728, 4762])).
% 72.16/45.39 tff(4823,plain,
% 72.16/45.39 (~v90(constB26, bitIndex1)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4822, 4815])).
% 72.16/45.39 tff(4824,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4825,plain,
% 72.16/45.39 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4826,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4825])).
% 72.16/45.39 tff(4827,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4826, 4824])).
% 72.16/45.39 tff(4828,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4829,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 72.16/45.39 tff(4830,plain,
% 72.16/45.39 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4829, 341, 4556])).
% 72.16/45.39 tff(4831,plain,
% 72.16/45.39 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4830, 4785])).
% 72.16/45.39 tff(4832,plain,
% 72.16/45.39 (~v90(constB27, bitIndex1)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4831, 4823])).
% 72.16/45.39 tff(4833,assumption,(~v90(constB27, bitIndex2)), introduced(assumption)).
% 72.16/45.39 tff(4834,plain,
% 72.16/45.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4835,plain,
% 72.16/45.39 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4836,plain,
% 72.16/45.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4835])).
% 72.16/45.39 tff(4837,plain,
% 72.16/45.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4836, 4834])).
% 72.16/45.39 tff(4838,plain,
% 72.16/45.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4839,plain,
% 72.16/45.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 72.16/45.39 tff(4840,plain,
% 72.16/45.39 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4839, 1480, 4833, 4664])).
% 72.16/45.39 tff(4841,plain,
% 72.16/45.39 ($false),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4840, 4832, 4794])).
% 72.16/45.39 tff(4842,plain,((~v90(constB25, bitIndex1)) | v90(constB27, bitIndex2) | v120(constB27) | (~v100(constB26)) | v121(constB25) | v122(constB25) | v123(constB25) | v119(constB25)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.39 tff(4843,plain,
% 72.16/45.39 (v90(constB27, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4842, 4731, 4664, 4659, 4663, 4653, 4649, 4648])).
% 72.16/45.39 tff(4844,plain,
% 72.16/45.39 (~v124(constB25)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4735, 1229, 4659])).
% 72.16/45.39 tff(4845,plain,
% 72.16/45.39 (~v120(constB25)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4741, 1240, 4659])).
% 72.16/45.39 tff(4846,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4847,plain,
% 72.16/45.39 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))) <=> ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4848,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4847])).
% 72.16/45.39 tff(4849,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4848, 4846])).
% 72.16/45.39 tff(4850,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4851,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 72.16/45.39 tff(4852,plain,
% 72.16/45.39 ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v124(constB25)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4851, 1254, 4649])).
% 72.16/45.39 tff(4853,plain,
% 72.16/45.39 (~v130(constB25, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4852, 4663, 4648, 4653, 4845, 4844])).
% 72.16/45.39 tff(4854,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4855,plain,
% 72.16/45.39 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4856,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4855])).
% 72.16/45.39 tff(4857,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4856, 4854])).
% 72.16/45.39 tff(4858,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4859,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4858, 4857])).
% 72.16/45.39 tff(4860,plain,
% 72.16/45.39 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4859, 1271, 4682])).
% 72.16/45.39 tff(4861,plain,
% 72.16/45.39 (~v127(constB25, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4860, 4853])).
% 72.16/45.39 tff(4862,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4863,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4864,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 72.16/45.39 tff(4865,plain,
% 72.16/45.39 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4864, 1289, 4439])).
% 72.16/45.39 tff(4866,plain,
% 72.16/45.39 (~v129(constB26, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4865, 4861])).
% 72.16/45.39 tff(4867,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4868,plain,
% 72.16/45.39 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4869,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4868])).
% 72.16/45.39 tff(4870,plain,
% 72.16/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4869, 4867])).
% 72.16/45.39 tff(4871,plain,
% 72.16/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4872,plain,
% 72.16/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 72.16/45.39 tff(4873,plain,
% 72.16/45.39 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4872, 1304, 4866])).
% 72.16/45.39 tff(4874,plain,
% 72.16/45.39 (~v90(constB26, bitIndex2)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4873, 4731])).
% 72.16/45.39 tff(4875,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4876,plain,
% 72.16/45.39 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4877,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 72.16/45.39 inference(monotonicity,[status(thm)],[4876])).
% 72.16/45.39 tff(4878,plain,
% 72.16/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.16/45.39 inference(transitivity,[status(thm)],[4877, 4875])).
% 72.16/45.39 tff(4879,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4880,plain,
% 72.16/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 72.16/45.39 tff(4881,plain,
% 72.16/45.39 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4880, 320, 4556])).
% 72.16/45.39 tff(4882,plain,
% 72.16/45.39 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4881, 4785])).
% 72.16/45.39 tff(4883,plain,
% 72.16/45.39 ($false),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4882, 4874, 4843])).
% 72.16/45.39 tff(4884,plain,((~v123(constB23)) | v120(constB27) | v123(constB25)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.39 tff(4885,plain,
% 72.16/45.39 (v120(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4884, 3225, 4630])).
% 72.16/45.39 tff(4886,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4887,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4888,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 72.16/45.39 tff(4889,plain,
% 72.16/45.39 (v118(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4888, 1494, 4885])).
% 72.16/45.39 tff(4890,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4891,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4892,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 72.16/45.39 tff(4893,plain,
% 72.16/45.39 (v117(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4892, 405, 4889])).
% 72.16/45.39 tff(4894,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4895,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4896,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 72.16/45.39 tff(4897,plain,
% 72.16/45.39 (v116(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4896, 416, 4893])).
% 72.16/45.39 tff(4898,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4899,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4900,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 72.16/45.39 tff(4901,plain,
% 72.16/45.39 (v115(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4900, 427, 4897])).
% 72.16/45.39 tff(4902,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4903,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4904,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 72.16/45.39 tff(4905,plain,
% 72.16/45.39 (v114(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4904, 438, 4901])).
% 72.16/45.39 tff(4906,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4907,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4908,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 72.16/45.39 tff(4909,plain,
% 72.16/45.39 (v113(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4908, 449, 4905])).
% 72.16/45.39 tff(4910,assumption,(v26(constB27)), introduced(assumption)).
% 72.16/45.39 tff(4911,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4912,plain,
% 72.16/45.39 ($false),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4911, 26, 4910])).
% 72.16/45.39 tff(4913,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 72.16/45.39 tff(4914,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4915,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4916,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4915, 4914])).
% 72.16/45.39 tff(4917,plain,
% 72.16/45.39 ((~v113(constB27)) | v112(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4916, 463, 4913])).
% 72.16/45.39 tff(4918,plain,
% 72.16/45.39 (v112(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4917, 4909])).
% 72.16/45.39 tff(4919,plain,
% 72.16/45.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 72.16/45.39 inference(rewrite,[status(thm)],[])).
% 72.16/45.39 tff(4920,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 72.16/45.39 inference(quant_inst,[status(thm)],[])).
% 72.16/45.39 tff(4921,plain,
% 72.16/45.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 72.16/45.39 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 72.16/45.39 tff(4922,plain,
% 72.16/45.39 (v108(constB27)),
% 72.16/45.39 inference(unit_resolution,[status(thm)],[4921, 475, 4918])).
% 72.16/45.39 tff(4923,plain,
% 72.16/45.39 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4924,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 72.24/45.39 tff(4925,plain,
% 72.24/45.39 (nextState(constB27, constB28)),
% 72.24/45.39 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 72.24/45.39 tff(4926,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4927,plain,
% 72.24/45.39 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4928,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 72.24/45.39 inference(monotonicity,[status(thm)],[4927])).
% 72.24/45.39 tff(4929,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.24/45.39 inference(transitivity,[status(thm)],[4928, 4926])).
% 72.24/45.39 tff(4930,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 72.24/45.39 inference(quant_inst,[status(thm)],[])).
% 72.24/45.39 tff(4931,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 72.24/45.39 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 72.24/45.39 tff(4932,plain,
% 72.24/45.39 (v110(constB28) | (~v108(constB27))),
% 72.24/45.39 inference(unit_resolution,[status(thm)],[4931, 492, 4925])).
% 72.24/45.39 tff(4933,plain,
% 72.24/45.39 (v110(constB28)),
% 72.24/45.39 inference(unit_resolution,[status(thm)],[4932, 4922])).
% 72.24/45.39 tff(4934,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4935,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 72.24/45.39 inference(quant_inst,[status(thm)],[])).
% 72.24/45.39 tff(4936,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 72.24/45.39 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 72.24/45.39 tff(4937,plain,
% 72.24/45.39 (~v104(constB28)),
% 72.24/45.39 inference(unit_resolution,[status(thm)],[4936, 510, 4925, 4773])).
% 72.24/45.39 tff(4938,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4939,plain,
% 72.24/45.39 (((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4940,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)))),
% 72.24/45.39 inference(monotonicity,[status(thm)],[4939])).
% 72.24/45.39 tff(4941,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 72.24/45.39 inference(transitivity,[status(thm)],[4940, 4938])).
% 72.24/45.39 tff(4942,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 72.24/45.39 inference(quant_inst,[status(thm)],[])).
% 72.24/45.39 tff(4943,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)),
% 72.24/45.39 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 72.24/45.39 tff(4944,plain,
% 72.24/45.39 (v104(constB28) | v102(constB28)),
% 72.24/45.39 inference(unit_resolution,[status(thm)],[4943, 524, 4925])).
% 72.24/45.39 tff(4945,plain,
% 72.24/45.39 (v102(constB28)),
% 72.24/45.39 inference(unit_resolution,[status(thm)],[4944, 4937])).
% 72.24/45.39 tff(4946,plain,
% 72.24/45.39 (v1(constB28) <=> v1(constB28)),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4947,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 72.24/45.39 tff(4948,plain,
% 72.24/45.39 (v1(constB28)),
% 72.24/45.39 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 72.24/45.39 tff(4949,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4950,plain,
% 72.24/45.39 (((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))) <=> ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 72.24/45.39 inference(rewrite,[status(thm)],[])).
% 72.24/45.39 tff(4951,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))))),
% 72.24/45.39 inference(monotonicity,[status(thm)],[4950])).
% 72.24/45.39 tff(4952,plain,
% 72.24/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 72.24/45.39 inference(transitivity,[status(thm)],[4951, 4949])).
% 72.24/45.39 tff(4953,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 72.24/45.39 inference(quant_inst,[status(thm)],[])).
% 72.24/45.39 tff(4954,plain,
% 72.24/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 72.24/45.40 tff(4955,plain,
% 72.24/45.40 (v101(constB28) | (~v102(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4954, 545, 4925, 4948])).
% 72.24/45.40 tff(4956,plain,
% 72.24/45.40 (v101(constB28)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4955, 4945])).
% 72.24/45.40 tff(4957,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4958,plain,
% 72.24/45.40 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4959,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[4958])).
% 72.24/45.40 tff(4960,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[4959, 4957])).
% 72.24/45.40 tff(4961,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(4962,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 72.24/45.40 tff(4963,plain,
% 72.24/45.40 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4962, 563, 4925])).
% 72.24/45.40 tff(4964,plain,
% 72.24/45.40 (v100(constB28) | (~v110(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4963, 4956])).
% 72.24/45.40 tff(4965,plain,
% 72.24/45.40 (v100(constB28)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4964, 4933])).
% 72.24/45.40 tff(4966,plain,
% 72.24/45.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4967,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(4968,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4967, 4966])).
% 72.24/45.40 tff(4969,plain,
% 72.24/45.40 (~v130(constB27, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4968, 1587, 4885])).
% 72.24/45.40 tff(4970,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4971,plain,
% 72.24/45.40 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4972,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[4971])).
% 72.24/45.40 tff(4973,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.24/45.40 inference(transitivity,[status(thm)],[4972, 4970])).
% 72.24/45.40 tff(4974,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(4975,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 72.24/45.40 tff(4976,plain,
% 72.24/45.40 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4975, 1271, 4913])).
% 72.24/45.40 tff(4977,plain,
% 72.24/45.40 (~v127(constB27, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4976, 4969])).
% 72.24/45.40 tff(4978,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4979,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(4980,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 72.24/45.40 tff(4981,plain,
% 72.24/45.40 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4980, 1289, 4925])).
% 72.24/45.40 tff(4982,plain,
% 72.24/45.40 (~v129(constB28, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4981, 4977])).
% 72.24/45.40 tff(4983,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4984,plain,
% 72.24/45.40 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4985,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[4984])).
% 72.24/45.40 tff(4986,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[4985, 4983])).
% 72.24/45.40 tff(4987,plain,
% 72.24/45.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(4988,plain,
% 72.24/45.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 72.24/45.40 tff(4989,plain,
% 72.24/45.40 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4988, 1304, 4982])).
% 72.24/45.40 tff(4990,plain,
% 72.24/45.40 (~v90(constB28, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[4989, 4965])).
% 72.24/45.40 tff(4991,plain,
% 72.24/45.40 ((~v1(constB29)) <=> (~v1(constB29))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4992,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 72.24/45.40 tff(4993,plain,
% 72.24/45.40 (~v1(constB29)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 72.24/45.40 tff(4994,plain,
% 72.24/45.40 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4995,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 72.24/45.40 tff(4996,plain,
% 72.24/45.40 (nextState(constB28, constB29)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 72.24/45.40 tff(4997,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4998,plain,
% 72.24/45.40 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(4999,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[4998])).
% 72.24/45.40 tff(5000,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[4999, 4997])).
% 72.24/45.40 tff(5001,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5002,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 72.24/45.40 tff(5003,plain,
% 72.24/45.40 (~v101(constB29)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5002, 288, 4996, 4993])).
% 72.24/45.40 tff(5004,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5005,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5006,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 72.24/45.40 tff(5007,plain,
% 72.24/45.40 (v101(constB29) | (~v100(constB29))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5006, 305, 4996])).
% 72.24/45.40 tff(5008,plain,
% 72.24/45.40 (~v100(constB29)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5007, 5003])).
% 72.24/45.40 tff(5009,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5010,plain,
% 72.24/45.40 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5011,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5010])).
% 72.24/45.40 tff(5012,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5011, 5009])).
% 72.24/45.40 tff(5013,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5014,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 72.24/45.40 tff(5015,plain,
% 72.24/45.40 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5014, 320, 4996])).
% 72.24/45.40 tff(5016,plain,
% 72.24/45.40 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5015, 5008])).
% 72.24/45.40 tff(5017,plain,
% 72.24/45.40 (~v90(constB29, bitIndex2)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5016, 4990])).
% 72.24/45.40 tff(5018,plain,
% 72.24/45.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5019,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5020,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5019, 5018])).
% 72.24/45.40 tff(5021,plain,
% 72.24/45.40 (v130(constB27, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5020, 1649, 4885])).
% 72.24/45.40 tff(5022,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5023,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5024,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 72.24/45.40 tff(5025,plain,
% 72.24/45.40 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5024, 990, 4913])).
% 72.24/45.40 tff(5026,plain,
% 72.24/45.40 (v127(constB27, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5025, 5021])).
% 72.24/45.40 tff(5027,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5028,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5029,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 72.24/45.40 tff(5030,plain,
% 72.24/45.40 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5029, 1005, 4925])).
% 72.24/45.40 tff(5031,plain,
% 72.24/45.40 (v129(constB28, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5030, 5026])).
% 72.24/45.40 tff(5032,plain,
% 72.24/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5033,plain,
% 72.24/45.40 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5034,plain,
% 72.24/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5033])).
% 72.24/45.40 tff(5035,plain,
% 72.24/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5034, 5032])).
% 72.24/45.40 tff(5036,plain,
% 72.24/45.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5037,plain,
% 72.24/45.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 72.24/45.40 tff(5038,plain,
% 72.24/45.40 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5037, 1020, 5031])).
% 72.24/45.40 tff(5039,plain,
% 72.24/45.40 (v90(constB28, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5038, 4965])).
% 72.24/45.40 tff(5040,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5041,plain,
% 72.24/45.40 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5042,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5041])).
% 72.24/45.40 tff(5043,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5042, 5040])).
% 72.24/45.40 tff(5044,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5045,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 72.24/45.40 tff(5046,plain,
% 72.24/45.40 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5045, 1038, 4996])).
% 72.24/45.40 tff(5047,plain,
% 72.24/45.40 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5046, 5008])).
% 72.24/45.40 tff(5048,plain,
% 72.24/45.40 (v90(constB29, bitIndex1)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5047, 5039])).
% 72.24/45.40 tff(5049,plain,
% 72.24/45.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5050,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5051,plain,
% 72.24/45.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 72.24/45.40 tff(5052,plain,
% 72.24/45.40 (~v130(constB27, bitIndex0)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5051, 1690, 4885])).
% 72.24/45.40 tff(5053,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5054,plain,
% 72.24/45.40 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5055,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5054])).
% 72.24/45.40 tff(5056,plain,
% 72.24/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5055, 5053])).
% 72.24/45.40 tff(5057,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5058,plain,
% 72.24/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 72.24/45.40 tff(5059,plain,
% 72.24/45.40 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5058, 769, 4913])).
% 72.24/45.40 tff(5060,plain,
% 72.24/45.40 (~v127(constB27, bitIndex0)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5059, 5052])).
% 72.24/45.40 tff(5061,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5062,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5063,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 72.24/45.40 tff(5064,plain,
% 72.24/45.40 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5063, 787, 4925])).
% 72.24/45.40 tff(5065,plain,
% 72.24/45.40 (~v129(constB28, bitIndex0)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5064, 5060])).
% 72.24/45.40 tff(5066,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5067,plain,
% 72.24/45.40 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5068,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5067])).
% 72.24/45.40 tff(5069,plain,
% 72.24/45.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5068, 5066])).
% 72.24/45.40 tff(5070,plain,
% 72.24/45.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5071,plain,
% 72.24/45.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 72.24/45.40 tff(5072,plain,
% 72.24/45.40 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5071, 802, 5065])).
% 72.24/45.40 tff(5073,plain,
% 72.24/45.40 (~v90(constB28, bitIndex0)),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5072, 4965])).
% 72.24/45.40 tff(5074,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5075,plain,
% 72.24/45.40 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.24/45.40 inference(rewrite,[status(thm)],[])).
% 72.24/45.40 tff(5076,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 72.24/45.40 inference(monotonicity,[status(thm)],[5075])).
% 72.24/45.40 tff(5077,plain,
% 72.24/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.24/45.40 inference(transitivity,[status(thm)],[5076, 5074])).
% 72.24/45.40 tff(5078,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.24/45.40 inference(quant_inst,[status(thm)],[])).
% 72.24/45.40 tff(5079,plain,
% 72.24/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 72.24/45.40 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 72.24/45.40 tff(5080,plain,
% 72.24/45.40 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5079, 362, 4996])).
% 72.24/45.40 tff(5081,plain,
% 72.24/45.40 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 72.24/45.40 inference(unit_resolution,[status(thm)],[5080, 5008])).
% 72.24/45.40 tff(5082,plain,
% 72.24/45.41 (~v90(constB29, bitIndex0)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5081, 5073])).
% 72.24/45.41 tff(5083,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5084,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5085,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 72.24/45.41 tff(5086,plain,
% 72.24/45.41 (v121(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5085, 1734, 5082, 5048, 5017])).
% 72.24/45.41 tff(5087,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5088,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5089,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 72.24/45.41 tff(5090,plain,
% 72.24/45.41 (v117(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5089, 1775, 5086])).
% 72.24/45.41 tff(5091,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5092,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5093,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 72.24/45.41 tff(5094,plain,
% 72.24/45.41 (v116(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5093, 416, 5090])).
% 72.24/45.41 tff(5095,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5096,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5097,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 72.24/45.41 tff(5098,plain,
% 72.24/45.41 (v115(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5097, 427, 5094])).
% 72.24/45.41 tff(5099,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5100,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5101,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 72.24/45.41 tff(5102,plain,
% 72.24/45.41 (v114(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5101, 438, 5098])).
% 72.24/45.41 tff(5103,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5104,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5105,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 72.24/45.41 tff(5106,plain,
% 72.24/45.41 (v113(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5105, 449, 5102])).
% 72.24/45.41 tff(5107,assumption,(v26(constB29)), introduced(assumption)).
% 72.24/45.41 tff(5108,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5109,plain,
% 72.24/45.41 ($false),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5108, 26, 5107])).
% 72.24/45.41 tff(5110,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.41 tff(5111,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5112,plain,
% 72.24/45.41 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5113,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5112])).
% 72.24/45.41 tff(5114,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5113, 5111])).
% 72.24/45.41 tff(5115,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5116,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 72.24/45.41 tff(5117,plain,
% 72.24/45.41 (v112(constB29) | (~v113(constB29))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5116, 463, 5110])).
% 72.24/45.41 tff(5118,plain,
% 72.24/45.41 (v112(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5117, 5106])).
% 72.24/45.41 tff(5119,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5120,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5121,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 72.24/45.41 tff(5122,plain,
% 72.24/45.41 (v108(constB29)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5121, 475, 5118])).
% 72.24/45.41 tff(5123,plain,
% 72.24/45.41 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5124,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 72.24/45.41 tff(5125,plain,
% 72.24/45.41 (nextState(constB29, constB30)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 72.24/45.41 tff(5126,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5127,plain,
% 72.24/45.41 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5128,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5127])).
% 72.24/45.41 tff(5129,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5128, 5126])).
% 72.24/45.41 tff(5130,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5131,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5130, 5129])).
% 72.24/45.41 tff(5132,plain,
% 72.24/45.41 (v110(constB30) | (~v108(constB29))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5131, 492, 5125])).
% 72.24/45.41 tff(5133,plain,
% 72.24/45.41 (v110(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5132, 5122])).
% 72.24/45.41 tff(5134,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5135,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5136,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 72.24/45.41 tff(5137,plain,
% 72.24/45.41 (~v104(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5136, 510, 5125, 4993])).
% 72.24/45.41 tff(5138,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5139,plain,
% 72.24/45.41 (((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5140,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5139])).
% 72.24/45.41 tff(5141,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5140, 5138])).
% 72.24/45.41 tff(5142,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5143,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5142, 5141])).
% 72.24/45.41 tff(5144,plain,
% 72.24/45.41 (v104(constB30) | v102(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5143, 524, 5125])).
% 72.24/45.41 tff(5145,plain,
% 72.24/45.41 (v102(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5144, 5137])).
% 72.24/45.41 tff(5146,plain,
% 72.24/45.41 (v1(constB30) <=> v1(constB30)),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5147,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 72.24/45.41 tff(5148,plain,
% 72.24/45.41 (v1(constB30)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 72.24/45.41 tff(5149,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5150,plain,
% 72.24/45.41 (((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))) <=> ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5151,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5150])).
% 72.24/45.41 tff(5152,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5151, 5149])).
% 72.24/45.41 tff(5153,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5154,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 72.24/45.41 tff(5155,plain,
% 72.24/45.41 (v101(constB30) | (~v102(constB30))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5154, 545, 5125, 5148])).
% 72.24/45.41 tff(5156,plain,
% 72.24/45.41 (v101(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5155, 5145])).
% 72.24/45.41 tff(5157,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5158,plain,
% 72.24/45.41 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5159,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5158])).
% 72.24/45.41 tff(5160,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5159, 5157])).
% 72.24/45.41 tff(5161,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5162,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 72.24/45.41 tff(5163,plain,
% 72.24/45.41 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5162, 563, 5125])).
% 72.24/45.41 tff(5164,plain,
% 72.24/45.41 (v100(constB30) | (~v110(constB30))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5163, 5156])).
% 72.24/45.41 tff(5165,plain,
% 72.24/45.41 (v100(constB30)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5164, 5133])).
% 72.24/45.41 tff(5166,plain,
% 72.24/45.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5167,plain,
% 72.24/45.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5168,plain,
% 72.24/45.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 72.24/45.41 tff(5169,plain,
% 72.24/45.41 (~v130(constB29, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5168, 1748, 5086])).
% 72.24/45.41 tff(5170,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5171,plain,
% 72.24/45.41 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5172,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5171])).
% 72.24/45.41 tff(5173,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5172, 5170])).
% 72.24/45.41 tff(5174,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5175,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 72.24/45.41 tff(5176,plain,
% 72.24/45.41 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5175, 1271, 5110])).
% 72.24/45.41 tff(5177,plain,
% 72.24/45.41 (~v127(constB29, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5176, 5169])).
% 72.24/45.41 tff(5178,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5179,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5180,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5179, 5178])).
% 72.24/45.41 tff(5181,plain,
% 72.24/45.41 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5180, 1289, 5125])).
% 72.24/45.41 tff(5182,plain,
% 72.24/45.41 (~v129(constB30, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5181, 5177])).
% 72.24/45.41 tff(5183,plain,
% 72.24/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5184,plain,
% 72.24/45.41 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5185,plain,
% 72.24/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5184])).
% 72.24/45.41 tff(5186,plain,
% 72.24/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5185, 5183])).
% 72.24/45.41 tff(5187,plain,
% 72.24/45.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5188,plain,
% 72.24/45.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5187, 5186])).
% 72.24/45.41 tff(5189,plain,
% 72.24/45.41 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5188, 1304, 5182])).
% 72.24/45.41 tff(5190,plain,
% 72.24/45.41 (~v90(constB30, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5189, 5165])).
% 72.24/45.41 tff(5191,plain,
% 72.24/45.41 ((~v1(constB31)) <=> (~v1(constB31))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5192,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 72.24/45.41 tff(5193,plain,
% 72.24/45.41 (~v1(constB31)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 72.24/45.41 tff(5194,plain,
% 72.24/45.41 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5195,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 72.24/45.41 tff(5196,plain,
% 72.24/45.41 (nextState(constB30, constB31)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 72.24/45.41 tff(5197,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5198,plain,
% 72.24/45.41 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5199,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5198])).
% 72.24/45.41 tff(5200,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5199, 5197])).
% 72.24/45.41 tff(5201,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5202,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5201, 5200])).
% 72.24/45.41 tff(5203,plain,
% 72.24/45.41 (~v101(constB31)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5202, 288, 5196, 5193])).
% 72.24/45.41 tff(5204,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5205,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5206,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 72.24/45.41 tff(5207,plain,
% 72.24/45.41 (v101(constB31) | (~v100(constB31))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5206, 305, 5196])).
% 72.24/45.41 tff(5208,plain,
% 72.24/45.41 (~v100(constB31)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5207, 5203])).
% 72.24/45.41 tff(5209,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5210,plain,
% 72.24/45.41 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5211,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5210])).
% 72.24/45.41 tff(5212,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5211, 5209])).
% 72.24/45.41 tff(5213,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5214,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 72.24/45.41 tff(5215,plain,
% 72.24/45.41 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5214, 320, 5196])).
% 72.24/45.41 tff(5216,plain,
% 72.24/45.41 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5215, 5208])).
% 72.24/45.41 tff(5217,plain,
% 72.24/45.41 (~v90(constB31, bitIndex2)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5216, 5190])).
% 72.24/45.41 tff(5218,plain,
% 72.24/45.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5219,plain,
% 72.24/45.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5220,plain,
% 72.24/45.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 72.24/45.41 tff(5221,plain,
% 72.24/45.41 (v130(constB29, bitIndex1)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5220, 1904, 5086])).
% 72.24/45.41 tff(5222,plain,
% 72.24/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5223,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5224,plain,
% 72.24/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 72.24/45.41 tff(5225,plain,
% 72.24/45.41 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5224, 990, 5110])).
% 72.24/45.41 tff(5226,plain,
% 72.24/45.41 (v127(constB29, bitIndex1)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5225, 5221])).
% 72.24/45.41 tff(5227,plain,
% 72.24/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5228,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5229,plain,
% 72.24/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 72.24/45.41 tff(5230,plain,
% 72.24/45.41 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5229, 1005, 5125])).
% 72.24/45.41 tff(5231,plain,
% 72.24/45.41 (v129(constB30, bitIndex1)),
% 72.24/45.41 inference(unit_resolution,[status(thm)],[5230, 5226])).
% 72.24/45.41 tff(5232,plain,
% 72.24/45.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5233,plain,
% 72.24/45.41 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.24/45.41 inference(rewrite,[status(thm)],[])).
% 72.24/45.41 tff(5234,plain,
% 72.24/45.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 72.24/45.41 inference(monotonicity,[status(thm)],[5233])).
% 72.24/45.41 tff(5235,plain,
% 72.24/45.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.24/45.41 inference(transitivity,[status(thm)],[5234, 5232])).
% 72.24/45.41 tff(5236,plain,
% 72.24/45.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 72.24/45.41 inference(quant_inst,[status(thm)],[])).
% 72.24/45.41 tff(5237,plain,
% 72.24/45.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 72.24/45.41 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 72.24/45.41 tff(5238,plain,
% 72.24/45.41 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5237, 1020, 5231])).
% 72.24/45.42 tff(5239,plain,
% 72.24/45.42 (v90(constB30, bitIndex1)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5238, 5165])).
% 72.24/45.42 tff(5240,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5241,plain,
% 72.24/45.42 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5242,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5241])).
% 72.24/45.42 tff(5243,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5242, 5240])).
% 72.24/45.42 tff(5244,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5245,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 72.24/45.42 tff(5246,plain,
% 72.24/45.42 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5245, 1038, 5196])).
% 72.24/45.42 tff(5247,plain,
% 72.24/45.42 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5246, 5208])).
% 72.24/45.42 tff(5248,plain,
% 72.24/45.42 (v90(constB31, bitIndex1)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5247, 5239])).
% 72.24/45.42 tff(5249,plain,
% 72.24/45.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5250,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5251,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 72.24/45.42 tff(5252,plain,
% 72.24/45.42 (v130(constB29, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5251, 1945, 5086])).
% 72.24/45.42 tff(5253,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5254,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5255,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 72.24/45.42 tff(5256,plain,
% 72.24/45.42 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5255, 1413, 5110])).
% 72.24/45.42 tff(5257,plain,
% 72.24/45.42 (v127(constB29, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5256, 5252])).
% 72.24/45.42 tff(5258,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5259,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5260,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 72.24/45.42 tff(5261,plain,
% 72.24/45.42 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5260, 1428, 5125])).
% 72.24/45.42 tff(5262,plain,
% 72.24/45.42 (v129(constB30, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5261, 5257])).
% 72.24/45.42 tff(5263,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5264,plain,
% 72.24/45.42 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5265,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5264])).
% 72.24/45.42 tff(5266,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5265, 5263])).
% 72.24/45.42 tff(5267,plain,
% 72.24/45.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5268,plain,
% 72.24/45.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 72.24/45.42 tff(5269,plain,
% 72.24/45.42 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5268, 1443, 5262])).
% 72.24/45.42 tff(5270,plain,
% 72.24/45.42 (v90(constB30, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5269, 5165])).
% 72.24/45.42 tff(5271,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5272,plain,
% 72.24/45.42 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5273,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5272])).
% 72.24/45.42 tff(5274,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5273, 5271])).
% 72.24/45.42 tff(5275,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5276,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 72.24/45.42 tff(5277,plain,
% 72.24/45.42 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5276, 1461, 5196])).
% 72.24/45.42 tff(5278,plain,
% 72.24/45.42 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5277, 5208])).
% 72.24/45.42 tff(5279,plain,
% 72.24/45.42 (v90(constB31, bitIndex0)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5278, 5270])).
% 72.24/45.42 tff(5280,plain,
% 72.24/45.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5281,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5282,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5281, 5280])).
% 72.24/45.42 tff(5283,plain,
% 72.24/45.42 (v122(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5282, 1986, 5279, 5248, 5217])).
% 72.24/45.42 tff(5284,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5285,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5286,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 72.24/45.42 tff(5287,plain,
% 72.24/45.42 (v116(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5286, 1997, 5283])).
% 72.24/45.42 tff(5288,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5289,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5290,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 72.24/45.42 tff(5291,plain,
% 72.24/45.42 (v115(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5290, 427, 5287])).
% 72.24/45.42 tff(5292,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5293,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5294,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 72.24/45.42 tff(5295,plain,
% 72.24/45.42 (v114(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5294, 438, 5291])).
% 72.24/45.42 tff(5296,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5297,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5298,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 72.24/45.42 tff(5299,plain,
% 72.24/45.42 (v113(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5298, 449, 5295])).
% 72.24/45.42 tff(5300,assumption,(v26(constB31)), introduced(assumption)).
% 72.24/45.42 tff(5301,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5302,plain,
% 72.24/45.42 ($false),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5301, 26, 5300])).
% 72.24/45.42 tff(5303,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.42 tff(5304,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5305,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5306,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 72.24/45.42 tff(5307,plain,
% 72.24/45.42 ((~v113(constB31)) | v112(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5306, 463, 5303])).
% 72.24/45.42 tff(5308,plain,
% 72.24/45.42 (v112(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5307, 5299])).
% 72.24/45.42 tff(5309,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5310,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5311,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 72.24/45.42 tff(5312,plain,
% 72.24/45.42 (v108(constB31)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5311, 475, 5308])).
% 72.24/45.42 tff(5313,plain,
% 72.24/45.42 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5314,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 72.24/45.42 tff(5315,plain,
% 72.24/45.42 (nextState(constB31, constB32)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 72.24/45.42 tff(5316,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5317,plain,
% 72.24/45.42 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5318,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5317])).
% 72.24/45.42 tff(5319,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5318, 5316])).
% 72.24/45.42 tff(5320,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5321,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 72.24/45.42 tff(5322,plain,
% 72.24/45.42 (v110(constB32) | (~v108(constB31))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5321, 492, 5315])).
% 72.24/45.42 tff(5323,plain,
% 72.24/45.42 (v110(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5322, 5312])).
% 72.24/45.42 tff(5324,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5325,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5326,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5325, 5324])).
% 72.24/45.42 tff(5327,plain,
% 72.24/45.42 (~v104(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5326, 510, 5315, 5193])).
% 72.24/45.42 tff(5328,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5329,plain,
% 72.24/45.42 (((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5330,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5329])).
% 72.24/45.42 tff(5331,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5330, 5328])).
% 72.24/45.42 tff(5332,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5333,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 72.24/45.42 tff(5334,plain,
% 72.24/45.42 (v104(constB32) | v102(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5333, 524, 5315])).
% 72.24/45.42 tff(5335,plain,
% 72.24/45.42 (v102(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5334, 5327])).
% 72.24/45.42 tff(5336,plain,
% 72.24/45.42 (v1(constB32) <=> v1(constB32)),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5337,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 72.24/45.42 tff(5338,plain,
% 72.24/45.42 (v1(constB32)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 72.24/45.42 tff(5339,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5340,plain,
% 72.24/45.42 (((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))) <=> ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5341,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5340])).
% 72.24/45.42 tff(5342,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5341, 5339])).
% 72.24/45.42 tff(5343,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5344,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 72.24/45.42 tff(5345,plain,
% 72.24/45.42 (v101(constB32) | (~v102(constB32))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5344, 545, 5315, 5338])).
% 72.24/45.42 tff(5346,plain,
% 72.24/45.42 (v101(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5345, 5335])).
% 72.24/45.42 tff(5347,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5348,plain,
% 72.24/45.42 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5349,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5348])).
% 72.24/45.42 tff(5350,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5349, 5347])).
% 72.24/45.42 tff(5351,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5352,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 72.24/45.42 tff(5353,plain,
% 72.24/45.42 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5352, 563, 5315])).
% 72.24/45.42 tff(5354,plain,
% 72.24/45.42 (v100(constB32) | (~v110(constB32))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5353, 5346])).
% 72.24/45.42 tff(5355,plain,
% 72.24/45.42 (v100(constB32)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5354, 5323])).
% 72.24/45.42 tff(5356,plain,
% 72.24/45.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5357,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5358,plain,
% 72.24/45.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 72.24/45.42 tff(5359,plain,
% 72.24/45.42 (v130(constB31, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5358, 2079, 5283])).
% 72.24/45.42 tff(5360,plain,
% 72.24/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5361,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5362,plain,
% 72.24/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 72.24/45.42 tff(5363,plain,
% 72.24/45.42 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5362, 596, 5303])).
% 72.24/45.42 tff(5364,plain,
% 72.24/45.42 (v127(constB31, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5363, 5359])).
% 72.24/45.42 tff(5365,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5366,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5367,plain,
% 72.24/45.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 72.24/45.42 tff(5368,plain,
% 72.24/45.42 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5367, 611, 5315])).
% 72.24/45.42 tff(5369,plain,
% 72.24/45.42 (v129(constB32, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5368, 5364])).
% 72.24/45.42 tff(5370,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5371,plain,
% 72.24/45.42 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5372,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 72.24/45.42 inference(monotonicity,[status(thm)],[5371])).
% 72.24/45.42 tff(5373,plain,
% 72.24/45.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.24/45.42 inference(transitivity,[status(thm)],[5372, 5370])).
% 72.24/45.42 tff(5374,plain,
% 72.24/45.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 72.24/45.42 inference(quant_inst,[status(thm)],[])).
% 72.24/45.42 tff(5375,plain,
% 72.24/45.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5374, 5373])).
% 72.24/45.42 tff(5376,plain,
% 72.24/45.42 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5375, 626, 5369])).
% 72.24/45.42 tff(5377,plain,
% 72.24/45.42 (v90(constB32, bitIndex2)),
% 72.24/45.42 inference(unit_resolution,[status(thm)],[5376, 5355])).
% 72.24/45.42 tff(5378,plain,
% 72.24/45.42 ((~v1(constB33)) <=> (~v1(constB33))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5379,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 72.24/45.42 tff(5380,plain,
% 72.24/45.42 (~v1(constB33)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 72.24/45.42 tff(5381,plain,
% 72.24/45.42 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5382,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 72.24/45.42 tff(5383,plain,
% 72.24/45.42 (nextState(constB32, constB33)),
% 72.24/45.42 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 72.24/45.42 tff(5384,plain,
% 72.24/45.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.24/45.42 inference(rewrite,[status(thm)],[])).
% 72.24/45.42 tff(5385,plain,
% 72.24/45.42 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5386,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5385])).
% 72.24/45.43 tff(5387,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5386, 5384])).
% 72.24/45.43 tff(5388,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5389,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 72.24/45.43 tff(5390,plain,
% 72.24/45.43 (~v101(constB33)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5389, 288, 5383, 5380])).
% 72.24/45.43 tff(5391,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5392,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5393,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5392, 5391])).
% 72.24/45.43 tff(5394,plain,
% 72.24/45.43 (v101(constB33) | (~v100(constB33))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5393, 305, 5383])).
% 72.24/45.43 tff(5395,plain,
% 72.24/45.43 (~v100(constB33)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5394, 5390])).
% 72.24/45.43 tff(5396,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5397,plain,
% 72.24/45.43 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5398,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5397])).
% 72.24/45.43 tff(5399,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5398, 5396])).
% 72.24/45.43 tff(5400,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5401,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 72.24/45.43 tff(5402,plain,
% 72.24/45.43 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5401, 662, 5383])).
% 72.24/45.43 tff(5403,plain,
% 72.24/45.43 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5402, 5395])).
% 72.24/45.43 tff(5404,plain,
% 72.24/45.43 (v90(constB33, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5403, 5377])).
% 72.24/45.43 tff(5405,plain,
% 72.24/45.43 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))))),
% 72.24/45.43 inference(bind,[status(th)],[])).
% 72.24/45.43 tff(5406,plain,
% 72.24/45.43 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.24/45.43 inference(quant_intro,[status(thm)],[5405])).
% 72.24/45.43 tff(5407,plain,
% 72.24/45.43 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5408,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 72.24/45.43 tff(5409,plain,
% 72.24/45.43 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5408, 5407])).
% 72.24/45.43 tff(5410,plain,(
% 72.24/45.43 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.24/45.43 inference(skolemize,[status(sab)],[5409])).
% 72.24/45.43 tff(5411,plain,
% 72.24/45.43 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5410, 5406])).
% 72.24/45.43 tff(5412,plain,
% 72.24/45.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB33, bitIndex2)) | (~v120(constB33)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB33, bitIndex2)) | (~v120(constB33)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5413,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB33, bitIndex2)) | (~v120(constB33)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5414,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB33, bitIndex2)) | (~v120(constB33))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 72.24/45.43 tff(5415,plain,
% 72.24/45.43 (~v120(constB33)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5414, 5411, 5404])).
% 72.24/45.43 tff(5416,plain,
% 72.24/45.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5417,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5418,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 72.24/45.43 tff(5419,plain,
% 72.24/45.43 (~v130(constB31, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5418, 2138, 5283])).
% 72.24/45.43 tff(5420,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5421,plain,
% 72.24/45.43 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5422,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5421])).
% 72.24/45.43 tff(5423,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5422, 5420])).
% 72.24/45.43 tff(5424,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5425,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 72.24/45.43 tff(5426,plain,
% 72.24/45.43 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5425, 695, 5303])).
% 72.24/45.43 tff(5427,plain,
% 72.24/45.43 (~v127(constB31, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5426, 5419])).
% 72.24/45.43 tff(5428,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5429,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5430,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5429, 5428])).
% 72.24/45.43 tff(5431,plain,
% 72.24/45.43 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5430, 713, 5315])).
% 72.24/45.43 tff(5432,plain,
% 72.24/45.43 (~v129(constB32, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5431, 5427])).
% 72.24/45.43 tff(5433,assumption,(v122(constB31)), introduced(assumption)).
% 72.24/45.43 tff(5434,plain,
% 72.24/45.43 (v116(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5286, 1997, 5433])).
% 72.24/45.43 tff(5435,plain,
% 72.24/45.43 (v115(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5290, 427, 5434])).
% 72.24/45.43 tff(5436,plain,
% 72.24/45.43 (v114(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5294, 438, 5435])).
% 72.24/45.43 tff(5437,plain,
% 72.24/45.43 (v113(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5298, 449, 5436])).
% 72.24/45.43 tff(5438,assumption,(~v26(constB31)), introduced(assumption)).
% 72.24/45.43 tff(5439,plain,
% 72.24/45.43 ((~v113(constB31)) | v112(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5306, 463, 5438])).
% 72.24/45.43 tff(5440,plain,
% 72.24/45.43 (v112(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5439, 5437])).
% 72.24/45.43 tff(5441,plain,
% 72.24/45.43 (v108(constB31)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5311, 475, 5440])).
% 72.24/45.43 tff(5442,plain,
% 72.24/45.43 (v110(constB32)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5322, 5441])).
% 72.24/45.43 tff(5443,plain,
% 72.24/45.43 (v100(constB32)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5354, 5442])).
% 72.24/45.43 tff(5444,plain,
% 72.24/45.43 (v130(constB31, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5358, 2079, 5433])).
% 72.24/45.43 tff(5445,plain,
% 72.24/45.43 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5362, 596, 5438])).
% 72.24/45.43 tff(5446,plain,
% 72.24/45.43 (v127(constB31, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5445, 5444])).
% 72.24/45.43 tff(5447,plain,
% 72.24/45.43 (v129(constB32, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5368, 5446])).
% 72.24/45.43 tff(5448,plain,
% 72.24/45.43 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5375, 626, 5447])).
% 72.24/45.43 tff(5449,plain,
% 72.24/45.43 (v90(constB32, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5448, 5443])).
% 72.24/45.43 tff(5450,plain,
% 72.24/45.43 (v90(constB33, bitIndex2)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5403, 5449])).
% 72.24/45.43 tff(5451,assumption,(~v129(constB32, bitIndex1)), introduced(assumption)).
% 72.24/45.43 tff(5452,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5453,plain,
% 72.24/45.43 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5454,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5453])).
% 72.24/45.43 tff(5455,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5454, 5452])).
% 72.24/45.43 tff(5456,plain,
% 72.24/45.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5457,plain,
% 72.24/45.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 72.24/45.43 tff(5458,plain,
% 72.24/45.43 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5457, 728, 5451])).
% 72.24/45.43 tff(5459,plain,
% 72.24/45.43 (~v90(constB32, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5458, 5443])).
% 72.24/45.43 tff(5460,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5461,plain,
% 72.24/45.43 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5462,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5461])).
% 72.24/45.43 tff(5463,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5462, 5460])).
% 72.24/45.43 tff(5464,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5465,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 72.24/45.43 tff(5466,plain,
% 72.24/45.43 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5465, 341, 5383])).
% 72.24/45.43 tff(5467,plain,
% 72.24/45.43 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5466, 5395])).
% 72.24/45.43 tff(5468,plain,
% 72.24/45.43 (~v90(constB33, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5467, 5459])).
% 72.24/45.43 tff(5469,plain,
% 72.24/45.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5470,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5471,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 72.24/45.43 tff(5472,plain,
% 72.24/45.43 (~v130(constB31, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5471, 2182, 5433])).
% 72.24/45.43 tff(5473,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5474,plain,
% 72.24/45.43 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5475,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5474])).
% 72.24/45.43 tff(5476,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5475, 5473])).
% 72.24/45.43 tff(5477,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5478,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 72.24/45.43 tff(5479,plain,
% 72.24/45.43 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5478, 769, 5438])).
% 72.24/45.43 tff(5480,plain,
% 72.24/45.43 (~v127(constB31, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5479, 5472])).
% 72.24/45.43 tff(5481,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5482,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5483,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5482, 5481])).
% 72.24/45.43 tff(5484,plain,
% 72.24/45.43 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5483, 787, 5315])).
% 72.24/45.43 tff(5485,plain,
% 72.24/45.43 (~v129(constB32, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5484, 5480])).
% 72.24/45.43 tff(5486,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5487,plain,
% 72.24/45.43 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5488,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5487])).
% 72.24/45.43 tff(5489,plain,
% 72.24/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5488, 5486])).
% 72.24/45.43 tff(5490,plain,
% 72.24/45.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5491,plain,
% 72.24/45.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 72.24/45.43 tff(5492,plain,
% 72.24/45.43 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5491, 802, 5485])).
% 72.24/45.43 tff(5493,plain,
% 72.24/45.43 (~v90(constB32, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5492, 5443])).
% 72.24/45.43 tff(5494,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5495,plain,
% 72.24/45.43 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5496,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 72.24/45.43 inference(monotonicity,[status(thm)],[5495])).
% 72.24/45.43 tff(5497,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.24/45.43 inference(transitivity,[status(thm)],[5496, 5494])).
% 72.24/45.43 tff(5498,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5499,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 72.24/45.43 tff(5500,plain,
% 72.24/45.43 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5499, 362, 5383])).
% 72.24/45.43 tff(5501,plain,
% 72.24/45.43 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5500, 5395])).
% 72.24/45.43 tff(5502,plain,
% 72.24/45.43 (~v90(constB33, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5501, 5493])).
% 72.24/45.43 tff(5503,assumption,(~v123(constB33)), introduced(assumption)).
% 72.24/45.43 tff(5504,plain,
% 72.24/45.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5505,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5506,plain,
% 72.24/45.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 72.24/45.43 tff(5507,plain,
% 72.24/45.43 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5506, 829, 5503])).
% 72.24/45.43 tff(5508,plain,
% 72.24/45.43 ($false),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5507, 5502, 5468, 5450])).
% 72.24/45.43 tff(5509,plain,((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1) | v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.43 tff(5510,plain,
% 72.24/45.43 ((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5509, 5303])).
% 72.24/45.43 tff(5511,plain,
% 72.24/45.43 (v123(constB33)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5510, 5432, 5283])).
% 72.24/45.43 tff(5512,plain,
% 72.24/45.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5513,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5514,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5513, 5512])).
% 72.24/45.43 tff(5515,plain,
% 72.24/45.43 (~v130(constB33, bitIndex0)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5514, 1057, 5511])).
% 72.24/45.43 tff(5516,assumption,(~v130(constB33, bitIndex0)), introduced(assumption)).
% 72.24/45.43 tff(5517,plain,
% 72.24/45.43 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB33)) | v130(constB33, bitIndex0))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5518,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB33)) | v130(constB33, bitIndex0))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5519,plain,
% 72.24/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB33)) | v130(constB33, bitIndex0)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 72.24/45.43 tff(5520,plain,
% 72.24/45.43 (~v124(constB33)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5519, 3911, 5516])).
% 72.24/45.43 tff(5521,assumption,(~v90(constB34, bitIndex2)), introduced(assumption)).
% 72.24/45.43 tff(5522,assumption,(~v120(constB33)), introduced(assumption)).
% 72.24/45.43 tff(5523,assumption,(~v100(constB34)), introduced(assumption)).
% 72.24/45.43 tff(5524,plain,
% 72.24/45.43 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5525,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 72.24/45.43 tff(5526,plain,
% 72.24/45.43 (nextState(constB33, constB34)),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 72.24/45.43 tff(5527,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5528,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 72.24/45.43 inference(quant_inst,[status(thm)],[])).
% 72.24/45.43 tff(5529,plain,
% 72.24/45.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 72.24/45.43 inference(modus_ponens,[status(thm)],[5528, 5527])).
% 72.24/45.43 tff(5530,plain,
% 72.24/45.43 (~v104(constB34)),
% 72.24/45.43 inference(unit_resolution,[status(thm)],[5529, 510, 5526, 5380])).
% 72.24/45.43 tff(5531,plain,
% 72.24/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 72.24/45.43 inference(rewrite,[status(thm)],[])).
% 72.24/45.43 tff(5532,plain,
% 72.24/45.43 (((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5533,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5532])).
% 72.24/45.44 tff(5534,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5533, 5531])).
% 72.24/45.44 tff(5535,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5536,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 72.24/45.44 tff(5537,plain,
% 72.24/45.44 (v104(constB34) | v102(constB34)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5536, 524, 5526])).
% 72.24/45.44 tff(5538,plain,
% 72.24/45.44 (v102(constB34)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5537, 5530])).
% 72.24/45.44 tff(5539,plain,
% 72.24/45.44 (v1(constB34) <=> v1(constB34)),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5540,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 72.24/45.44 tff(5541,plain,
% 72.24/45.44 (v1(constB34)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5540, 5539])).
% 72.24/45.44 tff(5542,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5543,plain,
% 72.24/45.44 (((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))) <=> ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5544,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5543])).
% 72.24/45.44 tff(5545,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5544, 5542])).
% 72.24/45.44 tff(5546,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5547,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 72.24/45.44 tff(5548,plain,
% 72.24/45.44 (v101(constB34) | (~v102(constB34))),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5547, 545, 5526, 5541])).
% 72.24/45.44 tff(5549,plain,
% 72.24/45.44 (v101(constB34)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5548, 5538])).
% 72.24/45.44 tff(5550,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5551,plain,
% 72.24/45.44 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5552,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5551])).
% 72.24/45.44 tff(5553,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5552, 5550])).
% 72.24/45.44 tff(5554,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5555,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 72.24/45.44 tff(5556,plain,
% 72.24/45.44 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5555, 563, 5526])).
% 72.24/45.44 tff(5557,plain,
% 72.24/45.44 (v100(constB34) | (~v110(constB34))),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5556, 5549])).
% 72.24/45.44 tff(5558,plain,
% 72.24/45.44 (~v110(constB34)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5557, 5523])).
% 72.24/45.44 tff(5559,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5560,plain,
% 72.24/45.44 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5561,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5560])).
% 72.24/45.44 tff(5562,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5561, 5559])).
% 72.24/45.44 tff(5563,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5564,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 72.24/45.44 tff(5565,plain,
% 72.24/45.44 (v110(constB34) | (~v108(constB33))),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5564, 492, 5526])).
% 72.24/45.44 tff(5566,plain,
% 72.24/45.44 (~v108(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5565, 5558])).
% 72.24/45.44 tff(5567,assumption,(~v108(constB33)), introduced(assumption)).
% 72.24/45.44 tff(5568,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5569,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5570,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 72.24/45.44 tff(5571,plain,
% 72.24/45.44 (~v112(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5570, 475, 5567])).
% 72.24/45.44 tff(5572,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB33) | (~v26(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB33) | (~v26(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5573,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB33) | (~v26(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5574,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB33) | (~v26(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5573, 5572])).
% 72.24/45.44 tff(5575,plain,
% 72.24/45.44 (~v26(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5574, 1807, 5567])).
% 72.24/45.44 tff(5576,assumption,(v113(constB33)), introduced(assumption)).
% 72.24/45.44 tff(5577,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5578,plain,
% 72.24/45.44 ((v26(constB33) | (~v113(constB33)) | v112(constB33)) <=> (v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5579,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5578])).
% 72.24/45.44 tff(5580,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5579, 5577])).
% 72.24/45.44 tff(5581,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5582,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 72.24/45.44 tff(5583,plain,
% 72.24/45.44 (v26(constB33) | v112(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5582, 463, 5576])).
% 72.24/45.44 tff(5584,plain,
% 72.24/45.44 ($false),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5583, 5575, 5571])).
% 72.24/45.44 tff(5585,plain,(v108(constB33) | (~v113(constB33))), inference(lemma,lemma(discharge,[]))).
% 72.24/45.44 tff(5586,plain,
% 72.24/45.44 (~v113(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5585, 5566])).
% 72.24/45.44 tff(5587,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5588,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5589,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5588, 5587])).
% 72.24/45.44 tff(5590,plain,
% 72.24/45.44 (~v114(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5589, 449, 5586])).
% 72.24/45.44 tff(5591,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5592,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5593,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5592, 5591])).
% 72.24/45.44 tff(5594,plain,
% 72.24/45.44 (~v115(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5593, 438, 5590])).
% 72.24/45.44 tff(5595,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB33) | (~v116(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB33) | (~v116(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5596,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB33) | (~v116(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5597,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB33) | (~v116(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5596, 5595])).
% 72.24/45.44 tff(5598,plain,
% 72.24/45.44 (~v116(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5597, 427, 5594])).
% 72.24/45.44 tff(5599,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB33) | (~v117(constB33)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB33) | (~v117(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5600,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB33) | (~v117(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5601,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB33) | (~v117(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 72.24/45.44 tff(5602,plain,
% 72.24/45.44 (~v117(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5601, 416, 5598])).
% 72.24/45.44 tff(5603,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB33) | (~v118(constB33)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB33) | (~v118(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5604,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB33) | (~v118(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5605,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB33) | (~v118(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 72.24/45.44 tff(5606,plain,
% 72.24/45.44 (~v118(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5605, 405, 5602])).
% 72.24/45.44 tff(5607,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5608,plain,
% 72.24/45.44 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)) <=> ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5609,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5608])).
% 72.24/45.44 tff(5610,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5609, 5607])).
% 72.24/45.44 tff(5611,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5612,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 72.24/45.44 tff(5613,plain,
% 72.24/45.44 ((~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5612, 662, 5526])).
% 72.24/45.44 tff(5614,plain,
% 72.24/45.44 (~v90(constB33, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5613, 5523, 5521])).
% 72.24/45.44 tff(5615,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB33, bitIndex2) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB33, bitIndex2) | (~v123(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5616,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB33, bitIndex2) | (~v123(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5617,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB33, bitIndex2) | (~v123(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 72.24/45.44 tff(5618,plain,
% 72.24/45.44 (~v123(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5617, 3717, 5614])).
% 72.24/45.44 tff(5619,plain,
% 72.24/45.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB33)) | v130(constB33, bitIndex0))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5620,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB33)) | v130(constB33, bitIndex0))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5621,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB33)) | v130(constB33, bitIndex0)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 72.24/45.44 tff(5622,plain,
% 72.24/45.44 (~v121(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5621, 1945, 5516])).
% 72.24/45.44 tff(5623,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB33) | (~v122(constB33)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB33) | (~v122(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5624,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB33) | (~v122(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5625,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB33) | (~v122(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 72.24/45.44 tff(5626,plain,
% 72.24/45.44 (~v122(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5625, 1997, 5598])).
% 72.24/45.44 tff(5627,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5628,plain,
% 72.24/45.44 ((v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | v130(constB33, bitIndex0)) <=> (v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5629,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33)))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5628])).
% 72.24/45.44 tff(5630,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5629, 5627])).
% 72.24/45.44 tff(5631,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | v130(constB33, bitIndex0))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5632,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB33, bitIndex0) | v124(constB33) | v120(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 72.24/45.44 tff(5633,plain,
% 72.24/45.44 (v130(constB33, bitIndex0) | v124(constB33) | v119(constB33) | v121(constB33) | v122(constB33) | v123(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5632, 1396, 5522])).
% 72.24/45.44 tff(5634,plain,
% 72.24/45.44 (v119(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5633, 5626, 5622, 5618, 5516, 5520])).
% 72.24/45.44 tff(5635,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB33) | (~v119(constB33)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB33) | (~v119(constB33)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5636,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB33) | (~v119(constB33)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5637,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB33) | (~v119(constB33))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 72.24/45.44 tff(5638,plain,
% 72.24/45.44 ($false),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5637, 394, 5634, 5606])).
% 72.24/45.44 tff(5639,plain,(v100(constB34) | v130(constB33, bitIndex0) | v120(constB33) | v90(constB34, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.44 tff(5640,plain,
% 72.24/45.44 (v100(constB34)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5639, 5516, 5522, 5521])).
% 72.24/45.44 tff(5641,plain,
% 72.24/45.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5642,plain,
% 72.24/45.44 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5643,plain,
% 72.24/45.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5642])).
% 72.24/45.44 tff(5644,plain,
% 72.24/45.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5643, 5641])).
% 72.24/45.44 tff(5645,plain,
% 72.24/45.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5646,plain,
% 72.24/45.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 72.24/45.44 tff(5647,plain,
% 72.24/45.44 ((~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5646, 626, 5521])).
% 72.24/45.44 tff(5648,plain,
% 72.24/45.44 (~v129(constB34, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5647, 5640])).
% 72.24/45.44 tff(5649,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5650,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5651,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 72.24/45.44 tff(5652,plain,
% 72.24/45.44 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5651, 611, 5526])).
% 72.24/45.44 tff(5653,plain,
% 72.24/45.44 (~v127(constB33, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5652, 5648])).
% 72.24/45.44 tff(5654,assumption,(v26(constB33)), introduced(assumption)).
% 72.24/45.44 tff(5655,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5656,plain,
% 72.24/45.44 ($false),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5655, 26, 5654])).
% 72.24/45.44 tff(5657,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.44 tff(5658,plain,
% 72.24/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5659,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5660,plain,
% 72.24/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 72.24/45.44 tff(5661,plain,
% 72.24/45.44 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5660, 596, 5657])).
% 72.24/45.44 tff(5662,plain,
% 72.24/45.44 (~v130(constB33, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5661, 5653])).
% 72.24/45.44 tff(5663,plain,
% 72.24/45.44 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5664,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5665,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 72.24/45.44 tff(5666,plain,
% 72.24/45.44 (~v123(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5665, 917, 5662])).
% 72.24/45.44 tff(5667,plain,
% 72.24/45.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5668,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5669,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB33)) | v130(constB33, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5668, 5667])).
% 72.24/45.44 tff(5670,plain,
% 72.24/45.44 (~v122(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5669, 2079, 5662])).
% 72.24/45.44 tff(5671,plain,
% 72.24/45.44 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5672,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB33)) | v130(constB33, bitIndex2))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5673,plain,
% 72.24/45.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB33)) | v130(constB33, bitIndex2)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5672, 5671])).
% 72.24/45.44 tff(5674,plain,
% 72.24/45.44 (~v119(constB33)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5673, 582, 5662])).
% 72.24/45.44 tff(5675,plain,
% 72.24/45.44 ($false),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5633, 5674, 5670, 5622, 5666, 5516, 5520])).
% 72.24/45.44 tff(5676,plain,(v130(constB33, bitIndex0) | v120(constB33) | v90(constB34, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.44 tff(5677,plain,
% 72.24/45.44 (v90(constB34, bitIndex2)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5676, 5515, 5415])).
% 72.24/45.44 tff(5678,plain,
% 72.24/45.44 ((~v1(constB35)) <=> (~v1(constB35))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5679,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 72.24/45.44 tff(5680,plain,
% 72.24/45.44 (~v1(constB35)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 72.24/45.44 tff(5681,plain,
% 72.24/45.44 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5682,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 72.24/45.44 tff(5683,plain,
% 72.24/45.44 (nextState(constB34, constB35)),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 72.24/45.44 tff(5684,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5685,plain,
% 72.24/45.44 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5686,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 72.24/45.44 inference(monotonicity,[status(thm)],[5685])).
% 72.24/45.44 tff(5687,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.24/45.44 inference(transitivity,[status(thm)],[5686, 5684])).
% 72.24/45.44 tff(5688,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 72.24/45.44 inference(quant_inst,[status(thm)],[])).
% 72.24/45.44 tff(5689,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 72.24/45.44 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 72.24/45.44 tff(5690,plain,
% 72.24/45.44 (~v101(constB35)),
% 72.24/45.44 inference(unit_resolution,[status(thm)],[5689, 288, 5683, 5680])).
% 72.24/45.44 tff(5691,plain,
% 72.24/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 72.24/45.44 inference(rewrite,[status(thm)],[])).
% 72.24/45.44 tff(5692,plain,
% 72.24/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5693,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5692, 5691])).
% 72.24/45.45 tff(5694,plain,
% 72.24/45.45 (v101(constB35) | (~v100(constB35))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5693, 305, 5683])).
% 72.24/45.45 tff(5695,plain,
% 72.24/45.45 (~v100(constB35)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5694, 5690])).
% 72.24/45.45 tff(5696,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5697,plain,
% 72.24/45.45 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5698,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 72.24/45.45 inference(monotonicity,[status(thm)],[5697])).
% 72.24/45.45 tff(5699,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.24/45.45 inference(transitivity,[status(thm)],[5698, 5696])).
% 72.24/45.45 tff(5700,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5701,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 72.24/45.45 tff(5702,plain,
% 72.24/45.45 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5701, 662, 5683])).
% 72.24/45.45 tff(5703,plain,
% 72.24/45.45 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5702, 5695])).
% 72.24/45.45 tff(5704,plain,
% 72.24/45.45 (v90(constB35, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5703, 5677])).
% 72.24/45.45 tff(5705,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5706,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5707,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 72.24/45.45 tff(5708,plain,
% 72.24/45.45 (v130(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5707, 976, 5511])).
% 72.24/45.45 tff(5709,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5710,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5711,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 72.24/45.45 tff(5712,plain,
% 72.24/45.45 ((~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5711, 990, 5657])).
% 72.24/45.45 tff(5713,plain,
% 72.24/45.45 (v127(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5712, 5708])).
% 72.24/45.45 tff(5714,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5715,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5716,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 72.24/45.45 tff(5717,plain,
% 72.24/45.45 ((~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5716, 1005, 5526])).
% 72.24/45.45 tff(5718,plain,
% 72.24/45.45 (v129(constB34, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5717, 5713])).
% 72.24/45.45 tff(5719,assumption,(~v113(constB33)), introduced(assumption)).
% 72.24/45.45 tff(5720,plain,
% 72.24/45.45 (~v114(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5589, 449, 5719])).
% 72.24/45.45 tff(5721,plain,
% 72.24/45.45 (~v115(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5593, 438, 5720])).
% 72.24/45.45 tff(5722,plain,
% 72.24/45.45 (~v116(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5597, 427, 5721])).
% 72.24/45.45 tff(5723,plain,
% 72.24/45.45 (~v122(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5625, 1997, 5722])).
% 72.24/45.45 tff(5724,plain,
% 72.24/45.45 (~v117(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5601, 416, 5722])).
% 72.24/45.45 tff(5725,plain,
% 72.24/45.45 (~v118(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5605, 405, 5724])).
% 72.24/45.45 tff(5726,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB33) | (~v120(constB33)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB33) | (~v120(constB33)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5727,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB33) | (~v120(constB33)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5728,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB33) | (~v120(constB33))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 72.24/45.45 tff(5729,plain,
% 72.24/45.45 (~v120(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5728, 1494, 5725])).
% 72.24/45.45 tff(5730,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB33) | (~v121(constB33)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB33) | (~v121(constB33)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5731,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB33) | (~v121(constB33)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5732,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB33) | (~v121(constB33))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 72.24/45.45 tff(5733,plain,
% 72.24/45.45 (~v121(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5732, 1775, 5724])).
% 72.24/45.45 tff(5734,plain,
% 72.24/45.45 (~v119(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5637, 394, 5725])).
% 72.24/45.45 tff(5735,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB33) | (~v125(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB33) | (~v125(constB33)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5736,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB33) | (~v125(constB33)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5737,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB33) | (~v125(constB33))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 72.24/45.45 tff(5738,plain,
% 72.24/45.45 (~v125(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5737, 1112, 5719])).
% 72.24/45.45 tff(5739,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5740,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5741,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 72.24/45.45 tff(5742,plain,
% 72.24/45.45 (~v123(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5741, 840, 5721])).
% 72.24/45.45 tff(5743,assumption,(~v90(constB33, bitIndex0)), introduced(assumption)).
% 72.24/45.45 tff(5744,assumption,(~v121(constB33)), introduced(assumption)).
% 72.24/45.45 tff(5745,assumption,(~v119(constB33)), introduced(assumption)).
% 72.24/45.45 tff(5746,assumption,(~v90(constB33, bitIndex2)), introduced(assumption)).
% 72.24/45.45 tff(5747,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5748,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5749,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 72.24/45.45 tff(5750,plain,
% 72.24/45.45 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5749, 1734, 5744])).
% 72.24/45.45 tff(5751,plain,
% 72.24/45.45 (~v90(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5750, 5746, 5743])).
% 72.24/45.45 tff(5752,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5753,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5754,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 72.24/45.45 tff(5755,plain,
% 72.24/45.45 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5754, 383, 5745])).
% 72.24/45.45 tff(5756,plain,
% 72.24/45.45 ($false),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5755, 5751, 5746, 5743])).
% 72.24/45.45 tff(5757,plain,(v90(constB33, bitIndex2) | v90(constB33, bitIndex0) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.45 tff(5758,plain,
% 72.24/45.45 (v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5757, 5743, 5745, 5744])).
% 72.24/45.45 tff(5759,assumption,(~v125(constB33)), introduced(assumption)).
% 72.24/45.45 tff(5760,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5761,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5762,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 72.24/45.45 tff(5763,plain,
% 72.24/45.45 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5762, 1101, 5759])).
% 72.24/45.45 tff(5764,plain,
% 72.24/45.45 (~v90(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5763, 5758, 5743])).
% 72.24/45.45 tff(5765,plain,
% 72.24/45.45 ($false),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5507, 5764, 5758, 5743])).
% 72.24/45.45 tff(5766,plain,(v90(constB33, bitIndex0) | v123(constB33) | v125(constB33) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.45 tff(5767,plain,
% 72.24/45.45 (v90(constB33, bitIndex0)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5766, 5742, 5738, 5734, 5733])).
% 72.24/45.45 tff(5768,assumption,(v90(constB33, bitIndex0)), introduced(assumption)).
% 72.24/45.45 tff(5769,assumption,(~v122(constB33)), introduced(assumption)).
% 72.24/45.45 tff(5770,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5771,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5772,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 72.24/45.45 tff(5773,plain,
% 72.24/45.45 ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5772, 1986, 5769])).
% 72.24/45.45 tff(5774,plain,
% 72.24/45.45 (~v90(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5773, 5746, 5768])).
% 72.24/45.45 tff(5775,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5776,plain,
% 72.24/45.45 (((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)) <=> ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5777,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)))),
% 72.24/45.45 inference(monotonicity,[status(thm)],[5776])).
% 72.24/45.45 tff(5778,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 72.24/45.45 inference(transitivity,[status(thm)],[5777, 5775])).
% 72.24/45.45 tff(5779,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5780,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 72.24/45.45 tff(5781,plain,
% 72.24/45.45 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5780, 1480, 5522])).
% 72.24/45.45 tff(5782,plain,
% 72.24/45.45 ($false),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5781, 5774, 5746, 5768])).
% 72.24/45.45 tff(5783,plain,(v90(constB33, bitIndex2) | (~v90(constB33, bitIndex0)) | v120(constB33) | v122(constB33)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.45 tff(5784,plain,
% 72.24/45.45 (v90(constB33, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5783, 5767, 5729, 5723])).
% 72.24/45.45 tff(5785,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5786,plain,
% 72.24/45.45 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5787,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))))),
% 72.24/45.45 inference(monotonicity,[status(thm)],[5786])).
% 72.24/45.45 tff(5788,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 72.24/45.45 inference(transitivity,[status(thm)],[5787, 5785])).
% 72.24/45.45 tff(5789,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5790,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 72.24/45.45 tff(5791,plain,
% 72.24/45.45 (v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5790, 320, 5383])).
% 72.24/45.45 tff(5792,plain,
% 72.24/45.45 (v90(constB32, bitIndex2) | (~v90(constB33, bitIndex2))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5791, 5395])).
% 72.24/45.45 tff(5793,plain,
% 72.24/45.45 (v90(constB32, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5792, 5784])).
% 72.24/45.45 tff(5794,plain,
% 72.24/45.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB33) | (~v124(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB33) | (~v124(constB33)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5795,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB33) | (~v124(constB33)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5796,plain,
% 72.24/45.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB33) | (~v124(constB33))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 72.24/45.45 tff(5797,plain,
% 72.24/45.45 (~v124(constB33)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5796, 3631, 5720])).
% 72.24/45.45 tff(5798,plain,
% 72.24/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5799,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5800,plain,
% 72.24/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33)),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 72.24/45.45 tff(5801,plain,
% 72.24/45.45 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5800, 3620, 5797])).
% 72.24/45.45 tff(5802,plain,
% 72.24/45.45 (v90(constB33, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5801, 5784, 5767])).
% 72.24/45.45 tff(5803,plain,
% 72.24/45.45 (v90(constB32, bitIndex1)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5467, 5802])).
% 72.24/45.45 tff(5804,plain,
% 72.24/45.45 (~v100(constB32)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5458, 5803])).
% 72.24/45.45 tff(5805,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5806,plain,
% 72.24/45.45 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))) <=> (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5807,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))))),
% 72.24/45.45 inference(monotonicity,[status(thm)],[5806])).
% 72.24/45.45 tff(5808,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 72.24/45.45 inference(transitivity,[status(thm)],[5807, 5805])).
% 72.24/45.45 tff(5809,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5810,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 72.24/45.45 tff(5811,plain,
% 72.24/45.45 (v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5810, 320, 5315])).
% 72.24/45.45 tff(5812,plain,
% 72.24/45.45 (v90(constB31, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5811, 5804, 5793])).
% 72.24/45.45 tff(5813,plain,
% 72.24/45.45 (v90(constB30, bitIndex2)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5216, 5812])).
% 72.24/45.45 tff(5814,assumption,(~v90(constB29, bitIndex0)), introduced(assumption)).
% 72.24/45.45 tff(5815,plain,
% 72.24/45.45 (v90(constB32, bitIndex0)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5501, 5767])).
% 72.24/45.45 tff(5816,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5817,plain,
% 72.24/45.45 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))) <=> (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5818,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))))),
% 72.24/45.45 inference(monotonicity,[status(thm)],[5817])).
% 72.24/45.45 tff(5819,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 72.24/45.45 inference(transitivity,[status(thm)],[5818, 5816])).
% 72.24/45.45 tff(5820,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 72.24/45.45 inference(quant_inst,[status(thm)],[])).
% 72.24/45.45 tff(5821,plain,
% 72.24/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 72.24/45.45 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 72.24/45.45 tff(5822,plain,
% 72.24/45.45 (v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5821, 362, 5315])).
% 72.24/45.45 tff(5823,plain,
% 72.24/45.45 (v90(constB31, bitIndex0)),
% 72.24/45.45 inference(unit_resolution,[status(thm)],[5822, 5804, 5815])).
% 72.24/45.45 tff(5824,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5825,plain,
% 72.24/45.45 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 72.24/45.45 inference(rewrite,[status(thm)],[])).
% 72.24/45.45 tff(5826,plain,
% 72.24/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5825])).
% 72.24/45.46 tff(5827,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5826, 5824])).
% 72.24/45.46 tff(5828,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5829,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 72.24/45.46 tff(5830,plain,
% 72.24/45.46 (v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5829, 362, 5196])).
% 72.24/45.46 tff(5831,plain,
% 72.24/45.46 (v90(constB30, bitIndex0) | (~v90(constB31, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5830, 5208])).
% 72.24/45.46 tff(5832,plain,
% 72.24/45.46 (v90(constB30, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5831, 5823])).
% 72.24/45.46 tff(5833,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5834,plain,
% 72.24/45.46 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))) <=> (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5835,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5834])).
% 72.24/45.46 tff(5836,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5835, 5833])).
% 72.24/45.46 tff(5837,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5838,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 72.24/45.46 tff(5839,plain,
% 72.24/45.46 (v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5838, 362, 5125])).
% 72.24/45.46 tff(5840,plain,
% 72.24/45.46 (v100(constB30)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5839, 5832, 5814])).
% 72.24/45.46 tff(5841,plain,
% 72.24/45.46 (v129(constB30, bitIndex2)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5188, 1304, 5840, 5813])).
% 72.24/45.46 tff(5842,plain,
% 72.24/45.46 (v127(constB29, bitIndex2)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5181, 5841])).
% 72.24/45.46 tff(5843,assumption,(~v130(constB29, bitIndex2)), introduced(assumption)).
% 72.24/45.46 tff(5844,plain,
% 72.24/45.46 ((~v127(constB29, bitIndex2)) | v26(constB29)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5175, 1271, 5843])).
% 72.24/45.46 tff(5845,plain,
% 72.24/45.46 (v26(constB29)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5844, 5842])).
% 72.24/45.46 tff(5846,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5847,plain,
% 72.24/45.46 (((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5848,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5847])).
% 72.24/45.46 tff(5849,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5848, 5846])).
% 72.24/45.46 tff(5850,plain,
% 72.24/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5851,plain,
% 72.24/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5850, 5849])).
% 72.24/45.46 tff(5852,plain,
% 72.24/45.46 (v129(constB30, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5851, 802, 5840, 5832])).
% 72.24/45.46 tff(5853,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5854,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5855,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 72.24/45.46 tff(5856,plain,
% 72.24/45.46 (v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5855, 787, 5125])).
% 72.24/45.46 tff(5857,plain,
% 72.24/45.46 (v127(constB29, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5856, 5852])).
% 72.24/45.46 tff(5858,plain,
% 72.24/45.46 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5859,plain,
% 72.24/45.46 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5860,plain,
% 72.24/45.46 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 72.24/45.46 tff(5861,plain,
% 72.24/45.46 ($false),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5860, 3193, 5857, 5845])).
% 72.24/45.46 tff(5862,plain,(v113(constB33) | v130(constB29, bitIndex2) | v90(constB29, bitIndex0) | v129(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.46 tff(5863,plain,
% 72.24/45.46 (v113(constB33)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5862, 5432, 5082, 5169])).
% 72.24/45.46 tff(5864,plain,
% 72.24/45.46 (v108(constB33)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5585, 5863])).
% 72.24/45.46 tff(5865,plain,
% 72.24/45.46 (v110(constB34)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5565, 5864])).
% 72.24/45.46 tff(5866,plain,
% 72.24/45.46 (v100(constB34)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5557, 5865])).
% 72.24/45.46 tff(5867,plain,
% 72.24/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5868,plain,
% 72.24/45.46 ((v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5869,plain,
% 72.24/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5868])).
% 72.24/45.46 tff(5870,plain,
% 72.24/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5869, 5867])).
% 72.24/45.46 tff(5871,plain,
% 72.24/45.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5872,plain,
% 72.24/45.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 72.24/45.46 tff(5873,plain,
% 72.24/45.46 (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5872, 1020, 5866])).
% 72.24/45.46 tff(5874,plain,
% 72.24/45.46 (v90(constB34, bitIndex1)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5873, 5718])).
% 72.24/45.46 tff(5875,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5876,plain,
% 72.24/45.46 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5877,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5876])).
% 72.24/45.46 tff(5878,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5877, 5875])).
% 72.24/45.46 tff(5879,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5880,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5879, 5878])).
% 72.24/45.46 tff(5881,plain,
% 72.24/45.46 ((~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5880, 1038, 5683])).
% 72.24/45.46 tff(5882,plain,
% 72.24/45.46 ((~v90(constB34, bitIndex1)) | v90(constB35, bitIndex1)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5881, 5695])).
% 72.24/45.46 tff(5883,plain,
% 72.24/45.46 (v90(constB35, bitIndex1)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5882, 5874])).
% 72.24/45.46 tff(5884,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5885,plain,
% 72.24/45.46 ((v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0))) <=> ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5886,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5885])).
% 72.24/45.46 tff(5887,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5886, 5884])).
% 72.24/45.46 tff(5888,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5889,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 72.24/45.46 tff(5890,plain,
% 72.24/45.46 ((~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5889, 769, 5657])).
% 72.24/45.46 tff(5891,plain,
% 72.24/45.46 (~v127(constB33, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5890, 5515])).
% 72.24/45.46 tff(5892,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5893,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5894,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 72.24/45.46 tff(5895,plain,
% 72.24/45.46 (v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5894, 787, 5526])).
% 72.24/45.46 tff(5896,plain,
% 72.24/45.46 (~v129(constB34, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5895, 5891])).
% 72.24/45.46 tff(5897,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5898,plain,
% 72.24/45.46 (((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5899,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5898])).
% 72.24/45.46 tff(5900,plain,
% 72.24/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5899, 5897])).
% 72.24/45.46 tff(5901,plain,
% 72.24/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5902,plain,
% 72.24/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5901, 5900])).
% 72.24/45.46 tff(5903,plain,
% 72.24/45.46 ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5902, 802, 5866])).
% 72.24/45.46 tff(5904,plain,
% 72.24/45.46 (~v90(constB34, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5903, 5896])).
% 72.24/45.46 tff(5905,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5906,plain,
% 72.24/45.46 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5907,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5906])).
% 72.24/45.46 tff(5908,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5907, 5905])).
% 72.24/45.46 tff(5909,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5910,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 72.24/45.46 tff(5911,plain,
% 72.24/45.46 (v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5910, 362, 5683])).
% 72.24/45.46 tff(5912,plain,
% 72.24/45.46 (v90(constB34, bitIndex0) | (~v90(constB35, bitIndex0))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5911, 5695])).
% 72.24/45.46 tff(5913,plain,
% 72.24/45.46 (~v90(constB35, bitIndex0)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5912, 5904])).
% 72.24/45.46 tff(5914,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5915,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5916,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35)),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 72.24/45.46 tff(5917,plain,
% 72.24/45.46 (v125(constB35)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5916, 1101, 5913, 5883, 5704])).
% 72.24/45.46 tff(5918,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB35) | (~v125(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB35) | (~v125(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5919,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB35) | (~v125(constB35)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5920,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB35) | (~v125(constB35))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 72.24/45.46 tff(5921,plain,
% 72.24/45.46 (v113(constB35)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5920, 1112, 5917])).
% 72.24/45.46 tff(5922,assumption,(v26(constB35)), introduced(assumption)).
% 72.24/45.46 tff(5923,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5924,plain,
% 72.24/45.46 ($false),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5923, 26, 5922])).
% 72.24/45.46 tff(5925,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.46 tff(5926,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5927,plain,
% 72.24/45.46 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5928,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5927])).
% 72.24/45.46 tff(5929,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5928, 5926])).
% 72.24/45.46 tff(5930,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5931,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 72.24/45.46 tff(5932,plain,
% 72.24/45.46 (v112(constB35) | (~v113(constB35))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5931, 463, 5925])).
% 72.24/45.46 tff(5933,plain,
% 72.24/45.46 (v112(constB35)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5932, 5921])).
% 72.24/45.46 tff(5934,plain,
% 72.24/45.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5935,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5936,plain,
% 72.24/45.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 72.24/45.46 tff(5937,plain,
% 72.24/45.46 (v108(constB35)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5936, 475, 5933])).
% 72.24/45.46 tff(5938,plain,
% 72.24/45.46 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5939,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 72.24/45.46 tff(5940,plain,
% 72.24/45.46 (nextState(constB35, constB36)),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 72.24/45.46 tff(5941,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5942,plain,
% 72.24/45.46 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5943,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 72.24/45.46 inference(monotonicity,[status(thm)],[5942])).
% 72.24/45.46 tff(5944,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.24/45.46 inference(transitivity,[status(thm)],[5943, 5941])).
% 72.24/45.46 tff(5945,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5946,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 72.24/45.46 tff(5947,plain,
% 72.24/45.46 (v110(constB36) | (~v108(constB35))),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5946, 492, 5940])).
% 72.24/45.46 tff(5948,plain,
% 72.24/45.46 (v110(constB36)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5947, 5937])).
% 72.24/45.46 tff(5949,plain,
% 72.24/45.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 72.24/45.46 inference(rewrite,[status(thm)],[])).
% 72.24/45.46 tff(5950,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 72.24/45.46 inference(quant_inst,[status(thm)],[])).
% 72.24/45.46 tff(5951,plain,
% 72.24/45.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 72.24/45.46 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 72.24/45.46 tff(5952,plain,
% 72.24/45.46 (~v104(constB36)),
% 72.24/45.46 inference(unit_resolution,[status(thm)],[5951, 510, 5940, 5680])).
% 72.24/45.47 tff(5953,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5954,plain,
% 72.24/45.47 (((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5955,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[5954])).
% 72.24/45.47 tff(5956,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 72.24/45.47 inference(transitivity,[status(thm)],[5955, 5953])).
% 72.24/45.47 tff(5957,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5958,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 72.24/45.47 tff(5959,plain,
% 72.24/45.47 (v104(constB36) | v102(constB36)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5958, 524, 5940])).
% 72.24/45.47 tff(5960,plain,
% 72.24/45.47 (v102(constB36)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5959, 5952])).
% 72.24/45.47 tff(5961,plain,
% 72.24/45.47 (v1(constB36) <=> v1(constB36)),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5962,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 72.24/45.47 tff(5963,plain,
% 72.24/45.47 (v1(constB36)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 72.24/45.47 tff(5964,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5965,plain,
% 72.24/45.47 (((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))) <=> ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5966,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[5965])).
% 72.24/45.47 tff(5967,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[5966, 5964])).
% 72.24/45.47 tff(5968,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5969,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 72.24/45.47 tff(5970,plain,
% 72.24/45.47 (v101(constB36) | (~v102(constB36))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5969, 545, 5940, 5963])).
% 72.24/45.47 tff(5971,plain,
% 72.24/45.47 (v101(constB36)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5970, 5960])).
% 72.24/45.47 tff(5972,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5973,plain,
% 72.24/45.47 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5974,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[5973])).
% 72.24/45.47 tff(5975,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[5974, 5972])).
% 72.24/45.47 tff(5976,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5977,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 72.24/45.47 tff(5978,plain,
% 72.24/45.47 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5977, 563, 5940])).
% 72.24/45.47 tff(5979,plain,
% 72.24/45.47 (v100(constB36) | (~v110(constB36))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5978, 5971])).
% 72.24/45.47 tff(5980,plain,
% 72.24/45.47 (v100(constB36)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5979, 5948])).
% 72.24/45.47 tff(5981,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v124(constB35)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5982,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v124(constB35)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5983,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v124(constB35))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 72.24/45.47 tff(5984,plain,
% 72.24/45.47 (~v124(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5983, 1229, 5883])).
% 72.24/45.47 tff(5985,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB35)) | (~v90(constB35, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5986,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex2)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5987,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB35)) | (~v90(constB35, bitIndex2))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5986, 5985])).
% 72.24/45.47 tff(5988,plain,
% 72.24/45.47 (~v119(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5987, 3402, 5704])).
% 72.24/45.47 tff(5989,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v121(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v121(constB35)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5990,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v121(constB35)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5991,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v121(constB35))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 72.24/45.47 tff(5992,plain,
% 72.24/45.47 (~v121(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5991, 1182, 5704])).
% 72.24/45.47 tff(5993,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v122(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v122(constB35)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5994,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v122(constB35)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5995,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v122(constB35))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 72.24/45.47 tff(5996,plain,
% 72.24/45.47 (~v122(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5995, 1193, 5704])).
% 72.24/45.47 tff(5997,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v120(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v120(constB35)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(5998,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v120(constB35)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(5999,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v120(constB35))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 72.24/45.47 tff(6000,plain,
% 72.24/45.47 (~v120(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[5999, 5411, 5704])).
% 72.24/45.47 tff(6001,plain,
% 72.24/45.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v123(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v123(constB35)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6002,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v123(constB35)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6003,plain,
% 72.24/45.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v123(constB35))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 72.24/45.47 tff(6004,plain,
% 72.24/45.47 (~v123(constB35)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6003, 1218, 5883])).
% 72.24/45.47 tff(6005,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6006,plain,
% 72.24/45.47 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2))) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6007,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6006])).
% 72.24/45.47 tff(6008,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6007, 6005])).
% 72.24/45.47 tff(6009,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6010,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 72.24/45.47 tff(6011,plain,
% 72.24/45.47 (~v130(constB35, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6010, 1254, 6004, 6000, 5996, 5992, 5988, 5984])).
% 72.24/45.47 tff(6012,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6013,plain,
% 72.24/45.47 ((v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2))) <=> ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6014,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6013])).
% 72.24/45.47 tff(6015,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6014, 6012])).
% 72.24/45.47 tff(6016,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6017,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6016, 6015])).
% 72.24/45.47 tff(6018,plain,
% 72.24/45.47 ((~v127(constB35, bitIndex2)) | v130(constB35, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6017, 1271, 5925])).
% 72.24/45.47 tff(6019,plain,
% 72.24/45.47 (~v127(constB35, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6018, 6011])).
% 72.24/45.47 tff(6020,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6021,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6022,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 72.24/45.47 tff(6023,plain,
% 72.24/45.47 (v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6022, 1289, 5940])).
% 72.24/45.47 tff(6024,plain,
% 72.24/45.47 (~v129(constB36, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6023, 6019])).
% 72.24/45.47 tff(6025,plain,
% 72.24/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6026,plain,
% 72.24/45.47 (((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6027,plain,
% 72.24/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6026])).
% 72.24/45.47 tff(6028,plain,
% 72.24/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6027, 6025])).
% 72.24/45.47 tff(6029,plain,
% 72.24/45.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6030,plain,
% 72.24/45.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6029, 6028])).
% 72.24/45.47 tff(6031,plain,
% 72.24/45.47 ((~v90(constB36, bitIndex2)) | (~v100(constB36))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6030, 1304, 6024])).
% 72.24/45.47 tff(6032,plain,
% 72.24/45.47 (~v90(constB36, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6031, 5980])).
% 72.24/45.47 tff(6033,plain,
% 72.24/45.47 ((~v1(constB37)) <=> (~v1(constB37))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6034,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 72.24/45.47 tff(6035,plain,
% 72.24/45.47 (~v1(constB37)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 72.24/45.47 tff(6036,plain,
% 72.24/45.47 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6037,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 72.24/45.47 tff(6038,plain,
% 72.24/45.47 (nextState(constB36, constB37)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6037, 6036])).
% 72.24/45.47 tff(6039,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6040,plain,
% 72.24/45.47 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6041,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6040])).
% 72.24/45.47 tff(6042,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6041, 6039])).
% 72.24/45.47 tff(6043,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6044,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 72.24/45.47 tff(6045,plain,
% 72.24/45.47 (~v101(constB37)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6044, 288, 6038, 6035])).
% 72.24/45.47 tff(6046,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6047,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6048,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 72.24/45.47 tff(6049,plain,
% 72.24/45.47 (v101(constB37) | (~v100(constB37))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6048, 305, 6038])).
% 72.24/45.47 tff(6050,plain,
% 72.24/45.47 (~v100(constB37)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6049, 6045])).
% 72.24/45.47 tff(6051,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6052,plain,
% 72.24/45.47 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6053,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6052])).
% 72.24/45.47 tff(6054,plain,
% 72.24/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6053, 6051])).
% 72.24/45.47 tff(6055,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6056,plain,
% 72.24/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 72.24/45.47 tff(6057,plain,
% 72.24/45.47 (v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6056, 320, 6038])).
% 72.24/45.47 tff(6058,plain,
% 72.24/45.47 (v90(constB36, bitIndex2) | (~v90(constB37, bitIndex2))),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6057, 6050])).
% 72.24/45.47 tff(6059,plain,
% 72.24/45.47 (~v90(constB37, bitIndex2)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6058, 6032])).
% 72.24/45.47 tff(6060,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6061,plain,
% 72.24/45.47 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1))) <=> ((~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6062,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35)))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6061])).
% 72.24/45.47 tff(6063,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35))),
% 72.24/45.47 inference(transitivity,[status(thm)],[6062, 6060])).
% 72.24/45.47 tff(6064,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 72.24/45.47 inference(quant_inst,[status(thm)],[])).
% 72.24/45.47 tff(6065,plain,
% 72.24/45.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB35, bitIndex1)) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35)),
% 72.24/45.47 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 72.24/45.47 tff(6066,plain,
% 72.24/45.47 (~v130(constB35, bitIndex1)),
% 72.24/45.47 inference(unit_resolution,[status(thm)],[6065, 1349, 6004, 6000, 5996, 5992, 5988, 5984])).
% 72.24/45.47 tff(6067,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6068,plain,
% 72.24/45.47 ((v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1))) <=> ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 72.24/45.47 inference(rewrite,[status(thm)],[])).
% 72.24/45.47 tff(6069,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)))),
% 72.24/45.47 inference(monotonicity,[status(thm)],[6068])).
% 72.24/45.47 tff(6070,plain,
% 72.24/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 72.24/45.48 inference(transitivity,[status(thm)],[6069, 6067])).
% 72.24/45.48 tff(6071,plain,
% 72.24/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))),
% 72.24/45.48 inference(quant_inst,[status(thm)],[])).
% 72.24/45.48 tff(6072,plain,
% 72.24/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)),
% 72.24/45.48 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 72.24/45.48 tff(6073,plain,
% 72.24/45.48 ((~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6072, 695, 5925])).
% 72.24/45.48 tff(6074,plain,
% 72.24/45.48 (~v127(constB35, bitIndex1)),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6073, 6066])).
% 72.24/45.48 tff(6075,plain,
% 72.24/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 72.24/45.48 inference(rewrite,[status(thm)],[])).
% 72.24/45.48 tff(6076,plain,
% 72.24/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 72.24/45.48 inference(quant_inst,[status(thm)],[])).
% 72.24/45.48 tff(6077,plain,
% 72.24/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 72.24/45.48 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 72.24/45.48 tff(6078,plain,
% 72.24/45.48 (v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6077, 713, 5940])).
% 72.24/45.48 tff(6079,plain,
% 72.24/45.48 (~v129(constB36, bitIndex1)),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6078, 6074])).
% 72.24/45.48 tff(6080,plain,
% 72.24/45.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 72.24/45.48 inference(rewrite,[status(thm)],[])).
% 72.24/45.48 tff(6081,plain,
% 72.24/45.48 (((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 72.24/45.48 inference(rewrite,[status(thm)],[])).
% 72.24/45.48 tff(6082,plain,
% 72.24/45.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))))),
% 72.24/45.48 inference(monotonicity,[status(thm)],[6081])).
% 72.24/45.48 tff(6083,plain,
% 72.24/45.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 72.24/45.48 inference(transitivity,[status(thm)],[6082, 6080])).
% 72.24/45.48 tff(6084,plain,
% 72.24/45.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))),
% 72.24/45.48 inference(quant_inst,[status(thm)],[])).
% 72.24/45.48 tff(6085,plain,
% 72.24/45.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))),
% 72.24/45.48 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 72.24/45.48 tff(6086,plain,
% 72.24/45.48 ((~v90(constB36, bitIndex1)) | (~v100(constB36))),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6085, 728, 6079])).
% 72.24/45.48 tff(6087,plain,
% 72.24/45.48 (~v90(constB36, bitIndex1)),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6086, 5980])).
% 72.24/45.48 tff(6088,plain,
% 72.24/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 72.24/45.48 inference(rewrite,[status(thm)],[])).
% 72.24/45.48 tff(6089,plain,
% 72.24/45.48 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 72.24/45.48 inference(rewrite,[status(thm)],[])).
% 72.24/45.48 tff(6090,plain,
% 72.24/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))))),
% 72.24/45.48 inference(monotonicity,[status(thm)],[6089])).
% 72.24/45.48 tff(6091,plain,
% 72.24/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 72.24/45.48 inference(transitivity,[status(thm)],[6090, 6088])).
% 72.24/45.48 tff(6092,plain,
% 72.24/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 72.24/45.48 inference(quant_inst,[status(thm)],[])).
% 72.24/45.48 tff(6093,plain,
% 72.24/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 72.24/45.48 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 72.24/45.48 tff(6094,plain,
% 72.24/45.48 (v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6093, 341, 6038])).
% 72.24/45.48 tff(6095,plain,
% 72.24/45.48 (v90(constB36, bitIndex1) | (~v90(constB37, bitIndex1))),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6094, 6050])).
% 72.24/45.48 tff(6096,plain,
% 72.24/45.48 (~v90(constB37, bitIndex1)),
% 72.24/45.48 inference(unit_resolution,[status(thm)],[6095, 6087])).
% 72.24/45.48 tff(6097,plain,
% 72.24/45.48 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6098,plain,
% 72.33/45.48 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0)) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6099,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0)))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6098])).
% 72.33/45.48 tff(6100,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6099, 6097])).
% 72.33/45.48 tff(6101,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6102,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 72.33/45.48 tff(6103,plain,
% 72.33/45.48 (v130(constB35, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6102, 1396, 6004, 6000, 5996, 5992, 5988, 5984])).
% 72.33/45.48 tff(6104,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6105,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6106,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 72.33/45.48 tff(6107,plain,
% 72.33/45.48 ((~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6106, 1413, 5925])).
% 72.33/45.48 tff(6108,plain,
% 72.33/45.48 (v127(constB35, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6107, 6103])).
% 72.33/45.48 tff(6109,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6110,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6111,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 72.33/45.48 tff(6112,plain,
% 72.33/45.48 ((~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6111, 1428, 5940])).
% 72.33/45.48 tff(6113,plain,
% 72.33/45.48 (v129(constB36, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6112, 6108])).
% 72.33/45.48 tff(6114,plain,
% 72.33/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6115,plain,
% 72.33/45.48 ((v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6116,plain,
% 72.33/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6115])).
% 72.33/45.48 tff(6117,plain,
% 72.33/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6116, 6114])).
% 72.33/45.48 tff(6118,plain,
% 72.33/45.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6119,plain,
% 72.33/45.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 72.33/45.48 tff(6120,plain,
% 72.33/45.48 (v90(constB36, bitIndex0) | (~v100(constB36))),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6119, 1443, 6113])).
% 72.33/45.48 tff(6121,plain,
% 72.33/45.48 (v90(constB36, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6120, 5980])).
% 72.33/45.48 tff(6122,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6123,plain,
% 72.33/45.48 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6124,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6123])).
% 72.33/45.48 tff(6125,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6124, 6122])).
% 72.33/45.48 tff(6126,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6127,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 72.33/45.48 tff(6128,plain,
% 72.33/45.48 ((~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6127, 1461, 6038])).
% 72.33/45.48 tff(6129,plain,
% 72.33/45.48 ((~v90(constB36, bitIndex0)) | v90(constB37, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6128, 6050])).
% 72.33/45.48 tff(6130,plain,
% 72.33/45.48 (v90(constB37, bitIndex0)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6129, 6121])).
% 72.33/45.48 tff(6131,plain,
% 72.33/45.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6132,plain,
% 72.33/45.48 (((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) <=> ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6133,plain,
% 72.33/45.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6132])).
% 72.33/45.48 tff(6134,plain,
% 72.33/45.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6133, 6131])).
% 72.33/45.48 tff(6135,plain,
% 72.33/45.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6136,plain,
% 72.33/45.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 72.33/45.48 tff(6137,plain,
% 72.33/45.48 (v120(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6136, 1480, 6130, 6096, 6059])).
% 72.33/45.48 tff(6138,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6139,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6140,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 72.33/45.48 tff(6141,plain,
% 72.33/45.48 (v118(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6140, 1494, 6137])).
% 72.33/45.48 tff(6142,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6143,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6144,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 72.33/45.48 tff(6145,plain,
% 72.33/45.48 (v117(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6144, 405, 6141])).
% 72.33/45.48 tff(6146,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6147,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6148,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 72.33/45.48 tff(6149,plain,
% 72.33/45.48 (v116(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6148, 416, 6145])).
% 72.33/45.48 tff(6150,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6151,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6152,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 72.33/45.48 tff(6153,plain,
% 72.33/45.48 (v115(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6152, 427, 6149])).
% 72.33/45.48 tff(6154,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6155,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6156,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 72.33/45.48 tff(6157,plain,
% 72.33/45.48 (v114(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6156, 438, 6153])).
% 72.33/45.48 tff(6158,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6159,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6160,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 72.33/45.48 tff(6161,plain,
% 72.33/45.48 (v113(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6160, 449, 6157])).
% 72.33/45.48 tff(6162,assumption,(~v108(constB37)), introduced(assumption)).
% 72.33/45.48 tff(6163,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6164,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6165,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 72.33/45.48 tff(6166,plain,
% 72.33/45.48 (~v112(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6165, 475, 6162])).
% 72.33/45.48 tff(6167,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB37) | (~v26(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB37) | (~v26(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6168,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB37) | (~v26(constB37)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6169,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB37) | (~v26(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 72.33/45.48 tff(6170,plain,
% 72.33/45.48 (~v26(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6169, 1807, 6162])).
% 72.33/45.48 tff(6171,assumption,(v113(constB37)), introduced(assumption)).
% 72.33/45.48 tff(6172,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6173,plain,
% 72.33/45.48 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6174,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6173])).
% 72.33/45.48 tff(6175,plain,
% 72.33/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6174, 6172])).
% 72.33/45.48 tff(6176,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6177,plain,
% 72.33/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 72.33/45.48 tff(6178,plain,
% 72.33/45.48 (v26(constB37) | v112(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6177, 463, 6171])).
% 72.33/45.48 tff(6179,plain,
% 72.33/45.48 ($false),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6178, 6170, 6166])).
% 72.33/45.48 tff(6180,plain,(v108(constB37) | (~v113(constB37))), inference(lemma,lemma(discharge,[]))).
% 72.33/45.48 tff(6181,plain,
% 72.33/45.48 (v108(constB37)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6180, 6161])).
% 72.33/45.48 tff(6182,plain,
% 72.33/45.48 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6183,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 72.33/45.48 tff(6184,plain,
% 72.33/45.48 (nextState(constB37, constB38)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 72.33/45.48 tff(6185,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6186,plain,
% 72.33/45.48 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6187,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6186])).
% 72.33/45.48 tff(6188,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6187, 6185])).
% 72.33/45.48 tff(6189,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6190,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 72.33/45.48 tff(6191,plain,
% 72.33/45.48 (v110(constB38) | (~v108(constB37))),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6190, 492, 6184])).
% 72.33/45.48 tff(6192,plain,
% 72.33/45.48 (v110(constB38)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6191, 6181])).
% 72.33/45.48 tff(6193,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6194,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6195,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 72.33/45.48 tff(6196,plain,
% 72.33/45.48 (~v104(constB38)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6195, 510, 6184, 6035])).
% 72.33/45.48 tff(6197,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6198,plain,
% 72.33/45.48 (((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6199,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6198])).
% 72.33/45.48 tff(6200,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6199, 6197])).
% 72.33/45.48 tff(6201,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6202,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 72.33/45.48 tff(6203,plain,
% 72.33/45.48 (v104(constB38) | v102(constB38)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6202, 524, 6184])).
% 72.33/45.48 tff(6204,plain,
% 72.33/45.48 (v102(constB38)),
% 72.33/45.48 inference(unit_resolution,[status(thm)],[6203, 6196])).
% 72.33/45.48 tff(6205,plain,
% 72.33/45.48 (v1(constB38) <=> v1(constB38)),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6206,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 72.33/45.48 tff(6207,plain,
% 72.33/45.48 (v1(constB38)),
% 72.33/45.48 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 72.33/45.48 tff(6208,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6209,plain,
% 72.33/45.48 (((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))) <=> ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 72.33/45.48 inference(rewrite,[status(thm)],[])).
% 72.33/45.48 tff(6210,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))))),
% 72.33/45.48 inference(monotonicity,[status(thm)],[6209])).
% 72.33/45.48 tff(6211,plain,
% 72.33/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 72.33/45.48 inference(transitivity,[status(thm)],[6210, 6208])).
% 72.33/45.48 tff(6212,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 72.33/45.48 inference(quant_inst,[status(thm)],[])).
% 72.33/45.48 tff(6213,plain,
% 72.33/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 72.33/45.49 tff(6214,plain,
% 72.33/45.49 (v101(constB38) | (~v102(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6213, 545, 6184, 6207])).
% 72.33/45.49 tff(6215,plain,
% 72.33/45.49 (v101(constB38)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6214, 6204])).
% 72.33/45.49 tff(6216,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6217,plain,
% 72.33/45.49 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6218,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6217])).
% 72.33/45.49 tff(6219,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6218, 6216])).
% 72.33/45.49 tff(6220,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6221,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 72.33/45.49 tff(6222,plain,
% 72.33/45.49 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6221, 563, 6184])).
% 72.33/45.49 tff(6223,plain,
% 72.33/45.49 (v100(constB38) | (~v110(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6222, 6215])).
% 72.33/45.49 tff(6224,plain,
% 72.33/45.49 (v100(constB38)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6223, 6192])).
% 72.33/45.49 tff(6225,plain,
% 72.33/45.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6226,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6227,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 72.33/45.49 tff(6228,plain,
% 72.33/45.49 (~v130(constB37, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6227, 1587, 6137])).
% 72.33/45.49 tff(6229,assumption,(v26(constB37)), introduced(assumption)).
% 72.33/45.49 tff(6230,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6231,plain,
% 72.33/45.49 ($false),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6230, 26, 6229])).
% 72.33/45.49 tff(6232,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 72.33/45.49 tff(6233,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6234,plain,
% 72.33/45.49 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6235,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6234])).
% 72.33/45.49 tff(6236,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6235, 6233])).
% 72.33/45.49 tff(6237,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6238,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 72.33/45.49 tff(6239,plain,
% 72.33/45.49 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6238, 1271, 6232])).
% 72.33/45.49 tff(6240,plain,
% 72.33/45.49 (~v127(constB37, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6239, 6228])).
% 72.33/45.49 tff(6241,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6242,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6243,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6242, 6241])).
% 72.33/45.49 tff(6244,plain,
% 72.33/45.49 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6243, 1289, 6184])).
% 72.33/45.49 tff(6245,plain,
% 72.33/45.49 (~v129(constB38, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6244, 6240])).
% 72.33/45.49 tff(6246,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6247,plain,
% 72.33/45.49 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6248,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6247])).
% 72.33/45.49 tff(6249,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6248, 6246])).
% 72.33/45.49 tff(6250,plain,
% 72.33/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6251,plain,
% 72.33/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 72.33/45.49 tff(6252,plain,
% 72.33/45.49 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6251, 1304, 6245])).
% 72.33/45.49 tff(6253,plain,
% 72.33/45.49 (~v90(constB38, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6252, 6224])).
% 72.33/45.49 tff(6254,plain,
% 72.33/45.49 ((~v1(constB39)) <=> (~v1(constB39))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6255,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 72.33/45.49 tff(6256,plain,
% 72.33/45.49 (~v1(constB39)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 72.33/45.49 tff(6257,plain,
% 72.33/45.49 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6258,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 72.33/45.49 tff(6259,plain,
% 72.33/45.49 (nextState(constB38, constB39)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 72.33/45.49 tff(6260,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6261,plain,
% 72.33/45.49 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6262,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6261])).
% 72.33/45.49 tff(6263,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6262, 6260])).
% 72.33/45.49 tff(6264,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6265,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 72.33/45.49 tff(6266,plain,
% 72.33/45.49 (~v101(constB39)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6265, 288, 6259, 6256])).
% 72.33/45.49 tff(6267,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6268,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6269,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 72.33/45.49 tff(6270,plain,
% 72.33/45.49 (v101(constB39) | (~v100(constB39))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6269, 305, 6259])).
% 72.33/45.49 tff(6271,plain,
% 72.33/45.49 (~v100(constB39)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6270, 6266])).
% 72.33/45.49 tff(6272,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6273,plain,
% 72.33/45.49 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6274,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6273])).
% 72.33/45.49 tff(6275,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6274, 6272])).
% 72.33/45.49 tff(6276,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6277,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6276, 6275])).
% 72.33/45.49 tff(6278,plain,
% 72.33/45.49 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6277, 320, 6259])).
% 72.33/45.49 tff(6279,plain,
% 72.33/45.49 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6278, 6271])).
% 72.33/45.49 tff(6280,plain,
% 72.33/45.49 (~v90(constB39, bitIndex2)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6279, 6253])).
% 72.33/45.49 tff(6281,plain,
% 72.33/45.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6282,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6283,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 72.33/45.49 tff(6284,plain,
% 72.33/45.49 (v130(constB37, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6283, 1649, 6137])).
% 72.33/45.49 tff(6285,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6286,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6287,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 72.33/45.49 tff(6288,plain,
% 72.33/45.49 ((~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6287, 990, 6232])).
% 72.33/45.49 tff(6289,plain,
% 72.33/45.49 (v127(constB37, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6288, 6284])).
% 72.33/45.49 tff(6290,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6291,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6292,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 72.33/45.49 tff(6293,plain,
% 72.33/45.49 ((~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6292, 1005, 6184])).
% 72.33/45.49 tff(6294,plain,
% 72.33/45.49 (v129(constB38, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6293, 6289])).
% 72.33/45.49 tff(6295,plain,
% 72.33/45.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6296,plain,
% 72.33/45.49 ((v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6297,plain,
% 72.33/45.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6296])).
% 72.33/45.49 tff(6298,plain,
% 72.33/45.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6297, 6295])).
% 72.33/45.49 tff(6299,plain,
% 72.33/45.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6300,plain,
% 72.33/45.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6299, 6298])).
% 72.33/45.49 tff(6301,plain,
% 72.33/45.49 (v90(constB38, bitIndex1) | (~v100(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6300, 1020, 6294])).
% 72.33/45.49 tff(6302,plain,
% 72.33/45.49 (v90(constB38, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6301, 6224])).
% 72.33/45.49 tff(6303,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6304,plain,
% 72.33/45.49 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6305,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6304])).
% 72.33/45.49 tff(6306,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6305, 6303])).
% 72.33/45.49 tff(6307,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6308,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 72.33/45.49 tff(6309,plain,
% 72.33/45.49 ((~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6308, 1038, 6259])).
% 72.33/45.49 tff(6310,plain,
% 72.33/45.49 ((~v90(constB38, bitIndex1)) | v90(constB39, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6309, 6271])).
% 72.33/45.49 tff(6311,plain,
% 72.33/45.49 (v90(constB39, bitIndex1)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6310, 6302])).
% 72.33/45.49 tff(6312,plain,
% 72.33/45.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6313,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6314,plain,
% 72.33/45.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 72.33/45.49 tff(6315,plain,
% 72.33/45.49 (~v130(constB37, bitIndex0)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6314, 1690, 6137])).
% 72.33/45.49 tff(6316,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6317,plain,
% 72.33/45.49 ((v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0))) <=> ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6318,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6317])).
% 72.33/45.49 tff(6319,plain,
% 72.33/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6318, 6316])).
% 72.33/45.49 tff(6320,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6321,plain,
% 72.33/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 72.33/45.49 tff(6322,plain,
% 72.33/45.49 ((~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6321, 769, 6232])).
% 72.33/45.49 tff(6323,plain,
% 72.33/45.49 (~v127(constB37, bitIndex0)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6322, 6315])).
% 72.33/45.49 tff(6324,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6325,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6326,plain,
% 72.33/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 72.33/45.49 tff(6327,plain,
% 72.33/45.49 (v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6326, 787, 6184])).
% 72.33/45.49 tff(6328,plain,
% 72.33/45.49 (~v129(constB38, bitIndex0)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6327, 6323])).
% 72.33/45.49 tff(6329,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6330,plain,
% 72.33/45.49 (((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 72.33/45.49 inference(rewrite,[status(thm)],[])).
% 72.33/45.49 tff(6331,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))))),
% 72.33/45.49 inference(monotonicity,[status(thm)],[6330])).
% 72.33/45.49 tff(6332,plain,
% 72.33/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 72.33/45.49 inference(transitivity,[status(thm)],[6331, 6329])).
% 72.33/45.49 tff(6333,plain,
% 72.33/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))),
% 72.33/45.49 inference(quant_inst,[status(thm)],[])).
% 72.33/45.49 tff(6334,plain,
% 72.33/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))),
% 72.33/45.49 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 72.33/45.49 tff(6335,plain,
% 72.33/45.49 ((~v90(constB38, bitIndex0)) | (~v100(constB38))),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6334, 802, 6328])).
% 72.33/45.49 tff(6336,plain,
% 72.33/45.49 (~v90(constB38, bitIndex0)),
% 72.33/45.49 inference(unit_resolution,[status(thm)],[6335, 6224])).
% 72.33/45.49 tff(6337,plain,
% 72.33/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6338,plain,
% 72.33/45.50 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6339,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6338])).
% 72.33/45.50 tff(6340,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6339, 6337])).
% 72.33/45.50 tff(6341,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6342,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 72.33/45.50 tff(6343,plain,
% 72.33/45.50 (v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6342, 362, 6259])).
% 72.33/45.50 tff(6344,plain,
% 72.33/45.50 (v90(constB38, bitIndex0) | (~v90(constB39, bitIndex0))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6343, 6271])).
% 72.33/45.50 tff(6345,plain,
% 72.33/45.50 (~v90(constB39, bitIndex0)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6344, 6336])).
% 72.33/45.50 tff(6346,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6347,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6348,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 72.33/45.50 tff(6349,plain,
% 72.33/45.50 (v121(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6348, 1734, 6345, 6311, 6280])).
% 72.33/45.50 tff(6350,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB39) | (~v121(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB39) | (~v121(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6351,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB39) | (~v121(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6352,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB39) | (~v121(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 72.33/45.50 tff(6353,plain,
% 72.33/45.50 (v117(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6352, 1775, 6349])).
% 72.33/45.50 tff(6354,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6355,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6356,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 72.33/45.50 tff(6357,plain,
% 72.33/45.50 (v116(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6356, 416, 6353])).
% 72.33/45.50 tff(6358,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6359,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6360,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 72.33/45.50 tff(6361,plain,
% 72.33/45.50 (v115(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6360, 427, 6357])).
% 72.33/45.50 tff(6362,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6363,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6364,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 72.33/45.50 tff(6365,plain,
% 72.33/45.50 (v114(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6364, 438, 6361])).
% 72.33/45.50 tff(6366,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6367,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6368,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 72.33/45.50 tff(6369,plain,
% 72.33/45.50 (v113(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6368, 449, 6365])).
% 72.33/45.50 tff(6370,assumption,(v26(constB39)), introduced(assumption)).
% 72.33/45.50 tff(6371,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6372,plain,
% 72.33/45.50 ($false),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6371, 26, 6370])).
% 72.33/45.50 tff(6373,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 72.33/45.50 tff(6374,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6375,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6376,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 72.33/45.50 tff(6377,plain,
% 72.33/45.50 ((~v113(constB39)) | v112(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6376, 463, 6373])).
% 72.33/45.50 tff(6378,plain,
% 72.33/45.50 (v112(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6377, 6369])).
% 72.33/45.50 tff(6379,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6380,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6381,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 72.33/45.50 tff(6382,plain,
% 72.33/45.50 (v108(constB39)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6381, 475, 6378])).
% 72.33/45.50 tff(6383,plain,
% 72.33/45.50 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6384,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 72.33/45.50 tff(6385,plain,
% 72.33/45.50 (nextState(constB39, constB40)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 72.33/45.50 tff(6386,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6387,plain,
% 72.33/45.50 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6388,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6387])).
% 72.33/45.50 tff(6389,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6388, 6386])).
% 72.33/45.50 tff(6390,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6391,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 72.33/45.50 tff(6392,plain,
% 72.33/45.50 (v110(constB40) | (~v108(constB39))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6391, 492, 6385])).
% 72.33/45.50 tff(6393,plain,
% 72.33/45.50 (v110(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6392, 6382])).
% 72.33/45.50 tff(6394,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6395,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6396,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 72.33/45.50 tff(6397,plain,
% 72.33/45.50 (~v104(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6396, 510, 6385, 6256])).
% 72.33/45.50 tff(6398,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6399,plain,
% 72.33/45.50 (((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6400,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6399])).
% 72.33/45.50 tff(6401,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6400, 6398])).
% 72.33/45.50 tff(6402,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6403,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 72.33/45.50 tff(6404,plain,
% 72.33/45.50 (v104(constB40) | v102(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6403, 524, 6385])).
% 72.33/45.50 tff(6405,plain,
% 72.33/45.50 (v102(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6404, 6397])).
% 72.33/45.50 tff(6406,plain,
% 72.33/45.50 (v1(constB40) <=> v1(constB40)),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6407,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 72.33/45.50 tff(6408,plain,
% 72.33/45.50 (v1(constB40)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 72.33/45.50 tff(6409,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6410,plain,
% 72.33/45.50 (((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))) <=> ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6411,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6410])).
% 72.33/45.50 tff(6412,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6411, 6409])).
% 72.33/45.50 tff(6413,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6414,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 72.33/45.50 tff(6415,plain,
% 72.33/45.50 (v101(constB40) | (~v102(constB40))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6414, 545, 6385, 6408])).
% 72.33/45.50 tff(6416,plain,
% 72.33/45.50 (v101(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6415, 6405])).
% 72.33/45.50 tff(6417,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6418,plain,
% 72.33/45.50 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6419,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6418])).
% 72.33/45.50 tff(6420,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6419, 6417])).
% 72.33/45.50 tff(6421,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6422,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 72.33/45.50 tff(6423,plain,
% 72.33/45.50 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6422, 563, 6385])).
% 72.33/45.50 tff(6424,plain,
% 72.33/45.50 (v100(constB40) | (~v110(constB40))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6423, 6416])).
% 72.33/45.50 tff(6425,plain,
% 72.33/45.50 (v100(constB40)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6424, 6393])).
% 72.33/45.50 tff(6426,plain,
% 72.33/45.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6427,plain,
% 72.33/45.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6428,plain,
% 72.33/45.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 72.33/45.50 tff(6429,plain,
% 72.33/45.50 (~v130(constB39, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6428, 1748, 6349])).
% 72.33/45.50 tff(6430,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6431,plain,
% 72.33/45.50 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6432,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6431])).
% 72.33/45.50 tff(6433,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6432, 6430])).
% 72.33/45.50 tff(6434,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6435,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 72.33/45.50 tff(6436,plain,
% 72.33/45.50 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6435, 1271, 6373])).
% 72.33/45.50 tff(6437,plain,
% 72.33/45.50 (~v127(constB39, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6436, 6429])).
% 72.33/45.50 tff(6438,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6439,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6440,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 72.33/45.50 tff(6441,plain,
% 72.33/45.50 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6440, 1289, 6385])).
% 72.33/45.50 tff(6442,plain,
% 72.33/45.50 (~v129(constB40, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6441, 6437])).
% 72.33/45.50 tff(6443,plain,
% 72.33/45.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6444,plain,
% 72.33/45.50 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6445,plain,
% 72.33/45.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6444])).
% 72.33/45.50 tff(6446,plain,
% 72.33/45.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6445, 6443])).
% 72.33/45.50 tff(6447,plain,
% 72.33/45.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6448,plain,
% 72.33/45.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 72.33/45.50 tff(6449,plain,
% 72.33/45.50 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6448, 1304, 6442])).
% 72.33/45.50 tff(6450,plain,
% 72.33/45.50 (~v90(constB40, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6449, 6425])).
% 72.33/45.50 tff(6451,plain,
% 72.33/45.50 ((~v1(constB41)) <=> (~v1(constB41))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6452,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 72.33/45.50 tff(6453,plain,
% 72.33/45.50 (~v1(constB41)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 72.33/45.50 tff(6454,plain,
% 72.33/45.50 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6455,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 72.33/45.50 tff(6456,plain,
% 72.33/45.50 (nextState(constB40, constB41)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6455, 6454])).
% 72.33/45.50 tff(6457,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6458,plain,
% 72.33/45.50 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6459,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6458])).
% 72.33/45.50 tff(6460,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6459, 6457])).
% 72.33/45.50 tff(6461,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6462,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 72.33/45.50 tff(6463,plain,
% 72.33/45.50 (~v101(constB41)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6462, 288, 6456, 6453])).
% 72.33/45.50 tff(6464,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6465,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6466,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 72.33/45.50 tff(6467,plain,
% 72.33/45.50 (v101(constB41) | (~v100(constB41))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6466, 305, 6456])).
% 72.33/45.50 tff(6468,plain,
% 72.33/45.50 (~v100(constB41)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6467, 6463])).
% 72.33/45.50 tff(6469,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6470,plain,
% 72.33/45.50 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6471,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 72.33/45.50 inference(monotonicity,[status(thm)],[6470])).
% 72.33/45.50 tff(6472,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.33/45.50 inference(transitivity,[status(thm)],[6471, 6469])).
% 72.33/45.50 tff(6473,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6474,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6473, 6472])).
% 72.33/45.50 tff(6475,plain,
% 72.33/45.50 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6474, 320, 6456])).
% 72.33/45.50 tff(6476,plain,
% 72.33/45.50 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6475, 6468])).
% 72.33/45.50 tff(6477,plain,
% 72.33/45.50 (~v90(constB41, bitIndex2)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6476, 6450])).
% 72.33/45.50 tff(6478,plain,
% 72.33/45.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6479,plain,
% 72.33/45.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6480,plain,
% 72.33/45.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 72.33/45.50 tff(6481,plain,
% 72.33/45.50 (v130(constB39, bitIndex1)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6480, 1904, 6349])).
% 72.33/45.50 tff(6482,plain,
% 72.33/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6483,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 72.33/45.50 inference(quant_inst,[status(thm)],[])).
% 72.33/45.50 tff(6484,plain,
% 72.33/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 72.33/45.50 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 72.33/45.50 tff(6485,plain,
% 72.33/45.50 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6484, 990, 6373])).
% 72.33/45.50 tff(6486,plain,
% 72.33/45.50 (v127(constB39, bitIndex1)),
% 72.33/45.50 inference(unit_resolution,[status(thm)],[6485, 6481])).
% 72.33/45.50 tff(6487,plain,
% 72.33/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 72.33/45.50 inference(rewrite,[status(thm)],[])).
% 72.33/45.50 tff(6488,plain,
% 72.33/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6489,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 72.33/45.51 tff(6490,plain,
% 72.33/45.51 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6489, 1005, 6385])).
% 72.33/45.51 tff(6491,plain,
% 72.33/45.51 (v129(constB40, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6490, 6486])).
% 72.33/45.51 tff(6492,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6493,plain,
% 72.33/45.51 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6494,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6493])).
% 72.33/45.51 tff(6495,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6494, 6492])).
% 72.33/45.51 tff(6496,plain,
% 72.33/45.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6497,plain,
% 72.33/45.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 72.33/45.51 tff(6498,plain,
% 72.33/45.51 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6497, 1020, 6491])).
% 72.33/45.51 tff(6499,plain,
% 72.33/45.51 (v90(constB40, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6498, 6425])).
% 72.33/45.51 tff(6500,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6501,plain,
% 72.33/45.51 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6502,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6501])).
% 72.33/45.51 tff(6503,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6502, 6500])).
% 72.33/45.51 tff(6504,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6505,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 72.33/45.51 tff(6506,plain,
% 72.33/45.51 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6505, 1038, 6456])).
% 72.33/45.51 tff(6507,plain,
% 72.33/45.51 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6506, 6468])).
% 72.33/45.51 tff(6508,plain,
% 72.33/45.51 (v90(constB41, bitIndex1)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6507, 6499])).
% 72.33/45.51 tff(6509,plain,
% 72.33/45.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6510,plain,
% 72.33/45.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6511,plain,
% 72.33/45.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6510, 6509])).
% 72.33/45.51 tff(6512,plain,
% 72.33/45.51 (v130(constB39, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6511, 1945, 6349])).
% 72.33/45.51 tff(6513,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6514,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6515,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 72.33/45.51 tff(6516,plain,
% 72.33/45.51 ((~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6515, 1413, 6373])).
% 72.33/45.51 tff(6517,plain,
% 72.33/45.51 (v127(constB39, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6516, 6512])).
% 72.33/45.51 tff(6518,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6519,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6520,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 72.33/45.51 tff(6521,plain,
% 72.33/45.51 ((~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6520, 1428, 6385])).
% 72.33/45.51 tff(6522,plain,
% 72.33/45.51 (v129(constB40, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6521, 6517])).
% 72.33/45.51 tff(6523,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6524,plain,
% 72.33/45.51 ((v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6525,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6524])).
% 72.33/45.51 tff(6526,plain,
% 72.33/45.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6525, 6523])).
% 72.33/45.51 tff(6527,plain,
% 72.33/45.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6528,plain,
% 72.33/45.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6527, 6526])).
% 72.33/45.51 tff(6529,plain,
% 72.33/45.51 (v90(constB40, bitIndex0) | (~v100(constB40))),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6528, 1443, 6522])).
% 72.33/45.51 tff(6530,plain,
% 72.33/45.51 (v90(constB40, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6529, 6425])).
% 72.33/45.51 tff(6531,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6532,plain,
% 72.33/45.51 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6533,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6532])).
% 72.33/45.51 tff(6534,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6533, 6531])).
% 72.33/45.51 tff(6535,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6536,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 72.33/45.51 tff(6537,plain,
% 72.33/45.51 ((~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6536, 1461, 6456])).
% 72.33/45.51 tff(6538,plain,
% 72.33/45.51 ((~v90(constB40, bitIndex0)) | v90(constB41, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6537, 6468])).
% 72.33/45.51 tff(6539,plain,
% 72.33/45.51 (v90(constB41, bitIndex0)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6538, 6530])).
% 72.33/45.51 tff(6540,plain,
% 72.33/45.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6541,plain,
% 72.33/45.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6542,plain,
% 72.33/45.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 72.33/45.51 tff(6543,plain,
% 72.33/45.51 (v122(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6542, 1986, 6539, 6508, 6477])).
% 72.33/45.51 tff(6544,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB41) | (~v122(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB41) | (~v122(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6545,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB41) | (~v122(constB41)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6546,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB41) | (~v122(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 72.33/45.51 tff(6547,plain,
% 72.33/45.51 (v116(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6546, 1997, 6543])).
% 72.33/45.51 tff(6548,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6549,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6550,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 72.33/45.51 tff(6551,plain,
% 72.33/45.51 (v115(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6550, 427, 6547])).
% 72.33/45.51 tff(6552,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6553,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6554,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 72.33/45.51 tff(6555,plain,
% 72.33/45.51 (v114(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6554, 438, 6551])).
% 72.33/45.51 tff(6556,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6557,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6558,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 72.33/45.51 tff(6559,plain,
% 72.33/45.51 (v113(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6558, 449, 6555])).
% 72.33/45.51 tff(6560,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6561,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6562,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 72.33/45.51 tff(6563,plain,
% 72.33/45.51 (v26(constB41) | v112(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6562, 463, 6559])).
% 72.33/45.51 tff(6564,plain,
% 72.33/45.51 (v112(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6563, 4626])).
% 72.33/45.51 tff(6565,plain,
% 72.33/45.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6566,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6567,plain,
% 72.33/45.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 72.33/45.51 tff(6568,plain,
% 72.33/45.51 (v108(constB41)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6567, 475, 6564])).
% 72.33/45.51 tff(6569,plain,
% 72.33/45.51 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6570,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 72.33/45.51 tff(6571,plain,
% 72.33/45.51 (nextState(constB41, constB42)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 72.33/45.51 tff(6572,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6573,plain,
% 72.33/45.51 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6574,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6573])).
% 72.33/45.51 tff(6575,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6574, 6572])).
% 72.33/45.51 tff(6576,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6577,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 72.33/45.51 tff(6578,plain,
% 72.33/45.51 (v110(constB42) | (~v108(constB41))),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6577, 492, 6571])).
% 72.33/45.51 tff(6579,plain,
% 72.33/45.51 (v110(constB42)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6578, 6568])).
% 72.33/45.51 tff(6580,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6581,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6582,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 72.33/45.51 tff(6583,plain,
% 72.33/45.51 (~v104(constB42)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6582, 510, 6571, 6453])).
% 72.33/45.51 tff(6584,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6585,plain,
% 72.33/45.51 (((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6586,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6585])).
% 72.33/45.51 tff(6587,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6586, 6584])).
% 72.33/45.51 tff(6588,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6589,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 72.33/45.51 tff(6590,plain,
% 72.33/45.51 (v104(constB42) | v102(constB42)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6589, 524, 6571])).
% 72.33/45.51 tff(6591,plain,
% 72.33/45.51 (v102(constB42)),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6590, 6583])).
% 72.33/45.51 tff(6592,plain,
% 72.33/45.51 (v1(constB42) <=> v1(constB42)),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6593,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 72.33/45.51 tff(6594,plain,
% 72.33/45.51 (v1(constB42)),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6593, 6592])).
% 72.33/45.51 tff(6595,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6596,plain,
% 72.33/45.51 (((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))) <=> ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 72.33/45.51 inference(rewrite,[status(thm)],[])).
% 72.33/45.51 tff(6597,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))))),
% 72.33/45.51 inference(monotonicity,[status(thm)],[6596])).
% 72.33/45.51 tff(6598,plain,
% 72.33/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 72.33/45.51 inference(transitivity,[status(thm)],[6597, 6595])).
% 72.33/45.51 tff(6599,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 72.33/45.51 inference(quant_inst,[status(thm)],[])).
% 72.33/45.51 tff(6600,plain,
% 72.33/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))),
% 72.33/45.51 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 72.33/45.51 tff(6601,plain,
% 72.33/45.51 (v101(constB42) | (~v102(constB42))),
% 72.33/45.51 inference(unit_resolution,[status(thm)],[6600, 545, 6571, 6594])).
% 72.36/45.51 tff(6602,plain,
% 72.36/45.51 (v101(constB42)),
% 72.36/45.51 inference(unit_resolution,[status(thm)],[6601, 6591])).
% 72.36/45.51 tff(6603,plain,
% 72.36/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.36/45.51 inference(rewrite,[status(thm)],[])).
% 72.36/45.51 tff(6604,plain,
% 72.36/45.51 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.36/45.51 inference(rewrite,[status(thm)],[])).
% 72.36/45.51 tff(6605,plain,
% 72.36/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 72.36/45.51 inference(monotonicity,[status(thm)],[6604])).
% 72.36/45.51 tff(6606,plain,
% 72.36/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.36/45.51 inference(transitivity,[status(thm)],[6605, 6603])).
% 72.36/45.51 tff(6607,plain,
% 72.36/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 72.36/45.51 inference(quant_inst,[status(thm)],[])).
% 72.36/45.51 tff(6608,plain,
% 72.36/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 72.36/45.51 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 72.36/45.51 tff(6609,plain,
% 72.36/45.51 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 72.36/45.51 inference(unit_resolution,[status(thm)],[6608, 563, 6571])).
% 72.36/45.51 tff(6610,plain,
% 72.36/45.51 (v100(constB42) | (~v110(constB42))),
% 72.36/45.51 inference(unit_resolution,[status(thm)],[6609, 6602])).
% 72.36/45.51 tff(6611,plain,
% 72.36/45.51 (v100(constB42)),
% 72.36/45.51 inference(unit_resolution,[status(thm)],[6610, 6579])).
% 72.36/45.51 tff(6612,plain,
% 72.36/45.51 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2))),
% 72.36/45.51 inference(rewrite,[status(thm)],[])).
% 72.36/45.51 tff(6613,plain,
% 72.36/45.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))),
% 72.36/45.51 inference(quant_inst,[status(thm)],[])).
% 72.36/45.51 tff(6614,plain,
% 72.36/45.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2)),
% 72.36/45.51 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 72.36/45.51 tff(6615,plain,
% 72.36/45.51 (v130(constB41, bitIndex2)),
% 72.36/45.51 inference(unit_resolution,[status(thm)],[6614, 2079, 6543])).
% 72.36/45.51 tff(6616,plain,
% 72.36/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 72.36/45.51 inference(rewrite,[status(thm)],[])).
% 72.36/45.51 tff(6617,plain,
% 72.36/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6618,plain,
% 72.36/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 72.36/45.52 tff(6619,plain,
% 72.36/45.52 (v26(constB41) | v127(constB41, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6618, 596, 6615])).
% 72.36/45.52 tff(6620,plain,
% 72.36/45.52 (v127(constB41, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6619, 4626])).
% 72.36/45.52 tff(6621,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6622,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6623,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 72.36/45.52 tff(6624,plain,
% 72.36/45.52 ((~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6623, 611, 6571])).
% 72.36/45.52 tff(6625,plain,
% 72.36/45.52 (v129(constB42, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6624, 6620])).
% 72.36/45.52 tff(6626,plain,
% 72.36/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6627,plain,
% 72.36/45.52 ((v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6628,plain,
% 72.36/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6627])).
% 72.36/45.52 tff(6629,plain,
% 72.36/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6628, 6626])).
% 72.36/45.52 tff(6630,plain,
% 72.36/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6631,plain,
% 72.36/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6630, 6629])).
% 72.36/45.52 tff(6632,plain,
% 72.36/45.52 (v90(constB42, bitIndex2) | (~v100(constB42))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6631, 626, 6625])).
% 72.36/45.52 tff(6633,plain,
% 72.36/45.52 (v90(constB42, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6632, 6611])).
% 72.36/45.52 tff(6634,plain,
% 72.36/45.52 ((~v1(constB43)) <=> (~v1(constB43))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6635,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 72.36/45.52 tff(6636,plain,
% 72.36/45.52 (~v1(constB43)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 72.36/45.52 tff(6637,plain,
% 72.36/45.52 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6638,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 72.36/45.52 tff(6639,plain,
% 72.36/45.52 (nextState(constB42, constB43)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 72.36/45.52 tff(6640,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6641,plain,
% 72.36/45.52 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6642,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6641])).
% 72.36/45.52 tff(6643,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6642, 6640])).
% 72.36/45.52 tff(6644,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6645,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 72.36/45.52 tff(6646,plain,
% 72.36/45.52 (~v101(constB43)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6645, 288, 6639, 6636])).
% 72.36/45.52 tff(6647,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6648,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6649,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 72.36/45.52 tff(6650,plain,
% 72.36/45.52 (v101(constB43) | (~v100(constB43))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6649, 305, 6639])).
% 72.36/45.52 tff(6651,plain,
% 72.36/45.52 (~v100(constB43)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6650, 6646])).
% 72.36/45.52 tff(6652,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6653,plain,
% 72.36/45.52 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6654,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6653])).
% 72.36/45.52 tff(6655,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6654, 6652])).
% 72.36/45.52 tff(6656,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6657,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6656, 6655])).
% 72.36/45.52 tff(6658,plain,
% 72.36/45.52 ((~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6657, 662, 6639])).
% 72.36/45.52 tff(6659,plain,
% 72.36/45.52 ((~v90(constB42, bitIndex2)) | v90(constB43, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6658, 6651])).
% 72.36/45.52 tff(6660,plain,
% 72.36/45.52 (v90(constB43, bitIndex2)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6659, 6633])).
% 72.36/45.52 tff(6661,plain,
% 72.36/45.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6662,plain,
% 72.36/45.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6663,plain,
% 72.36/45.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 72.36/45.52 tff(6664,plain,
% 72.36/45.52 (~v130(constB41, bitIndex1)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6663, 2138, 6543])).
% 72.36/45.52 tff(6665,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6666,plain,
% 72.36/45.52 ((v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1))) <=> ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6667,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6666])).
% 72.36/45.52 tff(6668,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6667, 6665])).
% 72.36/45.52 tff(6669,plain,
% 72.36/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6670,plain,
% 72.36/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 72.36/45.52 tff(6671,plain,
% 72.36/45.52 ((~v127(constB41, bitIndex1)) | v26(constB41)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6670, 695, 6664])).
% 72.36/45.52 tff(6672,plain,
% 72.36/45.52 (~v127(constB41, bitIndex1)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6671, 4626])).
% 72.36/45.52 tff(6673,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6674,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6675,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 72.36/45.52 tff(6676,plain,
% 72.36/45.52 (v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6675, 713, 6571])).
% 72.36/45.52 tff(6677,plain,
% 72.36/45.52 (~v129(constB42, bitIndex1)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6676, 6672])).
% 72.36/45.52 tff(6678,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6679,plain,
% 72.36/45.52 (((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6680,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6679])).
% 72.36/45.52 tff(6681,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6680, 6678])).
% 72.36/45.52 tff(6682,plain,
% 72.36/45.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6683,plain,
% 72.36/45.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 72.36/45.52 tff(6684,plain,
% 72.36/45.52 ((~v90(constB42, bitIndex1)) | (~v100(constB42))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6683, 728, 6677])).
% 72.36/45.52 tff(6685,plain,
% 72.36/45.52 (~v90(constB42, bitIndex1)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6684, 6611])).
% 72.36/45.52 tff(6686,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6687,plain,
% 72.36/45.52 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6688,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6687])).
% 72.36/45.52 tff(6689,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6688, 6686])).
% 72.36/45.52 tff(6690,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6691,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 72.36/45.52 tff(6692,plain,
% 72.36/45.52 (v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6691, 341, 6639])).
% 72.36/45.52 tff(6693,plain,
% 72.36/45.52 (v90(constB42, bitIndex1) | (~v90(constB43, bitIndex1))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6692, 6651])).
% 72.36/45.52 tff(6694,plain,
% 72.36/45.52 (~v90(constB43, bitIndex1)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6693, 6685])).
% 72.36/45.52 tff(6695,plain,
% 72.36/45.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6696,plain,
% 72.36/45.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6697,plain,
% 72.36/45.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 72.36/45.52 tff(6698,plain,
% 72.36/45.52 (~v130(constB41, bitIndex0)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6697, 2182, 6543])).
% 72.36/45.52 tff(6699,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6700,plain,
% 72.36/45.52 ((v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0))) <=> ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6701,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6700])).
% 72.36/45.52 tff(6702,plain,
% 72.36/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6701, 6699])).
% 72.36/45.52 tff(6703,plain,
% 72.36/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6704,plain,
% 72.36/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6703, 6702])).
% 72.36/45.52 tff(6705,plain,
% 72.36/45.52 ((~v127(constB41, bitIndex0)) | v26(constB41)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6704, 769, 6698])).
% 72.36/45.52 tff(6706,plain,
% 72.36/45.52 (~v127(constB41, bitIndex0)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6705, 4626])).
% 72.36/45.52 tff(6707,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6708,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6709,plain,
% 72.36/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 72.36/45.52 tff(6710,plain,
% 72.36/45.52 (v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6709, 787, 6571])).
% 72.36/45.52 tff(6711,plain,
% 72.36/45.52 (~v129(constB42, bitIndex0)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6710, 6706])).
% 72.36/45.52 tff(6712,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6713,plain,
% 72.36/45.52 (((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6714,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))))),
% 72.36/45.52 inference(monotonicity,[status(thm)],[6713])).
% 72.36/45.52 tff(6715,plain,
% 72.36/45.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 72.36/45.52 inference(transitivity,[status(thm)],[6714, 6712])).
% 72.36/45.52 tff(6716,plain,
% 72.36/45.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))),
% 72.36/45.52 inference(quant_inst,[status(thm)],[])).
% 72.36/45.52 tff(6717,plain,
% 72.36/45.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))),
% 72.36/45.52 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 72.36/45.52 tff(6718,plain,
% 72.36/45.52 ((~v90(constB42, bitIndex0)) | (~v100(constB42))),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6717, 802, 6711])).
% 72.36/45.52 tff(6719,plain,
% 72.36/45.52 (~v90(constB42, bitIndex0)),
% 72.36/45.52 inference(unit_resolution,[status(thm)],[6718, 6611])).
% 72.36/45.52 tff(6720,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6721,plain,
% 72.36/45.52 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 72.36/45.52 inference(rewrite,[status(thm)],[])).
% 72.36/45.52 tff(6722,plain,
% 72.36/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))))),
% 72.36/45.53 inference(monotonicity,[status(thm)],[6721])).
% 72.36/45.53 tff(6723,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 72.36/45.53 inference(transitivity,[status(thm)],[6722, 6720])).
% 72.36/45.53 tff(6724,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6725,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 72.36/45.53 tff(6726,plain,
% 72.36/45.53 (v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6725, 362, 6639])).
% 72.36/45.53 tff(6727,plain,
% 72.36/45.53 (v90(constB42, bitIndex0) | (~v90(constB43, bitIndex0))),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6726, 6651])).
% 72.36/45.53 tff(6728,plain,
% 72.36/45.53 (~v90(constB43, bitIndex0)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6727, 6719])).
% 72.36/45.53 tff(6729,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6730,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6731,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43)),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 72.36/45.53 tff(6732,plain,
% 72.36/45.53 (v123(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6731, 829, 6728, 6694, 6660])).
% 72.36/45.53 tff(6733,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB43) | (~v123(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB43) | (~v123(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6734,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB43) | (~v123(constB43)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6735,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB43) | (~v123(constB43))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 72.36/45.53 tff(6736,plain,
% 72.36/45.53 (v115(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6735, 840, 6732])).
% 72.36/45.53 tff(6737,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6738,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6739,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 72.36/45.53 tff(6740,plain,
% 72.36/45.53 (v114(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6739, 438, 6736])).
% 72.36/45.53 tff(6741,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6742,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6743,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 72.36/45.53 tff(6744,plain,
% 72.36/45.53 (v113(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6743, 449, 6740])).
% 72.36/45.53 tff(6745,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6746,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6747,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 72.36/45.53 tff(6748,plain,
% 72.36/45.53 (v26(constB43) | v112(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6747, 463, 6744])).
% 72.36/45.53 tff(6749,plain,
% 72.36/45.53 (v112(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6748, 4622])).
% 72.36/45.53 tff(6750,plain,
% 72.36/45.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6751,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6752,plain,
% 72.36/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 72.36/45.53 tff(6753,plain,
% 72.36/45.53 (v108(constB43)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6752, 475, 6749])).
% 72.36/45.53 tff(6754,plain,
% 72.36/45.53 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6755,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 72.36/45.53 tff(6756,plain,
% 72.36/45.53 (nextState(constB43, constB44)),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 72.36/45.53 tff(6757,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6758,plain,
% 72.36/45.53 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6759,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 72.36/45.53 inference(monotonicity,[status(thm)],[6758])).
% 72.36/45.53 tff(6760,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.36/45.53 inference(transitivity,[status(thm)],[6759, 6757])).
% 72.36/45.53 tff(6761,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6762,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 72.36/45.53 tff(6763,plain,
% 72.36/45.53 (v110(constB44) | (~v108(constB43))),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6762, 492, 6756])).
% 72.36/45.53 tff(6764,plain,
% 72.36/45.53 (v110(constB44)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6763, 6753])).
% 72.36/45.53 tff(6765,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6766,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6767,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 72.36/45.53 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 72.36/45.53 tff(6768,plain,
% 72.36/45.53 (~v104(constB44)),
% 72.36/45.53 inference(unit_resolution,[status(thm)],[6767, 510, 6756, 6636])).
% 72.36/45.53 tff(6769,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6770,plain,
% 72.36/45.53 (((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 72.36/45.53 inference(rewrite,[status(thm)],[])).
% 72.36/45.53 tff(6771,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)))),
% 72.36/45.53 inference(monotonicity,[status(thm)],[6770])).
% 72.36/45.53 tff(6772,plain,
% 72.36/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 72.36/45.53 inference(transitivity,[status(thm)],[6771, 6769])).
% 72.36/45.53 tff(6773,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 72.36/45.53 inference(quant_inst,[status(thm)],[])).
% 72.36/45.53 tff(6774,plain,
% 72.36/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 72.38/45.53 tff(6775,plain,
% 72.38/45.53 (v104(constB44) | v102(constB44)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6774, 524, 6756])).
% 72.38/45.53 tff(6776,plain,
% 72.38/45.53 (v102(constB44)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6775, 6768])).
% 72.38/45.53 tff(6777,plain,
% 72.38/45.53 (v1(constB44) <=> v1(constB44)),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6778,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 72.38/45.53 tff(6779,plain,
% 72.38/45.53 (v1(constB44)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 72.38/45.53 tff(6780,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6781,plain,
% 72.38/45.53 (((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))) <=> ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6782,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6781])).
% 72.38/45.53 tff(6783,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 72.38/45.53 inference(transitivity,[status(thm)],[6782, 6780])).
% 72.38/45.53 tff(6784,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6785,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 72.38/45.53 tff(6786,plain,
% 72.38/45.53 (v101(constB44) | (~v102(constB44))),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6785, 545, 6756, 6779])).
% 72.38/45.53 tff(6787,plain,
% 72.38/45.53 (v101(constB44)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6786, 6776])).
% 72.38/45.53 tff(6788,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6789,plain,
% 72.38/45.53 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6790,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6789])).
% 72.38/45.53 tff(6791,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.38/45.53 inference(transitivity,[status(thm)],[6790, 6788])).
% 72.38/45.53 tff(6792,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6793,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6792, 6791])).
% 72.38/45.53 tff(6794,plain,
% 72.38/45.53 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6793, 563, 6756])).
% 72.38/45.53 tff(6795,plain,
% 72.38/45.53 (v100(constB44) | (~v110(constB44))),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6794, 6787])).
% 72.38/45.53 tff(6796,plain,
% 72.38/45.53 (v100(constB44)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6795, 6764])).
% 72.38/45.53 tff(6797,plain,
% 72.38/45.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6798,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6799,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 72.38/45.53 tff(6800,plain,
% 72.38/45.53 (v130(constB43, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6799, 917, 6732])).
% 72.38/45.53 tff(6801,plain,
% 72.38/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6802,plain,
% 72.38/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6803,plain,
% 72.38/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 72.38/45.53 tff(6804,plain,
% 72.38/45.53 (v26(constB43) | v127(constB43, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6803, 596, 6800])).
% 72.38/45.53 tff(6805,plain,
% 72.38/45.53 (v127(constB43, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6804, 4622])).
% 72.38/45.53 tff(6806,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6807,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6808,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6807, 6806])).
% 72.38/45.53 tff(6809,plain,
% 72.38/45.53 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6808, 611, 6756])).
% 72.38/45.53 tff(6810,plain,
% 72.38/45.53 (v129(constB44, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6809, 6805])).
% 72.38/45.53 tff(6811,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6812,plain,
% 72.38/45.53 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6813,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6812])).
% 72.38/45.53 tff(6814,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.38/45.53 inference(transitivity,[status(thm)],[6813, 6811])).
% 72.38/45.53 tff(6815,plain,
% 72.38/45.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6816,plain,
% 72.38/45.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 72.38/45.53 tff(6817,plain,
% 72.38/45.53 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6816, 626, 6810])).
% 72.38/45.53 tff(6818,plain,
% 72.38/45.53 (v90(constB44, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6817, 6796])).
% 72.38/45.53 tff(6819,plain,
% 72.38/45.53 ((~v1(constB45)) <=> (~v1(constB45))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6820,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 72.38/45.53 tff(6821,plain,
% 72.38/45.53 (~v1(constB45)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 72.38/45.53 tff(6822,plain,
% 72.38/45.53 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6823,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 72.38/45.53 tff(6824,plain,
% 72.38/45.53 (nextState(constB44, constB45)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 72.38/45.53 tff(6825,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6826,plain,
% 72.38/45.53 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6827,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6826])).
% 72.38/45.53 tff(6828,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.38/45.53 inference(transitivity,[status(thm)],[6827, 6825])).
% 72.38/45.53 tff(6829,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6830,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 72.38/45.53 tff(6831,plain,
% 72.38/45.53 (~v101(constB45)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6830, 288, 6824, 6821])).
% 72.38/45.53 tff(6832,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6833,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6834,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 72.38/45.53 tff(6835,plain,
% 72.38/45.53 (v101(constB45) | (~v100(constB45))),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6834, 305, 6824])).
% 72.38/45.53 tff(6836,plain,
% 72.38/45.53 (~v100(constB45)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6835, 6831])).
% 72.38/45.53 tff(6837,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6838,plain,
% 72.38/45.53 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6839,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6838])).
% 72.38/45.53 tff(6840,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.38/45.53 inference(transitivity,[status(thm)],[6839, 6837])).
% 72.38/45.53 tff(6841,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6842,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6841, 6840])).
% 72.38/45.53 tff(6843,plain,
% 72.38/45.53 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6842, 662, 6824])).
% 72.38/45.53 tff(6844,plain,
% 72.38/45.53 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6843, 6836])).
% 72.38/45.53 tff(6845,plain,
% 72.38/45.53 (v90(constB45, bitIndex2)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6844, 6818])).
% 72.38/45.53 tff(6846,plain,
% 72.38/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v121(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v121(constB45)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6847,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v121(constB45)))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6848,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v121(constB45))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 72.38/45.53 tff(6849,plain,
% 72.38/45.53 (~v121(constB45)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6848, 1182, 6845])).
% 72.38/45.53 tff(6850,plain,
% 72.38/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v122(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v122(constB45)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6851,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v122(constB45)))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6852,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v122(constB45))),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 72.38/45.53 tff(6853,plain,
% 72.38/45.53 (~v122(constB45)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6852, 1193, 6845])).
% 72.38/45.53 tff(6854,plain,
% 72.38/45.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6855,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6856,plain,
% 72.38/45.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 72.38/45.53 tff(6857,plain,
% 72.38/45.53 (v130(constB43, bitIndex1)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6856, 976, 6732])).
% 72.38/45.53 tff(6858,plain,
% 72.38/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6859,plain,
% 72.38/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6860,plain,
% 72.38/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 72.38/45.53 tff(6861,plain,
% 72.38/45.53 (v26(constB43) | v127(constB43, bitIndex1)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6860, 990, 6857])).
% 72.38/45.53 tff(6862,plain,
% 72.38/45.53 (v127(constB43, bitIndex1)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6861, 4622])).
% 72.38/45.53 tff(6863,plain,
% 72.38/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6864,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 72.38/45.53 inference(quant_inst,[status(thm)],[])).
% 72.38/45.53 tff(6865,plain,
% 72.38/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 72.38/45.53 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 72.38/45.53 tff(6866,plain,
% 72.38/45.53 ((~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6865, 1005, 6756])).
% 72.38/45.53 tff(6867,plain,
% 72.38/45.53 (v129(constB44, bitIndex1)),
% 72.38/45.53 inference(unit_resolution,[status(thm)],[6866, 6862])).
% 72.38/45.53 tff(6868,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6869,plain,
% 72.38/45.53 ((v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 72.38/45.53 inference(rewrite,[status(thm)],[])).
% 72.38/45.53 tff(6870,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))))),
% 72.38/45.53 inference(monotonicity,[status(thm)],[6869])).
% 72.38/45.53 tff(6871,plain,
% 72.38/45.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6870, 6868])).
% 72.38/45.54 tff(6872,plain,
% 72.38/45.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6873,plain,
% 72.38/45.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 72.38/45.54 tff(6874,plain,
% 72.38/45.54 (v90(constB44, bitIndex1) | (~v100(constB44))),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6873, 1020, 6867])).
% 72.38/45.54 tff(6875,plain,
% 72.38/45.54 (v90(constB44, bitIndex1)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6874, 6796])).
% 72.38/45.54 tff(6876,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6877,plain,
% 72.38/45.54 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6878,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6877])).
% 72.38/45.54 tff(6879,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6878, 6876])).
% 72.38/45.54 tff(6880,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6881,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 72.38/45.54 tff(6882,plain,
% 72.38/45.54 ((~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6881, 1038, 6824])).
% 72.38/45.54 tff(6883,plain,
% 72.38/45.54 ((~v90(constB44, bitIndex1)) | v90(constB45, bitIndex1)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6882, 6836])).
% 72.38/45.54 tff(6884,plain,
% 72.38/45.54 (v90(constB45, bitIndex1)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6883, 6875])).
% 72.38/45.54 tff(6885,plain,
% 72.38/45.54 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6886,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6887,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 72.38/45.54 tff(6888,plain,
% 72.38/45.54 (~v119(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6887, 1207, 6884])).
% 72.38/45.54 tff(6889,plain,
% 72.38/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v120(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v120(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6890,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v120(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6891,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v120(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 72.38/45.54 tff(6892,plain,
% 72.38/45.54 (~v120(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6891, 1240, 6884])).
% 72.38/45.54 tff(6893,plain,
% 72.38/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v124(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v124(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6894,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v124(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6895,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v124(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 72.38/45.54 tff(6896,plain,
% 72.38/45.54 (~v124(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6895, 1229, 6884])).
% 72.38/45.54 tff(6897,plain,
% 72.38/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v123(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6898,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v123(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6899,plain,
% 72.38/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v123(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 72.38/45.54 tff(6900,plain,
% 72.38/45.54 (~v123(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6899, 1218, 6884])).
% 72.38/45.54 tff(6901,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6902,plain,
% 72.38/45.54 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2))) <=> (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6903,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2))))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6902])).
% 72.38/45.54 tff(6904,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2)))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6903, 6901])).
% 72.38/45.54 tff(6905,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6906,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex2))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 72.38/45.54 tff(6907,plain,
% 72.38/45.54 (~v130(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6906, 1254, 6900, 6896, 6892, 6888, 6853, 6849])).
% 72.38/45.54 tff(6908,assumption,(v26(constB45)), introduced(assumption)).
% 72.38/45.54 tff(6909,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6910,plain,
% 72.38/45.54 ($false),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6909, 26, 6908])).
% 72.38/45.54 tff(6911,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.54 tff(6912,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6913,plain,
% 72.38/45.54 ((v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2))) <=> ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6914,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6913])).
% 72.38/45.54 tff(6915,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6914, 6912])).
% 72.38/45.54 tff(6916,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6917,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 72.38/45.54 tff(6918,plain,
% 72.38/45.54 ((~v127(constB45, bitIndex2)) | v130(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6917, 1271, 6911])).
% 72.38/45.54 tff(6919,plain,
% 72.38/45.54 (~v127(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6918, 6907])).
% 72.38/45.54 tff(6920,plain,
% 72.38/45.54 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6921,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 72.38/45.54 tff(6922,plain,
% 72.38/45.54 (nextState(constB45, constB46)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 72.38/45.54 tff(6923,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6924,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6925,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 72.38/45.54 tff(6926,plain,
% 72.38/45.54 (v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6925, 1289, 6922])).
% 72.38/45.54 tff(6927,plain,
% 72.38/45.54 (~v129(constB46, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6926, 6919])).
% 72.38/45.54 tff(6928,assumption,(~v100(constB46)), introduced(assumption)).
% 72.38/45.54 tff(6929,assumption,(~v90(constB46, bitIndex2)), introduced(assumption)).
% 72.38/45.54 tff(6930,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6931,plain,
% 72.38/45.54 (((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)) <=> ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6932,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6931])).
% 72.38/45.54 tff(6933,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6932, 6930])).
% 72.38/45.54 tff(6934,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6935,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 72.38/45.54 tff(6936,plain,
% 72.38/45.54 ((~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6935, 662, 6922])).
% 72.38/45.54 tff(6937,plain,
% 72.38/45.54 (~v90(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6936, 6929, 6928])).
% 72.38/45.54 tff(6938,assumption,(~v90(constB46, bitIndex0)), introduced(assumption)).
% 72.38/45.54 tff(6939,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6940,plain,
% 72.38/45.54 (((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex0)) | v100(constB46) | v90(constB46, bitIndex0)) <=> ((~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6941,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex0)) | v100(constB46) | v90(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0)))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6940])).
% 72.38/45.54 tff(6942,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex0)) | v100(constB46) | v90(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6941, 6939])).
% 72.38/45.54 tff(6943,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex0)) | v100(constB46) | v90(constB46, bitIndex0))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6944,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB45, bitIndex0)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex0)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 72.38/45.54 tff(6945,plain,
% 72.38/45.54 ((~v90(constB45, bitIndex0)) | v100(constB46) | v90(constB46, bitIndex0)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6944, 1461, 6922])).
% 72.38/45.54 tff(6946,plain,
% 72.38/45.54 (~v90(constB45, bitIndex0)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6945, 6938, 6928])).
% 72.38/45.54 tff(6947,plain,
% 72.38/45.54 (~v90(constB45, bitIndex0)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6945, 6928, 6938])).
% 72.38/45.54 tff(6948,plain,
% 72.38/45.54 (~v90(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6936, 6928, 6929])).
% 72.38/45.54 tff(6949,assumption,(~v90(constB45, bitIndex1)), introduced(assumption)).
% 72.38/45.54 tff(6950,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6951,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6952,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 72.38/45.54 tff(6953,plain,
% 72.38/45.54 (v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex2)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6952, 383, 6949])).
% 72.38/45.54 tff(6954,plain,
% 72.38/45.54 (v119(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6953, 6948, 6947])).
% 72.38/45.54 tff(6955,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB45) | (~v119(constB45)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB45) | (~v119(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6956,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB45) | (~v119(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6957,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB45) | (~v119(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 72.38/45.54 tff(6958,plain,
% 72.38/45.54 (v118(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6957, 394, 6954])).
% 72.38/45.54 tff(6959,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB45) | (~v118(constB45)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB45) | (~v118(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6960,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB45) | (~v118(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6961,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB45) | (~v118(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 72.38/45.54 tff(6962,plain,
% 72.38/45.54 (v117(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6961, 405, 6958])).
% 72.38/45.54 tff(6963,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB45) | (~v117(constB45)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB45) | (~v117(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6964,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB45) | (~v117(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6965,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB45) | (~v117(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 72.38/45.54 tff(6966,plain,
% 72.38/45.54 (v116(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6965, 416, 6962])).
% 72.38/45.54 tff(6967,plain,
% 72.38/45.54 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6968,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6969,plain,
% 72.38/45.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 72.38/45.54 tff(6970,plain,
% 72.38/45.54 (v115(constB45)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6969, 427, 6966])).
% 72.38/45.54 tff(6971,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6972,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6973,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 72.38/45.54 tff(6974,plain,
% 72.38/45.54 (~v104(constB46)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6973, 510, 6922, 6821])).
% 72.38/45.54 tff(6975,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6976,plain,
% 72.38/45.54 (((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6977,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6976])).
% 72.38/45.54 tff(6978,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6977, 6975])).
% 72.38/45.54 tff(6979,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6980,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 72.38/45.54 tff(6981,plain,
% 72.38/45.54 (v104(constB46) | v102(constB46)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6980, 524, 6922])).
% 72.38/45.54 tff(6982,plain,
% 72.38/45.54 (v102(constB46)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6981, 6974])).
% 72.38/45.54 tff(6983,plain,
% 72.38/45.54 (v1(constB46) <=> v1(constB46)),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6984,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 72.38/45.54 tff(6985,plain,
% 72.38/45.54 (v1(constB46)),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 72.38/45.54 tff(6986,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6987,plain,
% 72.38/45.54 (((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))) <=> ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6988,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6987])).
% 72.38/45.54 tff(6989,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 72.38/45.54 inference(transitivity,[status(thm)],[6988, 6986])).
% 72.38/45.54 tff(6990,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 72.38/45.54 inference(quant_inst,[status(thm)],[])).
% 72.38/45.54 tff(6991,plain,
% 72.38/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))),
% 72.38/45.54 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 72.38/45.54 tff(6992,plain,
% 72.38/45.54 (v101(constB46) | (~v102(constB46))),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6991, 545, 6922, 6985])).
% 72.38/45.54 tff(6993,plain,
% 72.38/45.54 (v101(constB46)),
% 72.38/45.54 inference(unit_resolution,[status(thm)],[6992, 6982])).
% 72.38/45.54 tff(6994,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6995,plain,
% 72.38/45.54 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.38/45.54 inference(rewrite,[status(thm)],[])).
% 72.38/45.54 tff(6996,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 72.38/45.54 inference(monotonicity,[status(thm)],[6995])).
% 72.38/45.54 tff(6997,plain,
% 72.38/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.38/45.55 inference(transitivity,[status(thm)],[6996, 6994])).
% 72.38/45.55 tff(6998,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(6999,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[6998, 6997])).
% 72.38/45.55 tff(7000,plain,
% 72.38/45.55 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[6999, 563, 6922])).
% 72.38/45.55 tff(7001,plain,
% 72.38/45.55 (v100(constB46) | (~v110(constB46))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7000, 6993])).
% 72.38/45.55 tff(7002,plain,
% 72.38/45.55 (~v110(constB46)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7001, 6928])).
% 72.38/45.55 tff(7003,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7004,plain,
% 72.38/45.55 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7005,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 72.38/45.55 inference(monotonicity,[status(thm)],[7004])).
% 72.38/45.55 tff(7006,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.38/45.55 inference(transitivity,[status(thm)],[7005, 7003])).
% 72.38/45.55 tff(7007,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7008,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 72.38/45.55 tff(7009,plain,
% 72.38/45.55 (v110(constB46) | (~v108(constB45))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7008, 492, 6922])).
% 72.38/45.55 tff(7010,plain,
% 72.38/45.55 (~v108(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7009, 7002])).
% 72.38/45.55 tff(7011,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7012,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7013,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 72.38/45.55 tff(7014,plain,
% 72.38/45.55 (~v112(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7013, 475, 7010])).
% 72.38/45.55 tff(7015,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB45) | (~v26(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB45) | (~v26(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7016,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB45) | (~v26(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7017,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB45) | (~v26(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 72.38/45.55 tff(7018,plain,
% 72.38/45.55 (~v26(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7017, 1807, 7010])).
% 72.38/45.55 tff(7019,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7020,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7021,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7020, 7019])).
% 72.38/45.55 tff(7022,plain,
% 72.38/45.55 (~v113(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7021, 463, 7018, 7014])).
% 72.38/45.55 tff(7023,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7024,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7025,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 72.38/45.55 tff(7026,plain,
% 72.38/45.55 (~v114(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7025, 449, 7022])).
% 72.38/45.55 tff(7027,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7028,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7029,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 72.38/45.55 tff(7030,plain,
% 72.38/45.55 ($false),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7029, 438, 7026, 6970])).
% 72.38/45.55 tff(7031,plain,(v100(constB46) | v90(constB45, bitIndex1) | v90(constB46, bitIndex2) | v90(constB46, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.55 tff(7032,plain,
% 72.38/45.55 (v90(constB45, bitIndex1)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7031, 6938, 6928, 6929])).
% 72.38/45.55 tff(7033,plain,
% 72.38/45.55 (~v115(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7029, 438, 7026])).
% 72.38/45.55 tff(7034,plain,
% 72.38/45.55 (~v116(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[6969, 427, 7033])).
% 72.38/45.55 tff(7035,plain,
% 72.38/45.55 (~v117(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[6965, 416, 7034])).
% 72.38/45.55 tff(7036,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB45) | (~v121(constB45)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB45) | (~v121(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7037,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB45) | (~v121(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7038,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB45) | (~v121(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 72.38/45.55 tff(7039,plain,
% 72.38/45.55 (~v121(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7038, 1775, 7035])).
% 72.38/45.55 tff(7040,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7041,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7042,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 72.38/45.55 tff(7043,plain,
% 72.38/45.55 (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7042, 1734, 7039])).
% 72.38/45.55 tff(7044,plain,
% 72.38/45.55 ($false),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7043, 7032, 6946, 6937])).
% 72.38/45.55 tff(7045,plain,(v90(constB46, bitIndex0) | v100(constB46) | v90(constB46, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.55 tff(7046,plain,
% 72.38/45.55 (v90(constB46, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7045, 6929, 6928])).
% 72.38/45.55 tff(7047,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7048,plain,
% 72.38/45.55 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0))) <=> (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7049,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0))))),
% 72.38/45.55 inference(monotonicity,[status(thm)],[7048])).
% 72.38/45.55 tff(7050,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 72.38/45.55 inference(transitivity,[status(thm)],[7049, 7047])).
% 72.38/45.55 tff(7051,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7052,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 72.38/45.55 tff(7053,plain,
% 72.38/45.55 (v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7052, 362, 6922])).
% 72.38/45.55 tff(7054,plain,
% 72.38/45.55 (v90(constB45, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7053, 7046, 6928])).
% 72.38/45.55 tff(7055,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB45) | (~v122(constB45)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB45) | (~v122(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7056,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB45) | (~v122(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7057,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB45) | (~v122(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 72.38/45.55 tff(7058,plain,
% 72.38/45.55 (~v122(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7057, 1997, 7034])).
% 72.38/45.55 tff(7059,plain,
% 72.38/45.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v122(constB45))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v122(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7060,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v122(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7061,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v122(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 72.38/45.55 tff(7062,plain,
% 72.38/45.55 ((~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7061, 1986, 7058])).
% 72.38/45.55 tff(7063,plain,
% 72.38/45.55 (~v90(constB45, bitIndex1)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7062, 7054, 6937])).
% 72.38/45.55 tff(7064,plain,
% 72.38/45.55 (~v118(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[6961, 405, 7035])).
% 72.38/45.55 tff(7065,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB45) | (~v120(constB45)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB45) | (~v120(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7066,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB45) | (~v120(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7067,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB45) | (~v120(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7066, 7065])).
% 72.38/45.55 tff(7068,plain,
% 72.38/45.55 (~v120(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7067, 1494, 7064])).
% 72.38/45.55 tff(7069,plain,
% 72.38/45.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7070,plain,
% 72.38/45.55 (((~v90(constB45, bitIndex0)) | v120(constB45) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)) <=> ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7071,plain,
% 72.38/45.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex0)) | v120(constB45) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45)))),
% 72.38/45.55 inference(monotonicity,[status(thm)],[7070])).
% 72.38/45.55 tff(7072,plain,
% 72.38/45.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex0)) | v120(constB45) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45))),
% 72.38/45.55 inference(transitivity,[status(thm)],[7071, 7069])).
% 72.38/45.55 tff(7073,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex0)) | v120(constB45) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7074,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | v120(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 72.38/45.55 tff(7075,plain,
% 72.38/45.55 ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7074, 1480, 7068])).
% 72.38/45.55 tff(7076,plain,
% 72.38/45.55 ($false),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7075, 7063, 7054, 6937])).
% 72.38/45.55 tff(7077,plain,(v90(constB46, bitIndex2) | v100(constB46)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.55 tff(7078,plain,
% 72.38/45.55 (v90(constB46, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7077, 6928])).
% 72.38/45.55 tff(7079,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7080,plain,
% 72.38/45.55 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2))) <=> (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7081,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2))))),
% 72.38/45.55 inference(monotonicity,[status(thm)],[7080])).
% 72.38/45.55 tff(7082,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 72.38/45.55 inference(transitivity,[status(thm)],[7081, 7079])).
% 72.38/45.55 tff(7083,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7084,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 72.38/45.55 tff(7085,plain,
% 72.38/45.55 (v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7084, 320, 6922])).
% 72.38/45.55 tff(7086,plain,
% 72.38/45.55 (v90(constB45, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7085, 7078, 6928])).
% 72.38/45.55 tff(7087,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7088,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7089,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 72.38/45.55 tff(7090,plain,
% 72.38/45.55 (~v123(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7089, 840, 7033])).
% 72.38/45.55 tff(7091,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7092,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7093,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7092, 7091])).
% 72.38/45.55 tff(7094,plain,
% 72.38/45.55 (~v125(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7093, 1112, 7022])).
% 72.38/45.55 tff(7095,assumption,(v90(constB45, bitIndex2)), introduced(assumption)).
% 72.38/45.55 tff(7096,assumption,(~v90(constB45, bitIndex0)), introduced(assumption)).
% 72.38/45.55 tff(7097,assumption,(~v123(constB45)), introduced(assumption)).
% 72.38/45.55 tff(7098,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7099,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7100,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 72.38/45.55 tff(7101,plain,
% 72.38/45.55 (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7100, 829, 7097])).
% 72.38/45.55 tff(7102,plain,
% 72.38/45.55 (v90(constB45, bitIndex1)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7101, 7096, 7095])).
% 72.38/45.55 tff(7103,assumption,(~v125(constB45)), introduced(assumption)).
% 72.38/45.55 tff(7104,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7105,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7106,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7105, 7104])).
% 72.38/45.55 tff(7107,plain,
% 72.38/45.55 (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7106, 1101, 7103])).
% 72.38/45.55 tff(7108,plain,
% 72.38/45.55 ($false),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7107, 7102, 7096, 7095])).
% 72.38/45.55 tff(7109,plain,(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)) | v125(constB45) | v123(constB45)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.55 tff(7110,plain,
% 72.38/45.55 (v90(constB45, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7109, 7086, 7094, 7090])).
% 72.38/45.55 tff(7111,plain,
% 72.38/45.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB45) | (~v124(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB45) | (~v124(constB45)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7112,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB45) | (~v124(constB45)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7113,plain,
% 72.38/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB45) | (~v124(constB45))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7112, 7111])).
% 72.38/45.55 tff(7114,plain,
% 72.38/45.55 (~v124(constB45)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7113, 3631, 7026])).
% 72.38/45.55 tff(7115,plain,
% 72.38/45.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v124(constB45))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v124(constB45))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7116,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v124(constB45))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7117,plain,
% 72.38/45.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v124(constB45)),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 72.38/45.55 tff(7118,plain,
% 72.38/45.55 ((~v90(constB45, bitIndex0)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7117, 3620, 7114])).
% 72.38/45.55 tff(7119,plain,
% 72.38/45.55 (v90(constB45, bitIndex1)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7118, 7110, 7086])).
% 72.38/45.55 tff(7120,plain,
% 72.38/45.55 (v90(constB46, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[6945, 7110, 6928])).
% 72.38/45.55 tff(7121,assumption,(v90(constB44, bitIndex1)), introduced(assumption)).
% 72.38/45.55 tff(7122,assumption,(v90(constB46, bitIndex0)), introduced(assumption)).
% 72.38/45.55 tff(7123,plain,
% 72.38/45.55 (v90(constB45, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7053, 6928, 7122])).
% 72.38/45.55 tff(7124,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7125,plain,
% 72.38/45.55 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7126,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 72.38/45.55 inference(monotonicity,[status(thm)],[7125])).
% 72.38/45.55 tff(7127,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.38/45.55 inference(transitivity,[status(thm)],[7126, 7124])).
% 72.38/45.55 tff(7128,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.38/45.55 inference(quant_inst,[status(thm)],[])).
% 72.38/45.55 tff(7129,plain,
% 72.38/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 72.38/45.55 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 72.38/45.55 tff(7130,plain,
% 72.38/45.55 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7129, 362, 6824])).
% 72.38/45.55 tff(7131,plain,
% 72.38/45.55 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7130, 6836])).
% 72.38/45.55 tff(7132,plain,
% 72.38/45.55 (v90(constB44, bitIndex0)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7131, 7123])).
% 72.38/45.55 tff(7133,assumption,(v90(constB46, bitIndex2)), introduced(assumption)).
% 72.38/45.55 tff(7134,plain,
% 72.38/45.55 (v90(constB45, bitIndex2)),
% 72.38/45.55 inference(unit_resolution,[status(thm)],[7085, 6928, 7133])).
% 72.38/45.55 tff(7135,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7136,plain,
% 72.38/45.55 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 72.38/45.55 inference(rewrite,[status(thm)],[])).
% 72.38/45.55 tff(7137,plain,
% 72.38/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7136])).
% 72.38/45.56 tff(7138,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7137, 7135])).
% 72.38/45.56 tff(7139,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7140,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 72.38/45.56 tff(7141,plain,
% 72.38/45.56 (v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7140, 320, 6824])).
% 72.38/45.56 tff(7142,plain,
% 72.38/45.56 (v90(constB44, bitIndex2) | (~v90(constB45, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7141, 6836])).
% 72.38/45.56 tff(7143,plain,
% 72.38/45.56 (v90(constB44, bitIndex2)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7142, 7134])).
% 72.38/45.56 tff(7144,assumption,(~v100(constB44)), introduced(assumption)).
% 72.38/45.56 tff(7145,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7146,plain,
% 72.38/45.56 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))) <=> (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7147,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7146])).
% 72.38/45.56 tff(7148,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7147, 7145])).
% 72.38/45.56 tff(7149,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7150,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 72.38/45.56 tff(7151,plain,
% 72.38/45.56 (v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7150, 341, 6756])).
% 72.38/45.56 tff(7152,plain,
% 72.38/45.56 (v90(constB43, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7151, 7144, 7121])).
% 72.38/45.56 tff(7153,plain,
% 72.38/45.56 (v90(constB42, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6693, 7152])).
% 72.38/45.56 tff(7154,assumption,(v90(constB44, bitIndex2)), introduced(assumption)).
% 72.38/45.56 tff(7155,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7156,plain,
% 72.38/45.56 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))) <=> (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7157,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7156])).
% 72.38/45.56 tff(7158,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7157, 7155])).
% 72.38/45.56 tff(7159,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7160,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 72.38/45.56 tff(7161,plain,
% 72.38/45.56 (v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7160, 320, 6756])).
% 72.38/45.56 tff(7162,plain,
% 72.38/45.56 (v90(constB43, bitIndex2)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7161, 7144, 7154])).
% 72.38/45.56 tff(7163,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7164,plain,
% 72.38/45.56 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7165,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7164])).
% 72.38/45.56 tff(7166,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7165, 7163])).
% 72.38/45.56 tff(7167,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7168,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 72.38/45.56 tff(7169,plain,
% 72.38/45.56 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7168, 320, 6639])).
% 72.38/45.56 tff(7170,plain,
% 72.38/45.56 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7169, 6651])).
% 72.38/45.56 tff(7171,plain,
% 72.38/45.56 (v90(constB42, bitIndex2)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7170, 7162])).
% 72.38/45.56 tff(7172,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7173,plain,
% 72.38/45.56 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2))) <=> (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7174,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7173])).
% 72.38/45.56 tff(7175,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7174, 7172])).
% 72.38/45.56 tff(7176,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7177,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 72.38/45.56 tff(7178,plain,
% 72.38/45.56 (v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7177, 320, 6571])).
% 72.38/45.56 tff(7179,plain,
% 72.38/45.56 (v100(constB42) | (~v90(constB42, bitIndex2))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7178, 6477])).
% 72.38/45.56 tff(7180,plain,
% 72.38/45.56 (v100(constB42)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7179, 7171])).
% 72.38/45.56 tff(7181,plain,
% 72.38/45.56 (v129(constB42, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6683, 728, 7180, 7153])).
% 72.38/45.56 tff(7182,plain,
% 72.38/45.56 (v127(constB41, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6676, 7181])).
% 72.38/45.56 tff(7183,plain,
% 72.38/45.56 (v26(constB41)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6671, 7182])).
% 72.38/45.56 tff(7184,assumption,(v90(constB44, bitIndex0)), introduced(assumption)).
% 72.38/45.56 tff(7185,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7186,plain,
% 72.38/45.56 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))) <=> (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7187,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7186])).
% 72.38/45.56 tff(7188,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7187, 7185])).
% 72.38/45.56 tff(7189,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7190,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 72.38/45.56 tff(7191,plain,
% 72.38/45.56 (v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7190, 362, 6756])).
% 72.38/45.56 tff(7192,plain,
% 72.38/45.56 (v90(constB43, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7191, 7144, 7184])).
% 72.38/45.56 tff(7193,plain,
% 72.38/45.56 (v90(constB42, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6727, 7192])).
% 72.38/45.56 tff(7194,plain,
% 72.38/45.56 (v129(constB42, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6717, 802, 7180, 7193])).
% 72.38/45.56 tff(7195,plain,
% 72.38/45.56 (v127(constB41, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[6710, 7194])).
% 72.38/45.56 tff(7196,plain,
% 72.38/45.56 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB41)) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB41)) | (~v127(constB41, bitIndex0)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7197,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB41)) | (~v127(constB41, bitIndex0)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7198,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB41)) | (~v127(constB41, bitIndex0))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 72.38/45.56 tff(7199,plain,
% 72.38/45.56 ($false),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7198, 3193, 7195, 7183])).
% 72.38/45.56 tff(7200,plain,(v100(constB44) | (~v90(constB44, bitIndex2)) | (~v90(constB44, bitIndex0)) | (~v90(constB44, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.38/45.56 tff(7201,plain,
% 72.38/45.56 (v100(constB44)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7200, 7143, 7132, 7121])).
% 72.38/45.56 tff(7202,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7203,plain,
% 72.38/45.56 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7204,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7203])).
% 72.38/45.56 tff(7205,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7204, 7202])).
% 72.38/45.56 tff(7206,plain,
% 72.38/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7207,plain,
% 72.38/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 72.38/45.56 tff(7208,plain,
% 72.38/45.56 (v129(constB44, bitIndex1) | (~v100(constB44))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7207, 728, 7121])).
% 72.38/45.56 tff(7209,plain,
% 72.38/45.56 (v129(constB44, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7208, 7201])).
% 72.38/45.56 tff(7210,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7211,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7212,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 72.38/45.56 tff(7213,plain,
% 72.38/45.56 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7212, 713, 6756])).
% 72.38/45.56 tff(7214,plain,
% 72.38/45.56 (v127(constB43, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7213, 7209])).
% 72.38/45.56 tff(7215,plain,
% 72.38/45.56 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 72.38/45.56 inference(bind,[status(th)],[])).
% 72.38/45.56 tff(7216,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(quant_intro,[status(thm)],[7215])).
% 72.38/45.56 tff(7217,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7218,plain,
% 72.38/45.56 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 72.38/45.56 inference(bind,[status(th)],[])).
% 72.38/45.56 tff(7219,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(quant_intro,[status(thm)],[7218])).
% 72.38/45.56 tff(7220,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 72.38/45.56 tff(7221,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 72.38/45.56 tff(7222,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7221, 7217])).
% 72.38/45.56 tff(7223,plain,(
% 72.38/45.56 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(skolemize,[status(sab)],[7222])).
% 72.38/45.56 tff(7224,plain,
% 72.38/45.56 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7223, 7216])).
% 72.38/45.56 tff(7225,plain,
% 72.38/45.56 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB43)) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB43)) | (~v127(constB43, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7226,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB43)) | (~v127(constB43, bitIndex1)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7227,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB43)) | (~v127(constB43, bitIndex1))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7226, 7225])).
% 72.38/45.56 tff(7228,plain,
% 72.38/45.56 (~v26(constB43)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7227, 7224, 7214])).
% 72.38/45.56 tff(7229,plain,
% 72.38/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7230,plain,
% 72.38/45.56 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7231,plain,
% 72.38/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7230])).
% 72.38/45.56 tff(7232,plain,
% 72.38/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7231, 7229])).
% 72.38/45.56 tff(7233,plain,
% 72.38/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7234,plain,
% 72.38/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7233, 7232])).
% 72.38/45.56 tff(7235,plain,
% 72.38/45.56 (v130(constB43, bitIndex1)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7234, 695, 7214, 7228])).
% 72.38/45.56 tff(7236,plain,
% 72.38/45.56 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7237,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7238,plain,
% 72.38/45.56 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB43)) | (~v130(constB43, bitIndex1))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 72.38/45.56 tff(7239,plain,
% 72.38/45.56 (~v119(constB43)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7238, 681, 7235])).
% 72.38/45.56 tff(7240,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7241,plain,
% 72.38/45.56 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7242,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7241])).
% 72.38/45.56 tff(7243,plain,
% 72.38/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.38/45.56 inference(transitivity,[status(thm)],[7242, 7240])).
% 72.38/45.56 tff(7244,plain,
% 72.38/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7245,plain,
% 72.38/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 72.38/45.56 tff(7246,plain,
% 72.38/45.56 (v129(constB44, bitIndex0) | (~v100(constB44))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7245, 802, 7132])).
% 72.38/45.56 tff(7247,plain,
% 72.38/45.56 (v129(constB44, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7246, 7201])).
% 72.38/45.56 tff(7248,plain,
% 72.38/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7249,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 72.38/45.56 inference(quant_inst,[status(thm)],[])).
% 72.38/45.56 tff(7250,plain,
% 72.38/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 72.38/45.56 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 72.38/45.56 tff(7251,plain,
% 72.38/45.56 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7250, 787, 6756])).
% 72.38/45.56 tff(7252,plain,
% 72.38/45.56 (v127(constB43, bitIndex0)),
% 72.38/45.56 inference(unit_resolution,[status(thm)],[7251, 7247])).
% 72.38/45.56 tff(7253,plain,
% 72.38/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7254,plain,
% 72.38/45.56 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.38/45.56 inference(rewrite,[status(thm)],[])).
% 72.38/45.56 tff(7255,plain,
% 72.38/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 72.38/45.56 inference(monotonicity,[status(thm)],[7254])).
% 72.38/45.56 tff(7256,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7255, 7253])).
% 72.38/45.57 tff(7257,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7258,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 72.38/45.57 tff(7259,plain,
% 72.38/45.57 (v130(constB43, bitIndex0)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7258, 769, 7252, 7228])).
% 72.38/45.57 tff(7260,plain,
% 72.38/45.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7261,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7262,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB43)) | (~v130(constB43, bitIndex0))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 72.38/45.57 tff(7263,plain,
% 72.38/45.57 (~v120(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7262, 1690, 7259])).
% 72.38/45.57 tff(7264,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7265,plain,
% 72.38/45.57 (((~v90(constB44, bitIndex2)) | (~v100(constB44)) | v129(constB44, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7266,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~v100(constB44)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7265])).
% 72.38/45.57 tff(7267,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~v100(constB44)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7266, 7264])).
% 72.38/45.57 tff(7268,plain,
% 72.38/45.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~v100(constB44)) | v129(constB44, bitIndex2))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7269,plain,
% 72.38/45.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 72.38/45.57 tff(7270,plain,
% 72.38/45.57 (v129(constB44, bitIndex2) | (~v100(constB44))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7269, 1304, 7143])).
% 72.38/45.57 tff(7271,plain,
% 72.38/45.57 (v129(constB44, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7270, 7201])).
% 72.38/45.57 tff(7272,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7273,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7274,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 72.38/45.57 tff(7275,plain,
% 72.38/45.57 (v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7274, 1289, 6756])).
% 72.38/45.57 tff(7276,plain,
% 72.38/45.57 (v127(constB43, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7275, 7271])).
% 72.38/45.57 tff(7277,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7278,plain,
% 72.38/45.57 ((v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2))) <=> ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7279,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2)))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7278])).
% 72.38/45.57 tff(7280,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7279, 7277])).
% 72.38/45.57 tff(7281,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7282,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 72.38/45.57 tff(7283,plain,
% 72.38/45.57 (v130(constB43, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7282, 1271, 7276, 7228])).
% 72.38/45.57 tff(7284,plain,
% 72.38/45.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB43)) | (~v130(constB43, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB43)) | (~v130(constB43, bitIndex2)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7285,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB43)) | (~v130(constB43, bitIndex2)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7286,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB43)) | (~v130(constB43, bitIndex2))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 72.38/45.57 tff(7287,plain,
% 72.38/45.57 (~v121(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7286, 1748, 7283])).
% 72.38/45.57 tff(7288,plain,
% 72.38/45.57 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7289,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7290,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 72.38/45.57 tff(7291,plain,
% 72.38/45.57 (~v122(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7290, 2138, 7235])).
% 72.38/45.57 tff(7292,plain,
% 72.38/45.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7293,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7294,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 72.38/45.57 tff(7295,plain,
% 72.38/45.57 (~v123(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7294, 1057, 7259])).
% 72.38/45.57 tff(7296,plain,
% 72.38/45.57 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB43)) | (~v130(constB43, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB43)) | (~v130(constB43, bitIndex2)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7297,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB43)) | (~v130(constB43, bitIndex2)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7298,plain,
% 72.38/45.57 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB43)) | (~v130(constB43, bitIndex2))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 72.38/45.57 tff(7299,plain,
% 72.38/45.57 (~v124(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7298, 3733, 7283])).
% 72.38/45.57 tff(7300,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7301,plain,
% 72.38/45.57 ((v120(constB43) | v119(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1))) <=> ((~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7302,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB43) | v119(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43)))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7301])).
% 72.38/45.57 tff(7303,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB43) | v119(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7302, 7300])).
% 72.38/45.57 tff(7304,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB43) | v119(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7305,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB43, bitIndex1)) | v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 72.38/45.57 tff(7306,plain,
% 72.38/45.57 (v124(constB43) | v123(constB43) | v122(constB43) | v121(constB43) | v120(constB43) | v119(constB43)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7305, 1349, 7235])).
% 72.38/45.57 tff(7307,plain,
% 72.38/45.57 ($false),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7306, 7299, 7295, 7291, 7287, 7263, 7239])).
% 72.38/45.57 tff(7308,plain,(v100(constB46) | (~v90(constB44, bitIndex1)) | (~v90(constB46, bitIndex2)) | (~v90(constB46, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.38/45.57 tff(7309,plain,
% 72.38/45.57 (~v90(constB44, bitIndex1)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7308, 7120, 6928, 7078])).
% 72.38/45.57 tff(7310,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7311,plain,
% 72.38/45.57 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7312,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7311])).
% 72.38/45.57 tff(7313,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7312, 7310])).
% 72.38/45.57 tff(7314,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7315,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 72.38/45.57 tff(7316,plain,
% 72.38/45.57 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7315, 341, 6824])).
% 72.38/45.57 tff(7317,plain,
% 72.38/45.57 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7316, 6836])).
% 72.38/45.57 tff(7318,plain,
% 72.38/45.57 ($false),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7317, 7309, 7119])).
% 72.38/45.57 tff(7319,plain,(v100(constB46)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.57 tff(7320,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7321,plain,
% 72.38/45.57 (((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7322,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7321])).
% 72.38/45.57 tff(7323,plain,
% 72.38/45.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7322, 7320])).
% 72.38/45.57 tff(7324,plain,
% 72.38/45.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7325,plain,
% 72.38/45.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 72.38/45.57 tff(7326,plain,
% 72.38/45.57 ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7325, 1304, 7319])).
% 72.38/45.57 tff(7327,plain,
% 72.38/45.57 (~v90(constB46, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7326, 6927])).
% 72.38/45.57 tff(7328,plain,
% 72.38/45.57 ((~v1(constB47)) <=> (~v1(constB47))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7329,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 72.38/45.57 tff(7330,plain,
% 72.38/45.57 (~v1(constB47)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 72.38/45.57 tff(7331,plain,
% 72.38/45.57 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7332,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 72.38/45.57 tff(7333,plain,
% 72.38/45.57 (nextState(constB46, constB47)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 72.38/45.57 tff(7334,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7335,plain,
% 72.38/45.57 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7336,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7335])).
% 72.38/45.57 tff(7337,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7336, 7334])).
% 72.38/45.57 tff(7338,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7339,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 72.38/45.57 tff(7340,plain,
% 72.38/45.57 (~v101(constB47)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7339, 288, 7333, 7330])).
% 72.38/45.57 tff(7341,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7342,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7343,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 72.38/45.57 tff(7344,plain,
% 72.38/45.57 (v101(constB47) | (~v100(constB47))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7343, 305, 7333])).
% 72.38/45.57 tff(7345,plain,
% 72.38/45.57 (~v100(constB47)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7344, 7340])).
% 72.38/45.57 tff(7346,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7347,plain,
% 72.38/45.57 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7348,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7347])).
% 72.38/45.57 tff(7349,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7348, 7346])).
% 72.38/45.57 tff(7350,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7351,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 72.38/45.57 tff(7352,plain,
% 72.38/45.57 (v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7351, 320, 7333])).
% 72.38/45.57 tff(7353,plain,
% 72.38/45.57 (v90(constB46, bitIndex2) | (~v90(constB47, bitIndex2))),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7352, 7345])).
% 72.38/45.57 tff(7354,plain,
% 72.38/45.57 (~v90(constB47, bitIndex2)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7353, 7327])).
% 72.38/45.57 tff(7355,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7356,plain,
% 72.38/45.57 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))) <=> (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7357,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1))))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7356])).
% 72.38/45.57 tff(7358,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1)))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7357, 7355])).
% 72.38/45.57 tff(7359,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7360,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~v130(constB45, bitIndex1))),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 72.38/45.57 tff(7361,plain,
% 72.38/45.57 (~v130(constB45, bitIndex1)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7360, 1349, 6900, 6896, 6892, 6888, 6853, 6849])).
% 72.38/45.57 tff(7362,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7363,plain,
% 72.38/45.57 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7364,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 72.38/45.57 inference(monotonicity,[status(thm)],[7363])).
% 72.38/45.57 tff(7365,plain,
% 72.38/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.38/45.57 inference(transitivity,[status(thm)],[7364, 7362])).
% 72.38/45.57 tff(7366,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.57 tff(7367,plain,
% 72.38/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 72.38/45.57 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 72.38/45.57 tff(7368,plain,
% 72.38/45.57 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7367, 695, 6911])).
% 72.38/45.57 tff(7369,plain,
% 72.38/45.57 (~v127(constB45, bitIndex1)),
% 72.38/45.57 inference(unit_resolution,[status(thm)],[7368, 7361])).
% 72.38/45.57 tff(7370,plain,
% 72.38/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 72.38/45.57 inference(rewrite,[status(thm)],[])).
% 72.38/45.57 tff(7371,plain,
% 72.38/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 72.38/45.57 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7372,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 72.38/45.58 tff(7373,plain,
% 72.38/45.58 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7372, 713, 6922])).
% 72.38/45.58 tff(7374,plain,
% 72.38/45.58 (~v129(constB46, bitIndex1)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7373, 7369])).
% 72.38/45.58 tff(7375,plain,
% 72.38/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7376,plain,
% 72.38/45.58 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7377,plain,
% 72.38/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7376])).
% 72.38/45.58 tff(7378,plain,
% 72.38/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7377, 7375])).
% 72.38/45.58 tff(7379,plain,
% 72.38/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7380,plain,
% 72.38/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 72.38/45.58 tff(7381,plain,
% 72.38/45.58 ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7380, 728, 7319])).
% 72.38/45.58 tff(7382,plain,
% 72.38/45.58 (~v90(constB46, bitIndex1)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7381, 7374])).
% 72.38/45.58 tff(7383,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7384,plain,
% 72.38/45.58 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7385,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7384])).
% 72.38/45.58 tff(7386,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7385, 7383])).
% 72.38/45.58 tff(7387,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7388,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7387, 7386])).
% 72.38/45.58 tff(7389,plain,
% 72.38/45.58 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7388, 341, 7333])).
% 72.38/45.58 tff(7390,plain,
% 72.38/45.58 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7389, 7345])).
% 72.38/45.58 tff(7391,plain,
% 72.38/45.58 (~v90(constB47, bitIndex1)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7390, 7382])).
% 72.38/45.58 tff(7392,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7393,plain,
% 72.38/45.58 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)) <=> (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7394,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0)))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7393])).
% 72.38/45.58 tff(7395,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7394, 7392])).
% 72.38/45.58 tff(7396,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7397,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v130(constB45, bitIndex0)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 72.38/45.58 tff(7398,plain,
% 72.38/45.58 (v130(constB45, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7397, 1396, 6900, 6896, 6892, 6888, 6853, 6849])).
% 72.38/45.58 tff(7399,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7400,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7401,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 72.38/45.58 tff(7402,plain,
% 72.38/45.58 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7401, 1413, 6911])).
% 72.38/45.58 tff(7403,plain,
% 72.38/45.58 (v127(constB45, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7402, 7398])).
% 72.38/45.58 tff(7404,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7405,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7406,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 72.38/45.58 tff(7407,plain,
% 72.38/45.58 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7406, 1428, 6922])).
% 72.38/45.58 tff(7408,plain,
% 72.38/45.58 (v129(constB46, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7407, 7403])).
% 72.38/45.58 tff(7409,plain,
% 72.38/45.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7410,plain,
% 72.38/45.58 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7411,plain,
% 72.38/45.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7410])).
% 72.38/45.58 tff(7412,plain,
% 72.38/45.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7411, 7409])).
% 72.38/45.58 tff(7413,plain,
% 72.38/45.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7414,plain,
% 72.38/45.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 72.38/45.58 tff(7415,plain,
% 72.38/45.58 (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7414, 1443, 7319])).
% 72.38/45.58 tff(7416,plain,
% 72.38/45.58 (v90(constB46, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7415, 7408])).
% 72.38/45.58 tff(7417,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7418,plain,
% 72.38/45.58 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7419,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7418])).
% 72.38/45.58 tff(7420,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7419, 7417])).
% 72.38/45.58 tff(7421,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7422,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 72.38/45.58 tff(7423,plain,
% 72.38/45.58 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7422, 1461, 7333])).
% 72.38/45.58 tff(7424,plain,
% 72.38/45.58 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7423, 7345])).
% 72.38/45.58 tff(7425,plain,
% 72.38/45.58 (v90(constB47, bitIndex0)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7424, 7416])).
% 72.38/45.58 tff(7426,plain,
% 72.38/45.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7427,plain,
% 72.38/45.58 (((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)) <=> ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7428,plain,
% 72.38/45.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7427])).
% 72.38/45.58 tff(7429,plain,
% 72.38/45.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7428, 7426])).
% 72.38/45.58 tff(7430,plain,
% 72.38/45.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7431,plain,
% 72.38/45.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 72.38/45.58 tff(7432,plain,
% 72.38/45.58 (v120(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7431, 1480, 7425, 7391, 7354])).
% 72.38/45.58 tff(7433,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7434,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7435,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 72.38/45.58 tff(7436,plain,
% 72.38/45.58 (v118(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7435, 1494, 7432])).
% 72.38/45.58 tff(7437,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7438,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7439,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 72.38/45.58 tff(7440,plain,
% 72.38/45.58 (v117(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7439, 405, 7436])).
% 72.38/45.58 tff(7441,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7442,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7443,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 72.38/45.58 tff(7444,plain,
% 72.38/45.58 (v116(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7443, 416, 7440])).
% 72.38/45.58 tff(7445,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7446,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7447,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 72.38/45.58 tff(7448,plain,
% 72.38/45.58 (v115(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7447, 427, 7444])).
% 72.38/45.58 tff(7449,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7450,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7451,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 72.38/45.58 tff(7452,plain,
% 72.38/45.58 (v114(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7451, 438, 7448])).
% 72.38/45.58 tff(7453,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7454,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7455,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 72.38/45.58 tff(7456,plain,
% 72.38/45.58 (v113(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7455, 449, 7452])).
% 72.38/45.58 tff(7457,assumption,(~v108(constB47)), introduced(assumption)).
% 72.38/45.58 tff(7458,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7459,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7460,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 72.38/45.58 tff(7461,plain,
% 72.38/45.58 (~v112(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7460, 475, 7457])).
% 72.38/45.58 tff(7462,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7463,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7464,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 72.38/45.58 tff(7465,plain,
% 72.38/45.58 (~v26(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7464, 1807, 7457])).
% 72.38/45.58 tff(7466,assumption,(v113(constB47)), introduced(assumption)).
% 72.38/45.58 tff(7467,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7468,plain,
% 72.38/45.58 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7469,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7468])).
% 72.38/45.58 tff(7470,plain,
% 72.38/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7469, 7467])).
% 72.38/45.58 tff(7471,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7472,plain,
% 72.38/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 72.38/45.58 tff(7473,plain,
% 72.38/45.58 (v26(constB47) | v112(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7472, 463, 7466])).
% 72.38/45.58 tff(7474,plain,
% 72.38/45.58 ($false),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7473, 7465, 7461])).
% 72.38/45.58 tff(7475,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 72.38/45.58 tff(7476,plain,
% 72.38/45.58 (v108(constB47)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7475, 7456])).
% 72.38/45.58 tff(7477,plain,
% 72.38/45.58 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7478,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 72.38/45.58 tff(7479,plain,
% 72.38/45.58 (nextState(constB47, constB48)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 72.38/45.58 tff(7480,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7481,plain,
% 72.38/45.58 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7482,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7481])).
% 72.38/45.58 tff(7483,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7482, 7480])).
% 72.38/45.58 tff(7484,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7485,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 72.38/45.58 tff(7486,plain,
% 72.38/45.58 (v110(constB48) | (~v108(constB47))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7485, 492, 7479])).
% 72.38/45.58 tff(7487,plain,
% 72.38/45.58 (v110(constB48)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7486, 7476])).
% 72.38/45.58 tff(7488,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7489,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7490,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 72.38/45.58 tff(7491,plain,
% 72.38/45.58 (~v104(constB48)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7490, 510, 7479, 7330])).
% 72.38/45.58 tff(7492,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7493,plain,
% 72.38/45.58 (((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7494,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7493])).
% 72.38/45.58 tff(7495,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7494, 7492])).
% 72.38/45.58 tff(7496,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7497,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 72.38/45.58 tff(7498,plain,
% 72.38/45.58 (v104(constB48) | v102(constB48)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7497, 524, 7479])).
% 72.38/45.58 tff(7499,plain,
% 72.38/45.58 (v102(constB48)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7498, 7491])).
% 72.38/45.58 tff(7500,plain,
% 72.38/45.58 (v1(constB48) <=> v1(constB48)),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7501,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 72.38/45.58 tff(7502,plain,
% 72.38/45.58 (v1(constB48)),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 72.38/45.58 tff(7503,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7504,plain,
% 72.38/45.58 (((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))) <=> ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7505,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7504])).
% 72.38/45.58 tff(7506,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 72.38/45.58 inference(transitivity,[status(thm)],[7505, 7503])).
% 72.38/45.58 tff(7507,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 72.38/45.58 inference(quant_inst,[status(thm)],[])).
% 72.38/45.58 tff(7508,plain,
% 72.38/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))),
% 72.38/45.58 inference(modus_ponens,[status(thm)],[7507, 7506])).
% 72.38/45.58 tff(7509,plain,
% 72.38/45.58 (v101(constB48) | (~v102(constB48))),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7508, 545, 7479, 7502])).
% 72.38/45.58 tff(7510,plain,
% 72.38/45.58 (v101(constB48)),
% 72.38/45.58 inference(unit_resolution,[status(thm)],[7509, 7499])).
% 72.38/45.58 tff(7511,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7512,plain,
% 72.38/45.58 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.38/45.58 inference(rewrite,[status(thm)],[])).
% 72.38/45.58 tff(7513,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 72.38/45.58 inference(monotonicity,[status(thm)],[7512])).
% 72.38/45.58 tff(7514,plain,
% 72.38/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7513, 7511])).
% 72.38/45.59 tff(7515,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7516,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 72.38/45.59 tff(7517,plain,
% 72.38/45.59 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7516, 563, 7479])).
% 72.38/45.59 tff(7518,plain,
% 72.38/45.59 (v100(constB48) | (~v110(constB48))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7517, 7510])).
% 72.38/45.59 tff(7519,plain,
% 72.38/45.59 (v100(constB48)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7518, 7487])).
% 72.38/45.59 tff(7520,plain,
% 72.38/45.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7521,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7522,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 72.38/45.59 tff(7523,plain,
% 72.38/45.59 (~v130(constB47, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7522, 1587, 7432])).
% 72.38/45.59 tff(7524,assumption,(v26(constB47)), introduced(assumption)).
% 72.38/45.59 tff(7525,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7526,plain,
% 72.38/45.59 ($false),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7525, 26, 7524])).
% 72.38/45.59 tff(7527,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.59 tff(7528,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7529,plain,
% 72.38/45.59 ((v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2))) <=> ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7530,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7529])).
% 72.38/45.59 tff(7531,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7530, 7528])).
% 72.38/45.59 tff(7532,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7533,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7532, 7531])).
% 72.38/45.59 tff(7534,plain,
% 72.38/45.59 ((~v127(constB47, bitIndex2)) | v130(constB47, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7533, 1271, 7527])).
% 72.38/45.59 tff(7535,plain,
% 72.38/45.59 (~v127(constB47, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7534, 7523])).
% 72.38/45.59 tff(7536,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7537,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7538,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 72.38/45.59 tff(7539,plain,
% 72.38/45.59 (v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7538, 1289, 7479])).
% 72.38/45.59 tff(7540,plain,
% 72.38/45.59 (~v129(constB48, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7539, 7535])).
% 72.38/45.59 tff(7541,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7542,plain,
% 72.38/45.59 (((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7543,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7542])).
% 72.38/45.59 tff(7544,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7543, 7541])).
% 72.38/45.59 tff(7545,plain,
% 72.38/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7546,plain,
% 72.38/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 72.38/45.59 tff(7547,plain,
% 72.38/45.59 ((~v90(constB48, bitIndex2)) | (~v100(constB48))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7546, 1304, 7540])).
% 72.38/45.59 tff(7548,plain,
% 72.38/45.59 (~v90(constB48, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7547, 7519])).
% 72.38/45.59 tff(7549,plain,
% 72.38/45.59 ((~v1(constB49)) <=> (~v1(constB49))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7550,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 72.38/45.59 tff(7551,plain,
% 72.38/45.59 (~v1(constB49)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 72.38/45.59 tff(7552,plain,
% 72.38/45.59 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7553,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 72.38/45.59 tff(7554,plain,
% 72.38/45.59 (nextState(constB48, constB49)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 72.38/45.59 tff(7555,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7556,plain,
% 72.38/45.59 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7557,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7556])).
% 72.38/45.59 tff(7558,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7557, 7555])).
% 72.38/45.59 tff(7559,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7560,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 72.38/45.59 tff(7561,plain,
% 72.38/45.59 (~v101(constB49)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7560, 288, 7554, 7551])).
% 72.38/45.59 tff(7562,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7563,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7564,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 72.38/45.59 tff(7565,plain,
% 72.38/45.59 (v101(constB49) | (~v100(constB49))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7564, 305, 7554])).
% 72.38/45.59 tff(7566,plain,
% 72.38/45.59 (~v100(constB49)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7565, 7561])).
% 72.38/45.59 tff(7567,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7568,plain,
% 72.38/45.59 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7569,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7568])).
% 72.38/45.59 tff(7570,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7569, 7567])).
% 72.38/45.59 tff(7571,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7572,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 72.38/45.59 tff(7573,plain,
% 72.38/45.59 (v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7572, 320, 7554])).
% 72.38/45.59 tff(7574,plain,
% 72.38/45.59 (v90(constB48, bitIndex2) | (~v90(constB49, bitIndex2))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7573, 7566])).
% 72.38/45.59 tff(7575,plain,
% 72.38/45.59 (~v90(constB49, bitIndex2)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7574, 7548])).
% 72.38/45.59 tff(7576,plain,
% 72.38/45.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7577,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7578,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 72.38/45.59 tff(7579,plain,
% 72.38/45.59 (v130(constB47, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7578, 1649, 7432])).
% 72.38/45.59 tff(7580,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7581,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7582,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 72.38/45.59 tff(7583,plain,
% 72.38/45.59 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7582, 990, 7527])).
% 72.38/45.59 tff(7584,plain,
% 72.38/45.59 (v127(constB47, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7583, 7579])).
% 72.38/45.59 tff(7585,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7586,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7587,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7586, 7585])).
% 72.38/45.59 tff(7588,plain,
% 72.38/45.59 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7587, 1005, 7479])).
% 72.38/45.59 tff(7589,plain,
% 72.38/45.59 (v129(constB48, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7588, 7584])).
% 72.38/45.59 tff(7590,plain,
% 72.38/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7591,plain,
% 72.38/45.59 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7592,plain,
% 72.38/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7591])).
% 72.38/45.59 tff(7593,plain,
% 72.38/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7592, 7590])).
% 72.38/45.59 tff(7594,plain,
% 72.38/45.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7595,plain,
% 72.38/45.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 72.38/45.59 tff(7596,plain,
% 72.38/45.59 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7595, 1020, 7589])).
% 72.38/45.59 tff(7597,plain,
% 72.38/45.59 (v90(constB48, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7596, 7519])).
% 72.38/45.59 tff(7598,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7599,plain,
% 72.38/45.59 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7600,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7599])).
% 72.38/45.59 tff(7601,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7600, 7598])).
% 72.38/45.59 tff(7602,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7603,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 72.38/45.59 tff(7604,plain,
% 72.38/45.59 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7603, 1038, 7554])).
% 72.38/45.59 tff(7605,plain,
% 72.38/45.59 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7604, 7566])).
% 72.38/45.59 tff(7606,plain,
% 72.38/45.59 (v90(constB49, bitIndex1)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7605, 7597])).
% 72.38/45.59 tff(7607,plain,
% 72.38/45.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7608,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7609,plain,
% 72.38/45.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 72.38/45.59 tff(7610,plain,
% 72.38/45.59 (~v130(constB47, bitIndex0)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7609, 1690, 7432])).
% 72.38/45.59 tff(7611,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7612,plain,
% 72.38/45.59 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7613,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7612])).
% 72.38/45.59 tff(7614,plain,
% 72.38/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7613, 7611])).
% 72.38/45.59 tff(7615,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7616,plain,
% 72.38/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 72.38/45.59 tff(7617,plain,
% 72.38/45.59 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7616, 769, 7527])).
% 72.38/45.59 tff(7618,plain,
% 72.38/45.59 (~v127(constB47, bitIndex0)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7617, 7610])).
% 72.38/45.59 tff(7619,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7620,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7621,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 72.38/45.59 tff(7622,plain,
% 72.38/45.59 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7621, 787, 7479])).
% 72.38/45.59 tff(7623,plain,
% 72.38/45.59 (~v129(constB48, bitIndex0)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7622, 7618])).
% 72.38/45.59 tff(7624,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7625,plain,
% 72.38/45.59 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7626,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7625])).
% 72.38/45.59 tff(7627,plain,
% 72.38/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7626, 7624])).
% 72.38/45.59 tff(7628,plain,
% 72.38/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 72.38/45.59 inference(quant_inst,[status(thm)],[])).
% 72.38/45.59 tff(7629,plain,
% 72.38/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 72.38/45.59 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 72.38/45.59 tff(7630,plain,
% 72.38/45.59 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7629, 802, 7623])).
% 72.38/45.59 tff(7631,plain,
% 72.38/45.59 (~v90(constB48, bitIndex0)),
% 72.38/45.59 inference(unit_resolution,[status(thm)],[7630, 7519])).
% 72.38/45.59 tff(7632,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7633,plain,
% 72.38/45.59 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.38/45.59 inference(rewrite,[status(thm)],[])).
% 72.38/45.59 tff(7634,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 72.38/45.59 inference(monotonicity,[status(thm)],[7633])).
% 72.38/45.59 tff(7635,plain,
% 72.38/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.38/45.59 inference(transitivity,[status(thm)],[7634, 7632])).
% 72.38/45.59 tff(7636,plain,
% 72.38/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7637,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 72.38/45.60 tff(7638,plain,
% 72.38/45.60 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7637, 362, 7554])).
% 72.38/45.60 tff(7639,plain,
% 72.38/45.60 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7638, 7566])).
% 72.38/45.60 tff(7640,plain,
% 72.38/45.60 (~v90(constB49, bitIndex0)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7639, 7631])).
% 72.38/45.60 tff(7641,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7642,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7643,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7642, 7641])).
% 72.38/45.60 tff(7644,plain,
% 72.38/45.60 (v121(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7643, 1734, 7640, 7606, 7575])).
% 72.38/45.60 tff(7645,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB49) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB49) | (~v121(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7646,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB49) | (~v121(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7647,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB49) | (~v121(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 72.38/45.60 tff(7648,plain,
% 72.38/45.60 (v117(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7647, 1775, 7644])).
% 72.38/45.60 tff(7649,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB49) | (~v117(constB49)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB49) | (~v117(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7650,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB49) | (~v117(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7651,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB49) | (~v117(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 72.38/45.60 tff(7652,plain,
% 72.38/45.60 (v116(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7651, 416, 7648])).
% 72.38/45.60 tff(7653,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB49) | (~v116(constB49)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB49) | (~v116(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7654,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB49) | (~v116(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7655,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB49) | (~v116(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 72.38/45.60 tff(7656,plain,
% 72.38/45.60 (v115(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7655, 427, 7652])).
% 72.38/45.60 tff(7657,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB49) | (~v115(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7658,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB49) | (~v115(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7659,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB49) | (~v115(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 72.38/45.60 tff(7660,plain,
% 72.38/45.60 (v114(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7659, 438, 7656])).
% 72.38/45.60 tff(7661,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB49) | (~v114(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB49) | (~v114(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7662,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB49) | (~v114(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7663,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB49) | (~v114(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 72.38/45.60 tff(7664,plain,
% 72.38/45.60 (v113(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7663, 449, 7660])).
% 72.38/45.60 tff(7665,assumption,(v26(constB49)), introduced(assumption)).
% 72.38/45.60 tff(7666,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7667,plain,
% 72.38/45.60 ($false),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7666, 26, 7665])).
% 72.38/45.60 tff(7668,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.60 tff(7669,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7670,plain,
% 72.38/45.60 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7671,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7670])).
% 72.38/45.60 tff(7672,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7671, 7669])).
% 72.38/45.60 tff(7673,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7674,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 72.38/45.60 tff(7675,plain,
% 72.38/45.60 (v112(constB49) | (~v113(constB49))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7674, 463, 7668])).
% 72.38/45.60 tff(7676,plain,
% 72.38/45.60 (v112(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7675, 7664])).
% 72.38/45.60 tff(7677,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7678,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7679,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7678, 7677])).
% 72.38/45.60 tff(7680,plain,
% 72.38/45.60 (v108(constB49)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7679, 475, 7676])).
% 72.38/45.60 tff(7681,plain,
% 72.38/45.60 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7682,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 72.38/45.60 tff(7683,plain,
% 72.38/45.60 (nextState(constB49, constB50)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 72.38/45.60 tff(7684,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7685,plain,
% 72.38/45.60 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7686,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7685])).
% 72.38/45.60 tff(7687,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7686, 7684])).
% 72.38/45.60 tff(7688,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7689,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 72.38/45.60 tff(7690,plain,
% 72.38/45.60 (v110(constB50) | (~v108(constB49))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7689, 492, 7683])).
% 72.38/45.60 tff(7691,plain,
% 72.38/45.60 (v110(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7690, 7680])).
% 72.38/45.60 tff(7692,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7693,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7694,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 72.38/45.60 tff(7695,plain,
% 72.38/45.60 (~v104(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7694, 510, 7683, 7551])).
% 72.38/45.60 tff(7696,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7697,plain,
% 72.38/45.60 (((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7698,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7697])).
% 72.38/45.60 tff(7699,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7698, 7696])).
% 72.38/45.60 tff(7700,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7701,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 72.38/45.60 tff(7702,plain,
% 72.38/45.60 (v104(constB50) | v102(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7701, 524, 7683])).
% 72.38/45.60 tff(7703,plain,
% 72.38/45.60 (v102(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7702, 7695])).
% 72.38/45.60 tff(7704,plain,
% 72.38/45.60 (v1(constB50) <=> v1(constB50)),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7705,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 72.38/45.60 tff(7706,plain,
% 72.38/45.60 (v1(constB50)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 72.38/45.60 tff(7707,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7708,plain,
% 72.38/45.60 (((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))) <=> ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7709,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7708])).
% 72.38/45.60 tff(7710,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7709, 7707])).
% 72.38/45.60 tff(7711,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7712,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 72.38/45.60 tff(7713,plain,
% 72.38/45.60 (v101(constB50) | (~v102(constB50))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7712, 545, 7683, 7706])).
% 72.38/45.60 tff(7714,plain,
% 72.38/45.60 (v101(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7713, 7703])).
% 72.38/45.60 tff(7715,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7716,plain,
% 72.38/45.60 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7717,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7716])).
% 72.38/45.60 tff(7718,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7717, 7715])).
% 72.38/45.60 tff(7719,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7720,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 72.38/45.60 tff(7721,plain,
% 72.38/45.60 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7720, 563, 7683])).
% 72.38/45.60 tff(7722,plain,
% 72.38/45.60 (v100(constB50) | (~v110(constB50))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7721, 7714])).
% 72.38/45.60 tff(7723,plain,
% 72.38/45.60 (v100(constB50)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7722, 7691])).
% 72.38/45.60 tff(7724,plain,
% 72.38/45.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7725,plain,
% 72.38/45.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7726,plain,
% 72.38/45.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 72.38/45.60 tff(7727,plain,
% 72.38/45.60 (~v130(constB49, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7726, 1748, 7644])).
% 72.38/45.60 tff(7728,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7729,plain,
% 72.38/45.60 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7730,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7729])).
% 72.38/45.60 tff(7731,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7730, 7728])).
% 72.38/45.60 tff(7732,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7733,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 72.38/45.60 tff(7734,plain,
% 72.38/45.60 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7733, 1271, 7668])).
% 72.38/45.60 tff(7735,plain,
% 72.38/45.60 (~v127(constB49, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7734, 7727])).
% 72.38/45.60 tff(7736,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7737,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7738,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 72.38/45.60 tff(7739,plain,
% 72.38/45.60 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7738, 1289, 7683])).
% 72.38/45.60 tff(7740,plain,
% 72.38/45.60 (~v129(constB50, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7739, 7735])).
% 72.38/45.60 tff(7741,plain,
% 72.38/45.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7742,plain,
% 72.38/45.60 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7743,plain,
% 72.38/45.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7742])).
% 72.38/45.60 tff(7744,plain,
% 72.38/45.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7743, 7741])).
% 72.38/45.60 tff(7745,plain,
% 72.38/45.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7746,plain,
% 72.38/45.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 72.38/45.60 tff(7747,plain,
% 72.38/45.60 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7746, 1304, 7740])).
% 72.38/45.60 tff(7748,plain,
% 72.38/45.60 (~v90(constB50, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7747, 7723])).
% 72.38/45.60 tff(7749,plain,
% 72.38/45.60 ((~v1(constB51)) <=> (~v1(constB51))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7750,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 72.38/45.60 tff(7751,plain,
% 72.38/45.60 (~v1(constB51)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 72.38/45.60 tff(7752,plain,
% 72.38/45.60 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7753,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 72.38/45.60 tff(7754,plain,
% 72.38/45.60 (nextState(constB50, constB51)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 72.38/45.60 tff(7755,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7756,plain,
% 72.38/45.60 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7757,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7756])).
% 72.38/45.60 tff(7758,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7757, 7755])).
% 72.38/45.60 tff(7759,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7760,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 72.38/45.60 tff(7761,plain,
% 72.38/45.60 (~v101(constB51)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7760, 288, 7754, 7751])).
% 72.38/45.60 tff(7762,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7763,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7764,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 72.38/45.60 tff(7765,plain,
% 72.38/45.60 (v101(constB51) | (~v100(constB51))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7764, 305, 7754])).
% 72.38/45.60 tff(7766,plain,
% 72.38/45.60 (~v100(constB51)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7765, 7761])).
% 72.38/45.60 tff(7767,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7768,plain,
% 72.38/45.60 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7769,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 72.38/45.60 inference(monotonicity,[status(thm)],[7768])).
% 72.38/45.60 tff(7770,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.38/45.60 inference(transitivity,[status(thm)],[7769, 7767])).
% 72.38/45.60 tff(7771,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7772,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 72.38/45.60 tff(7773,plain,
% 72.38/45.60 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7772, 320, 7754])).
% 72.38/45.60 tff(7774,plain,
% 72.38/45.60 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7773, 7766])).
% 72.38/45.60 tff(7775,plain,
% 72.38/45.60 (~v90(constB51, bitIndex2)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7774, 7748])).
% 72.38/45.60 tff(7776,plain,
% 72.38/45.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7777,plain,
% 72.38/45.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7778,plain,
% 72.38/45.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7777, 7776])).
% 72.38/45.60 tff(7779,plain,
% 72.38/45.60 (v130(constB49, bitIndex1)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7778, 1904, 7644])).
% 72.38/45.60 tff(7780,plain,
% 72.38/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7781,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7782,plain,
% 72.38/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7781, 7780])).
% 72.38/45.60 tff(7783,plain,
% 72.38/45.60 ((~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7782, 990, 7668])).
% 72.38/45.60 tff(7784,plain,
% 72.38/45.60 (v127(constB49, bitIndex1)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7783, 7779])).
% 72.38/45.60 tff(7785,plain,
% 72.38/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 72.38/45.60 inference(rewrite,[status(thm)],[])).
% 72.38/45.60 tff(7786,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 72.38/45.60 inference(quant_inst,[status(thm)],[])).
% 72.38/45.60 tff(7787,plain,
% 72.38/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 72.38/45.60 inference(modus_ponens,[status(thm)],[7786, 7785])).
% 72.38/45.60 tff(7788,plain,
% 72.38/45.60 ((~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7787, 1005, 7683])).
% 72.38/45.60 tff(7789,plain,
% 72.38/45.60 (v129(constB50, bitIndex1)),
% 72.38/45.60 inference(unit_resolution,[status(thm)],[7788, 7784])).
% 72.38/45.60 tff(7790,plain,
% 72.38/45.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7791,plain,
% 72.38/45.61 ((v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7792,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7791])).
% 72.38/45.61 tff(7793,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7792, 7790])).
% 72.38/45.61 tff(7794,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7795,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 72.38/45.61 tff(7796,plain,
% 72.38/45.61 (v90(constB50, bitIndex1) | (~v100(constB50))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7795, 1020, 7789])).
% 72.38/45.61 tff(7797,plain,
% 72.38/45.61 (v90(constB50, bitIndex1)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7796, 7723])).
% 72.38/45.61 tff(7798,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7799,plain,
% 72.38/45.61 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7800,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7799])).
% 72.38/45.61 tff(7801,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7800, 7798])).
% 72.38/45.61 tff(7802,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7803,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7802, 7801])).
% 72.38/45.61 tff(7804,plain,
% 72.38/45.61 ((~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7803, 1038, 7754])).
% 72.38/45.61 tff(7805,plain,
% 72.38/45.61 ((~v90(constB50, bitIndex1)) | v90(constB51, bitIndex1)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7804, 7766])).
% 72.38/45.61 tff(7806,plain,
% 72.38/45.61 (v90(constB51, bitIndex1)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7805, 7797])).
% 72.38/45.61 tff(7807,plain,
% 72.38/45.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7808,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7809,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7808, 7807])).
% 72.38/45.61 tff(7810,plain,
% 72.38/45.61 (v130(constB49, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7809, 1945, 7644])).
% 72.38/45.61 tff(7811,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7812,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7813,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 72.38/45.61 tff(7814,plain,
% 72.38/45.61 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7813, 1413, 7668])).
% 72.38/45.61 tff(7815,plain,
% 72.38/45.61 (v127(constB49, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7814, 7810])).
% 72.38/45.61 tff(7816,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7817,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7818,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 72.38/45.61 tff(7819,plain,
% 72.38/45.61 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7818, 1428, 7683])).
% 72.38/45.61 tff(7820,plain,
% 72.38/45.61 (v129(constB50, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7819, 7815])).
% 72.38/45.61 tff(7821,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7822,plain,
% 72.38/45.61 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7823,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7822])).
% 72.38/45.61 tff(7824,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7823, 7821])).
% 72.38/45.61 tff(7825,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7826,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 72.38/45.61 tff(7827,plain,
% 72.38/45.61 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7826, 1443, 7820])).
% 72.38/45.61 tff(7828,plain,
% 72.38/45.61 (v90(constB50, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7827, 7723])).
% 72.38/45.61 tff(7829,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7830,plain,
% 72.38/45.61 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7831,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7830])).
% 72.38/45.61 tff(7832,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7831, 7829])).
% 72.38/45.61 tff(7833,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7834,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 72.38/45.61 tff(7835,plain,
% 72.38/45.61 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7834, 1461, 7754])).
% 72.38/45.61 tff(7836,plain,
% 72.38/45.61 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7835, 7766])).
% 72.38/45.61 tff(7837,plain,
% 72.38/45.61 (v90(constB51, bitIndex0)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7836, 7828])).
% 72.38/45.61 tff(7838,plain,
% 72.38/45.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7839,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7840,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 72.38/45.61 tff(7841,plain,
% 72.38/45.61 (v122(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7840, 1986, 7837, 7806, 7775])).
% 72.38/45.61 tff(7842,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB51) | (~v122(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB51) | (~v122(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7843,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB51) | (~v122(constB51)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7844,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB51) | (~v122(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 72.38/45.61 tff(7845,plain,
% 72.38/45.61 (v116(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7844, 1997, 7841])).
% 72.38/45.61 tff(7846,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7847,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7848,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 72.38/45.61 tff(7849,plain,
% 72.38/45.61 (v115(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7848, 427, 7845])).
% 72.38/45.61 tff(7850,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7851,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7852,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 72.38/45.61 tff(7853,plain,
% 72.38/45.61 (v114(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7852, 438, 7849])).
% 72.38/45.61 tff(7854,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7855,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7856,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 72.38/45.61 tff(7857,plain,
% 72.38/45.61 (v113(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7856, 449, 7853])).
% 72.38/45.61 tff(7858,assumption,(v26(constB51)), introduced(assumption)).
% 72.38/45.61 tff(7859,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7860,plain,
% 72.38/45.61 ($false),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7859, 26, 7858])).
% 72.38/45.61 tff(7861,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.61 tff(7862,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7863,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7864,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 72.38/45.61 tff(7865,plain,
% 72.38/45.61 ((~v113(constB51)) | v112(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7864, 463, 7861])).
% 72.38/45.61 tff(7866,plain,
% 72.38/45.61 (v112(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7865, 7857])).
% 72.38/45.61 tff(7867,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7868,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7869,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 72.38/45.61 tff(7870,plain,
% 72.38/45.61 (v108(constB51)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7869, 475, 7866])).
% 72.38/45.61 tff(7871,plain,
% 72.38/45.61 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7872,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 72.38/45.61 tff(7873,plain,
% 72.38/45.61 (nextState(constB51, constB52)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 72.38/45.61 tff(7874,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7875,plain,
% 72.38/45.61 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7876,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7875])).
% 72.38/45.61 tff(7877,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7876, 7874])).
% 72.38/45.61 tff(7878,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7879,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 72.38/45.61 tff(7880,plain,
% 72.38/45.61 (v110(constB52) | (~v108(constB51))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7879, 492, 7873])).
% 72.38/45.61 tff(7881,plain,
% 72.38/45.61 (v110(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7880, 7870])).
% 72.38/45.61 tff(7882,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7883,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7884,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 72.38/45.61 tff(7885,plain,
% 72.38/45.61 (~v104(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7884, 510, 7873, 7751])).
% 72.38/45.61 tff(7886,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7887,plain,
% 72.38/45.61 (((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7888,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7887])).
% 72.38/45.61 tff(7889,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7888, 7886])).
% 72.38/45.61 tff(7890,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7891,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 72.38/45.61 tff(7892,plain,
% 72.38/45.61 (v104(constB52) | v102(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7891, 524, 7873])).
% 72.38/45.61 tff(7893,plain,
% 72.38/45.61 (v102(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7892, 7885])).
% 72.38/45.61 tff(7894,plain,
% 72.38/45.61 (v1(constB52) <=> v1(constB52)),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7895,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 72.38/45.61 tff(7896,plain,
% 72.38/45.61 (v1(constB52)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 72.38/45.61 tff(7897,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7898,plain,
% 72.38/45.61 (((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))) <=> ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7899,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7898])).
% 72.38/45.61 tff(7900,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7899, 7897])).
% 72.38/45.61 tff(7901,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7902,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 72.38/45.61 tff(7903,plain,
% 72.38/45.61 (v101(constB52) | (~v102(constB52))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7902, 545, 7873, 7896])).
% 72.38/45.61 tff(7904,plain,
% 72.38/45.61 (v101(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7903, 7893])).
% 72.38/45.61 tff(7905,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7906,plain,
% 72.38/45.61 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7907,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7906])).
% 72.38/45.61 tff(7908,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7907, 7905])).
% 72.38/45.61 tff(7909,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7910,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 72.38/45.61 tff(7911,plain,
% 72.38/45.61 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7910, 563, 7873])).
% 72.38/45.61 tff(7912,plain,
% 72.38/45.61 (v100(constB52) | (~v110(constB52))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7911, 7904])).
% 72.38/45.61 tff(7913,plain,
% 72.38/45.61 (v100(constB52)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7912, 7881])).
% 72.38/45.61 tff(7914,plain,
% 72.38/45.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7915,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7916,plain,
% 72.38/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 72.38/45.61 tff(7917,plain,
% 72.38/45.61 (v130(constB51, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7916, 2079, 7841])).
% 72.38/45.61 tff(7918,plain,
% 72.38/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7919,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7920,plain,
% 72.38/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 72.38/45.61 tff(7921,plain,
% 72.38/45.61 ((~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7920, 596, 7861])).
% 72.38/45.61 tff(7922,plain,
% 72.38/45.61 (v127(constB51, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7921, 7917])).
% 72.38/45.61 tff(7923,plain,
% 72.38/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7924,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7925,plain,
% 72.38/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 72.38/45.61 tff(7926,plain,
% 72.38/45.61 ((~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7925, 611, 7873])).
% 72.38/45.61 tff(7927,plain,
% 72.38/45.61 (v129(constB52, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7926, 7922])).
% 72.38/45.61 tff(7928,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7929,plain,
% 72.38/45.61 ((v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7930,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))))),
% 72.38/45.61 inference(monotonicity,[status(thm)],[7929])).
% 72.38/45.61 tff(7931,plain,
% 72.38/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 72.38/45.61 inference(transitivity,[status(thm)],[7930, 7928])).
% 72.38/45.61 tff(7932,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))),
% 72.38/45.61 inference(quant_inst,[status(thm)],[])).
% 72.38/45.61 tff(7933,plain,
% 72.38/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 72.38/45.61 tff(7934,plain,
% 72.38/45.61 (v90(constB52, bitIndex2) | (~v100(constB52))),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7933, 626, 7927])).
% 72.38/45.61 tff(7935,plain,
% 72.38/45.61 (v90(constB52, bitIndex2)),
% 72.38/45.61 inference(unit_resolution,[status(thm)],[7934, 7913])).
% 72.38/45.61 tff(7936,plain,
% 72.38/45.61 ((~v1(constB53)) <=> (~v1(constB53))),
% 72.38/45.61 inference(rewrite,[status(thm)],[])).
% 72.38/45.61 tff(7937,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 72.38/45.61 tff(7938,plain,
% 72.38/45.61 (~v1(constB53)),
% 72.38/45.61 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 72.38/45.61 tff(7939,plain,
% 72.38/45.61 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7940,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 72.38/45.62 tff(7941,plain,
% 72.38/45.62 (nextState(constB52, constB53)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 72.38/45.62 tff(7942,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7943,plain,
% 72.38/45.62 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7944,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[7943])).
% 72.38/45.62 tff(7945,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[7944, 7942])).
% 72.38/45.62 tff(7946,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7947,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 72.38/45.62 tff(7948,plain,
% 72.38/45.62 (~v101(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7947, 288, 7941, 7938])).
% 72.38/45.62 tff(7949,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7950,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7951,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 72.38/45.62 tff(7952,plain,
% 72.38/45.62 (v101(constB53) | (~v100(constB53))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7951, 305, 7941])).
% 72.38/45.62 tff(7953,plain,
% 72.38/45.62 (~v100(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7952, 7948])).
% 72.38/45.62 tff(7954,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7955,plain,
% 72.38/45.62 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7956,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[7955])).
% 72.38/45.62 tff(7957,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 72.38/45.62 inference(transitivity,[status(thm)],[7956, 7954])).
% 72.38/45.62 tff(7958,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7959,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7958, 7957])).
% 72.38/45.62 tff(7960,plain,
% 72.38/45.62 ((~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7959, 662, 7941])).
% 72.38/45.62 tff(7961,plain,
% 72.38/45.62 ((~v90(constB52, bitIndex2)) | v90(constB53, bitIndex2)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7960, 7953])).
% 72.38/45.62 tff(7962,plain,
% 72.38/45.62 (v90(constB53, bitIndex2)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7961, 7935])).
% 72.38/45.62 tff(7963,plain,
% 72.38/45.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7964,plain,
% 72.38/45.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7965,plain,
% 72.38/45.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7964, 7963])).
% 72.38/45.62 tff(7966,plain,
% 72.38/45.62 (~v130(constB51, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7965, 2138, 7841])).
% 72.38/45.62 tff(7967,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7968,plain,
% 72.38/45.62 ((v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1))) <=> ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7969,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[7968])).
% 72.38/45.62 tff(7970,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 72.38/45.62 inference(transitivity,[status(thm)],[7969, 7967])).
% 72.38/45.62 tff(7971,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7972,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7971, 7970])).
% 72.38/45.62 tff(7973,plain,
% 72.38/45.62 ((~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7972, 695, 7861])).
% 72.38/45.62 tff(7974,plain,
% 72.38/45.62 (~v127(constB51, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7973, 7966])).
% 72.38/45.62 tff(7975,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7976,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7977,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 72.38/45.62 tff(7978,plain,
% 72.38/45.62 (v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7977, 713, 7873])).
% 72.38/45.62 tff(7979,plain,
% 72.38/45.62 (~v129(constB52, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7978, 7974])).
% 72.38/45.62 tff(7980,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7981,plain,
% 72.38/45.62 (((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7982,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[7981])).
% 72.38/45.62 tff(7983,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[7982, 7980])).
% 72.38/45.62 tff(7984,plain,
% 72.38/45.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7985,plain,
% 72.38/45.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 72.38/45.62 tff(7986,plain,
% 72.38/45.62 ((~v90(constB52, bitIndex1)) | (~v100(constB52))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7985, 728, 7979])).
% 72.38/45.62 tff(7987,plain,
% 72.38/45.62 (~v90(constB52, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7986, 7913])).
% 72.38/45.62 tff(7988,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7989,plain,
% 72.38/45.62 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7990,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[7989])).
% 72.38/45.62 tff(7991,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[7990, 7988])).
% 72.38/45.62 tff(7992,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7993,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 72.38/45.62 tff(7994,plain,
% 72.38/45.62 (v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7993, 341, 7941])).
% 72.38/45.62 tff(7995,plain,
% 72.38/45.62 (v90(constB52, bitIndex1) | (~v90(constB53, bitIndex1))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7994, 7953])).
% 72.38/45.62 tff(7996,plain,
% 72.38/45.62 (~v90(constB53, bitIndex1)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7995, 7987])).
% 72.38/45.62 tff(7997,plain,
% 72.38/45.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(7998,plain,
% 72.38/45.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(7999,plain,
% 72.38/45.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[7998, 7997])).
% 72.38/45.62 tff(8000,plain,
% 72.38/45.62 (~v130(constB51, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[7999, 2182, 7841])).
% 72.38/45.62 tff(8001,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8002,plain,
% 72.38/45.62 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8003,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[8002])).
% 72.38/45.62 tff(8004,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.38/45.62 inference(transitivity,[status(thm)],[8003, 8001])).
% 72.38/45.62 tff(8005,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8006,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 72.38/45.62 tff(8007,plain,
% 72.38/45.62 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8006, 769, 7861])).
% 72.38/45.62 tff(8008,plain,
% 72.38/45.62 (~v127(constB51, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8007, 8000])).
% 72.38/45.62 tff(8009,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8010,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8011,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 72.38/45.62 tff(8012,plain,
% 72.38/45.62 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8011, 787, 7873])).
% 72.38/45.62 tff(8013,plain,
% 72.38/45.62 (~v129(constB52, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8012, 8008])).
% 72.38/45.62 tff(8014,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8015,plain,
% 72.38/45.62 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8016,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[8015])).
% 72.38/45.62 tff(8017,plain,
% 72.38/45.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[8016, 8014])).
% 72.38/45.62 tff(8018,plain,
% 72.38/45.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8019,plain,
% 72.38/45.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 72.38/45.62 tff(8020,plain,
% 72.38/45.62 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8019, 802, 8013])).
% 72.38/45.62 tff(8021,plain,
% 72.38/45.62 (~v90(constB52, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8020, 7913])).
% 72.38/45.62 tff(8022,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8023,plain,
% 72.38/45.62 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8024,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[8023])).
% 72.38/45.62 tff(8025,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[8024, 8022])).
% 72.38/45.62 tff(8026,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8027,plain,
% 72.38/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 72.38/45.62 tff(8028,plain,
% 72.38/45.62 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8027, 362, 7941])).
% 72.38/45.62 tff(8029,plain,
% 72.38/45.62 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8028, 7953])).
% 72.38/45.62 tff(8030,plain,
% 72.38/45.62 (~v90(constB53, bitIndex0)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8029, 8021])).
% 72.38/45.62 tff(8031,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8032,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8033,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 72.38/45.62 tff(8034,plain,
% 72.38/45.62 (v123(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8033, 829, 8030, 7996, 7962])).
% 72.38/45.62 tff(8035,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB53) | (~v123(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB53) | (~v123(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8036,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB53) | (~v123(constB53)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8037,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB53) | (~v123(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 72.38/45.62 tff(8038,plain,
% 72.38/45.62 (v115(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8037, 840, 8034])).
% 72.38/45.62 tff(8039,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8040,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8041,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8040, 8039])).
% 72.38/45.62 tff(8042,plain,
% 72.38/45.62 (v114(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8041, 438, 8038])).
% 72.38/45.62 tff(8043,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8044,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8045,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 72.38/45.62 tff(8046,plain,
% 72.38/45.62 (v113(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8045, 449, 8042])).
% 72.38/45.62 tff(8047,assumption,(v26(constB53)), introduced(assumption)).
% 72.38/45.62 tff(8048,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8049,plain,
% 72.38/45.62 ($false),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8048, 26, 8047])).
% 72.38/45.62 tff(8050,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.38/45.62 tff(8051,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8052,plain,
% 72.38/45.62 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8053,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 72.38/45.62 inference(monotonicity,[status(thm)],[8052])).
% 72.38/45.62 tff(8054,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.38/45.62 inference(transitivity,[status(thm)],[8053, 8051])).
% 72.38/45.62 tff(8055,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8056,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8055, 8054])).
% 72.38/45.62 tff(8057,plain,
% 72.38/45.62 (v112(constB53) | (~v113(constB53))),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8056, 463, 8050])).
% 72.38/45.62 tff(8058,plain,
% 72.38/45.62 (v112(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8057, 8046])).
% 72.38/45.62 tff(8059,plain,
% 72.38/45.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8060,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 72.38/45.62 inference(quant_inst,[status(thm)],[])).
% 72.38/45.62 tff(8061,plain,
% 72.38/45.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8060, 8059])).
% 72.38/45.62 tff(8062,plain,
% 72.38/45.62 (v108(constB53)),
% 72.38/45.62 inference(unit_resolution,[status(thm)],[8061, 475, 8058])).
% 72.38/45.62 tff(8063,plain,
% 72.38/45.62 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 72.38/45.62 inference(rewrite,[status(thm)],[])).
% 72.38/45.62 tff(8064,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 72.38/45.62 tff(8065,plain,
% 72.38/45.62 (nextState(constB53, constB54)),
% 72.38/45.62 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 72.38/45.62 tff(8066,plain,
% 72.38/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8067,plain,
% 72.47/45.63 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8068,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8067])).
% 72.47/45.63 tff(8069,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8068, 8066])).
% 72.47/45.63 tff(8070,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8071,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 72.47/45.63 tff(8072,plain,
% 72.47/45.63 (v110(constB54) | (~v108(constB53))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8071, 492, 8065])).
% 72.47/45.63 tff(8073,plain,
% 72.47/45.63 (v110(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8072, 8062])).
% 72.47/45.63 tff(8074,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8075,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8076,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 72.47/45.63 tff(8077,plain,
% 72.47/45.63 (~v104(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8076, 510, 8065, 7938])).
% 72.47/45.63 tff(8078,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8079,plain,
% 72.47/45.63 (((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8080,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8079])).
% 72.47/45.63 tff(8081,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8080, 8078])).
% 72.47/45.63 tff(8082,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8083,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 72.47/45.63 tff(8084,plain,
% 72.47/45.63 (v104(constB54) | v102(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8083, 524, 8065])).
% 72.47/45.63 tff(8085,plain,
% 72.47/45.63 (v102(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8084, 8077])).
% 72.47/45.63 tff(8086,plain,
% 72.47/45.63 (v1(constB54) <=> v1(constB54)),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8087,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 72.47/45.63 tff(8088,plain,
% 72.47/45.63 (v1(constB54)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 72.47/45.63 tff(8089,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8090,plain,
% 72.47/45.63 (((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))) <=> ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8091,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8090])).
% 72.47/45.63 tff(8092,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8091, 8089])).
% 72.47/45.63 tff(8093,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8094,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 72.47/45.63 tff(8095,plain,
% 72.47/45.63 (v101(constB54) | (~v102(constB54))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8094, 545, 8065, 8088])).
% 72.47/45.63 tff(8096,plain,
% 72.47/45.63 (v101(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8095, 8085])).
% 72.47/45.63 tff(8097,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8098,plain,
% 72.47/45.63 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8099,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8098])).
% 72.47/45.63 tff(8100,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8099, 8097])).
% 72.47/45.63 tff(8101,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8102,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 72.47/45.63 tff(8103,plain,
% 72.47/45.63 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8102, 563, 8065])).
% 72.47/45.63 tff(8104,plain,
% 72.47/45.63 (v100(constB54) | (~v110(constB54))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8103, 8096])).
% 72.47/45.63 tff(8105,plain,
% 72.47/45.63 (v100(constB54)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8104, 8073])).
% 72.47/45.63 tff(8106,plain,
% 72.47/45.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8107,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8108,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 72.47/45.63 tff(8109,plain,
% 72.47/45.63 (v130(constB53, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8108, 917, 8034])).
% 72.47/45.63 tff(8110,plain,
% 72.47/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8111,plain,
% 72.47/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8112,plain,
% 72.47/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 72.47/45.63 tff(8113,plain,
% 72.47/45.63 ((~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8112, 596, 8050])).
% 72.47/45.63 tff(8114,plain,
% 72.47/45.63 (v127(constB53, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8113, 8109])).
% 72.47/45.63 tff(8115,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8116,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8117,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 72.47/45.63 tff(8118,plain,
% 72.47/45.63 ((~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8117, 611, 8065])).
% 72.47/45.63 tff(8119,plain,
% 72.47/45.63 (v129(constB54, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8118, 8114])).
% 72.47/45.63 tff(8120,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8121,plain,
% 72.47/45.63 ((v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8122,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8121])).
% 72.47/45.63 tff(8123,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8122, 8120])).
% 72.47/45.63 tff(8124,plain,
% 72.47/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8125,plain,
% 72.47/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8124, 8123])).
% 72.47/45.63 tff(8126,plain,
% 72.47/45.63 (v90(constB54, bitIndex2) | (~v100(constB54))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8125, 626, 8119])).
% 72.47/45.63 tff(8127,plain,
% 72.47/45.63 (v90(constB54, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8126, 8105])).
% 72.47/45.63 tff(8128,plain,
% 72.47/45.63 ((~v1(constB55)) <=> (~v1(constB55))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8129,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 72.47/45.63 tff(8130,plain,
% 72.47/45.63 (~v1(constB55)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 72.47/45.63 tff(8131,plain,
% 72.47/45.63 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8132,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 72.47/45.63 tff(8133,plain,
% 72.47/45.63 (nextState(constB54, constB55)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 72.47/45.63 tff(8134,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8135,plain,
% 72.47/45.63 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8136,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8135])).
% 72.47/45.63 tff(8137,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8136, 8134])).
% 72.47/45.63 tff(8138,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8139,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 72.47/45.63 tff(8140,plain,
% 72.47/45.63 (~v101(constB55)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8139, 288, 8133, 8130])).
% 72.47/45.63 tff(8141,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8142,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8143,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 72.47/45.63 tff(8144,plain,
% 72.47/45.63 (v101(constB55) | (~v100(constB55))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8143, 305, 8133])).
% 72.47/45.63 tff(8145,plain,
% 72.47/45.63 (~v100(constB55)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8144, 8140])).
% 72.47/45.63 tff(8146,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8147,plain,
% 72.47/45.63 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8148,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8147])).
% 72.47/45.63 tff(8149,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8148, 8146])).
% 72.47/45.63 tff(8150,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8151,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 72.47/45.63 tff(8152,plain,
% 72.47/45.63 ((~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8151, 662, 8133])).
% 72.47/45.63 tff(8153,plain,
% 72.47/45.63 ((~v90(constB54, bitIndex2)) | v90(constB55, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8152, 8145])).
% 72.47/45.63 tff(8154,plain,
% 72.47/45.63 (v90(constB55, bitIndex2)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8153, 8127])).
% 72.47/45.63 tff(8155,plain,
% 72.47/45.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v121(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v121(constB55)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8156,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v121(constB55)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8157,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v121(constB55))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 72.47/45.63 tff(8158,plain,
% 72.47/45.63 (~v121(constB55)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8157, 1182, 8154])).
% 72.47/45.63 tff(8159,plain,
% 72.47/45.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v122(constB55)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8160,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v122(constB55)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8161,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v122(constB55))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 72.47/45.63 tff(8162,plain,
% 72.47/45.63 (~v122(constB55)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8161, 1193, 8154])).
% 72.47/45.63 tff(8163,plain,
% 72.47/45.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8164,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8165,plain,
% 72.47/45.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 72.47/45.63 tff(8166,plain,
% 72.47/45.63 (v130(constB53, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8165, 976, 8034])).
% 72.47/45.63 tff(8167,plain,
% 72.47/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8168,plain,
% 72.47/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8169,plain,
% 72.47/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 72.47/45.63 tff(8170,plain,
% 72.47/45.63 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8169, 990, 8050])).
% 72.47/45.63 tff(8171,plain,
% 72.47/45.63 (v127(constB53, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8170, 8166])).
% 72.47/45.63 tff(8172,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8173,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8174,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 72.47/45.63 tff(8175,plain,
% 72.47/45.63 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8174, 1005, 8065])).
% 72.47/45.63 tff(8176,plain,
% 72.47/45.63 (v129(constB54, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8175, 8171])).
% 72.47/45.63 tff(8177,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8178,plain,
% 72.47/45.63 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8179,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8178])).
% 72.47/45.63 tff(8180,plain,
% 72.47/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8179, 8177])).
% 72.47/45.63 tff(8181,plain,
% 72.47/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8182,plain,
% 72.47/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 72.47/45.63 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 72.47/45.63 tff(8183,plain,
% 72.47/45.63 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8182, 1020, 8176])).
% 72.47/45.63 tff(8184,plain,
% 72.47/45.63 (v90(constB54, bitIndex1)),
% 72.47/45.63 inference(unit_resolution,[status(thm)],[8183, 8105])).
% 72.47/45.63 tff(8185,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8186,plain,
% 72.47/45.63 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.47/45.63 inference(rewrite,[status(thm)],[])).
% 72.47/45.63 tff(8187,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 72.47/45.63 inference(monotonicity,[status(thm)],[8186])).
% 72.47/45.63 tff(8188,plain,
% 72.47/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.47/45.63 inference(transitivity,[status(thm)],[8187, 8185])).
% 72.47/45.63 tff(8189,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.47/45.63 inference(quant_inst,[status(thm)],[])).
% 72.47/45.63 tff(8190,plain,
% 72.47/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 72.47/45.64 tff(8191,plain,
% 72.47/45.64 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8190, 1038, 8133])).
% 72.47/45.64 tff(8192,plain,
% 72.47/45.64 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8191, 8145])).
% 72.47/45.64 tff(8193,plain,
% 72.47/45.64 (v90(constB55, bitIndex1)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8192, 8184])).
% 72.47/45.64 tff(8194,plain,
% 72.47/45.64 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8195,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8196,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 72.47/45.64 tff(8197,plain,
% 72.47/45.64 (~v119(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8196, 1207, 8193])).
% 72.47/45.64 tff(8198,plain,
% 72.47/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8199,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8200,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 72.47/45.64 tff(8201,plain,
% 72.47/45.64 (~v120(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8200, 1240, 8193])).
% 72.47/45.64 tff(8202,plain,
% 72.47/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v124(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v124(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8203,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v124(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8204,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v124(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 72.47/45.64 tff(8205,plain,
% 72.47/45.64 (~v124(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8204, 1229, 8193])).
% 72.47/45.64 tff(8206,plain,
% 72.47/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v123(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v123(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8207,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v123(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8208,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v123(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8207, 8206])).
% 72.47/45.64 tff(8209,plain,
% 72.47/45.64 (~v123(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8208, 1218, 8193])).
% 72.47/45.64 tff(8210,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8211,plain,
% 72.47/45.64 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0)) <=> (v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8212,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8211])).
% 72.47/45.64 tff(8213,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8212, 8210])).
% 72.47/45.64 tff(8214,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8215,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB55, bitIndex0) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8214, 8213])).
% 72.47/45.64 tff(8216,plain,
% 72.47/45.64 (v130(constB55, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8215, 1396, 8209, 8205, 8201, 8197, 8162, 8158])).
% 72.47/45.64 tff(8217,assumption,(v26(constB55)), introduced(assumption)).
% 72.47/45.64 tff(8218,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8219,plain,
% 72.47/45.64 ($false),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8218, 26, 8217])).
% 72.47/45.64 tff(8220,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 72.47/45.64 tff(8221,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8222,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8223,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8222, 8221])).
% 72.47/45.64 tff(8224,plain,
% 72.47/45.64 ((~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8223, 1413, 8220])).
% 72.47/45.64 tff(8225,plain,
% 72.47/45.64 (v127(constB55, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8224, 8216])).
% 72.47/45.64 tff(8226,plain,
% 72.47/45.64 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8227,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 72.47/45.64 tff(8228,plain,
% 72.47/45.64 (nextState(constB55, constB56)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8227, 8226])).
% 72.47/45.64 tff(8229,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8230,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8231,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 72.47/45.64 tff(8232,plain,
% 72.47/45.64 ((~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8231, 1428, 8228])).
% 72.47/45.64 tff(8233,plain,
% 72.47/45.64 (v129(constB56, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8232, 8225])).
% 72.47/45.64 tff(8234,plain,
% 72.47/45.64 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8235,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8236,plain,
% 72.47/45.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 72.47/45.64 tff(8237,plain,
% 72.47/45.64 (~v130(constB53, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8236, 1057, 8034])).
% 72.47/45.64 tff(8238,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8239,plain,
% 72.47/45.64 ((v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0))) <=> ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8240,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8239])).
% 72.47/45.64 tff(8241,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8240, 8238])).
% 72.47/45.64 tff(8242,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8243,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 72.47/45.64 tff(8244,plain,
% 72.47/45.64 ((~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8243, 769, 8050])).
% 72.47/45.64 tff(8245,plain,
% 72.47/45.64 (~v127(constB53, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8244, 8237])).
% 72.47/45.64 tff(8246,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8247,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8248,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 72.47/45.64 tff(8249,plain,
% 72.47/45.64 (v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8248, 787, 8065])).
% 72.47/45.64 tff(8250,plain,
% 72.47/45.64 (~v129(constB54, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8249, 8245])).
% 72.47/45.64 tff(8251,plain,
% 72.47/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8252,plain,
% 72.47/45.64 (((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8253,plain,
% 72.47/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8252])).
% 72.47/45.64 tff(8254,plain,
% 72.47/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8253, 8251])).
% 72.47/45.64 tff(8255,plain,
% 72.47/45.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8256,plain,
% 72.47/45.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 72.47/45.64 tff(8257,plain,
% 72.47/45.64 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8256, 802, 8250])).
% 72.47/45.64 tff(8258,plain,
% 72.47/45.64 (~v90(constB54, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8257, 8105])).
% 72.47/45.64 tff(8259,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8260,plain,
% 72.47/45.64 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8261,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8260])).
% 72.47/45.64 tff(8262,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8261, 8259])).
% 72.47/45.64 tff(8263,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8264,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 72.47/45.64 tff(8265,plain,
% 72.47/45.64 (v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8264, 362, 8133])).
% 72.47/45.64 tff(8266,plain,
% 72.47/45.64 (v90(constB54, bitIndex0) | (~v90(constB55, bitIndex0))),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8265, 8145])).
% 72.47/45.64 tff(8267,plain,
% 72.47/45.64 (~v90(constB55, bitIndex0)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8266, 8258])).
% 72.47/45.64 tff(8268,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8269,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8270,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 72.47/45.64 tff(8271,plain,
% 72.47/45.64 (v125(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8270, 1101, 8267, 8193, 8154])).
% 72.47/45.64 tff(8272,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB55) | (~v125(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB55) | (~v125(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8273,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB55) | (~v125(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8274,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB55) | (~v125(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 72.47/45.64 tff(8275,plain,
% 72.47/45.64 (v113(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8274, 1112, 8271])).
% 72.47/45.64 tff(8276,assumption,(~v108(constB55)), introduced(assumption)).
% 72.47/45.64 tff(8277,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8278,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8279,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 72.47/45.64 tff(8280,plain,
% 72.47/45.64 (~v112(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8279, 475, 8276])).
% 72.47/45.64 tff(8281,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8282,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8283,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 72.47/45.64 tff(8284,plain,
% 72.47/45.64 (~v26(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8283, 1807, 8276])).
% 72.47/45.64 tff(8285,assumption,(v113(constB55)), introduced(assumption)).
% 72.47/45.64 tff(8286,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8287,plain,
% 72.47/45.64 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8288,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8287])).
% 72.47/45.64 tff(8289,plain,
% 72.47/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8288, 8286])).
% 72.47/45.64 tff(8290,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8291,plain,
% 72.47/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 72.47/45.64 tff(8292,plain,
% 72.47/45.64 (v26(constB55) | v112(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8291, 463, 8285])).
% 72.47/45.64 tff(8293,plain,
% 72.47/45.64 ($false),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8292, 8284, 8280])).
% 72.47/45.64 tff(8294,plain,(v108(constB55) | (~v113(constB55))), inference(lemma,lemma(discharge,[]))).
% 72.47/45.64 tff(8295,plain,
% 72.47/45.64 (v108(constB55)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8294, 8275])).
% 72.47/45.64 tff(8296,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8297,plain,
% 72.47/45.64 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8298,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8297])).
% 72.47/45.64 tff(8299,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8298, 8296])).
% 72.47/45.64 tff(8300,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8301,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 72.47/45.64 tff(8302,plain,
% 72.47/45.64 (v110(constB56) | (~v108(constB55))),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8301, 492, 8228])).
% 72.47/45.64 tff(8303,plain,
% 72.47/45.64 (v110(constB56)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8302, 8295])).
% 72.47/45.64 tff(8304,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8305,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8306,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 72.47/45.64 tff(8307,plain,
% 72.47/45.64 (~v104(constB56)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8306, 510, 8228, 8130])).
% 72.47/45.64 tff(8308,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8309,plain,
% 72.47/45.64 (((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8310,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8309])).
% 72.47/45.64 tff(8311,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8310, 8308])).
% 72.47/45.64 tff(8312,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 72.47/45.64 inference(quant_inst,[status(thm)],[])).
% 72.47/45.64 tff(8313,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 72.47/45.64 tff(8314,plain,
% 72.47/45.64 (v104(constB56) | v102(constB56)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8313, 524, 8228])).
% 72.47/45.64 tff(8315,plain,
% 72.47/45.64 (v102(constB56)),
% 72.47/45.64 inference(unit_resolution,[status(thm)],[8314, 8307])).
% 72.47/45.64 tff(8316,plain,
% 72.47/45.64 (v1(constB56) <=> v1(constB56)),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8317,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 72.47/45.64 tff(8318,plain,
% 72.47/45.64 (v1(constB56)),
% 72.47/45.64 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 72.47/45.64 tff(8319,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8320,plain,
% 72.47/45.64 (((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))) <=> ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 72.47/45.64 inference(rewrite,[status(thm)],[])).
% 72.47/45.64 tff(8321,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))))),
% 72.47/45.64 inference(monotonicity,[status(thm)],[8320])).
% 72.47/45.64 tff(8322,plain,
% 72.47/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 72.47/45.64 inference(transitivity,[status(thm)],[8321, 8319])).
% 72.47/45.64 tff(8323,plain,
% 72.47/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8324,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8323, 8322])).
% 72.47/45.65 tff(8325,plain,
% 72.47/45.65 (v101(constB56) | (~v102(constB56))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8324, 545, 8228, 8318])).
% 72.47/45.65 tff(8326,plain,
% 72.47/45.65 (v101(constB56)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8325, 8315])).
% 72.47/45.65 tff(8327,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8328,plain,
% 72.47/45.65 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8329,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8328])).
% 72.47/45.65 tff(8330,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8329, 8327])).
% 72.47/45.65 tff(8331,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8332,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 72.47/45.65 tff(8333,plain,
% 72.47/45.65 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8332, 563, 8228])).
% 72.47/45.65 tff(8334,plain,
% 72.47/45.65 (v100(constB56) | (~v110(constB56))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8333, 8326])).
% 72.47/45.65 tff(8335,plain,
% 72.47/45.65 (v100(constB56)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8334, 8303])).
% 72.47/45.65 tff(8336,plain,
% 72.47/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8337,plain,
% 72.47/45.65 ((v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8338,plain,
% 72.47/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8337])).
% 72.47/45.65 tff(8339,plain,
% 72.47/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8338, 8336])).
% 72.47/45.65 tff(8340,plain,
% 72.47/45.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8341,plain,
% 72.47/45.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 72.47/45.65 tff(8342,plain,
% 72.47/45.65 (v90(constB56, bitIndex0)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8341, 1443, 8335, 8233])).
% 72.47/45.65 tff(8343,plain,
% 72.47/45.65 ((~v1(constB57)) <=> (~v1(constB57))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8344,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 72.47/45.65 tff(8345,plain,
% 72.47/45.65 (~v1(constB57)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 72.47/45.65 tff(8346,plain,
% 72.47/45.65 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8347,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 72.47/45.65 tff(8348,plain,
% 72.47/45.65 (nextState(constB56, constB57)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 72.47/45.65 tff(8349,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8350,plain,
% 72.47/45.65 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8351,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8350])).
% 72.47/45.65 tff(8352,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8351, 8349])).
% 72.47/45.65 tff(8353,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8354,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 72.47/45.65 tff(8355,plain,
% 72.47/45.65 (~v101(constB57)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8354, 288, 8348, 8345])).
% 72.47/45.65 tff(8356,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8357,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8358,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 72.47/45.65 tff(8359,plain,
% 72.47/45.65 (v101(constB57) | (~v100(constB57))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8358, 305, 8348])).
% 72.47/45.65 tff(8360,plain,
% 72.47/45.65 (~v100(constB57)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8359, 8355])).
% 72.47/45.65 tff(8361,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8362,plain,
% 72.47/45.65 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8363,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8362])).
% 72.47/45.65 tff(8364,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8363, 8361])).
% 72.47/45.65 tff(8365,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8366,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 72.47/45.65 tff(8367,plain,
% 72.47/45.65 ((~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8366, 1461, 8348])).
% 72.47/45.65 tff(8368,plain,
% 72.47/45.65 ((~v90(constB56, bitIndex0)) | v90(constB57, bitIndex0)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8367, 8360])).
% 72.47/45.65 tff(8369,plain,
% 72.47/45.65 (v90(constB57, bitIndex0)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8368, 8342])).
% 72.47/45.65 tff(8370,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8371,plain,
% 72.47/45.65 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1))) <=> ((~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8372,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8371])).
% 72.47/45.65 tff(8373,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8372, 8370])).
% 72.47/45.65 tff(8374,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8375,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB55, bitIndex1)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8374, 8373])).
% 72.47/45.65 tff(8376,plain,
% 72.47/45.65 (~v130(constB55, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8375, 1349, 8209, 8205, 8201, 8197, 8162, 8158])).
% 72.47/45.65 tff(8377,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8378,plain,
% 72.47/45.65 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8379,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8378])).
% 72.47/45.65 tff(8380,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8379, 8377])).
% 72.47/45.65 tff(8381,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8382,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8381, 8380])).
% 72.47/45.65 tff(8383,plain,
% 72.47/45.65 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8382, 695, 8220])).
% 72.47/45.65 tff(8384,plain,
% 72.47/45.65 (~v127(constB55, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8383, 8376])).
% 72.47/45.65 tff(8385,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8386,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8387,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 72.47/45.65 tff(8388,plain,
% 72.47/45.65 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8387, 713, 8228])).
% 72.47/45.65 tff(8389,plain,
% 72.47/45.65 (~v129(constB56, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8388, 8384])).
% 72.47/45.65 tff(8390,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8391,plain,
% 72.47/45.65 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8392,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8391])).
% 72.47/45.65 tff(8393,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8392, 8390])).
% 72.47/45.65 tff(8394,plain,
% 72.47/45.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8395,plain,
% 72.47/45.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 72.47/45.65 tff(8396,plain,
% 72.47/45.65 (~v90(constB56, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8395, 728, 8335, 8389])).
% 72.47/45.65 tff(8397,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8398,plain,
% 72.47/45.65 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8399,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8398])).
% 72.47/45.65 tff(8400,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8399, 8397])).
% 72.47/45.65 tff(8401,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8402,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 72.47/45.65 tff(8403,plain,
% 72.47/45.65 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8402, 341, 8348])).
% 72.47/45.65 tff(8404,plain,
% 72.47/45.65 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8403, 8360])).
% 72.47/45.65 tff(8405,plain,
% 72.47/45.65 (~v90(constB57, bitIndex1)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8404, 8396])).
% 72.47/45.65 tff(8406,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8407,plain,
% 72.47/45.65 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2))) <=> ((~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8408,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8407])).
% 72.47/45.65 tff(8409,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8408, 8406])).
% 72.47/45.65 tff(8410,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8411,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB55, bitIndex2)) | v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 72.47/45.65 tff(8412,plain,
% 72.47/45.65 (~v130(constB55, bitIndex2)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8411, 1254, 8209, 8205, 8201, 8197, 8162, 8158])).
% 72.47/45.65 tff(8413,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8414,plain,
% 72.47/45.65 ((v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2))) <=> ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8415,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8414])).
% 72.47/45.65 tff(8416,plain,
% 72.47/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8415, 8413])).
% 72.47/45.65 tff(8417,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8418,plain,
% 72.47/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 72.47/45.65 tff(8419,plain,
% 72.47/45.65 ((~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8418, 1271, 8220])).
% 72.47/45.65 tff(8420,plain,
% 72.47/45.65 (~v127(constB55, bitIndex2)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8419, 8412])).
% 72.47/45.65 tff(8421,assumption,(~v127(constB55, bitIndex2)), introduced(assumption)).
% 72.47/45.65 tff(8422,plain,
% 72.47/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8423,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 72.47/45.65 inference(quant_inst,[status(thm)],[])).
% 72.47/45.65 tff(8424,plain,
% 72.47/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 72.47/45.65 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 72.47/45.65 tff(8425,plain,
% 72.47/45.65 (v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8424, 1289, 8228])).
% 72.47/45.65 tff(8426,plain,
% 72.47/45.65 (~v129(constB56, bitIndex2)),
% 72.47/45.65 inference(unit_resolution,[status(thm)],[8425, 8421])).
% 72.47/45.65 tff(8427,assumption,(v90(constB56, bitIndex2)), introduced(assumption)).
% 72.47/45.65 tff(8428,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8429,plain,
% 72.47/45.65 (((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 72.47/45.65 inference(rewrite,[status(thm)],[])).
% 72.47/45.65 tff(8430,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))))),
% 72.47/45.65 inference(monotonicity,[status(thm)],[8429])).
% 72.47/45.65 tff(8431,plain,
% 72.47/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 72.47/45.65 inference(transitivity,[status(thm)],[8430, 8428])).
% 72.47/45.65 tff(8432,plain,
% 72.47/45.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8433,plain,
% 72.47/45.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8432, 8431])).
% 72.47/45.66 tff(8434,plain,
% 72.47/45.66 (v129(constB56, bitIndex2) | (~v100(constB56))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8433, 1304, 8427])).
% 72.47/45.66 tff(8435,plain,
% 72.47/45.66 (~v100(constB56)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8434, 8426])).
% 72.47/45.66 tff(8436,plain,
% 72.47/45.66 (~v110(constB56)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8334, 8435])).
% 72.47/45.66 tff(8437,plain,
% 72.47/45.66 (~v108(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8302, 8436])).
% 72.47/45.66 tff(8438,plain,
% 72.47/45.66 (~v113(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8294, 8437])).
% 72.47/45.66 tff(8439,plain,
% 72.47/45.66 (~v125(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8274, 1112, 8438])).
% 72.47/45.66 tff(8440,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8441,plain,
% 72.47/45.66 (((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2))) <=> (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8442,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8441])).
% 72.47/45.66 tff(8443,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8442, 8440])).
% 72.47/45.66 tff(8444,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8445,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8444, 8443])).
% 72.47/45.66 tff(8446,plain,
% 72.47/45.66 (v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8445, 320, 8228])).
% 72.47/45.66 tff(8447,plain,
% 72.47/45.66 (v90(constB55, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8446, 8435, 8427])).
% 72.47/45.66 tff(8448,plain,
% 72.47/45.66 (~v26(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8283, 1807, 8437])).
% 72.47/45.66 tff(8449,plain,
% 72.47/45.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8450,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8451,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 72.47/45.66 tff(8452,plain,
% 72.47/45.66 (v26(constB55) | (~v130(constB55, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8451, 596, 8421])).
% 72.47/45.66 tff(8453,plain,
% 72.47/45.66 (~v130(constB55, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8452, 8448])).
% 72.47/45.66 tff(8454,plain,
% 72.47/45.66 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB55)) | v130(constB55, bitIndex2))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8455,plain,
% 72.47/45.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB55)) | v130(constB55, bitIndex2))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8456,plain,
% 72.47/45.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB55)) | v130(constB55, bitIndex2)),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 72.47/45.66 tff(8457,plain,
% 72.47/45.66 (~v123(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8456, 917, 8453])).
% 72.47/45.66 tff(8458,assumption,(~v123(constB55)), introduced(assumption)).
% 72.47/45.66 tff(8459,assumption,(~v90(constB55, bitIndex0)), introduced(assumption)).
% 72.47/45.66 tff(8460,assumption,(~v125(constB55)), introduced(assumption)).
% 72.47/45.66 tff(8461,assumption,(v90(constB55, bitIndex2)), introduced(assumption)).
% 72.47/45.66 tff(8462,plain,
% 72.47/45.66 (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v125(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8270, 1101, 8461])).
% 72.47/45.66 tff(8463,plain,
% 72.47/45.66 (~v90(constB55, bitIndex1)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8462, 8459, 8460])).
% 72.47/45.66 tff(8464,plain,
% 72.47/45.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8465,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8466,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55)),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 72.47/45.66 tff(8467,plain,
% 72.47/45.66 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v123(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8466, 829, 8461])).
% 72.47/45.66 tff(8468,plain,
% 72.47/45.66 ($false),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8467, 8463, 8459, 8458])).
% 72.47/45.66 tff(8469,plain,(v90(constB55, bitIndex0) | v123(constB55) | (~v90(constB55, bitIndex2)) | v125(constB55)), inference(lemma,lemma(discharge,[]))).
% 72.47/45.66 tff(8470,plain,
% 72.47/45.66 (v90(constB55, bitIndex0)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8469, 8457, 8447, 8439])).
% 72.47/45.66 tff(8471,plain,
% 72.47/45.66 (v90(constB54, bitIndex0)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8266, 8470])).
% 72.47/45.66 tff(8472,plain,
% 72.47/45.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8473,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8474,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8473, 8472])).
% 72.47/45.66 tff(8475,plain,
% 72.47/45.66 (~v114(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8474, 449, 8438])).
% 72.47/45.66 tff(8476,plain,
% 72.47/45.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB55) | (~v124(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB55) | (~v124(constB55)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8477,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB55) | (~v124(constB55)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8478,plain,
% 72.47/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB55) | (~v124(constB55))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 72.47/45.66 tff(8479,plain,
% 72.47/45.66 (~v124(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8478, 3631, 8475])).
% 72.47/45.66 tff(8480,plain,
% 72.47/45.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8481,plain,
% 72.47/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8482,plain,
% 72.47/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55)),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8481, 8480])).
% 72.47/45.66 tff(8483,plain,
% 72.47/45.66 ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v124(constB55)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8482, 3620, 8447])).
% 72.47/45.66 tff(8484,plain,
% 72.47/45.66 (v90(constB55, bitIndex1)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8483, 8470, 8479])).
% 72.47/45.66 tff(8485,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8486,plain,
% 72.47/45.66 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8487,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8486])).
% 72.47/45.66 tff(8488,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8487, 8485])).
% 72.47/45.66 tff(8489,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8490,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 72.47/45.66 tff(8491,plain,
% 72.47/45.66 (v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8490, 341, 8133])).
% 72.47/45.66 tff(8492,plain,
% 72.47/45.66 (v90(constB54, bitIndex1) | (~v90(constB55, bitIndex1))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8491, 8145])).
% 72.47/45.66 tff(8493,plain,
% 72.47/45.66 (v90(constB54, bitIndex1)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8492, 8484])).
% 72.47/45.66 tff(8494,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8495,plain,
% 72.47/45.66 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8496,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8495])).
% 72.47/45.66 tff(8497,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8496, 8494])).
% 72.47/45.66 tff(8498,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8499,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 72.47/45.66 tff(8500,plain,
% 72.47/45.66 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8499, 320, 8133])).
% 72.47/45.66 tff(8501,plain,
% 72.47/45.66 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8500, 8145])).
% 72.47/45.66 tff(8502,plain,
% 72.47/45.66 (v90(constB54, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8501, 8447])).
% 72.47/45.66 tff(8503,assumption,(v90(constB54, bitIndex0)), introduced(assumption)).
% 72.47/45.66 tff(8504,assumption,(~v100(constB54)), introduced(assumption)).
% 72.47/45.66 tff(8505,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8506,plain,
% 72.47/45.66 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0))) <=> (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8507,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8506])).
% 72.47/45.66 tff(8508,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8507, 8505])).
% 72.47/45.66 tff(8509,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8510,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 72.47/45.66 tff(8511,plain,
% 72.47/45.66 (v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8510, 362, 8065])).
% 72.47/45.66 tff(8512,plain,
% 72.47/45.66 (v90(constB53, bitIndex0)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8511, 8504, 8503])).
% 72.47/45.66 tff(8513,plain,
% 72.47/45.66 (v90(constB52, bitIndex0)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8029, 8512])).
% 72.47/45.66 tff(8514,assumption,(v90(constB54, bitIndex1)), introduced(assumption)).
% 72.47/45.66 tff(8515,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8516,plain,
% 72.47/45.66 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1))) <=> (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8517,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8516])).
% 72.47/45.66 tff(8518,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8517, 8515])).
% 72.47/45.66 tff(8519,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8520,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 72.47/45.66 tff(8521,plain,
% 72.47/45.66 (v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8520, 341, 8065])).
% 72.47/45.66 tff(8522,plain,
% 72.47/45.66 (v90(constB53, bitIndex1)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8521, 8504, 8514])).
% 72.47/45.66 tff(8523,plain,
% 72.47/45.66 (v90(constB52, bitIndex1)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[7995, 8522])).
% 72.47/45.66 tff(8524,assumption,(v90(constB54, bitIndex2)), introduced(assumption)).
% 72.47/45.66 tff(8525,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8526,plain,
% 72.47/45.66 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2))) <=> (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8527,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8526])).
% 72.47/45.66 tff(8528,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8527, 8525])).
% 72.47/45.66 tff(8529,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8530,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 72.47/45.66 tff(8531,plain,
% 72.47/45.66 (v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8530, 320, 8065])).
% 72.47/45.66 tff(8532,plain,
% 72.47/45.66 (v90(constB53, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8531, 8504, 8524])).
% 72.47/45.66 tff(8533,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8534,plain,
% 72.47/45.66 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8535,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8534])).
% 72.47/45.66 tff(8536,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8535, 8533])).
% 72.47/45.66 tff(8537,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8538,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 72.47/45.66 tff(8539,plain,
% 72.47/45.66 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8538, 320, 7941])).
% 72.47/45.66 tff(8540,plain,
% 72.47/45.66 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8539, 7953])).
% 72.47/45.66 tff(8541,plain,
% 72.47/45.66 (v90(constB52, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8540, 8532])).
% 72.47/45.66 tff(8542,assumption,(v100(constB52)), introduced(assumption)).
% 72.47/45.66 tff(8543,assumption,(v90(constB52, bitIndex2)), introduced(assumption)).
% 72.47/45.66 tff(8544,plain,
% 72.47/45.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8545,plain,
% 72.47/45.66 (((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8546,plain,
% 72.47/45.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))))),
% 72.47/45.66 inference(monotonicity,[status(thm)],[8545])).
% 72.47/45.66 tff(8547,plain,
% 72.47/45.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.47/45.66 inference(transitivity,[status(thm)],[8546, 8544])).
% 72.47/45.66 tff(8548,plain,
% 72.47/45.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8549,plain,
% 72.47/45.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 72.47/45.66 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 72.47/45.66 tff(8550,plain,
% 72.47/45.66 (v129(constB52, bitIndex2) | (~v100(constB52))),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8549, 1304, 8543])).
% 72.47/45.66 tff(8551,plain,
% 72.47/45.66 (v129(constB52, bitIndex2)),
% 72.47/45.66 inference(unit_resolution,[status(thm)],[8550, 8542])).
% 72.47/45.66 tff(8552,plain,
% 72.47/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 72.47/45.66 inference(rewrite,[status(thm)],[])).
% 72.47/45.66 tff(8553,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 72.47/45.66 inference(quant_inst,[status(thm)],[])).
% 72.47/45.66 tff(8554,plain,
% 72.47/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 72.47/45.67 tff(8555,plain,
% 72.47/45.67 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8554, 1289, 7873])).
% 72.47/45.67 tff(8556,plain,
% 72.47/45.67 (v127(constB51, bitIndex2)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8555, 8551])).
% 72.47/45.67 tff(8557,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8558,plain,
% 72.47/45.67 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8559,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8558])).
% 72.47/45.67 tff(8560,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8559, 8557])).
% 72.47/45.67 tff(8561,plain,
% 72.47/45.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8562,plain,
% 72.47/45.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8561, 8560])).
% 72.47/45.67 tff(8563,plain,
% 72.47/45.67 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8562, 1271, 7861])).
% 72.47/45.67 tff(8564,plain,
% 72.47/45.67 (v130(constB51, bitIndex2)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8563, 8556])).
% 72.47/45.67 tff(8565,plain,
% 72.47/45.67 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8566,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8567,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB51)) | (~v130(constB51, bitIndex2))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 72.47/45.67 tff(8568,plain,
% 72.47/45.67 (~v124(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8567, 3733, 8564])).
% 72.47/45.67 tff(8569,plain,
% 72.47/45.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8570,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8571,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB51)) | (~v130(constB51, bitIndex2))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 72.47/45.67 tff(8572,plain,
% 72.47/45.67 (~v121(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8571, 1748, 8564])).
% 72.47/45.67 tff(8573,assumption,(v90(constB52, bitIndex0)), introduced(assumption)).
% 72.47/45.67 tff(8574,plain,
% 72.47/45.67 (v129(constB52, bitIndex0) | (~v100(constB52))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8019, 802, 8573])).
% 72.47/45.67 tff(8575,plain,
% 72.47/45.67 (v129(constB52, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8574, 8542])).
% 72.47/45.67 tff(8576,plain,
% 72.47/45.67 (v127(constB51, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8012, 8575])).
% 72.47/45.67 tff(8577,plain,
% 72.47/45.67 (v130(constB51, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8007, 8576])).
% 72.47/45.67 tff(8578,plain,
% 72.47/45.67 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8579,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8580,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 72.47/45.67 tff(8581,plain,
% 72.47/45.67 (~v120(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8580, 1690, 8577])).
% 72.47/45.67 tff(8582,plain,
% 72.47/45.67 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8583,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8584,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v130(constB51, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 72.47/45.67 tff(8585,plain,
% 72.47/45.67 (~v119(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8584, 755, 8577])).
% 72.47/45.67 tff(8586,plain,
% 72.47/45.67 (~v122(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7999, 2182, 8577])).
% 72.47/45.67 tff(8587,plain,
% 72.47/45.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8588,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8589,plain,
% 72.47/45.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v130(constB51, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8588, 8587])).
% 72.47/45.67 tff(8590,plain,
% 72.47/45.67 (~v123(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8589, 1057, 8577])).
% 72.47/45.67 tff(8591,assumption,(v90(constB52, bitIndex1)), introduced(assumption)).
% 72.47/45.67 tff(8592,plain,
% 72.47/45.67 (v129(constB52, bitIndex1) | (~v100(constB52))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7985, 728, 8591])).
% 72.47/45.67 tff(8593,plain,
% 72.47/45.67 (v129(constB52, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8592, 8542])).
% 72.47/45.67 tff(8594,plain,
% 72.47/45.67 (v127(constB51, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7978, 8593])).
% 72.47/45.67 tff(8595,plain,
% 72.47/45.67 (v130(constB51, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7973, 8594])).
% 72.47/45.67 tff(8596,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8597,plain,
% 72.47/45.67 ((v120(constB51) | v119(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1))) <=> (v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8598,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB51) | v119(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8597])).
% 72.47/45.67 tff(8599,plain,
% 72.47/45.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB51) | v119(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8598, 8596])).
% 72.47/45.67 tff(8600,plain,
% 72.47/45.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB51) | v119(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8601,plain,
% 72.47/45.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB51) | v123(constB51) | v122(constB51) | v121(constB51) | v120(constB51) | v119(constB51) | (~v130(constB51, bitIndex1))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 72.47/45.67 tff(8602,plain,
% 72.47/45.67 (v124(constB51) | v121(constB51)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8601, 1349, 8595, 8590, 8586, 8585, 8581])).
% 72.47/45.67 tff(8603,plain,
% 72.47/45.67 ($false),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8602, 8572, 8568])).
% 72.47/45.67 tff(8604,plain,((~v100(constB52)) | (~v90(constB52, bitIndex2)) | (~v90(constB52, bitIndex1)) | (~v90(constB52, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.47/45.67 tff(8605,plain,
% 72.47/45.67 (~v100(constB52)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8604, 8541, 8523, 8513])).
% 72.47/45.67 tff(8606,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8607,plain,
% 72.47/45.67 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0))) <=> (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8608,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8607])).
% 72.47/45.67 tff(8609,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8608, 8606])).
% 72.47/45.67 tff(8610,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8611,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 72.47/45.67 tff(8612,plain,
% 72.47/45.67 (v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8611, 362, 7873])).
% 72.47/45.67 tff(8613,plain,
% 72.47/45.67 (v90(constB51, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8612, 8605, 8513])).
% 72.47/45.67 tff(8614,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8615,plain,
% 72.47/45.67 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8616,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8615])).
% 72.47/45.67 tff(8617,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8616, 8614])).
% 72.47/45.67 tff(8618,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8619,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 72.47/45.67 tff(8620,plain,
% 72.47/45.67 (v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8619, 362, 7754])).
% 72.47/45.67 tff(8621,plain,
% 72.47/45.67 (v90(constB50, bitIndex0) | (~v90(constB51, bitIndex0))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8620, 7766])).
% 72.47/45.67 tff(8622,plain,
% 72.47/45.67 (v90(constB50, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8621, 8613])).
% 72.47/45.67 tff(8623,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8624,plain,
% 72.47/45.67 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1))) <=> (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8625,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8624])).
% 72.47/45.67 tff(8626,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8625, 8623])).
% 72.47/45.67 tff(8627,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8628,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 72.47/45.67 tff(8629,plain,
% 72.47/45.67 (v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8628, 341, 7873])).
% 72.47/45.67 tff(8630,plain,
% 72.47/45.67 (v90(constB51, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8629, 8605, 8523])).
% 72.47/45.67 tff(8631,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8632,plain,
% 72.47/45.67 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8633,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8632])).
% 72.47/45.67 tff(8634,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8633, 8631])).
% 72.47/45.67 tff(8635,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8636,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 72.47/45.67 tff(8637,plain,
% 72.47/45.67 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8636, 341, 7754])).
% 72.47/45.67 tff(8638,plain,
% 72.47/45.67 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8637, 7766])).
% 72.47/45.67 tff(8639,plain,
% 72.47/45.67 (v90(constB50, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8638, 8630])).
% 72.47/45.67 tff(8640,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8641,plain,
% 72.47/45.67 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2))) <=> (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8642,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8641])).
% 72.47/45.67 tff(8643,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8642, 8640])).
% 72.47/45.67 tff(8644,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8645,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 72.47/45.67 tff(8646,plain,
% 72.47/45.67 (v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8645, 320, 7873])).
% 72.47/45.67 tff(8647,plain,
% 72.47/45.67 (v90(constB51, bitIndex2)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8646, 8605, 8541])).
% 72.47/45.67 tff(8648,plain,
% 72.47/45.67 (v90(constB50, bitIndex2)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7774, 8647])).
% 72.47/45.67 tff(8649,assumption,(v90(constB50, bitIndex0)), introduced(assumption)).
% 72.47/45.67 tff(8650,assumption,(~v100(constB50)), introduced(assumption)).
% 72.47/45.67 tff(8651,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8652,plain,
% 72.47/45.67 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0))) <=> (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8653,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8652])).
% 72.47/45.67 tff(8654,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8653, 8651])).
% 72.47/45.67 tff(8655,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8656,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 72.47/45.67 tff(8657,plain,
% 72.47/45.67 (v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8656, 362, 7683])).
% 72.47/45.67 tff(8658,plain,
% 72.47/45.67 (v90(constB49, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8657, 8650, 8649])).
% 72.47/45.67 tff(8659,plain,
% 72.47/45.67 (v90(constB48, bitIndex0)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[7639, 8658])).
% 72.47/45.67 tff(8660,assumption,(v90(constB50, bitIndex1)), introduced(assumption)).
% 72.47/45.67 tff(8661,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8662,plain,
% 72.47/45.67 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1))) <=> (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 72.47/45.67 inference(rewrite,[status(thm)],[])).
% 72.47/45.67 tff(8663,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1))))),
% 72.47/45.67 inference(monotonicity,[status(thm)],[8662])).
% 72.47/45.67 tff(8664,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 72.47/45.67 inference(transitivity,[status(thm)],[8663, 8661])).
% 72.47/45.67 tff(8665,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 72.47/45.67 inference(quant_inst,[status(thm)],[])).
% 72.47/45.67 tff(8666,plain,
% 72.47/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1))),
% 72.47/45.67 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 72.47/45.67 tff(8667,plain,
% 72.47/45.67 (v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1))),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8666, 341, 7683])).
% 72.47/45.67 tff(8668,plain,
% 72.47/45.67 (v90(constB49, bitIndex1)),
% 72.47/45.67 inference(unit_resolution,[status(thm)],[8667, 8650, 8660])).
% 72.47/45.67 tff(8669,plain,
% 72.47/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8670,plain,
% 72.47/45.68 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8671,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8670])).
% 72.47/45.68 tff(8672,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8671, 8669])).
% 72.47/45.68 tff(8673,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8674,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 72.47/45.68 tff(8675,plain,
% 72.47/45.68 (v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8674, 341, 7554])).
% 72.47/45.68 tff(8676,plain,
% 72.47/45.68 (v90(constB48, bitIndex1) | (~v90(constB49, bitIndex1))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8675, 7566])).
% 72.47/45.68 tff(8677,plain,
% 72.47/45.68 (v90(constB48, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8676, 8668])).
% 72.47/45.68 tff(8678,assumption,(v90(constB50, bitIndex2)), introduced(assumption)).
% 72.47/45.68 tff(8679,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8680,plain,
% 72.47/45.68 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2))) <=> (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8681,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8680])).
% 72.47/45.68 tff(8682,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8681, 8679])).
% 72.47/45.68 tff(8683,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8684,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 72.47/45.68 tff(8685,plain,
% 72.47/45.68 (v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8684, 320, 7683])).
% 72.47/45.68 tff(8686,plain,
% 72.47/45.68 (v90(constB49, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8685, 8650, 8678])).
% 72.47/45.68 tff(8687,plain,
% 72.47/45.68 (v90(constB48, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7574, 8686])).
% 72.47/45.68 tff(8688,assumption,(v100(constB48)), introduced(assumption)).
% 72.47/45.68 tff(8689,assumption,(v90(constB48, bitIndex2)), introduced(assumption)).
% 72.47/45.68 tff(8690,plain,
% 72.47/45.68 (v129(constB48, bitIndex2) | (~v100(constB48))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7546, 1304, 8689])).
% 72.47/45.68 tff(8691,plain,
% 72.47/45.68 (v129(constB48, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8690, 8688])).
% 72.47/45.68 tff(8692,plain,
% 72.47/45.68 (v127(constB47, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7539, 8691])).
% 72.47/45.68 tff(8693,plain,
% 72.47/45.68 (v130(constB47, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7534, 8692])).
% 72.47/45.68 tff(8694,plain,
% 72.47/45.68 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8695,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8696,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB47)) | (~v130(constB47, bitIndex2))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 72.47/45.68 tff(8697,plain,
% 72.47/45.68 (~v124(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8696, 3733, 8693])).
% 72.47/45.68 tff(8698,plain,
% 72.47/45.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8699,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v130(constB47, bitIndex2)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8700,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v130(constB47, bitIndex2))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 72.47/45.68 tff(8701,plain,
% 72.47/45.68 (~v121(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8700, 1748, 8693])).
% 72.47/45.68 tff(8702,assumption,(v90(constB48, bitIndex1)), introduced(assumption)).
% 72.47/45.68 tff(8703,plain,
% 72.47/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8704,plain,
% 72.47/45.68 (((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8705,plain,
% 72.47/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8704])).
% 72.47/45.68 tff(8706,plain,
% 72.47/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8705, 8703])).
% 72.47/45.68 tff(8707,plain,
% 72.47/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8708,plain,
% 72.47/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 72.47/45.68 tff(8709,plain,
% 72.47/45.68 (v129(constB48, bitIndex1) | (~v100(constB48))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8708, 728, 8702])).
% 72.47/45.68 tff(8710,plain,
% 72.47/45.68 (v129(constB48, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8709, 8688])).
% 72.47/45.68 tff(8711,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8712,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8713,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 72.47/45.68 tff(8714,plain,
% 72.47/45.68 (v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8713, 713, 7479])).
% 72.47/45.68 tff(8715,plain,
% 72.47/45.68 (v127(constB47, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8714, 8710])).
% 72.47/45.68 tff(8716,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8717,plain,
% 72.47/45.68 ((v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1))) <=> ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8718,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1)))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8717])).
% 72.47/45.68 tff(8719,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8718, 8716])).
% 72.47/45.68 tff(8720,plain,
% 72.47/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8721,plain,
% 72.47/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1)),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 72.47/45.68 tff(8722,plain,
% 72.47/45.68 ((~v127(constB47, bitIndex1)) | v130(constB47, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8721, 695, 7527])).
% 72.47/45.68 tff(8723,plain,
% 72.47/45.68 (v130(constB47, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8722, 8715])).
% 72.47/45.68 tff(8724,assumption,(v90(constB48, bitIndex0)), introduced(assumption)).
% 72.47/45.68 tff(8725,plain,
% 72.47/45.68 (v129(constB48, bitIndex0) | (~v100(constB48))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7629, 802, 8724])).
% 72.47/45.68 tff(8726,plain,
% 72.47/45.68 (v129(constB48, bitIndex0)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8725, 8688])).
% 72.47/45.68 tff(8727,plain,
% 72.47/45.68 (v127(constB47, bitIndex0)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7622, 8726])).
% 72.47/45.68 tff(8728,plain,
% 72.47/45.68 (v130(constB47, bitIndex0)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7617, 8727])).
% 72.47/45.68 tff(8729,plain,
% 72.47/45.68 (~v120(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7609, 1690, 8728])).
% 72.47/45.68 tff(8730,plain,
% 72.47/45.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8731,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8732,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB47)) | (~v130(constB47, bitIndex0))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 72.47/45.68 tff(8733,plain,
% 72.47/45.68 (~v123(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8732, 1057, 8728])).
% 72.47/45.68 tff(8734,plain,
% 72.47/45.68 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8735,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8736,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB47)) | (~v130(constB47, bitIndex0))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8735, 8734])).
% 72.47/45.68 tff(8737,plain,
% 72.47/45.68 (~v119(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8736, 755, 8728])).
% 72.47/45.68 tff(8738,plain,
% 72.47/45.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8739,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8740,plain,
% 72.47/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB47)) | (~v130(constB47, bitIndex0))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8739, 8738])).
% 72.47/45.68 tff(8741,plain,
% 72.47/45.68 (~v122(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8740, 2182, 8728])).
% 72.47/45.68 tff(8742,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8743,plain,
% 72.47/45.68 ((v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1))) <=> ((~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8744,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47)))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8743])).
% 72.47/45.68 tff(8745,plain,
% 72.47/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8744, 8742])).
% 72.47/45.68 tff(8746,plain,
% 72.47/45.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8747,plain,
% 72.47/45.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB47, bitIndex1)) | v124(constB47) | v120(constB47) | v119(constB47) | v121(constB47) | v122(constB47) | v123(constB47)),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 72.47/45.68 tff(8748,plain,
% 72.47/45.68 (v124(constB47) | v121(constB47)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8747, 1349, 8741, 8737, 8733, 8729, 8723])).
% 72.47/45.68 tff(8749,plain,
% 72.47/45.68 ($false),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8748, 8701, 8697])).
% 72.47/45.68 tff(8750,plain,((~v100(constB48)) | (~v90(constB48, bitIndex2)) | (~v90(constB48, bitIndex1)) | (~v90(constB48, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.47/45.68 tff(8751,plain,
% 72.47/45.68 (~v100(constB48)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8750, 8687, 8677, 8659])).
% 72.47/45.68 tff(8752,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8753,plain,
% 72.47/45.68 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))) <=> (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8754,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8753])).
% 72.47/45.68 tff(8755,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8754, 8752])).
% 72.47/45.68 tff(8756,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8757,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 72.47/45.68 tff(8758,plain,
% 72.47/45.68 (v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8757, 362, 7479])).
% 72.47/45.68 tff(8759,plain,
% 72.47/45.68 (v90(constB47, bitIndex0)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8758, 8751, 8659])).
% 72.47/45.68 tff(8760,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8761,plain,
% 72.47/45.68 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8762,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8761])).
% 72.47/45.68 tff(8763,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8762, 8760])).
% 72.47/45.68 tff(8764,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8765,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8764, 8763])).
% 72.47/45.68 tff(8766,plain,
% 72.47/45.68 (v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8765, 362, 7333])).
% 72.47/45.68 tff(8767,plain,
% 72.47/45.68 (v90(constB46, bitIndex0) | (~v90(constB47, bitIndex0))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8766, 7345])).
% 72.47/45.68 tff(8768,plain,
% 72.47/45.68 (v90(constB46, bitIndex0)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8767, 8759])).
% 72.47/45.68 tff(8769,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8770,plain,
% 72.47/45.68 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))) <=> (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8771,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8770])).
% 72.47/45.68 tff(8772,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8771, 8769])).
% 72.47/45.68 tff(8773,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8774,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 72.47/45.68 tff(8775,plain,
% 72.47/45.68 (v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8774, 320, 7479])).
% 72.47/45.68 tff(8776,plain,
% 72.47/45.68 (v90(constB47, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8775, 8751, 8687])).
% 72.47/45.68 tff(8777,plain,
% 72.47/45.68 (v90(constB46, bitIndex2)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7353, 8776])).
% 72.47/45.68 tff(8778,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8779,plain,
% 72.47/45.68 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))) <=> (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8780,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8779])).
% 72.47/45.68 tff(8781,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8780, 8778])).
% 72.47/45.68 tff(8782,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8783,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 72.47/45.68 tff(8784,plain,
% 72.47/45.68 (v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8783, 341, 7479])).
% 72.47/45.68 tff(8785,plain,
% 72.47/45.68 (v90(constB47, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8784, 8751, 8677])).
% 72.47/45.68 tff(8786,plain,
% 72.47/45.68 (v90(constB46, bitIndex1)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[7390, 8785])).
% 72.47/45.68 tff(8787,assumption,(v90(constB46, bitIndex1)), introduced(assumption)).
% 72.47/45.68 tff(8788,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8789,plain,
% 72.47/45.68 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1))) <=> (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 72.47/45.68 inference(rewrite,[status(thm)],[])).
% 72.47/45.68 tff(8790,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1))))),
% 72.47/45.68 inference(monotonicity,[status(thm)],[8789])).
% 72.47/45.68 tff(8791,plain,
% 72.47/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 72.47/45.68 inference(transitivity,[status(thm)],[8790, 8788])).
% 72.47/45.68 tff(8792,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 72.47/45.68 inference(quant_inst,[status(thm)],[])).
% 72.47/45.68 tff(8793,plain,
% 72.47/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1))),
% 72.47/45.68 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 72.47/45.68 tff(8794,plain,
% 72.47/45.68 (v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1))),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8793, 341, 6922])).
% 72.47/45.68 tff(8795,plain,
% 72.47/45.68 (v100(constB46)),
% 72.47/45.68 inference(unit_resolution,[status(thm)],[8794, 6949, 8787])).
% 72.47/45.68 tff(8796,plain,
% 72.47/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8797,plain,
% 72.47/45.69 (((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8798,plain,
% 72.47/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46))))),
% 72.47/45.69 inference(monotonicity,[status(thm)],[8797])).
% 72.47/45.69 tff(8799,plain,
% 72.47/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 72.47/45.69 inference(transitivity,[status(thm)],[8798, 8796])).
% 72.47/45.69 tff(8800,plain,
% 72.47/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8801,plain,
% 72.47/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 72.47/45.69 tff(8802,plain,
% 72.47/45.69 (v129(constB46, bitIndex0) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8801, 802, 7122])).
% 72.47/45.69 tff(8803,plain,
% 72.47/45.69 (v129(constB46, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8802, 8795])).
% 72.47/45.69 tff(8804,plain,
% 72.47/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8805,plain,
% 72.47/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8806,plain,
% 72.47/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 72.47/45.69 tff(8807,plain,
% 72.47/45.69 (v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8806, 787, 6922])).
% 72.47/45.69 tff(8808,plain,
% 72.47/45.69 (v127(constB45, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8807, 8803])).
% 72.47/45.69 tff(8809,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB45)) | (~v127(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB45)) | (~v127(constB45, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8810,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB45)) | (~v127(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8811,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB45)) | (~v127(constB45, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8810, 8809])).
% 72.47/45.69 tff(8812,plain,
% 72.47/45.69 (~v26(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8811, 3193, 8808])).
% 72.47/45.69 tff(8813,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8814,plain,
% 72.47/45.69 ((v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0))) <=> ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8815,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(monotonicity,[status(thm)],[8814])).
% 72.47/45.69 tff(8816,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 72.47/45.69 inference(transitivity,[status(thm)],[8815, 8813])).
% 72.47/45.69 tff(8817,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8818,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0)),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 72.47/45.69 tff(8819,plain,
% 72.47/45.69 (v130(constB45, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8818, 769, 8808, 8812])).
% 72.47/45.69 tff(8820,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8821,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8822,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB45)) | (~v130(constB45, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 72.47/45.69 tff(8823,plain,
% 72.47/45.69 (~v119(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8822, 755, 8819])).
% 72.47/45.69 tff(8824,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8825,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8826,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB45)) | (~v130(constB45, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 72.47/45.69 tff(8827,plain,
% 72.47/45.69 (~v120(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8826, 1690, 8819])).
% 72.47/45.69 tff(8828,plain,
% 72.47/45.69 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 72.47/45.69 inference(bind,[status(th)],[])).
% 72.47/45.69 tff(8829,plain,
% 72.47/45.69 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.47/45.69 inference(quant_intro,[status(thm)],[8828])).
% 72.47/45.69 tff(8830,plain,
% 72.47/45.69 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8831,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 72.47/45.69 tff(8832,plain,
% 72.47/45.69 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 72.47/45.69 tff(8833,plain,(
% 72.47/45.69 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.47/45.69 inference(skolemize,[status(sab)],[8832])).
% 72.47/45.69 tff(8834,plain,
% 72.47/45.69 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8833, 8829])).
% 72.47/45.69 tff(8835,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB45, bitIndex1) | (~v121(constB45)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB45, bitIndex1) | (~v121(constB45)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8836,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB45, bitIndex1) | (~v121(constB45)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8837,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB45, bitIndex1) | (~v121(constB45))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 72.47/45.69 tff(8838,plain,
% 72.47/45.69 (~v121(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8837, 8834, 6949])).
% 72.47/45.69 tff(8839,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB45, bitIndex1) | (~v122(constB45)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB45, bitIndex1) | (~v122(constB45)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8840,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB45, bitIndex1) | (~v122(constB45)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8841,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB45, bitIndex1) | (~v122(constB45))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 72.47/45.69 tff(8842,plain,
% 72.47/45.69 (~v122(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8841, 3254, 6949])).
% 72.47/45.69 tff(8843,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8844,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8845,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB45)) | (~v130(constB45, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 72.47/45.69 tff(8846,plain,
% 72.47/45.69 (~v123(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8845, 1057, 8819])).
% 72.47/45.69 tff(8847,plain,
% 72.47/45.69 (v129(constB46, bitIndex1) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7380, 728, 8787])).
% 72.47/45.69 tff(8848,plain,
% 72.47/45.69 (v129(constB46, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8847, 8795])).
% 72.47/45.69 tff(8849,plain,
% 72.47/45.69 (v127(constB45, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7373, 8848])).
% 72.47/45.69 tff(8850,plain,
% 72.47/45.69 (v130(constB45, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7367, 695, 8849, 8812])).
% 72.47/45.69 tff(8851,plain,
% 72.47/45.69 (v124(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7360, 1349, 8850, 8846, 8842, 8838, 8827, 8823])).
% 72.47/45.69 tff(8852,plain,
% 72.47/45.69 (v129(constB46, bitIndex2) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7325, 1304, 7133])).
% 72.47/45.69 tff(8853,plain,
% 72.47/45.69 (v129(constB46, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8852, 8795])).
% 72.47/45.69 tff(8854,plain,
% 72.47/45.69 (v127(constB45, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6926, 8853])).
% 72.47/45.69 tff(8855,plain,
% 72.47/45.69 (v130(constB45, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6917, 1271, 8854, 8812])).
% 72.47/45.69 tff(8856,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB45)) | (~v130(constB45, bitIndex2)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8857,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB45)) | (~v130(constB45, bitIndex2)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8858,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB45)) | (~v130(constB45, bitIndex2))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 72.47/45.69 tff(8859,plain,
% 72.47/45.69 ($false),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8858, 3733, 8855, 8851])).
% 72.47/45.69 tff(8860,plain,(v90(constB45, bitIndex1) | (~v90(constB46, bitIndex2)) | (~v90(constB46, bitIndex1)) | (~v90(constB46, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.47/45.69 tff(8861,plain,
% 72.47/45.69 (v90(constB45, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8860, 8777, 8786, 8768])).
% 72.47/45.69 tff(8862,plain,
% 72.47/45.69 (v90(constB44, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7317, 8861])).
% 72.47/45.69 tff(8863,plain,
% 72.47/45.69 (v100(constB46)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7308, 8862, 8777, 8768])).
% 72.47/45.69 tff(8864,plain,
% 72.47/45.69 (v129(constB46, bitIndex0) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8801, 802, 8768])).
% 72.47/45.69 tff(8865,plain,
% 72.47/45.69 (v129(constB46, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8864, 8863])).
% 72.47/45.69 tff(8866,plain,
% 72.47/45.69 (v127(constB45, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8807, 8865])).
% 72.47/45.69 tff(8867,plain,
% 72.47/45.69 (~v26(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8811, 3193, 8866])).
% 72.47/45.69 tff(8868,plain,
% 72.47/45.69 (v129(constB46, bitIndex1) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7380, 728, 8786])).
% 72.47/45.69 tff(8869,plain,
% 72.47/45.69 (v129(constB46, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8868, 8863])).
% 72.47/45.69 tff(8870,plain,
% 72.47/45.69 (v127(constB45, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7373, 8869])).
% 72.47/45.69 tff(8871,plain,
% 72.47/45.69 (v130(constB45, bitIndex1)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7367, 695, 8870, 8867])).
% 72.47/45.69 tff(8872,plain,
% 72.47/45.69 (v130(constB45, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8818, 769, 8866, 8867])).
% 72.47/45.69 tff(8873,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB45)) | (~v130(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8874,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB45)) | (~v130(constB45, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8875,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB45)) | (~v130(constB45, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 72.47/45.69 tff(8876,plain,
% 72.47/45.69 (~v122(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8875, 2182, 8872])).
% 72.47/45.69 tff(8877,plain,
% 72.47/45.69 (v129(constB46, bitIndex2) | (~v100(constB46))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7325, 1304, 8777])).
% 72.47/45.69 tff(8878,plain,
% 72.47/45.69 (v129(constB46, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8877, 8863])).
% 72.47/45.69 tff(8879,plain,
% 72.47/45.69 (v127(constB45, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6926, 8878])).
% 72.47/45.69 tff(8880,plain,
% 72.47/45.69 (v130(constB45, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6917, 1271, 8879, 8867])).
% 72.47/45.69 tff(8881,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8882,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8883,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 72.47/45.69 tff(8884,plain,
% 72.47/45.69 (~v121(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8883, 1748, 8880])).
% 72.47/45.69 tff(8885,plain,
% 72.47/45.69 (~v119(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6887, 1207, 8861])).
% 72.47/45.69 tff(8886,plain,
% 72.47/45.69 (~v120(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6891, 1240, 8861])).
% 72.47/45.69 tff(8887,plain,
% 72.47/45.69 (~v123(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6899, 1218, 8861])).
% 72.47/45.69 tff(8888,plain,
% 72.47/45.69 (~v124(constB45)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[6895, 1229, 8861])).
% 72.47/45.69 tff(8889,plain,
% 72.47/45.69 (v122(constB45) | v121(constB45) | (~v130(constB45, bitIndex1))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7360, 1349, 8888, 8887, 8886, 8885])).
% 72.47/45.69 tff(8890,plain,
% 72.47/45.69 ($false),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8889, 8884, 8876, 8871])).
% 72.47/45.69 tff(8891,plain,(v100(constB50) | (~v90(constB50, bitIndex2)) | (~v90(constB50, bitIndex1)) | (~v90(constB50, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.47/45.69 tff(8892,plain,
% 72.47/45.69 (v100(constB50)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8891, 8648, 8639, 8622])).
% 72.47/45.69 tff(8893,plain,
% 72.47/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8894,plain,
% 72.47/45.69 (((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8895,plain,
% 72.47/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50))))),
% 72.47/45.69 inference(monotonicity,[status(thm)],[8894])).
% 72.47/45.69 tff(8896,plain,
% 72.47/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 72.47/45.69 inference(transitivity,[status(thm)],[8895, 8893])).
% 72.47/45.69 tff(8897,plain,
% 72.47/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8898,plain,
% 72.47/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 72.47/45.69 tff(8899,plain,
% 72.47/45.69 (v129(constB50, bitIndex0) | (~v100(constB50))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8898, 802, 8622])).
% 72.47/45.69 tff(8900,plain,
% 72.47/45.69 (v129(constB50, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8899, 8892])).
% 72.47/45.69 tff(8901,plain,
% 72.47/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8902,plain,
% 72.47/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8903,plain,
% 72.47/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 72.47/45.69 tff(8904,plain,
% 72.47/45.69 (v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8903, 787, 7683])).
% 72.47/45.69 tff(8905,plain,
% 72.47/45.69 (v127(constB49, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8904, 8900])).
% 72.47/45.69 tff(8906,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8907,plain,
% 72.47/45.69 ((v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0))) <=> ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8908,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0)))),
% 72.47/45.69 inference(monotonicity,[status(thm)],[8907])).
% 72.47/45.69 tff(8909,plain,
% 72.47/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 72.47/45.69 inference(transitivity,[status(thm)],[8908, 8906])).
% 72.47/45.69 tff(8910,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8911,plain,
% 72.47/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0)),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 72.47/45.69 tff(8912,plain,
% 72.47/45.69 ((~v127(constB49, bitIndex0)) | v130(constB49, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8911, 769, 7668])).
% 72.47/45.69 tff(8913,plain,
% 72.47/45.69 (v130(constB49, bitIndex0)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8912, 8905])).
% 72.47/45.69 tff(8914,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8915,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.47/45.69 inference(quant_inst,[status(thm)],[])).
% 72.47/45.69 tff(8916,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v130(constB49, bitIndex0))),
% 72.47/45.69 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 72.47/45.69 tff(8917,plain,
% 72.47/45.69 (~v119(constB49)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8916, 755, 8913])).
% 72.47/45.69 tff(8918,plain,
% 72.47/45.69 (v129(constB50, bitIndex2) | (~v100(constB50))),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7746, 1304, 8648])).
% 72.47/45.69 tff(8919,plain,
% 72.47/45.69 (v129(constB50, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[8918, 8892])).
% 72.47/45.69 tff(8920,plain,
% 72.47/45.69 (v127(constB49, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7739, 8919])).
% 72.47/45.69 tff(8921,plain,
% 72.47/45.69 (v130(constB49, bitIndex2)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7734, 8920])).
% 72.47/45.69 tff(8922,plain,
% 72.47/45.69 (~v121(constB49)),
% 72.47/45.69 inference(unit_resolution,[status(thm)],[7726, 1748, 8921])).
% 72.47/45.69 tff(8923,plain,
% 72.47/45.69 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.47/45.69 inference(rewrite,[status(thm)],[])).
% 72.47/45.69 tff(8924,plain,
% 72.47/45.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8925,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB49)) | (~v130(constB49, bitIndex0))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 72.54/45.69 tff(8926,plain,
% 72.54/45.69 (~v122(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8925, 2182, 8913])).
% 72.54/45.69 tff(8927,plain,
% 72.54/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8928,plain,
% 72.54/45.69 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8929,plain,
% 72.54/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 72.54/45.69 inference(monotonicity,[status(thm)],[8928])).
% 72.54/45.69 tff(8930,plain,
% 72.54/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.54/45.69 inference(transitivity,[status(thm)],[8929, 8927])).
% 72.54/45.69 tff(8931,plain,
% 72.54/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8932,plain,
% 72.54/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 72.54/45.69 tff(8933,plain,
% 72.54/45.69 (v129(constB50, bitIndex1) | (~v100(constB50))),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8932, 728, 8639])).
% 72.54/45.69 tff(8934,plain,
% 72.54/45.69 (v129(constB50, bitIndex1)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8933, 8892])).
% 72.54/45.69 tff(8935,plain,
% 72.54/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8936,plain,
% 72.54/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8937,plain,
% 72.54/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 72.54/45.69 tff(8938,plain,
% 72.54/45.69 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8937, 713, 7683])).
% 72.54/45.69 tff(8939,plain,
% 72.54/45.69 (v127(constB49, bitIndex1)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8938, 8934])).
% 72.54/45.69 tff(8940,plain,
% 72.54/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8941,plain,
% 72.54/45.69 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8942,plain,
% 72.54/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 72.54/45.69 inference(monotonicity,[status(thm)],[8941])).
% 72.54/45.69 tff(8943,plain,
% 72.54/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.54/45.69 inference(transitivity,[status(thm)],[8942, 8940])).
% 72.54/45.69 tff(8944,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8945,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 72.54/45.69 tff(8946,plain,
% 72.54/45.69 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8945, 695, 7668])).
% 72.54/45.69 tff(8947,plain,
% 72.54/45.69 (v130(constB49, bitIndex1)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8946, 8939])).
% 72.54/45.69 tff(8948,plain,
% 72.54/45.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8949,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8950,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB49)) | (~v130(constB49, bitIndex0))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 72.54/45.69 tff(8951,plain,
% 72.54/45.69 (~v120(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8950, 1690, 8913])).
% 72.54/45.69 tff(8952,plain,
% 72.54/45.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB49)) | (~v130(constB49, bitIndex2)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8953,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB49)) | (~v130(constB49, bitIndex2)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8954,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB49)) | (~v130(constB49, bitIndex2))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8953, 8952])).
% 72.54/45.69 tff(8955,plain,
% 72.54/45.69 (~v124(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8954, 3733, 8921])).
% 72.54/45.69 tff(8956,assumption,(v123(constB49)), introduced(assumption)).
% 72.54/45.69 tff(8957,plain,
% 72.54/45.69 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB49) | (~v123(constB49)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB49) | (~v123(constB49)))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8958,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB49) | (~v123(constB49)))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8959,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB49) | (~v123(constB49))),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 72.54/45.69 tff(8960,plain,
% 72.54/45.69 (v115(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8959, 840, 8956])).
% 72.54/45.69 tff(8961,plain,
% 72.54/45.69 (v114(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7659, 438, 8960])).
% 72.54/45.69 tff(8962,plain,
% 72.54/45.69 (v113(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7663, 449, 8961])).
% 72.54/45.69 tff(8963,plain,
% 72.54/45.69 (v112(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7675, 8962])).
% 72.54/45.69 tff(8964,plain,
% 72.54/45.69 (v108(constB49)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7679, 475, 8963])).
% 72.54/45.69 tff(8965,plain,
% 72.54/45.69 (v110(constB50)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7690, 8964])).
% 72.54/45.69 tff(8966,plain,
% 72.54/45.69 (v100(constB50)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[7722, 8965])).
% 72.54/45.69 tff(8967,plain,
% 72.54/45.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB49)) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB49)) | v130(constB49, bitIndex2))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8968,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB49)) | v130(constB49, bitIndex2))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8969,plain,
% 72.54/45.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB49)) | v130(constB49, bitIndex2)),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 72.54/45.69 tff(8970,plain,
% 72.54/45.69 (v130(constB49, bitIndex2)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8969, 917, 8956])).
% 72.54/45.69 tff(8971,plain,
% 72.54/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB49) | (~v130(constB49, bitIndex2)) | v127(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB49) | (~v130(constB49, bitIndex2)) | v127(constB49, bitIndex2))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8972,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB49) | (~v130(constB49, bitIndex2)) | v127(constB49, bitIndex2))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8973,plain,
% 72.54/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB49) | (~v130(constB49, bitIndex2)) | v127(constB49, bitIndex2)),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 72.54/45.69 tff(8974,plain,
% 72.54/45.69 ((~v130(constB49, bitIndex2)) | v127(constB49, bitIndex2)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8973, 596, 7668])).
% 72.54/45.69 tff(8975,plain,
% 72.54/45.69 (v127(constB49, bitIndex2)),
% 72.54/45.69 inference(unit_resolution,[status(thm)],[8974, 8970])).
% 72.54/45.69 tff(8976,plain,
% 72.54/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex2)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex2)) | v129(constB50, bitIndex2))),
% 72.54/45.69 inference(rewrite,[status(thm)],[])).
% 72.54/45.69 tff(8977,plain,
% 72.54/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex2)) | v129(constB50, bitIndex2))),
% 72.54/45.69 inference(quant_inst,[status(thm)],[])).
% 72.54/45.69 tff(8978,plain,
% 72.54/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex2)) | v129(constB50, bitIndex2)),
% 72.54/45.69 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 72.54/45.69 tff(8979,plain,
% 72.54/45.69 ((~v127(constB49, bitIndex2)) | v129(constB50, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8978, 611, 7683])).
% 72.54/45.70 tff(8980,plain,
% 72.54/45.70 (v129(constB50, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8979, 8975])).
% 72.54/45.70 tff(8981,plain,
% 72.54/45.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(8982,plain,
% 72.54/45.70 ((v90(constB50, bitIndex2) | (~v100(constB50)) | (~v129(constB50, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(8983,plain,
% 72.54/45.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~v100(constB50)) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50))))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[8982])).
% 72.54/45.70 tff(8984,plain,
% 72.54/45.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~v100(constB50)) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50)))),
% 72.54/45.70 inference(transitivity,[status(thm)],[8983, 8981])).
% 72.54/45.70 tff(8985,plain,
% 72.54/45.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~v100(constB50)) | (~v129(constB50, bitIndex2)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(8986,plain,
% 72.54/45.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~v129(constB50, bitIndex2)) | (~v100(constB50))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[8985, 8984])).
% 72.54/45.70 tff(8987,plain,
% 72.54/45.70 (v90(constB50, bitIndex2) | (~v100(constB50))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8986, 626, 8980])).
% 72.54/45.70 tff(8988,plain,
% 72.54/45.70 (v90(constB50, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8987, 8966])).
% 72.54/45.70 tff(8989,plain,
% 72.54/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(8990,plain,
% 72.54/45.70 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex2)) | v100(constB51) | v90(constB51, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(8991,plain,
% 72.54/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex2)) | v100(constB51) | v90(constB51, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2)))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[8990])).
% 72.54/45.70 tff(8992,plain,
% 72.54/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex2)) | v100(constB51) | v90(constB51, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2))),
% 72.54/45.70 inference(transitivity,[status(thm)],[8991, 8989])).
% 72.54/45.70 tff(8993,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex2)) | v100(constB51) | v90(constB51, bitIndex2))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(8994,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex2)),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 72.54/45.70 tff(8995,plain,
% 72.54/45.70 ((~v90(constB50, bitIndex2)) | v100(constB51) | v90(constB51, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8994, 662, 7754])).
% 72.54/45.70 tff(8996,plain,
% 72.54/45.70 ((~v90(constB50, bitIndex2)) | v90(constB51, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8995, 7766])).
% 72.54/45.70 tff(8997,plain,
% 72.54/45.70 (v90(constB51, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8996, 8988])).
% 72.54/45.70 tff(8998,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB51, bitIndex2)) | (~v121(constB51)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB51, bitIndex2)) | (~v121(constB51)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(8999,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB51, bitIndex2)) | (~v121(constB51)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9000,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB51, bitIndex2)) | (~v121(constB51))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 72.54/45.70 tff(9001,plain,
% 72.54/45.70 (~v121(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9000, 1182, 8997])).
% 72.54/45.70 tff(9002,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB51, bitIndex2)) | (~v122(constB51)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB51, bitIndex2)) | (~v122(constB51)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9003,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB51, bitIndex2)) | (~v122(constB51)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9004,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB51, bitIndex2)) | (~v122(constB51))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 72.54/45.70 tff(9005,plain,
% 72.54/45.70 (~v122(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9004, 1193, 8997])).
% 72.54/45.70 tff(9006,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB49)) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB49)) | v130(constB49, bitIndex1))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9007,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB49)) | v130(constB49, bitIndex1))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9008,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB49)) | v130(constB49, bitIndex1)),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 72.54/45.70 tff(9009,plain,
% 72.54/45.70 (v130(constB49, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9008, 976, 8956])).
% 72.54/45.70 tff(9010,plain,
% 72.54/45.70 (v127(constB49, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7783, 9009])).
% 72.54/45.70 tff(9011,plain,
% 72.54/45.70 (v129(constB50, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7788, 9010])).
% 72.54/45.70 tff(9012,plain,
% 72.54/45.70 (v90(constB50, bitIndex1) | (~v100(constB50))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7795, 1020, 9011])).
% 72.54/45.70 tff(9013,plain,
% 72.54/45.70 (v90(constB50, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9012, 8966])).
% 72.54/45.70 tff(9014,plain,
% 72.54/45.70 (v90(constB51, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7805, 9013])).
% 72.54/45.70 tff(9015,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB51)) | (~v90(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB51)) | (~v90(constB51, bitIndex1)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9016,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB51)) | (~v90(constB51, bitIndex1)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9017,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB51)) | (~v90(constB51, bitIndex1))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 72.54/45.70 tff(9018,plain,
% 72.54/45.70 (~v119(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9017, 1207, 9014])).
% 72.54/45.70 tff(9019,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v120(constB51)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v120(constB51)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9020,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v120(constB51)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9021,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v120(constB51))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 72.54/45.70 tff(9022,plain,
% 72.54/45.70 (~v120(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9021, 1240, 9014])).
% 72.54/45.70 tff(9023,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v123(constB51)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v123(constB51)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9024,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v123(constB51)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9025,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v123(constB51))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 72.54/45.70 tff(9026,plain,
% 72.54/45.70 (~v123(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9025, 1218, 9014])).
% 72.54/45.70 tff(9027,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v124(constB51)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v124(constB51)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9028,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB51, bitIndex1)) | (~v124(constB51)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9029,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB51, bitIndex1)) | (~v124(constB51))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 72.54/45.70 tff(9030,plain,
% 72.54/45.70 (~v124(constB51)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9029, 1229, 9014])).
% 72.54/45.70 tff(9031,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9032,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v130(constB49, bitIndex0)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9033,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v130(constB49, bitIndex0))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 72.54/45.70 tff(9034,plain,
% 72.54/45.70 (~v130(constB49, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9033, 1057, 8956])).
% 72.54/45.70 tff(9035,plain,
% 72.54/45.70 (~v127(constB49, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8912, 9034])).
% 72.54/45.70 tff(9036,plain,
% 72.54/45.70 (~v129(constB50, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8904, 9035])).
% 72.54/45.70 tff(9037,plain,
% 72.54/45.70 ((~v90(constB50, bitIndex0)) | (~v100(constB50))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8898, 802, 9036])).
% 72.54/45.70 tff(9038,plain,
% 72.54/45.70 (~v90(constB50, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9037, 8966])).
% 72.54/45.70 tff(9039,plain,
% 72.54/45.70 (~v90(constB51, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8621, 9038])).
% 72.54/45.70 tff(9040,plain,
% 72.54/45.70 (v100(constB52)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8612, 9039, 8573])).
% 72.54/45.70 tff(9041,plain,
% 72.54/45.70 (v129(constB52, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8592, 9040])).
% 72.54/45.70 tff(9042,plain,
% 72.54/45.70 (v127(constB51, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7978, 9041])).
% 72.54/45.70 tff(9043,plain,
% 72.54/45.70 (v130(constB51, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[7973, 9042])).
% 72.54/45.70 tff(9044,plain,
% 72.54/45.70 ($false),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8601, 1349, 9043, 9030, 9026, 9022, 9018, 9005, 9001])).
% 72.54/45.70 tff(9045,plain,((~v123(constB49)) | (~v90(constB52, bitIndex1)) | (~v90(constB52, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.54/45.70 tff(9046,plain,
% 72.54/45.70 (~v123(constB49)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9045, 8523, 8513])).
% 72.54/45.70 tff(9047,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9048,plain,
% 72.54/45.70 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))) <=> ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9049,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[9048])).
% 72.54/45.70 tff(9050,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 72.54/45.70 inference(transitivity,[status(thm)],[9049, 9047])).
% 72.54/45.70 tff(9051,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9052,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 72.54/45.70 tff(9053,plain,
% 72.54/45.70 ((~v130(constB49, bitIndex1)) | v124(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9052, 1349, 9046])).
% 72.54/45.70 tff(9054,plain,
% 72.54/45.70 ($false),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9053, 8955, 8951, 8947, 8926, 8922, 8917])).
% 72.54/45.70 tff(9055,plain,(v100(constB54) | (~v90(constB54, bitIndex2)) | (~v90(constB54, bitIndex1)) | (~v90(constB54, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.54/45.70 tff(9056,plain,
% 72.54/45.70 (v100(constB54)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9055, 8502, 8493, 8471])).
% 72.54/45.70 tff(9057,plain,
% 72.54/45.70 (v129(constB54, bitIndex0) | (~v100(constB54))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8256, 802, 8471])).
% 72.54/45.70 tff(9058,plain,
% 72.54/45.70 (v129(constB54, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9057, 9056])).
% 72.54/45.70 tff(9059,plain,
% 72.54/45.70 (v127(constB53, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8249, 9058])).
% 72.54/45.70 tff(9060,plain,
% 72.54/45.70 (v130(constB53, bitIndex0)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8244, 9059])).
% 72.54/45.70 tff(9061,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9062,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9063,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB53)) | (~v130(constB53, bitIndex0))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 72.54/45.70 tff(9064,plain,
% 72.54/45.70 (~v122(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9063, 2182, 9060])).
% 72.54/45.70 tff(9065,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9066,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9067,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB53)) | (~v130(constB53, bitIndex0))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 72.54/45.70 tff(9068,plain,
% 72.54/45.70 (~v119(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9067, 755, 9060])).
% 72.54/45.70 tff(9069,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9070,plain,
% 72.54/45.70 (((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9071,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[9070])).
% 72.54/45.70 tff(9072,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.54/45.70 inference(transitivity,[status(thm)],[9071, 9069])).
% 72.54/45.70 tff(9073,plain,
% 72.54/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9074,plain,
% 72.54/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9073, 9072])).
% 72.54/45.70 tff(9075,plain,
% 72.54/45.70 (v129(constB54, bitIndex2) | (~v100(constB54))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9074, 1304, 8502])).
% 72.54/45.70 tff(9076,plain,
% 72.54/45.70 (v129(constB54, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9075, 9056])).
% 72.54/45.70 tff(9077,plain,
% 72.54/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9078,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9079,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 72.54/45.70 tff(9080,plain,
% 72.54/45.70 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9079, 1289, 8065])).
% 72.54/45.70 tff(9081,plain,
% 72.54/45.70 (v127(constB53, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9080, 9076])).
% 72.54/45.70 tff(9082,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9083,plain,
% 72.54/45.70 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9084,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[9083])).
% 72.54/45.70 tff(9085,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.54/45.70 inference(transitivity,[status(thm)],[9084, 9082])).
% 72.54/45.70 tff(9086,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9087,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 72.54/45.70 tff(9088,plain,
% 72.54/45.70 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9087, 1271, 8050])).
% 72.54/45.70 tff(9089,plain,
% 72.54/45.70 (v130(constB53, bitIndex2)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9088, 9081])).
% 72.54/45.70 tff(9090,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9091,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9092,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 72.54/45.70 tff(9093,plain,
% 72.54/45.70 (~v121(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9092, 1748, 9089])).
% 72.54/45.70 tff(9094,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9095,plain,
% 72.54/45.70 (((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9096,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54))))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[9095])).
% 72.54/45.70 tff(9097,plain,
% 72.54/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 72.54/45.70 inference(transitivity,[status(thm)],[9096, 9094])).
% 72.54/45.70 tff(9098,plain,
% 72.54/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9099,plain,
% 72.54/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 72.54/45.70 tff(9100,plain,
% 72.54/45.70 (v129(constB54, bitIndex1) | (~v100(constB54))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9099, 728, 8493])).
% 72.54/45.70 tff(9101,plain,
% 72.54/45.70 (v129(constB54, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9100, 9056])).
% 72.54/45.70 tff(9102,plain,
% 72.54/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9103,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9104,plain,
% 72.54/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 72.54/45.70 tff(9105,plain,
% 72.54/45.70 (v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1))),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9104, 713, 8065])).
% 72.54/45.70 tff(9106,plain,
% 72.54/45.70 (v127(constB53, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9105, 9101])).
% 72.54/45.70 tff(9107,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9108,plain,
% 72.54/45.70 ((v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1))) <=> ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9109,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1)))),
% 72.54/45.70 inference(monotonicity,[status(thm)],[9108])).
% 72.54/45.70 tff(9110,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 72.54/45.70 inference(transitivity,[status(thm)],[9109, 9107])).
% 72.54/45.70 tff(9111,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9112,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1)),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 72.54/45.70 tff(9113,plain,
% 72.54/45.70 ((~v127(constB53, bitIndex1)) | v130(constB53, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9112, 695, 8050])).
% 72.54/45.70 tff(9114,plain,
% 72.54/45.70 (v130(constB53, bitIndex1)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9113, 9106])).
% 72.54/45.70 tff(9115,plain,
% 72.54/45.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9116,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9117,plain,
% 72.54/45.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB53)) | (~v130(constB53, bitIndex2))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 72.54/45.70 tff(9118,plain,
% 72.54/45.70 (~v124(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9117, 3733, 9089])).
% 72.54/45.70 tff(9119,plain,
% 72.54/45.70 (~v123(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8236, 1057, 9060])).
% 72.54/45.70 tff(9120,assumption,(v120(constB53)), introduced(assumption)).
% 72.54/45.70 tff(9121,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB53) | (~v120(constB53)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB53) | (~v120(constB53)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9122,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB53) | (~v120(constB53)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9123,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB53) | (~v120(constB53))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9122, 9121])).
% 72.54/45.70 tff(9124,plain,
% 72.54/45.70 (v118(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9123, 1494, 9120])).
% 72.54/45.70 tff(9125,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB53) | (~v118(constB53)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB53) | (~v118(constB53)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9126,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB53) | (~v118(constB53)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9127,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB53) | (~v118(constB53))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 72.54/45.70 tff(9128,plain,
% 72.54/45.70 (v117(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9127, 405, 9124])).
% 72.54/45.70 tff(9129,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9130,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9131,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9130, 9129])).
% 72.54/45.70 tff(9132,plain,
% 72.54/45.70 (v116(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9131, 416, 9128])).
% 72.54/45.70 tff(9133,plain,
% 72.54/45.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53)))),
% 72.54/45.70 inference(rewrite,[status(thm)],[])).
% 72.54/45.70 tff(9134,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))),
% 72.54/45.70 inference(quant_inst,[status(thm)],[])).
% 72.54/45.70 tff(9135,plain,
% 72.54/45.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53))),
% 72.54/45.70 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 72.54/45.70 tff(9136,plain,
% 72.54/45.70 (v115(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[9135, 427, 9132])).
% 72.54/45.70 tff(9137,plain,
% 72.54/45.70 (v114(constB53)),
% 72.54/45.70 inference(unit_resolution,[status(thm)],[8041, 438, 9136])).
% 72.54/45.70 tff(9138,plain,
% 72.54/45.70 (v113(constB53)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8045, 449, 9137])).
% 72.54/45.71 tff(9139,plain,
% 72.54/45.71 (v112(constB53)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8057, 9138])).
% 72.54/45.71 tff(9140,plain,
% 72.54/45.71 (v108(constB53)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8061, 475, 9139])).
% 72.54/45.71 tff(9141,plain,
% 72.54/45.71 (v110(constB54)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8072, 9140])).
% 72.54/45.71 tff(9142,plain,
% 72.54/45.71 (v100(constB54)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8104, 9141])).
% 72.54/45.71 tff(9143,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9144,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9145,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB53)) | (~v130(constB53, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 72.54/45.71 tff(9146,plain,
% 72.54/45.71 (~v130(constB53, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9145, 1587, 9120])).
% 72.54/45.71 tff(9147,plain,
% 72.54/45.71 (~v127(constB53, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9088, 9146])).
% 72.54/45.71 tff(9148,plain,
% 72.54/45.71 (~v129(constB54, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9080, 9147])).
% 72.54/45.71 tff(9149,plain,
% 72.54/45.71 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9074, 1304, 9148])).
% 72.54/45.71 tff(9150,plain,
% 72.54/45.71 (~v90(constB54, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9149, 9142])).
% 72.54/45.71 tff(9151,plain,
% 72.54/45.71 (~v90(constB55, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8501, 9150])).
% 72.54/45.71 tff(9152,plain,
% 72.54/45.71 (v100(constB56)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8446, 9151, 8427])).
% 72.54/45.71 tff(9153,plain,
% 72.54/45.71 (v129(constB56, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8434, 9152])).
% 72.54/45.71 tff(9154,plain,
% 72.54/45.71 (v127(constB55, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8425, 9153])).
% 72.54/45.71 tff(9155,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB55)) | (~v127(constB55, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9156,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9157,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB55)) | (~v127(constB55, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 72.54/45.71 tff(9158,plain,
% 72.54/45.71 (~v26(constB55)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9157, 4054, 9154])).
% 72.54/45.71 tff(9159,plain,
% 72.54/45.71 (v130(constB55, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8418, 1271, 9154, 9158])).
% 72.54/45.71 tff(9160,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB53)) | v130(constB53, bitIndex1))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9161,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB53)) | v130(constB53, bitIndex1))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9162,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB53)) | v130(constB53, bitIndex1)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 72.54/45.71 tff(9163,plain,
% 72.54/45.71 (v130(constB53, bitIndex1)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9162, 1649, 9120])).
% 72.54/45.71 tff(9164,plain,
% 72.54/45.71 (v127(constB53, bitIndex1)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8170, 9163])).
% 72.54/45.71 tff(9165,plain,
% 72.54/45.71 (v129(constB54, bitIndex1)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8175, 9164])).
% 72.54/45.71 tff(9166,plain,
% 72.54/45.71 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8182, 1020, 9165])).
% 72.54/45.71 tff(9167,plain,
% 72.54/45.71 (v90(constB54, bitIndex1)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9166, 9142])).
% 72.54/45.71 tff(9168,plain,
% 72.54/45.71 (v90(constB55, bitIndex1)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8192, 9167])).
% 72.54/45.71 tff(9169,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9170,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex0)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9171,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB53)) | (~v130(constB53, bitIndex0))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 72.54/45.71 tff(9172,plain,
% 72.54/45.71 (~v130(constB53, bitIndex0)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9171, 1690, 9120])).
% 72.54/45.71 tff(9173,plain,
% 72.54/45.71 (~v127(constB53, bitIndex0)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8244, 9172])).
% 72.54/45.71 tff(9174,plain,
% 72.54/45.71 (~v129(constB54, bitIndex0)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8249, 9173])).
% 72.54/45.71 tff(9175,plain,
% 72.54/45.71 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8256, 802, 9174])).
% 72.54/45.71 tff(9176,plain,
% 72.54/45.71 (~v90(constB54, bitIndex0)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9175, 9142])).
% 72.54/45.71 tff(9177,plain,
% 72.54/45.71 (~v90(constB55, bitIndex0)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[8266, 9176])).
% 72.54/45.71 tff(9178,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9179,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9180,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 72.54/45.71 tff(9181,plain,
% 72.54/45.71 (v121(constB55)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9180, 1734, 9177, 9168, 9151])).
% 72.54/45.71 tff(9182,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9183,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9184,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 72.54/45.71 tff(9185,plain,
% 72.54/45.71 ($false),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9184, 1748, 9181, 9159])).
% 72.54/45.71 tff(9186,plain,((~v120(constB53)) | (~v90(constB56, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.54/45.71 tff(9187,plain,
% 72.54/45.71 (~v120(constB53)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9186, 8427])).
% 72.54/45.71 tff(9188,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9189,plain,
% 72.54/45.71 ((v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1))) <=> ((~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9190,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53)))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9189])).
% 72.54/45.71 tff(9191,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9190, 9188])).
% 72.54/45.71 tff(9192,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9193,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9192, 9191])).
% 72.54/45.71 tff(9194,plain,
% 72.54/45.71 ((~v130(constB53, bitIndex1)) | v124(constB53) | v123(constB53) | v121(constB53) | v119(constB53) | v122(constB53)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9193, 1349, 9187])).
% 72.54/45.71 tff(9195,plain,
% 72.54/45.71 ($false),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9194, 9119, 9118, 9114, 9093, 9068, 9064])).
% 72.54/45.71 tff(9196,plain,(v127(constB55, bitIndex2) | (~v90(constB56, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.54/45.71 tff(9197,plain,
% 72.54/45.71 (~v90(constB56, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9196, 8420])).
% 72.54/45.71 tff(9198,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9199,plain,
% 72.54/45.71 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9200,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9199])).
% 72.54/45.71 tff(9201,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9200, 9198])).
% 72.54/45.71 tff(9202,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9203,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 72.54/45.71 tff(9204,plain,
% 72.54/45.71 (v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9203, 320, 8348])).
% 72.54/45.71 tff(9205,plain,
% 72.54/45.71 (v90(constB56, bitIndex2) | (~v90(constB57, bitIndex2))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9204, 8360])).
% 72.54/45.71 tff(9206,plain,
% 72.54/45.71 (~v90(constB57, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9205, 9197])).
% 72.54/45.71 tff(9207,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9208,plain,
% 72.54/45.71 (((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)) <=> ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9209,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9208])).
% 72.54/45.71 tff(9210,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9209, 9207])).
% 72.54/45.71 tff(9211,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9212,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 72.54/45.71 tff(9213,plain,
% 72.54/45.71 ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v120(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9212, 1480, 9206])).
% 72.54/45.71 tff(9214,plain,
% 72.54/45.71 (v120(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9213, 8405, 8369])).
% 72.54/45.71 tff(9215,plain,
% 72.54/45.71 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9216,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9217,plain,
% 72.54/45.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 72.54/45.71 tff(9218,plain,
% 72.54/45.71 (~v130(constB57, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9217, 1587, 9214])).
% 72.54/45.71 tff(9219,assumption,(v26(constB57)), introduced(assumption)).
% 72.54/45.71 tff(9220,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9221,plain,
% 72.54/45.71 ($false),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9220, 26, 9219])).
% 72.54/45.71 tff(9222,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.71 tff(9223,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9224,plain,
% 72.54/45.71 ((v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2))) <=> ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9225,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9224])).
% 72.54/45.71 tff(9226,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9225, 9223])).
% 72.54/45.71 tff(9227,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9228,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9227, 9226])).
% 72.54/45.71 tff(9229,plain,
% 72.54/45.71 ((~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9228, 1271, 9222])).
% 72.54/45.71 tff(9230,plain,
% 72.54/45.71 (~v127(constB57, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9229, 9218])).
% 72.54/45.71 tff(9231,plain,
% 72.54/45.71 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9232,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 72.54/45.71 tff(9233,plain,
% 72.54/45.71 (nextState(constB57, constB58)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 72.54/45.71 tff(9234,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9235,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9236,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 72.54/45.71 tff(9237,plain,
% 72.54/45.71 (v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9236, 1289, 9233])).
% 72.54/45.71 tff(9238,plain,
% 72.54/45.71 (~v129(constB58, bitIndex2)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9237, 9230])).
% 72.54/45.71 tff(9239,assumption,(~v100(constB58)), introduced(assumption)).
% 72.54/45.71 tff(9240,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9241,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9242,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 72.54/45.71 tff(9243,plain,
% 72.54/45.71 (~v104(constB58)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9242, 510, 9233, 8345])).
% 72.54/45.71 tff(9244,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9245,plain,
% 72.54/45.71 (((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9246,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9245])).
% 72.54/45.71 tff(9247,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9246, 9244])).
% 72.54/45.71 tff(9248,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9249,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9248, 9247])).
% 72.54/45.71 tff(9250,plain,
% 72.54/45.71 (v104(constB58) | v102(constB58)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9249, 524, 9233])).
% 72.54/45.71 tff(9251,plain,
% 72.54/45.71 (v102(constB58)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9250, 9243])).
% 72.54/45.71 tff(9252,plain,
% 72.54/45.71 (v1(constB58) <=> v1(constB58)),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9253,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 72.54/45.71 tff(9254,plain,
% 72.54/45.71 (v1(constB58)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 72.54/45.71 tff(9255,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9256,plain,
% 72.54/45.71 (((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))) <=> ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9257,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9256])).
% 72.54/45.71 tff(9258,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9257, 9255])).
% 72.54/45.71 tff(9259,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9260,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 72.54/45.71 tff(9261,plain,
% 72.54/45.71 (v101(constB58) | (~v102(constB58))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9260, 545, 9233, 9254])).
% 72.54/45.71 tff(9262,plain,
% 72.54/45.71 (v101(constB58)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9261, 9251])).
% 72.54/45.71 tff(9263,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9264,plain,
% 72.54/45.71 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9265,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9264])).
% 72.54/45.71 tff(9266,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9265, 9263])).
% 72.54/45.71 tff(9267,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9268,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 72.54/45.71 tff(9269,plain,
% 72.54/45.71 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9268, 563, 9233])).
% 72.54/45.71 tff(9270,plain,
% 72.54/45.71 (v100(constB58) | (~v110(constB58))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9269, 9262])).
% 72.54/45.71 tff(9271,plain,
% 72.54/45.71 (~v110(constB58)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9270, 9239])).
% 72.54/45.71 tff(9272,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9273,plain,
% 72.54/45.71 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9274,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 72.54/45.71 inference(monotonicity,[status(thm)],[9273])).
% 72.54/45.71 tff(9275,plain,
% 72.54/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.54/45.71 inference(transitivity,[status(thm)],[9274, 9272])).
% 72.54/45.71 tff(9276,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9277,plain,
% 72.54/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 72.54/45.71 tff(9278,plain,
% 72.54/45.71 (v110(constB58) | (~v108(constB57))),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9277, 492, 9233])).
% 72.54/45.71 tff(9279,plain,
% 72.54/45.71 (~v108(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9278, 9271])).
% 72.54/45.71 tff(9280,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9281,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9282,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 72.54/45.71 tff(9283,plain,
% 72.54/45.71 (~v112(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9282, 475, 9279])).
% 72.54/45.71 tff(9284,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9285,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9286,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 72.54/45.71 tff(9287,plain,
% 72.54/45.71 ((~v113(constB57)) | v112(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9286, 463, 9222])).
% 72.54/45.71 tff(9288,plain,
% 72.54/45.71 (~v113(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9287, 9283])).
% 72.54/45.71 tff(9289,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9290,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9291,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 72.54/45.71 tff(9292,plain,
% 72.54/45.71 (~v114(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9291, 449, 9288])).
% 72.54/45.71 tff(9293,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9294,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9295,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 72.54/45.71 tff(9296,plain,
% 72.54/45.71 (~v115(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9295, 438, 9292])).
% 72.54/45.71 tff(9297,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9298,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9299,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 72.54/45.71 tff(9300,plain,
% 72.54/45.71 (~v116(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9299, 427, 9296])).
% 72.54/45.71 tff(9301,plain,
% 72.54/45.71 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57)))),
% 72.54/45.71 inference(rewrite,[status(thm)],[])).
% 72.54/45.71 tff(9302,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))),
% 72.54/45.71 inference(quant_inst,[status(thm)],[])).
% 72.54/45.71 tff(9303,plain,
% 72.54/45.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57))),
% 72.54/45.71 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 72.54/45.71 tff(9304,plain,
% 72.54/45.71 (~v117(constB57)),
% 72.54/45.71 inference(unit_resolution,[status(thm)],[9303, 416, 9300])).
% 72.54/45.71 tff(9305,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB57) | (~v121(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB57) | (~v121(constB57)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9306,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB57) | (~v121(constB57)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9307,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB57) | (~v121(constB57))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 72.54/45.72 tff(9308,plain,
% 72.54/45.72 (~v121(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9307, 1775, 9304])).
% 72.54/45.72 tff(9309,assumption,(~v90(constB57, bitIndex2)), introduced(assumption)).
% 72.54/45.72 tff(9310,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9311,plain,
% 72.54/45.72 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))) <=> (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9312,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9311])).
% 72.54/45.72 tff(9313,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9312, 9310])).
% 72.54/45.72 tff(9314,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9315,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 72.54/45.72 tff(9316,plain,
% 72.54/45.72 (v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9315, 320, 9233])).
% 72.54/45.72 tff(9317,plain,
% 72.54/45.72 (~v90(constB58, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9316, 9239, 9309])).
% 72.54/45.72 tff(9318,assumption,(~v90(constB58, bitIndex1)), introduced(assumption)).
% 72.54/45.72 tff(9319,assumption,(~v90(constB58, bitIndex2)), introduced(assumption)).
% 72.54/45.72 tff(9320,assumption,(~v90(constB58, bitIndex0)), introduced(assumption)).
% 72.54/45.72 tff(9321,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9322,plain,
% 72.54/45.72 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)) <=> ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9323,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9322])).
% 72.54/45.72 tff(9324,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9323, 9321])).
% 72.54/45.72 tff(9325,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9326,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9325, 9324])).
% 72.54/45.72 tff(9327,plain,
% 72.54/45.72 ((~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9326, 1038, 9233])).
% 72.54/45.72 tff(9328,plain,
% 72.54/45.72 (~v90(constB57, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9327, 9239, 9318])).
% 72.54/45.72 tff(9329,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9330,plain,
% 72.54/45.72 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)) <=> ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9331,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9330])).
% 72.54/45.72 tff(9332,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9331, 9329])).
% 72.54/45.72 tff(9333,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9334,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 72.54/45.72 tff(9335,plain,
% 72.54/45.72 ((~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9334, 1461, 9233])).
% 72.54/45.72 tff(9336,plain,
% 72.54/45.72 (~v90(constB57, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9335, 9239, 9320])).
% 72.54/45.72 tff(9337,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9338,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9339,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 72.54/45.72 tff(9340,plain,
% 72.54/45.72 (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9339, 383, 9309])).
% 72.54/45.72 tff(9341,plain,
% 72.54/45.72 (v119(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9340, 9336, 9328])).
% 72.54/45.72 tff(9342,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9343,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9344,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 72.54/45.72 tff(9345,plain,
% 72.54/45.72 (v118(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9344, 394, 9341])).
% 72.54/45.72 tff(9346,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9347,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9348,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 72.54/45.72 tff(9349,plain,
% 72.54/45.72 (v117(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9348, 405, 9345])).
% 72.54/45.72 tff(9350,plain,
% 72.54/45.72 (v116(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9303, 416, 9349])).
% 72.54/45.72 tff(9351,plain,
% 72.54/45.72 (v115(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9299, 427, 9350])).
% 72.54/45.72 tff(9352,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB57) | (~v26(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB57) | (~v26(constB57)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9353,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB57) | (~v26(constB57)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9354,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB57) | (~v26(constB57))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 72.54/45.72 tff(9355,plain,
% 72.54/45.72 (~v26(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9354, 1807, 9279])).
% 72.54/45.72 tff(9356,plain,
% 72.54/45.72 (~v113(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9286, 463, 9355, 9283])).
% 72.54/45.72 tff(9357,plain,
% 72.54/45.72 (~v114(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9291, 449, 9356])).
% 72.54/45.72 tff(9358,plain,
% 72.54/45.72 ($false),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9295, 438, 9357, 9351])).
% 72.54/45.72 tff(9359,plain,(v100(constB58) | v90(constB57, bitIndex2) | v90(constB58, bitIndex0) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.72 tff(9360,plain,
% 72.54/45.72 (v100(constB58)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9359, 9309, 9320, 9318])).
% 72.54/45.72 tff(9361,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9362,plain,
% 72.54/45.72 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9363,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9362])).
% 72.54/45.72 tff(9364,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9363, 9361])).
% 72.54/45.72 tff(9365,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9366,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 72.54/45.72 tff(9367,plain,
% 72.54/45.72 ((~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9366, 626, 9319])).
% 72.54/45.72 tff(9368,plain,
% 72.54/45.72 (~v129(constB58, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9367, 9360])).
% 72.54/45.72 tff(9369,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9370,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9371,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 72.54/45.72 tff(9372,plain,
% 72.54/45.72 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9371, 611, 9233])).
% 72.54/45.72 tff(9373,plain,
% 72.54/45.72 (~v127(constB57, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9372, 9368])).
% 72.54/45.72 tff(9374,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9375,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9376,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 72.54/45.72 tff(9377,plain,
% 72.54/45.72 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9376, 596, 9222])).
% 72.54/45.72 tff(9378,plain,
% 72.54/45.72 (~v130(constB57, bitIndex2)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9377, 9373])).
% 72.54/45.72 tff(9379,plain,
% 72.54/45.72 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9380,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9381,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB57)) | v130(constB57, bitIndex2)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 72.54/45.72 tff(9382,plain,
% 72.54/45.72 (~v119(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9381, 582, 9378])).
% 72.54/45.72 tff(9383,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9384,plain,
% 72.54/45.72 ((v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9385,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9384])).
% 72.54/45.72 tff(9386,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9385, 9383])).
% 72.54/45.72 tff(9387,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9388,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 72.54/45.72 tff(9389,plain,
% 72.54/45.72 ((~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9388, 1020, 9318])).
% 72.54/45.72 tff(9390,plain,
% 72.54/45.72 (~v129(constB58, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9389, 9360])).
% 72.54/45.72 tff(9391,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9392,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9393,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 72.54/45.72 tff(9394,plain,
% 72.54/45.72 ((~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9393, 1005, 9233])).
% 72.54/45.72 tff(9395,plain,
% 72.54/45.72 (~v127(constB57, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9394, 9390])).
% 72.54/45.72 tff(9396,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9397,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9398,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9397, 9396])).
% 72.54/45.72 tff(9399,plain,
% 72.54/45.72 ((~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9398, 990, 9222])).
% 72.54/45.72 tff(9400,plain,
% 72.54/45.72 (~v130(constB57, bitIndex1)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9399, 9395])).
% 72.54/45.72 tff(9401,plain,
% 72.54/45.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9402,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9403,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 72.54/45.72 tff(9404,plain,
% 72.54/45.72 (~v120(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9403, 1649, 9400])).
% 72.54/45.72 tff(9405,plain,
% 72.54/45.72 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9406,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9407,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB57)) | v130(constB57, bitIndex1)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 72.54/45.72 tff(9408,plain,
% 72.54/45.72 (~v121(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9407, 1904, 9400])).
% 72.54/45.72 tff(9409,plain,
% 72.54/45.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9410,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9411,plain,
% 72.54/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9410, 9409])).
% 72.54/45.72 tff(9412,plain,
% 72.54/45.72 (~v122(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9411, 2079, 9378])).
% 72.54/45.72 tff(9413,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9414,plain,
% 72.54/45.72 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9415,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 72.54/45.72 inference(monotonicity,[status(thm)],[9414])).
% 72.54/45.72 tff(9416,plain,
% 72.54/45.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.54/45.72 inference(transitivity,[status(thm)],[9415, 9413])).
% 72.54/45.72 tff(9417,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9418,plain,
% 72.54/45.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 72.54/45.72 tff(9419,plain,
% 72.54/45.72 ((~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9418, 1443, 9320])).
% 72.54/45.72 tff(9420,plain,
% 72.54/45.72 (~v129(constB58, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9419, 9360])).
% 72.54/45.72 tff(9421,plain,
% 72.54/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9422,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9423,plain,
% 72.54/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 72.54/45.72 tff(9424,plain,
% 72.54/45.72 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9423, 1428, 9233])).
% 72.54/45.72 tff(9425,plain,
% 72.54/45.72 (~v127(constB57, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9424, 9420])).
% 72.54/45.72 tff(9426,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9427,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9428,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 72.54/45.72 tff(9429,plain,
% 72.54/45.72 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9428, 1413, 9222])).
% 72.54/45.72 tff(9430,plain,
% 72.54/45.72 (~v130(constB57, bitIndex0)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9429, 9425])).
% 72.54/45.72 tff(9431,plain,
% 72.54/45.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB57, bitIndex2) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB57, bitIndex2) | (~v123(constB57)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9432,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB57, bitIndex2) | (~v123(constB57)))),
% 72.54/45.72 inference(quant_inst,[status(thm)],[])).
% 72.54/45.72 tff(9433,plain,
% 72.54/45.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB57, bitIndex2) | (~v123(constB57))),
% 72.54/45.72 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 72.54/45.72 tff(9434,plain,
% 72.54/45.72 (~v123(constB57)),
% 72.54/45.72 inference(unit_resolution,[status(thm)],[9433, 3717, 9309])).
% 72.54/45.72 tff(9435,plain,
% 72.54/45.72 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 72.54/45.72 inference(bind,[status(th)],[])).
% 72.54/45.72 tff(9436,plain,
% 72.54/45.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.54/45.72 inference(quant_intro,[status(thm)],[9435])).
% 72.54/45.72 tff(9437,plain,
% 72.54/45.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.54/45.72 inference(rewrite,[status(thm)],[])).
% 72.54/45.72 tff(9438,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 72.54/45.73 tff(9439,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9438, 9437])).
% 72.54/45.73 tff(9440,plain,(
% 72.54/45.73 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.54/45.73 inference(skolemize,[status(sab)],[9439])).
% 72.54/45.73 tff(9441,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9440, 9436])).
% 72.54/45.73 tff(9442,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB57, bitIndex2) | (~v124(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB57, bitIndex2) | (~v124(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9443,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB57, bitIndex2) | (~v124(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9444,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB57, bitIndex2) | (~v124(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 72.54/45.73 tff(9445,plain,
% 72.54/45.73 (~v124(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9444, 9441, 9309])).
% 72.54/45.73 tff(9446,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9447,plain,
% 72.54/45.73 ((v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0)) <=> (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9448,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9447])).
% 72.54/45.73 tff(9449,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9448, 9446])).
% 72.54/45.73 tff(9450,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9451,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | v130(constB57, bitIndex0)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9450, 9449])).
% 72.54/45.73 tff(9452,plain,
% 72.54/45.73 ($false),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9451, 1396, 9445, 9434, 9430, 9412, 9408, 9404, 9382])).
% 72.54/45.73 tff(9453,plain,(v90(constB57, bitIndex2) | v90(constB58, bitIndex0) | v90(constB58, bitIndex1) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.73 tff(9454,plain,
% 72.54/45.73 (v90(constB57, bitIndex2)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9453, 9320, 9318, 9319])).
% 72.54/45.73 tff(9455,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB57)) | (~v90(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB57)) | (~v90(constB57, bitIndex2)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9456,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB57)) | (~v90(constB57, bitIndex2)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9457,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB57)) | (~v90(constB57, bitIndex2))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 72.54/45.73 tff(9458,plain,
% 72.54/45.73 (~v119(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9457, 3402, 9454])).
% 72.54/45.73 tff(9459,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v120(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v120(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9460,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v120(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9461,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v120(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 72.54/45.73 tff(9462,plain,
% 72.54/45.73 (~v120(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9461, 5411, 9454])).
% 72.54/45.73 tff(9463,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v121(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v121(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9464,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v121(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9465,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v121(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 72.54/45.73 tff(9466,plain,
% 72.54/45.73 (~v121(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9465, 1182, 9454])).
% 72.54/45.73 tff(9467,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v122(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v122(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9468,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v122(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9469,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v122(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 72.54/45.73 tff(9470,plain,
% 72.54/45.73 (~v122(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9469, 1193, 9454])).
% 72.54/45.73 tff(9471,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9472,plain,
% 72.54/45.73 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)) <=> ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9473,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9472])).
% 72.54/45.73 tff(9474,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9473, 9471])).
% 72.54/45.73 tff(9475,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9476,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 72.54/45.73 tff(9477,plain,
% 72.54/45.73 ((~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9476, 662, 9233])).
% 72.54/45.73 tff(9478,plain,
% 72.54/45.73 (v100(constB58)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9477, 9454, 9319])).
% 72.54/45.73 tff(9479,plain,
% 72.54/45.73 (~v129(constB58, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9419, 9478])).
% 72.54/45.73 tff(9480,plain,
% 72.54/45.73 (~v127(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9424, 9479])).
% 72.54/45.73 tff(9481,plain,
% 72.54/45.73 (~v130(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9429, 9480])).
% 72.54/45.73 tff(9482,plain,
% 72.54/45.73 (~v129(constB58, bitIndex2)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9367, 9478])).
% 72.54/45.73 tff(9483,plain,
% 72.54/45.73 (~v127(constB57, bitIndex2)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9372, 9482])).
% 72.54/45.73 tff(9484,plain,
% 72.54/45.73 (~v130(constB57, bitIndex2)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9377, 9483])).
% 72.54/45.73 tff(9485,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9486,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9487,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 72.54/45.73 tff(9488,plain,
% 72.54/45.73 (~v123(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9487, 917, 9484])).
% 72.54/45.73 tff(9489,plain,
% 72.54/45.73 (~v129(constB58, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9389, 9478])).
% 72.54/45.73 tff(9490,plain,
% 72.54/45.73 (~v127(constB57, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9394, 9489])).
% 72.54/45.73 tff(9491,plain,
% 72.54/45.73 (~v130(constB57, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9399, 9490])).
% 72.54/45.73 tff(9492,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9493,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB57)) | v130(constB57, bitIndex1))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9494,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB57)) | v130(constB57, bitIndex1)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 72.54/45.73 tff(9495,plain,
% 72.54/45.73 (~v124(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9494, 3556, 9491])).
% 72.54/45.73 tff(9496,plain,
% 72.54/45.73 ($false),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9451, 1396, 9495, 9488, 9481, 9470, 9466, 9462, 9458])).
% 72.54/45.73 tff(9497,plain,(v90(constB58, bitIndex0) | v90(constB58, bitIndex1) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.73 tff(9498,plain,
% 72.54/45.73 (v90(constB58, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9497, 9318, 9319])).
% 72.54/45.73 tff(9499,assumption,(v90(constB58, bitIndex0)), introduced(assumption)).
% 72.54/45.73 tff(9500,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9501,plain,
% 72.54/45.73 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))) <=> (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9502,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9501])).
% 72.54/45.73 tff(9503,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9502, 9500])).
% 72.54/45.73 tff(9504,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9505,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 72.54/45.73 tff(9506,plain,
% 72.54/45.73 (v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9505, 362, 9233])).
% 72.54/45.73 tff(9507,plain,
% 72.54/45.73 (v90(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9506, 9239, 9499])).
% 72.54/45.73 tff(9508,plain,
% 72.54/45.73 ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v120(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9212, 1480, 9309])).
% 72.54/45.73 tff(9509,plain,
% 72.54/45.73 (v120(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9508, 9507, 9328])).
% 72.54/45.73 tff(9510,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9511,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9512,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 72.54/45.73 tff(9513,plain,
% 72.54/45.73 (v118(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9512, 1494, 9509])).
% 72.54/45.73 tff(9514,plain,
% 72.54/45.73 (v117(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9348, 405, 9513])).
% 72.54/45.73 tff(9515,plain,
% 72.54/45.73 (v116(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9303, 416, 9514])).
% 72.54/45.73 tff(9516,plain,
% 72.54/45.73 ($false),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9299, 427, 9296, 9515])).
% 72.54/45.73 tff(9517,plain,(v100(constB58) | v90(constB57, bitIndex2) | (~v90(constB58, bitIndex0)) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.73 tff(9518,plain,
% 72.54/45.73 (v100(constB58)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9517, 9309, 9499, 9318])).
% 72.54/45.73 tff(9519,plain,
% 72.54/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9520,plain,
% 72.54/45.73 (((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9521,plain,
% 72.54/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9520])).
% 72.54/45.73 tff(9522,plain,
% 72.54/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9521, 9519])).
% 72.54/45.73 tff(9523,plain,
% 72.54/45.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9524,plain,
% 72.54/45.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 72.54/45.73 tff(9525,plain,
% 72.54/45.73 (v129(constB58, bitIndex0) | (~v100(constB58))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9524, 802, 9499])).
% 72.54/45.73 tff(9526,plain,
% 72.54/45.73 (v129(constB58, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9525, 9518])).
% 72.54/45.73 tff(9527,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9528,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9529,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 72.54/45.73 tff(9530,plain,
% 72.54/45.73 (v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9529, 787, 9233])).
% 72.54/45.73 tff(9531,plain,
% 72.54/45.73 (v127(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9530, 9526])).
% 72.54/45.73 tff(9532,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9533,plain,
% 72.54/45.73 ((v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0))) <=> ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9534,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9533])).
% 72.54/45.73 tff(9535,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9534, 9532])).
% 72.54/45.73 tff(9536,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9537,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 72.54/45.73 tff(9538,plain,
% 72.54/45.73 ((~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9537, 769, 9222])).
% 72.54/45.73 tff(9539,plain,
% 72.54/45.73 (v130(constB57, bitIndex0)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9538, 9531])).
% 72.54/45.73 tff(9540,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9541,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9542,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9541, 9540])).
% 72.54/45.73 tff(9543,plain,
% 72.54/45.73 (~v119(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9542, 755, 9539])).
% 72.54/45.73 tff(9544,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9545,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9546,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 72.54/45.73 tff(9547,plain,
% 72.54/45.73 (~v120(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9546, 1690, 9539])).
% 72.54/45.73 tff(9548,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | ((~v118(constB57)) | v120(constB57) | v119(constB57))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (~v118(constB57)) | v120(constB57) | v119(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9549,plain,
% 72.54/45.73 ((v120(constB57) | v119(constB57) | (~v118(constB57))) <=> ((~v118(constB57)) | v120(constB57) | v119(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9550,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB57) | v119(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | ((~v118(constB57)) | v120(constB57) | v119(constB57)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9549])).
% 72.54/45.73 tff(9551,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB57) | v119(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (~v118(constB57)) | v120(constB57) | v119(constB57))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9550, 9548])).
% 72.54/45.73 tff(9552,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB57) | v119(constB57) | (~v118(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9553,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (~v118(constB57)) | v120(constB57) | v119(constB57)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 72.54/45.73 tff(9554,plain,
% 72.54/45.73 (~v118(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9553, 3443, 9547, 9543])).
% 72.54/45.73 tff(9555,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9556,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9557,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 72.54/45.73 tff(9558,plain,
% 72.54/45.73 (v110(constB58) | (~v100(constB58))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9557, 3479, 9233])).
% 72.54/45.73 tff(9559,plain,
% 72.54/45.73 (v110(constB58)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9558, 9518])).
% 72.54/45.73 tff(9560,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9561,plain,
% 72.54/45.73 (((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58))) <=> ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9562,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9561])).
% 72.54/45.73 tff(9563,plain,
% 72.54/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9562, 9560])).
% 72.54/45.73 tff(9564,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9565,plain,
% 72.54/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 72.54/45.73 tff(9566,plain,
% 72.54/45.73 ((~v110(constB58)) | v108(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9565, 3494, 9233])).
% 72.54/45.73 tff(9567,plain,
% 72.54/45.73 (v108(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9566, 9559])).
% 72.54/45.73 tff(9568,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB57)) | v26(constB57) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9569,plain,
% 72.54/45.73 ((v26(constB57) | v112(constB57) | (~v108(constB57))) <=> ((~v108(constB57)) | v26(constB57) | v112(constB57))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9570,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB57)) | v26(constB57) | v112(constB57)))),
% 72.54/45.73 inference(monotonicity,[status(thm)],[9569])).
% 72.54/45.73 tff(9571,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57))),
% 72.54/45.73 inference(transitivity,[status(thm)],[9570, 9568])).
% 72.54/45.73 tff(9572,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9573,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57)),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 72.54/45.73 tff(9574,plain,
% 72.54/45.73 ((~v108(constB57)) | v112(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9573, 3512, 9222])).
% 72.54/45.73 tff(9575,plain,
% 72.54/45.73 (v112(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9574, 9567])).
% 72.54/45.73 tff(9576,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB57) | (~v112(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9577,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB57) | (~v112(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9578,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB57) | (~v112(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9577, 9576])).
% 72.54/45.73 tff(9579,plain,
% 72.54/45.73 (v113(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9578, 3527, 9575])).
% 72.54/45.73 tff(9580,plain,
% 72.54/45.73 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v125(VarCurr))))),
% 72.54/45.73 inference(bind,[status(th)],[])).
% 72.54/45.73 tff(9581,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 72.54/45.73 inference(quant_intro,[status(thm)],[9580])).
% 72.54/45.73 tff(9582,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9583,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 72.54/45.73 tff(9584,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 72.54/45.73 tff(9585,plain,(
% 72.54/45.73 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 72.54/45.73 inference(skolemize,[status(sab)],[9584])).
% 72.54/45.73 tff(9586,plain,
% 72.54/45.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9585, 9581])).
% 72.54/45.73 tff(9587,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB57, bitIndex2) | (~v125(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB57, bitIndex2) | (~v125(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9588,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB57, bitIndex2) | (~v125(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9589,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB57, bitIndex2) | (~v125(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 72.54/45.73 tff(9590,plain,
% 72.54/45.73 (~v125(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9589, 9586, 9309])).
% 72.54/45.73 tff(9591,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB57) | v125(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB57) | v125(constB57) | (~v113(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9592,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB57) | v125(constB57) | (~v113(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9593,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB57) | v125(constB57) | (~v113(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 72.54/45.73 tff(9594,plain,
% 72.54/45.73 (v114(constB57) | (~v113(constB57))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9593, 3541, 9590])).
% 72.54/45.73 tff(9595,plain,
% 72.54/45.73 (v114(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9594, 9579])).
% 72.54/45.73 tff(9596,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB57) | v124(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB57) | v124(constB57) | (~v114(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9597,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB57) | v124(constB57) | (~v114(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9598,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB57) | v124(constB57) | (~v114(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 72.54/45.73 tff(9599,plain,
% 72.54/45.73 (v115(constB57) | (~v114(constB57))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9598, 3570, 9445])).
% 72.54/45.73 tff(9600,plain,
% 72.54/45.73 (v115(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9599, 9595])).
% 72.54/45.73 tff(9601,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB57) | v123(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB57) | v123(constB57) | (~v115(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9602,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB57) | v123(constB57) | (~v115(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9603,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB57) | v123(constB57) | (~v115(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9602, 9601])).
% 72.54/45.73 tff(9604,plain,
% 72.54/45.73 (v116(constB57) | (~v115(constB57))),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9603, 3584, 9434])).
% 72.54/45.73 tff(9605,plain,
% 72.54/45.73 (v116(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9604, 9600])).
% 72.54/45.73 tff(9606,plain,
% 72.54/45.73 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9607,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9608,plain,
% 72.54/45.73 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 72.54/45.73 tff(9609,plain,
% 72.54/45.73 (~v122(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9608, 2182, 9539])).
% 72.54/45.73 tff(9610,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB57) | v122(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB57) | v122(constB57) | (~v116(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9611,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB57) | v122(constB57) | (~v116(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9612,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB57) | v122(constB57) | (~v116(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 72.54/45.73 tff(9613,plain,
% 72.54/45.73 (v117(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9612, 3599, 9609, 9605])).
% 72.54/45.73 tff(9614,plain,
% 72.54/45.73 (~v129(constB58, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9389, 9518])).
% 72.54/45.73 tff(9615,plain,
% 72.54/45.73 (~v127(constB57, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9394, 9614])).
% 72.54/45.73 tff(9616,plain,
% 72.54/45.73 (~v130(constB57, bitIndex1)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9399, 9615])).
% 72.54/45.73 tff(9617,plain,
% 72.54/45.73 (~v121(constB57)),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9407, 1904, 9616])).
% 72.54/45.73 tff(9618,plain,
% 72.54/45.73 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB57) | v121(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB57) | v121(constB57) | (~v117(constB57)))),
% 72.54/45.73 inference(rewrite,[status(thm)],[])).
% 72.54/45.73 tff(9619,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB57) | v121(constB57) | (~v117(constB57)))),
% 72.54/45.73 inference(quant_inst,[status(thm)],[])).
% 72.54/45.73 tff(9620,plain,
% 72.54/45.73 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB57) | v121(constB57) | (~v117(constB57))),
% 72.54/45.73 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 72.54/45.73 tff(9621,plain,
% 72.54/45.73 ($false),
% 72.54/45.73 inference(unit_resolution,[status(thm)],[9620, 3465, 9617, 9613, 9554])).
% 72.54/45.73 tff(9622,plain,(v90(constB57, bitIndex2) | (~v90(constB58, bitIndex0)) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.74 tff(9623,plain,
% 72.54/45.74 ($false),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9622, 9498, 9318, 9309])).
% 72.54/45.74 tff(9624,plain,(v90(constB58, bitIndex1) | v90(constB57, bitIndex2) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.74 tff(9625,plain,
% 72.54/45.74 (v90(constB58, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9624, 9317, 9309])).
% 72.54/45.74 tff(9626,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9627,plain,
% 72.54/45.74 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))) <=> (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9628,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9627])).
% 72.54/45.74 tff(9629,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9628, 9626])).
% 72.54/45.74 tff(9630,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9631,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 72.54/45.74 tff(9632,plain,
% 72.54/45.74 (v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9631, 341, 9233])).
% 72.54/45.74 tff(9633,plain,
% 72.54/45.74 (v90(constB57, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9632, 9625, 9239])).
% 72.54/45.74 tff(9634,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB57) | (~v122(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB57) | (~v122(constB57)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9635,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB57) | (~v122(constB57)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9636,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB57) | (~v122(constB57))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 72.54/45.74 tff(9637,plain,
% 72.54/45.74 (~v122(constB57)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9636, 1997, 9300])).
% 72.54/45.74 tff(9638,plain,
% 72.54/45.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9639,plain,
% 72.54/45.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9640,plain,
% 72.54/45.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 72.54/45.74 tff(9641,plain,
% 72.54/45.74 ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v122(constB57)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9640, 1986, 9309])).
% 72.54/45.74 tff(9642,plain,
% 72.54/45.74 (~v90(constB57, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9641, 9633, 9637])).
% 72.54/45.74 tff(9643,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9644,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9645,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 72.54/45.74 tff(9646,plain,
% 72.54/45.74 (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v121(constB57)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9645, 1734, 9309])).
% 72.54/45.74 tff(9647,plain,
% 72.54/45.74 ($false),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9646, 9642, 9633, 9308])).
% 72.54/45.74 tff(9648,plain,(v100(constB58) | v90(constB57, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.74 tff(9649,plain,
% 72.54/45.74 (v100(constB58)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9648, 9206])).
% 72.54/45.74 tff(9650,plain,
% 72.54/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9651,plain,
% 72.54/45.74 (((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9652,plain,
% 72.54/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9651])).
% 72.54/45.74 tff(9653,plain,
% 72.54/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9652, 9650])).
% 72.54/45.74 tff(9654,plain,
% 72.54/45.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9655,plain,
% 72.54/45.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 72.54/45.74 tff(9656,plain,
% 72.54/45.74 ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9655, 1304, 9649])).
% 72.54/45.74 tff(9657,plain,
% 72.54/45.74 (~v90(constB58, bitIndex2)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9656, 9238])).
% 72.54/45.74 tff(9658,plain,
% 72.54/45.74 ((~v1(constB59)) <=> (~v1(constB59))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9659,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 72.54/45.74 tff(9660,plain,
% 72.54/45.74 (~v1(constB59)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 72.54/45.74 tff(9661,plain,
% 72.54/45.74 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9662,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 72.54/45.74 tff(9663,plain,
% 72.54/45.74 (nextState(constB58, constB59)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 72.54/45.74 tff(9664,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9665,plain,
% 72.54/45.74 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9666,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9665])).
% 72.54/45.74 tff(9667,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9666, 9664])).
% 72.54/45.74 tff(9668,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9669,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 72.54/45.74 tff(9670,plain,
% 72.54/45.74 (~v101(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9669, 288, 9663, 9660])).
% 72.54/45.74 tff(9671,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9672,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9673,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 72.54/45.74 tff(9674,plain,
% 72.54/45.74 (v101(constB59) | (~v100(constB59))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9673, 305, 9663])).
% 72.54/45.74 tff(9675,plain,
% 72.54/45.74 (~v100(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9674, 9670])).
% 72.54/45.74 tff(9676,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9677,plain,
% 72.54/45.74 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9678,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9677])).
% 72.54/45.74 tff(9679,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9678, 9676])).
% 72.54/45.74 tff(9680,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9681,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 72.54/45.74 tff(9682,plain,
% 72.54/45.74 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9681, 320, 9663])).
% 72.54/45.74 tff(9683,plain,
% 72.54/45.74 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9682, 9675])).
% 72.54/45.74 tff(9684,plain,
% 72.54/45.74 (~v90(constB59, bitIndex2)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9683, 9657])).
% 72.54/45.74 tff(9685,plain,
% 72.54/45.74 (v130(constB57, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9403, 1649, 9214])).
% 72.54/45.74 tff(9686,plain,
% 72.54/45.74 (v127(constB57, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9399, 9685])).
% 72.54/45.74 tff(9687,plain,
% 72.54/45.74 (v129(constB58, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9394, 9686])).
% 72.54/45.74 tff(9688,plain,
% 72.54/45.74 (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9388, 1020, 9649])).
% 72.54/45.74 tff(9689,plain,
% 72.54/45.74 (v90(constB58, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9688, 9687])).
% 72.54/45.74 tff(9690,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9691,plain,
% 72.54/45.74 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9692,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9691])).
% 72.54/45.74 tff(9693,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9692, 9690])).
% 72.54/45.74 tff(9694,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9695,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 72.54/45.74 tff(9696,plain,
% 72.54/45.74 ((~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9695, 1038, 9663])).
% 72.54/45.74 tff(9697,plain,
% 72.54/45.74 ((~v90(constB58, bitIndex1)) | v90(constB59, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9696, 9675])).
% 72.54/45.74 tff(9698,plain,
% 72.54/45.74 (v90(constB59, bitIndex1)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9697, 9689])).
% 72.54/45.74 tff(9699,plain,
% 72.54/45.74 (~v130(constB57, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9546, 1690, 9214])).
% 72.54/45.74 tff(9700,plain,
% 72.54/45.74 (~v127(constB57, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9538, 9699])).
% 72.54/45.74 tff(9701,plain,
% 72.54/45.74 (~v129(constB58, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9530, 9700])).
% 72.54/45.74 tff(9702,plain,
% 72.54/45.74 ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9524, 802, 9649])).
% 72.54/45.74 tff(9703,plain,
% 72.54/45.74 (~v90(constB58, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9702, 9701])).
% 72.54/45.74 tff(9704,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9705,plain,
% 72.54/45.74 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9706,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9705])).
% 72.54/45.74 tff(9707,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9706, 9704])).
% 72.54/45.74 tff(9708,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9709,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9708, 9707])).
% 72.54/45.74 tff(9710,plain,
% 72.54/45.74 (v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9709, 362, 9663])).
% 72.54/45.74 tff(9711,plain,
% 72.54/45.74 (v90(constB58, bitIndex0) | (~v90(constB59, bitIndex0))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9710, 9675])).
% 72.54/45.74 tff(9712,plain,
% 72.54/45.74 (~v90(constB59, bitIndex0)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9711, 9703])).
% 72.54/45.74 tff(9713,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9714,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9715,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 72.54/45.74 tff(9716,plain,
% 72.54/45.74 (v121(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9715, 1734, 9712, 9698, 9684])).
% 72.54/45.74 tff(9717,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB59) | (~v121(constB59)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB59) | (~v121(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9718,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB59) | (~v121(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9719,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB59) | (~v121(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 72.54/45.74 tff(9720,plain,
% 72.54/45.74 (v117(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9719, 1775, 9716])).
% 72.54/45.74 tff(9721,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9722,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9723,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 72.54/45.74 tff(9724,plain,
% 72.54/45.74 (v116(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9723, 416, 9720])).
% 72.54/45.74 tff(9725,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9726,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9727,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 72.54/45.74 tff(9728,plain,
% 72.54/45.74 (v115(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9727, 427, 9724])).
% 72.54/45.74 tff(9729,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9730,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9731,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 72.54/45.74 tff(9732,plain,
% 72.54/45.74 (v114(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9731, 438, 9728])).
% 72.54/45.74 tff(9733,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9734,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9735,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 72.54/45.74 tff(9736,plain,
% 72.54/45.74 (v113(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9735, 449, 9732])).
% 72.54/45.74 tff(9737,assumption,(~v108(constB59)), introduced(assumption)).
% 72.54/45.74 tff(9738,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9739,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9740,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 72.54/45.74 tff(9741,plain,
% 72.54/45.74 (~v112(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9740, 475, 9737])).
% 72.54/45.74 tff(9742,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB59) | (~v26(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB59) | (~v26(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9743,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB59) | (~v26(constB59)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9744,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB59) | (~v26(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 72.54/45.74 tff(9745,plain,
% 72.54/45.74 (~v26(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9744, 1807, 9737])).
% 72.54/45.74 tff(9746,assumption,(v113(constB59)), introduced(assumption)).
% 72.54/45.74 tff(9747,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9748,plain,
% 72.54/45.74 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9749,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9748])).
% 72.54/45.74 tff(9750,plain,
% 72.54/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9749, 9747])).
% 72.54/45.74 tff(9751,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9752,plain,
% 72.54/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 72.54/45.74 tff(9753,plain,
% 72.54/45.74 (v26(constB59) | v112(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9752, 463, 9746])).
% 72.54/45.74 tff(9754,plain,
% 72.54/45.74 ($false),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9753, 9745, 9741])).
% 72.54/45.74 tff(9755,plain,(v108(constB59) | (~v113(constB59))), inference(lemma,lemma(discharge,[]))).
% 72.54/45.74 tff(9756,plain,
% 72.54/45.74 (v108(constB59)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9755, 9736])).
% 72.54/45.74 tff(9757,plain,
% 72.54/45.74 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9758,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 72.54/45.74 tff(9759,plain,
% 72.54/45.74 (nextState(constB59, constB60)),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 72.54/45.74 tff(9760,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9761,plain,
% 72.54/45.74 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9762,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9761])).
% 72.54/45.74 tff(9763,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9762, 9760])).
% 72.54/45.74 tff(9764,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9765,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 72.54/45.74 tff(9766,plain,
% 72.54/45.74 (v110(constB60) | (~v108(constB59))),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9765, 492, 9759])).
% 72.54/45.74 tff(9767,plain,
% 72.54/45.74 (v110(constB60)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9766, 9756])).
% 72.54/45.74 tff(9768,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9769,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 72.54/45.74 inference(quant_inst,[status(thm)],[])).
% 72.54/45.74 tff(9770,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 72.54/45.74 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 72.54/45.74 tff(9771,plain,
% 72.54/45.74 (~v104(constB60)),
% 72.54/45.74 inference(unit_resolution,[status(thm)],[9770, 510, 9759, 9660])).
% 72.54/45.74 tff(9772,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9773,plain,
% 72.54/45.74 (((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 72.54/45.74 inference(rewrite,[status(thm)],[])).
% 72.54/45.74 tff(9774,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)))),
% 72.54/45.74 inference(monotonicity,[status(thm)],[9773])).
% 72.54/45.74 tff(9775,plain,
% 72.54/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 72.54/45.74 inference(transitivity,[status(thm)],[9774, 9772])).
% 72.54/45.74 tff(9776,plain,
% 72.54/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9777,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 72.54/45.75 tff(9778,plain,
% 72.54/45.75 (v104(constB60) | v102(constB60)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9777, 524, 9759])).
% 72.54/45.75 tff(9779,plain,
% 72.54/45.75 (v102(constB60)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9778, 9771])).
% 72.54/45.75 tff(9780,plain,
% 72.54/45.75 (v1(constB60) <=> v1(constB60)),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9781,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 72.54/45.75 tff(9782,plain,
% 72.54/45.75 (v1(constB60)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 72.54/45.75 tff(9783,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9784,plain,
% 72.54/45.75 (((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))) <=> ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9785,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9784])).
% 72.54/45.75 tff(9786,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9785, 9783])).
% 72.54/45.75 tff(9787,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9788,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 72.54/45.75 tff(9789,plain,
% 72.54/45.75 (v101(constB60) | (~v102(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9788, 545, 9759, 9782])).
% 72.54/45.75 tff(9790,plain,
% 72.54/45.75 (v101(constB60)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9789, 9779])).
% 72.54/45.75 tff(9791,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9792,plain,
% 72.54/45.75 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9793,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9792])).
% 72.54/45.75 tff(9794,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9793, 9791])).
% 72.54/45.75 tff(9795,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9796,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 72.54/45.75 tff(9797,plain,
% 72.54/45.75 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9796, 563, 9759])).
% 72.54/45.75 tff(9798,plain,
% 72.54/45.75 (v100(constB60) | (~v110(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9797, 9790])).
% 72.54/45.75 tff(9799,plain,
% 72.54/45.75 (v100(constB60)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9798, 9767])).
% 72.54/45.75 tff(9800,plain,
% 72.54/45.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9801,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9802,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9801, 9800])).
% 72.54/45.75 tff(9803,plain,
% 72.54/45.75 (~v130(constB59, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9802, 1748, 9716])).
% 72.54/45.75 tff(9804,assumption,(v26(constB59)), introduced(assumption)).
% 72.54/45.75 tff(9805,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9806,plain,
% 72.54/45.75 ($false),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9805, 26, 9804])).
% 72.54/45.75 tff(9807,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.75 tff(9808,plain,
% 72.54/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9809,plain,
% 72.54/45.75 ((v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2))) <=> ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9810,plain,
% 72.54/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9809])).
% 72.54/45.75 tff(9811,plain,
% 72.54/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9810, 9808])).
% 72.54/45.75 tff(9812,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9813,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 72.54/45.75 tff(9814,plain,
% 72.54/45.75 ((~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9813, 1271, 9807])).
% 72.54/45.75 tff(9815,plain,
% 72.54/45.75 (~v127(constB59, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9814, 9803])).
% 72.54/45.75 tff(9816,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9817,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9818,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 72.54/45.75 tff(9819,plain,
% 72.54/45.75 (v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9818, 1289, 9759])).
% 72.54/45.75 tff(9820,plain,
% 72.54/45.75 (~v129(constB60, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9819, 9815])).
% 72.54/45.75 tff(9821,plain,
% 72.54/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9822,plain,
% 72.54/45.75 (((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9823,plain,
% 72.54/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9822])).
% 72.54/45.75 tff(9824,plain,
% 72.54/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9823, 9821])).
% 72.54/45.75 tff(9825,plain,
% 72.54/45.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9826,plain,
% 72.54/45.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 72.54/45.75 tff(9827,plain,
% 72.54/45.75 ((~v90(constB60, bitIndex2)) | (~v100(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9826, 1304, 9820])).
% 72.54/45.75 tff(9828,plain,
% 72.54/45.75 (~v90(constB60, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9827, 9799])).
% 72.54/45.75 tff(9829,plain,
% 72.54/45.75 ((~v1(constB61)) <=> (~v1(constB61))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9830,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 72.54/45.75 tff(9831,plain,
% 72.54/45.75 (~v1(constB61)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 72.54/45.75 tff(9832,plain,
% 72.54/45.75 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9833,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 72.54/45.75 tff(9834,plain,
% 72.54/45.75 (nextState(constB60, constB61)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 72.54/45.75 tff(9835,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9836,plain,
% 72.54/45.75 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9837,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9836])).
% 72.54/45.75 tff(9838,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9837, 9835])).
% 72.54/45.75 tff(9839,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9840,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9839, 9838])).
% 72.54/45.75 tff(9841,plain,
% 72.54/45.75 (~v101(constB61)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9840, 288, 9834, 9831])).
% 72.54/45.75 tff(9842,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9843,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9844,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 72.54/45.75 tff(9845,plain,
% 72.54/45.75 (v101(constB61) | (~v100(constB61))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9844, 305, 9834])).
% 72.54/45.75 tff(9846,plain,
% 72.54/45.75 (~v100(constB61)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9845, 9841])).
% 72.54/45.75 tff(9847,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9848,plain,
% 72.54/45.75 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9849,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9848])).
% 72.54/45.75 tff(9850,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9849, 9847])).
% 72.54/45.75 tff(9851,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9852,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 72.54/45.75 tff(9853,plain,
% 72.54/45.75 (v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9852, 320, 9834])).
% 72.54/45.75 tff(9854,plain,
% 72.54/45.75 (v90(constB60, bitIndex2) | (~v90(constB61, bitIndex2))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9853, 9846])).
% 72.54/45.75 tff(9855,plain,
% 72.54/45.75 (~v90(constB61, bitIndex2)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9854, 9828])).
% 72.54/45.75 tff(9856,plain,
% 72.54/45.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9857,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9858,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 72.54/45.75 tff(9859,plain,
% 72.54/45.75 (v130(constB59, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9858, 1904, 9716])).
% 72.54/45.75 tff(9860,plain,
% 72.54/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9861,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9862,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 72.54/45.75 tff(9863,plain,
% 72.54/45.75 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9862, 990, 9807])).
% 72.54/45.75 tff(9864,plain,
% 72.54/45.75 (v127(constB59, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9863, 9859])).
% 72.54/45.75 tff(9865,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9866,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9867,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 72.54/45.75 tff(9868,plain,
% 72.54/45.75 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9867, 1005, 9759])).
% 72.54/45.75 tff(9869,plain,
% 72.54/45.75 (v129(constB60, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9868, 9864])).
% 72.54/45.75 tff(9870,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9871,plain,
% 72.54/45.75 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9872,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9871])).
% 72.54/45.75 tff(9873,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9872, 9870])).
% 72.54/45.75 tff(9874,plain,
% 72.54/45.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9875,plain,
% 72.54/45.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 72.54/45.75 tff(9876,plain,
% 72.54/45.75 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9875, 1020, 9869])).
% 72.54/45.75 tff(9877,plain,
% 72.54/45.75 (v90(constB60, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9876, 9799])).
% 72.54/45.75 tff(9878,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9879,plain,
% 72.54/45.75 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9880,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9879])).
% 72.54/45.75 tff(9881,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9880, 9878])).
% 72.54/45.75 tff(9882,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9883,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 72.54/45.75 tff(9884,plain,
% 72.54/45.75 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9883, 1038, 9834])).
% 72.54/45.75 tff(9885,plain,
% 72.54/45.75 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9884, 9846])).
% 72.54/45.75 tff(9886,plain,
% 72.54/45.75 (v90(constB61, bitIndex1)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9885, 9877])).
% 72.54/45.75 tff(9887,plain,
% 72.54/45.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9888,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9889,plain,
% 72.54/45.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9888, 9887])).
% 72.54/45.75 tff(9890,plain,
% 72.54/45.75 (v130(constB59, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9889, 1945, 9716])).
% 72.54/45.75 tff(9891,plain,
% 72.54/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9892,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9893,plain,
% 72.54/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9892, 9891])).
% 72.54/45.75 tff(9894,plain,
% 72.54/45.75 ((~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9893, 1413, 9807])).
% 72.54/45.75 tff(9895,plain,
% 72.54/45.75 (v127(constB59, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9894, 9890])).
% 72.54/45.75 tff(9896,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9897,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9898,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9897, 9896])).
% 72.54/45.75 tff(9899,plain,
% 72.54/45.75 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9898, 1428, 9759])).
% 72.54/45.75 tff(9900,plain,
% 72.54/45.75 (v129(constB60, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9899, 9895])).
% 72.54/45.75 tff(9901,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9902,plain,
% 72.54/45.75 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9903,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9902])).
% 72.54/45.75 tff(9904,plain,
% 72.54/45.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9903, 9901])).
% 72.54/45.75 tff(9905,plain,
% 72.54/45.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9906,plain,
% 72.54/45.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 72.54/45.75 inference(modus_ponens,[status(thm)],[9905, 9904])).
% 72.54/45.75 tff(9907,plain,
% 72.54/45.75 (v90(constB60, bitIndex0) | (~v100(constB60))),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9906, 1443, 9900])).
% 72.54/45.75 tff(9908,plain,
% 72.54/45.75 (v90(constB60, bitIndex0)),
% 72.54/45.75 inference(unit_resolution,[status(thm)],[9907, 9799])).
% 72.54/45.75 tff(9909,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9910,plain,
% 72.54/45.75 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 72.54/45.75 inference(rewrite,[status(thm)],[])).
% 72.54/45.75 tff(9911,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)))),
% 72.54/45.75 inference(monotonicity,[status(thm)],[9910])).
% 72.54/45.75 tff(9912,plain,
% 72.54/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 72.54/45.75 inference(transitivity,[status(thm)],[9911, 9909])).
% 72.54/45.75 tff(9913,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))),
% 72.54/45.75 inference(quant_inst,[status(thm)],[])).
% 72.54/45.75 tff(9914,plain,
% 72.54/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 72.54/45.76 tff(9915,plain,
% 72.54/45.76 ((~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9914, 1461, 9834])).
% 72.54/45.76 tff(9916,plain,
% 72.54/45.76 ((~v90(constB60, bitIndex0)) | v90(constB61, bitIndex0)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9915, 9846])).
% 72.54/45.76 tff(9917,plain,
% 72.54/45.76 (v90(constB61, bitIndex0)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9916, 9908])).
% 72.54/45.76 tff(9918,plain,
% 72.54/45.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9919,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9920,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 72.54/45.76 tff(9921,plain,
% 72.54/45.76 (v122(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9920, 1986, 9917, 9886, 9855])).
% 72.54/45.76 tff(9922,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9923,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9924,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9923, 9922])).
% 72.54/45.76 tff(9925,plain,
% 72.54/45.76 (v116(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9924, 1997, 9921])).
% 72.54/45.76 tff(9926,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9927,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9928,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 72.54/45.76 tff(9929,plain,
% 72.54/45.76 (v115(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9928, 427, 9925])).
% 72.54/45.76 tff(9930,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9931,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9932,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 72.54/45.76 tff(9933,plain,
% 72.54/45.76 (v114(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9932, 438, 9929])).
% 72.54/45.76 tff(9934,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9935,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9936,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9935, 9934])).
% 72.54/45.76 tff(9937,plain,
% 72.54/45.76 (v113(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9936, 449, 9933])).
% 72.54/45.76 tff(9938,assumption,(v26(constB61)), introduced(assumption)).
% 72.54/45.76 tff(9939,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9940,plain,
% 72.54/45.76 ($false),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9939, 26, 9938])).
% 72.54/45.76 tff(9941,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.76 tff(9942,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9943,plain,
% 72.54/45.76 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9944,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[9943])).
% 72.54/45.76 tff(9945,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[9944, 9942])).
% 72.54/45.76 tff(9946,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9947,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 72.54/45.76 tff(9948,plain,
% 72.54/45.76 (v112(constB61) | (~v113(constB61))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9947, 463, 9941])).
% 72.54/45.76 tff(9949,plain,
% 72.54/45.76 (v112(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9948, 9937])).
% 72.54/45.76 tff(9950,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9951,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9952,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 72.54/45.76 tff(9953,plain,
% 72.54/45.76 (v108(constB61)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9952, 475, 9949])).
% 72.54/45.76 tff(9954,plain,
% 72.54/45.76 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9955,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 72.54/45.76 tff(9956,plain,
% 72.54/45.76 (nextState(constB61, constB62)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9955, 9954])).
% 72.54/45.76 tff(9957,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9958,plain,
% 72.54/45.76 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9959,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[9958])).
% 72.54/45.76 tff(9960,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[9959, 9957])).
% 72.54/45.76 tff(9961,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9962,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 72.54/45.76 tff(9963,plain,
% 72.54/45.76 (v110(constB62) | (~v108(constB61))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9962, 492, 9956])).
% 72.54/45.76 tff(9964,plain,
% 72.54/45.76 (v110(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9963, 9953])).
% 72.54/45.76 tff(9965,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9966,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9967,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 72.54/45.76 tff(9968,plain,
% 72.54/45.76 (~v104(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9967, 510, 9956, 9831])).
% 72.54/45.76 tff(9969,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9970,plain,
% 72.54/45.76 (((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9971,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[9970])).
% 72.54/45.76 tff(9972,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 72.54/45.76 inference(transitivity,[status(thm)],[9971, 9969])).
% 72.54/45.76 tff(9973,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9974,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 72.54/45.76 tff(9975,plain,
% 72.54/45.76 (v104(constB62) | v102(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9974, 524, 9956])).
% 72.54/45.76 tff(9976,plain,
% 72.54/45.76 (v102(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9975, 9968])).
% 72.54/45.76 tff(9977,plain,
% 72.54/45.76 (v1(constB62) <=> v1(constB62)),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9978,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 72.54/45.76 tff(9979,plain,
% 72.54/45.76 (v1(constB62)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 72.54/45.76 tff(9980,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9981,plain,
% 72.54/45.76 (((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))) <=> ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9982,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[9981])).
% 72.54/45.76 tff(9983,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[9982, 9980])).
% 72.54/45.76 tff(9984,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9985,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 72.54/45.76 tff(9986,plain,
% 72.54/45.76 (v101(constB62) | (~v102(constB62))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9985, 545, 9956, 9979])).
% 72.54/45.76 tff(9987,plain,
% 72.54/45.76 (v101(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9986, 9976])).
% 72.54/45.76 tff(9988,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9989,plain,
% 72.54/45.76 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9990,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[9989])).
% 72.54/45.76 tff(9991,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[9990, 9988])).
% 72.54/45.76 tff(9992,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9993,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 72.54/45.76 tff(9994,plain,
% 72.54/45.76 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9993, 563, 9956])).
% 72.54/45.76 tff(9995,plain,
% 72.54/45.76 (v100(constB62) | (~v110(constB62))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9994, 9987])).
% 72.54/45.76 tff(9996,plain,
% 72.54/45.76 (v100(constB62)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9995, 9964])).
% 72.54/45.76 tff(9997,plain,
% 72.54/45.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(9998,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(9999,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 72.54/45.76 tff(10000,plain,
% 72.54/45.76 (v130(constB61, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[9999, 2079, 9921])).
% 72.54/45.76 tff(10001,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10002,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10003,plain,
% 72.54/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 72.54/45.76 tff(10004,plain,
% 72.54/45.76 ((~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10003, 596, 9941])).
% 72.54/45.76 tff(10005,plain,
% 72.54/45.76 (v127(constB61, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10004, 10000])).
% 72.54/45.76 tff(10006,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10007,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10008,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 72.54/45.76 tff(10009,plain,
% 72.54/45.76 ((~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10008, 611, 9956])).
% 72.54/45.76 tff(10010,plain,
% 72.54/45.76 (v129(constB62, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10009, 10005])).
% 72.54/45.76 tff(10011,plain,
% 72.54/45.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10012,plain,
% 72.54/45.76 ((v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10013,plain,
% 72.54/45.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[10012])).
% 72.54/45.76 tff(10014,plain,
% 72.54/45.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[10013, 10011])).
% 72.54/45.76 tff(10015,plain,
% 72.54/45.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10016,plain,
% 72.54/45.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 72.54/45.76 tff(10017,plain,
% 72.54/45.76 (v90(constB62, bitIndex2) | (~v100(constB62))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10016, 626, 10010])).
% 72.54/45.76 tff(10018,plain,
% 72.54/45.76 (v90(constB62, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10017, 9996])).
% 72.54/45.76 tff(10019,plain,
% 72.54/45.76 ((~v1(constB63)) <=> (~v1(constB63))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10020,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 72.54/45.76 tff(10021,plain,
% 72.54/45.76 (~v1(constB63)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10020, 10019])).
% 72.54/45.76 tff(10022,plain,
% 72.54/45.76 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10023,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 72.54/45.76 tff(10024,plain,
% 72.54/45.76 (nextState(constB62, constB63)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 72.54/45.76 tff(10025,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10026,plain,
% 72.54/45.76 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10027,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[10026])).
% 72.54/45.76 tff(10028,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.54/45.76 inference(transitivity,[status(thm)],[10027, 10025])).
% 72.54/45.76 tff(10029,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10030,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 72.54/45.76 tff(10031,plain,
% 72.54/45.76 (~v101(constB63)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10030, 288, 10024, 10021])).
% 72.54/45.76 tff(10032,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10033,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10034,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10033, 10032])).
% 72.54/45.76 tff(10035,plain,
% 72.54/45.76 (v101(constB63) | (~v100(constB63))),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10034, 305, 10024])).
% 72.54/45.76 tff(10036,plain,
% 72.54/45.76 (~v100(constB63)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10035, 10031])).
% 72.54/45.76 tff(10037,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10038,plain,
% 72.54/45.76 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10039,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)))),
% 72.54/45.76 inference(monotonicity,[status(thm)],[10038])).
% 72.54/45.76 tff(10040,plain,
% 72.54/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 72.54/45.76 inference(transitivity,[status(thm)],[10039, 10037])).
% 72.54/45.76 tff(10041,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10042,plain,
% 72.54/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 72.54/45.76 tff(10043,plain,
% 72.54/45.76 ((~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10042, 662, 10024])).
% 72.54/45.76 tff(10044,plain,
% 72.54/45.76 ((~v90(constB62, bitIndex2)) | v90(constB63, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10043, 10036])).
% 72.54/45.76 tff(10045,plain,
% 72.54/45.76 (v90(constB63, bitIndex2)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10044, 10018])).
% 72.54/45.76 tff(10046,plain,
% 72.54/45.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10047,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.54/45.76 inference(quant_inst,[status(thm)],[])).
% 72.54/45.76 tff(10048,plain,
% 72.54/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1))),
% 72.54/45.76 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 72.54/45.76 tff(10049,plain,
% 72.54/45.76 (~v130(constB61, bitIndex1)),
% 72.54/45.76 inference(unit_resolution,[status(thm)],[10048, 2138, 9921])).
% 72.54/45.76 tff(10050,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10051,plain,
% 72.54/45.76 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.54/45.76 inference(rewrite,[status(thm)],[])).
% 72.54/45.76 tff(10052,plain,
% 72.54/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 72.61/45.76 inference(monotonicity,[status(thm)],[10051])).
% 72.61/45.76 tff(10053,plain,
% 72.61/45.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.61/45.76 inference(transitivity,[status(thm)],[10052, 10050])).
% 72.61/45.76 tff(10054,plain,
% 72.61/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 72.61/45.76 inference(quant_inst,[status(thm)],[])).
% 72.61/45.76 tff(10055,plain,
% 72.61/45.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 72.61/45.76 inference(modus_ponens,[status(thm)],[10054, 10053])).
% 72.61/45.76 tff(10056,plain,
% 72.61/45.76 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 72.61/45.76 inference(unit_resolution,[status(thm)],[10055, 695, 9941])).
% 72.61/45.76 tff(10057,plain,
% 72.61/45.76 (~v127(constB61, bitIndex1)),
% 72.61/45.76 inference(unit_resolution,[status(thm)],[10056, 10049])).
% 72.61/45.76 tff(10058,plain,
% 72.61/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 72.61/45.76 inference(rewrite,[status(thm)],[])).
% 72.61/45.76 tff(10059,plain,
% 72.61/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 72.61/45.76 inference(quant_inst,[status(thm)],[])).
% 72.61/45.76 tff(10060,plain,
% 72.61/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 72.61/45.76 inference(modus_ponens,[status(thm)],[10059, 10058])).
% 72.61/45.76 tff(10061,plain,
% 72.61/45.76 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 72.61/45.76 inference(unit_resolution,[status(thm)],[10060, 713, 9956])).
% 72.61/45.76 tff(10062,plain,
% 72.61/45.76 (~v129(constB62, bitIndex1)),
% 72.61/45.76 inference(unit_resolution,[status(thm)],[10061, 10057])).
% 72.61/45.76 tff(10063,plain,
% 72.61/45.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.61/45.76 inference(rewrite,[status(thm)],[])).
% 72.61/45.76 tff(10064,plain,
% 72.61/45.76 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.61/45.76 inference(rewrite,[status(thm)],[])).
% 72.61/45.76 tff(10065,plain,
% 72.61/45.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 72.61/45.76 inference(monotonicity,[status(thm)],[10064])).
% 72.61/45.76 tff(10066,plain,
% 72.61/45.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.61/45.77 inference(transitivity,[status(thm)],[10065, 10063])).
% 72.61/45.77 tff(10067,plain,
% 72.61/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 72.61/45.77 inference(quant_inst,[status(thm)],[])).
% 72.61/45.77 tff(10068,plain,
% 72.61/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 72.61/45.77 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 72.61/45.77 tff(10069,plain,
% 72.61/45.77 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 72.61/45.77 inference(unit_resolution,[status(thm)],[10068, 728, 10062])).
% 72.61/45.77 tff(10070,plain,
% 72.61/45.77 (~v90(constB62, bitIndex1)),
% 72.61/45.77 inference(unit_resolution,[status(thm)],[10069, 9996])).
% 72.61/45.77 tff(10071,plain,
% 72.61/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.61/45.77 inference(rewrite,[status(thm)],[])).
% 72.61/45.77 tff(10072,plain,
% 72.61/45.77 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.61/45.77 inference(rewrite,[status(thm)],[])).
% 72.61/45.77 tff(10073,plain,
% 72.61/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 72.61/45.77 inference(monotonicity,[status(thm)],[10072])).
% 72.61/45.77 tff(10074,plain,
% 72.61/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.61/45.77 inference(transitivity,[status(thm)],[10073, 10071])).
% 72.61/45.77 tff(10075,plain,
% 72.61/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.61/45.77 inference(quant_inst,[status(thm)],[])).
% 72.61/45.77 tff(10076,plain,
% 72.61/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 72.61/45.77 inference(modus_ponens,[status(thm)],[10075, 10074])).
% 72.61/45.77 tff(10077,plain,
% 72.61/45.77 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 72.61/45.77 inference(unit_resolution,[status(thm)],[10076, 341, 10024])).
% 72.61/45.77 tff(10078,plain,
% 72.61/45.77 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 72.61/45.77 inference(unit_resolution,[status(thm)],[10077, 10036])).
% 72.61/45.77 tff(10079,plain,
% 72.61/45.77 (~v90(constB63, bitIndex1)),
% 72.61/45.77 inference(unit_resolution,[status(thm)],[10078, 10070])).
% 72.62/45.77 tff(10080,plain,
% 72.62/45.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10081,plain,
% 72.62/45.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10082,plain,
% 72.62/45.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 72.62/45.77 tff(10083,plain,
% 72.62/45.77 (~v130(constB61, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10082, 2182, 9921])).
% 72.62/45.77 tff(10084,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10085,plain,
% 72.62/45.77 ((v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0))) <=> ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10086,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10085])).
% 72.62/45.77 tff(10087,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10086, 10084])).
% 72.62/45.77 tff(10088,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10089,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 72.62/45.77 tff(10090,plain,
% 72.62/45.77 ((~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10089, 769, 9941])).
% 72.62/45.77 tff(10091,plain,
% 72.62/45.77 (~v127(constB61, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10090, 10083])).
% 72.62/45.77 tff(10092,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10093,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10094,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10093, 10092])).
% 72.62/45.77 tff(10095,plain,
% 72.62/45.77 (v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10094, 787, 9956])).
% 72.62/45.77 tff(10096,plain,
% 72.62/45.77 (~v129(constB62, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10095, 10091])).
% 72.62/45.77 tff(10097,plain,
% 72.62/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10098,plain,
% 72.62/45.77 (((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10099,plain,
% 72.62/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10098])).
% 72.62/45.77 tff(10100,plain,
% 72.62/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10099, 10097])).
% 72.62/45.77 tff(10101,plain,
% 72.62/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10102,plain,
% 72.62/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10101, 10100])).
% 72.62/45.77 tff(10103,plain,
% 72.62/45.77 ((~v90(constB62, bitIndex0)) | (~v100(constB62))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10102, 802, 10096])).
% 72.62/45.77 tff(10104,plain,
% 72.62/45.77 (~v90(constB62, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10103, 9996])).
% 72.62/45.77 tff(10105,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10106,plain,
% 72.62/45.77 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10107,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10106])).
% 72.62/45.77 tff(10108,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10107, 10105])).
% 72.62/45.77 tff(10109,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10110,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 72.62/45.77 tff(10111,plain,
% 72.62/45.77 (v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10110, 362, 10024])).
% 72.62/45.77 tff(10112,plain,
% 72.62/45.77 (v90(constB62, bitIndex0) | (~v90(constB63, bitIndex0))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10111, 10036])).
% 72.62/45.77 tff(10113,plain,
% 72.62/45.77 (~v90(constB63, bitIndex0)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10112, 10104])).
% 72.62/45.77 tff(10114,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10115,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10116,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 72.62/45.77 tff(10117,plain,
% 72.62/45.77 (v123(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10116, 829, 10113, 10079, 10045])).
% 72.62/45.77 tff(10118,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10119,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10120,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 72.62/45.77 tff(10121,plain,
% 72.62/45.77 (v115(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10120, 840, 10117])).
% 72.62/45.77 tff(10122,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10123,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10124,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 72.62/45.77 tff(10125,plain,
% 72.62/45.77 (v114(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10124, 438, 10121])).
% 72.62/45.77 tff(10126,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10127,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10128,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 72.62/45.77 tff(10129,plain,
% 72.62/45.77 (v113(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10128, 449, 10125])).
% 72.62/45.77 tff(10130,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10131,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10132,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 72.62/45.77 tff(10133,plain,
% 72.62/45.77 (v26(constB63) | v112(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10132, 463, 10129])).
% 72.62/45.77 tff(10134,plain,
% 72.62/45.77 (v112(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10133, 4618])).
% 72.62/45.77 tff(10135,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10136,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10137,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 72.62/45.77 tff(10138,plain,
% 72.62/45.77 (v108(constB63)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10137, 475, 10134])).
% 72.62/45.77 tff(10139,plain,
% 72.62/45.77 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10140,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 72.62/45.77 tff(10141,plain,
% 72.62/45.77 (nextState(constB63, constB64)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 72.62/45.77 tff(10142,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10143,plain,
% 72.62/45.77 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10144,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10143])).
% 72.62/45.77 tff(10145,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10144, 10142])).
% 72.62/45.77 tff(10146,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10147,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 72.62/45.77 tff(10148,plain,
% 72.62/45.77 (v110(constB64) | (~v108(constB63))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10147, 492, 10141])).
% 72.62/45.77 tff(10149,plain,
% 72.62/45.77 (v110(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10148, 10138])).
% 72.62/45.77 tff(10150,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10151,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10152,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 72.62/45.77 tff(10153,plain,
% 72.62/45.77 (~v104(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10152, 510, 10141, 10021])).
% 72.62/45.77 tff(10154,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10155,plain,
% 72.62/45.77 (((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10156,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10155])).
% 72.62/45.77 tff(10157,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10156, 10154])).
% 72.62/45.77 tff(10158,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10159,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 72.62/45.77 tff(10160,plain,
% 72.62/45.77 (v104(constB64) | v102(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10159, 524, 10141])).
% 72.62/45.77 tff(10161,plain,
% 72.62/45.77 (v102(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10160, 10153])).
% 72.62/45.77 tff(10162,plain,
% 72.62/45.77 (v1(constB64) <=> v1(constB64)),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10163,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 72.62/45.77 tff(10164,plain,
% 72.62/45.77 (v1(constB64)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 72.62/45.77 tff(10165,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10166,plain,
% 72.62/45.77 (((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))) <=> ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10167,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10166])).
% 72.62/45.77 tff(10168,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10167, 10165])).
% 72.62/45.77 tff(10169,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10170,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10169, 10168])).
% 72.62/45.77 tff(10171,plain,
% 72.62/45.77 (v101(constB64) | (~v102(constB64))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10170, 545, 10141, 10164])).
% 72.62/45.77 tff(10172,plain,
% 72.62/45.77 (v101(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10171, 10161])).
% 72.62/45.77 tff(10173,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10174,plain,
% 72.62/45.77 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10175,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10174])).
% 72.62/45.77 tff(10176,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10175, 10173])).
% 72.62/45.77 tff(10177,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10178,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10177, 10176])).
% 72.62/45.77 tff(10179,plain,
% 72.62/45.77 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10178, 563, 10141])).
% 72.62/45.77 tff(10180,plain,
% 72.62/45.77 (v100(constB64) | (~v110(constB64))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10179, 10172])).
% 72.62/45.77 tff(10181,plain,
% 72.62/45.77 (v100(constB64)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10180, 10149])).
% 72.62/45.77 tff(10182,plain,
% 72.62/45.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10183,plain,
% 72.62/45.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10184,plain,
% 72.62/45.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 72.62/45.77 tff(10185,plain,
% 72.62/45.77 (v130(constB63, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10184, 917, 10117])).
% 72.62/45.77 tff(10186,plain,
% 72.62/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10187,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10188,plain,
% 72.62/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 72.62/45.77 tff(10189,plain,
% 72.62/45.77 (v26(constB63) | v127(constB63, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10188, 596, 10185])).
% 72.62/45.77 tff(10190,plain,
% 72.62/45.77 (v127(constB63, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10189, 4618])).
% 72.62/45.77 tff(10191,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10192,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10193,plain,
% 72.62/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 72.62/45.77 tff(10194,plain,
% 72.62/45.77 ((~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10193, 611, 10141])).
% 72.62/45.77 tff(10195,plain,
% 72.62/45.77 (v129(constB64, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10194, 10190])).
% 72.62/45.77 tff(10196,plain,
% 72.62/45.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10197,plain,
% 72.62/45.77 ((v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10198,plain,
% 72.62/45.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))))),
% 72.62/45.77 inference(monotonicity,[status(thm)],[10197])).
% 72.62/45.77 tff(10199,plain,
% 72.62/45.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 72.62/45.77 inference(transitivity,[status(thm)],[10198, 10196])).
% 72.62/45.77 tff(10200,plain,
% 72.62/45.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))),
% 72.62/45.77 inference(quant_inst,[status(thm)],[])).
% 72.62/45.77 tff(10201,plain,
% 72.62/45.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 72.62/45.77 tff(10202,plain,
% 72.62/45.77 (v90(constB64, bitIndex2) | (~v100(constB64))),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10201, 626, 10195])).
% 72.62/45.77 tff(10203,plain,
% 72.62/45.77 (v90(constB64, bitIndex2)),
% 72.62/45.77 inference(unit_resolution,[status(thm)],[10202, 10181])).
% 72.62/45.77 tff(10204,plain,
% 72.62/45.77 ((~v1(constB65)) <=> (~v1(constB65))),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10205,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 72.62/45.77 tff(10206,plain,
% 72.62/45.77 (~v1(constB65)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 72.62/45.77 tff(10207,plain,
% 72.62/45.77 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 72.62/45.77 inference(rewrite,[status(thm)],[])).
% 72.62/45.77 tff(10208,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 72.62/45.77 tff(10209,plain,
% 72.62/45.77 (nextState(constB64, constB65)),
% 72.62/45.77 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 72.62/45.77 tff(10210,plain,
% 72.62/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10211,plain,
% 72.62/45.78 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10212,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10211])).
% 72.62/45.78 tff(10213,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10212, 10210])).
% 72.62/45.78 tff(10214,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10215,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 72.62/45.78 tff(10216,plain,
% 72.62/45.78 (~v101(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10215, 288, 10209, 10206])).
% 72.62/45.78 tff(10217,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10218,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10219,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 72.62/45.78 tff(10220,plain,
% 72.62/45.78 (v101(constB65) | (~v100(constB65))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10219, 305, 10209])).
% 72.62/45.78 tff(10221,plain,
% 72.62/45.78 (~v100(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10220, 10216])).
% 72.62/45.78 tff(10222,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10223,plain,
% 72.62/45.78 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10224,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10223])).
% 72.62/45.78 tff(10225,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10224, 10222])).
% 72.62/45.78 tff(10226,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10227,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 72.62/45.78 tff(10228,plain,
% 72.62/45.78 ((~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10227, 662, 10209])).
% 72.62/45.78 tff(10229,plain,
% 72.62/45.78 ((~v90(constB64, bitIndex2)) | v90(constB65, bitIndex2)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10228, 10221])).
% 72.62/45.78 tff(10230,plain,
% 72.62/45.78 (v90(constB65, bitIndex2)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10229, 10203])).
% 72.62/45.78 tff(10231,plain,
% 72.62/45.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10232,plain,
% 72.62/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10233,plain,
% 72.62/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 72.62/45.78 tff(10234,plain,
% 72.62/45.78 (v130(constB63, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10233, 976, 10117])).
% 72.62/45.78 tff(10235,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10236,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10237,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 72.62/45.78 tff(10238,plain,
% 72.62/45.78 (v26(constB63) | v127(constB63, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10237, 990, 10234])).
% 72.62/45.78 tff(10239,plain,
% 72.62/45.78 (v127(constB63, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10238, 4618])).
% 72.62/45.78 tff(10240,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10241,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10242,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10241, 10240])).
% 72.62/45.78 tff(10243,plain,
% 72.62/45.78 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10242, 1005, 10141])).
% 72.62/45.78 tff(10244,plain,
% 72.62/45.78 (v129(constB64, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10243, 10239])).
% 72.62/45.78 tff(10245,plain,
% 72.62/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10246,plain,
% 72.62/45.78 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10247,plain,
% 72.62/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10246])).
% 72.62/45.78 tff(10248,plain,
% 72.62/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10247, 10245])).
% 72.62/45.78 tff(10249,plain,
% 72.62/45.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10250,plain,
% 72.62/45.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 72.62/45.78 tff(10251,plain,
% 72.62/45.78 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10250, 1020, 10244])).
% 72.62/45.78 tff(10252,plain,
% 72.62/45.78 (v90(constB64, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10251, 10181])).
% 72.62/45.78 tff(10253,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10254,plain,
% 72.62/45.78 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10255,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10254])).
% 72.62/45.78 tff(10256,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10255, 10253])).
% 72.62/45.78 tff(10257,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10258,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 72.62/45.78 tff(10259,plain,
% 72.62/45.78 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10258, 1038, 10209])).
% 72.62/45.78 tff(10260,plain,
% 72.62/45.78 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10259, 10221])).
% 72.62/45.78 tff(10261,plain,
% 72.62/45.78 (v90(constB65, bitIndex1)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10260, 10252])).
% 72.62/45.78 tff(10262,plain,
% 72.62/45.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10263,plain,
% 72.62/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10264,plain,
% 72.62/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 72.62/45.78 tff(10265,plain,
% 72.62/45.78 (~v130(constB63, bitIndex0)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10264, 1057, 10117])).
% 72.62/45.78 tff(10266,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10267,plain,
% 72.62/45.78 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10268,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10267])).
% 72.62/45.78 tff(10269,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10268, 10266])).
% 72.62/45.78 tff(10270,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10271,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 72.62/45.78 tff(10272,plain,
% 72.62/45.78 ((~v127(constB63, bitIndex0)) | v26(constB63)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10271, 769, 10265])).
% 72.62/45.78 tff(10273,plain,
% 72.62/45.78 (~v127(constB63, bitIndex0)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10272, 4618])).
% 72.62/45.78 tff(10274,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10275,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10276,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 72.62/45.78 tff(10277,plain,
% 72.62/45.78 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10276, 787, 10141])).
% 72.62/45.78 tff(10278,plain,
% 72.62/45.78 (~v129(constB64, bitIndex0)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10277, 10273])).
% 72.62/45.78 tff(10279,plain,
% 72.62/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10280,plain,
% 72.62/45.78 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10281,plain,
% 72.62/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10280])).
% 72.62/45.78 tff(10282,plain,
% 72.62/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10281, 10279])).
% 72.62/45.78 tff(10283,plain,
% 72.62/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10284,plain,
% 72.62/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 72.62/45.78 tff(10285,plain,
% 72.62/45.78 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10284, 802, 10278])).
% 72.62/45.78 tff(10286,plain,
% 72.62/45.78 (~v90(constB64, bitIndex0)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10285, 10181])).
% 72.62/45.78 tff(10287,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10288,plain,
% 72.62/45.78 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10289,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10288])).
% 72.62/45.78 tff(10290,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10289, 10287])).
% 72.62/45.78 tff(10291,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10292,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 72.62/45.78 tff(10293,plain,
% 72.62/45.78 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10292, 362, 10209])).
% 72.62/45.78 tff(10294,plain,
% 72.62/45.78 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10293, 10221])).
% 72.62/45.78 tff(10295,plain,
% 72.62/45.78 (~v90(constB65, bitIndex0)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10294, 10286])).
% 72.62/45.78 tff(10296,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10297,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10298,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 72.62/45.78 tff(10299,plain,
% 72.62/45.78 (v125(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10298, 1101, 10295, 10261, 10230])).
% 72.62/45.78 tff(10300,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB65) | (~v125(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB65) | (~v125(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10301,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB65) | (~v125(constB65)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10302,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB65) | (~v125(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 72.62/45.78 tff(10303,plain,
% 72.62/45.78 (v113(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10302, 1112, 10299])).
% 72.62/45.78 tff(10304,assumption,(v26(constB65)), introduced(assumption)).
% 72.62/45.78 tff(10305,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10306,plain,
% 72.62/45.78 ($false),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10305, 26, 10304])).
% 72.62/45.78 tff(10307,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.78 tff(10308,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10309,plain,
% 72.62/45.78 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10310,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10309])).
% 72.62/45.78 tff(10311,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10310, 10308])).
% 72.62/45.78 tff(10312,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10313,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10312, 10311])).
% 72.62/45.78 tff(10314,plain,
% 72.62/45.78 (v112(constB65) | (~v113(constB65))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10313, 463, 10307])).
% 72.62/45.78 tff(10315,plain,
% 72.62/45.78 (v112(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10314, 10303])).
% 72.62/45.78 tff(10316,plain,
% 72.62/45.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10317,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10318,plain,
% 72.62/45.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10317, 10316])).
% 72.62/45.78 tff(10319,plain,
% 72.62/45.78 (v108(constB65)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10318, 475, 10315])).
% 72.62/45.78 tff(10320,plain,
% 72.62/45.78 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10321,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 72.62/45.78 tff(10322,plain,
% 72.62/45.78 (nextState(constB65, constB66)),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10321, 10320])).
% 72.62/45.78 tff(10323,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10324,plain,
% 72.62/45.78 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10325,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 72.62/45.78 inference(monotonicity,[status(thm)],[10324])).
% 72.62/45.78 tff(10326,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.62/45.78 inference(transitivity,[status(thm)],[10325, 10323])).
% 72.62/45.78 tff(10327,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10328,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 72.62/45.78 tff(10329,plain,
% 72.62/45.78 (v110(constB66) | (~v108(constB65))),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10328, 492, 10322])).
% 72.62/45.78 tff(10330,plain,
% 72.62/45.78 (v110(constB66)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10329, 10319])).
% 72.62/45.78 tff(10331,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10332,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 72.62/45.78 inference(quant_inst,[status(thm)],[])).
% 72.62/45.78 tff(10333,plain,
% 72.62/45.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 72.62/45.78 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 72.62/45.78 tff(10334,plain,
% 72.62/45.78 (~v104(constB66)),
% 72.62/45.78 inference(unit_resolution,[status(thm)],[10333, 510, 10322, 10206])).
% 72.62/45.78 tff(10335,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10336,plain,
% 72.62/45.78 (((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 72.62/45.78 inference(rewrite,[status(thm)],[])).
% 72.62/45.78 tff(10337,plain,
% 72.62/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10336])).
% 72.62/45.79 tff(10338,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10337, 10335])).
% 72.62/45.79 tff(10339,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10340,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 72.62/45.79 tff(10341,plain,
% 72.62/45.79 (v104(constB66) | v102(constB66)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10340, 524, 10322])).
% 72.62/45.79 tff(10342,plain,
% 72.62/45.79 (v102(constB66)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10341, 10334])).
% 72.62/45.79 tff(10343,plain,
% 72.62/45.79 (v1(constB66) <=> v1(constB66)),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10344,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 72.62/45.79 tff(10345,plain,
% 72.62/45.79 (v1(constB66)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 72.62/45.79 tff(10346,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10347,plain,
% 72.62/45.79 (((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))) <=> ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10348,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10347])).
% 72.62/45.79 tff(10349,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10348, 10346])).
% 72.62/45.79 tff(10350,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10351,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 72.62/45.79 tff(10352,plain,
% 72.62/45.79 (v101(constB66) | (~v102(constB66))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10351, 545, 10322, 10345])).
% 72.62/45.79 tff(10353,plain,
% 72.62/45.79 (v101(constB66)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10352, 10342])).
% 72.62/45.79 tff(10354,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10355,plain,
% 72.62/45.79 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10356,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10355])).
% 72.62/45.79 tff(10357,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10356, 10354])).
% 72.62/45.79 tff(10358,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10359,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 72.62/45.79 tff(10360,plain,
% 72.62/45.79 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10359, 563, 10322])).
% 72.62/45.79 tff(10361,plain,
% 72.62/45.79 (v100(constB66) | (~v110(constB66))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10360, 10353])).
% 72.62/45.79 tff(10362,plain,
% 72.62/45.79 (v100(constB66)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10361, 10330])).
% 72.62/45.79 tff(10363,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v121(constB65)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10364,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v121(constB65)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10365,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v121(constB65))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 72.62/45.79 tff(10366,plain,
% 72.62/45.79 (~v121(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10365, 1182, 10230])).
% 72.62/45.79 tff(10367,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10368,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10369,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 72.62/45.79 tff(10370,plain,
% 72.62/45.79 (~v120(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10369, 1240, 10261])).
% 72.62/45.79 tff(10371,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v122(constB65)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10372,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v122(constB65)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10373,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v122(constB65))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 72.62/45.79 tff(10374,plain,
% 72.62/45.79 (~v122(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10373, 1193, 10230])).
% 72.62/45.79 tff(10375,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10376,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10377,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 72.62/45.79 tff(10378,plain,
% 72.62/45.79 (~v124(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10377, 1229, 10261])).
% 72.62/45.79 tff(10379,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10380,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10381,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 72.62/45.79 tff(10382,plain,
% 72.62/45.79 (~v123(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10381, 1218, 10261])).
% 72.62/45.79 tff(10383,plain,
% 72.62/45.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10384,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10385,plain,
% 72.62/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 72.62/45.79 tff(10386,plain,
% 72.62/45.79 (~v119(constB65)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10385, 1207, 10261])).
% 72.62/45.79 tff(10387,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10388,plain,
% 72.62/45.79 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2))) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10389,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10388])).
% 72.62/45.79 tff(10390,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10389, 10387])).
% 72.62/45.79 tff(10391,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10392,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex2))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10391, 10390])).
% 72.62/45.79 tff(10393,plain,
% 72.62/45.79 (~v130(constB65, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10392, 1254, 10386, 10382, 10378, 10374, 10370, 10366])).
% 72.62/45.79 tff(10394,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10395,plain,
% 72.62/45.79 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10396,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10395])).
% 72.62/45.79 tff(10397,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10396, 10394])).
% 72.62/45.79 tff(10398,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10399,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 72.62/45.79 tff(10400,plain,
% 72.62/45.79 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10399, 1271, 10307])).
% 72.62/45.79 tff(10401,plain,
% 72.62/45.79 (~v127(constB65, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10400, 10393])).
% 72.62/45.79 tff(10402,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10403,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10404,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10403, 10402])).
% 72.62/45.79 tff(10405,plain,
% 72.62/45.79 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10404, 1289, 10322])).
% 72.62/45.79 tff(10406,plain,
% 72.62/45.79 (~v129(constB66, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10405, 10401])).
% 72.62/45.79 tff(10407,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10408,plain,
% 72.62/45.79 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10409,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10408])).
% 72.62/45.79 tff(10410,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10409, 10407])).
% 72.62/45.79 tff(10411,plain,
% 72.62/45.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10412,plain,
% 72.62/45.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10411, 10410])).
% 72.62/45.79 tff(10413,plain,
% 72.62/45.79 ((~v90(constB66, bitIndex2)) | (~v100(constB66))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10412, 1304, 10406])).
% 72.62/45.79 tff(10414,plain,
% 72.62/45.79 (~v90(constB66, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10413, 10362])).
% 72.62/45.79 tff(10415,plain,
% 72.62/45.79 ((~v1(constB67)) <=> (~v1(constB67))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10416,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 72.62/45.79 tff(10417,plain,
% 72.62/45.79 (~v1(constB67)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 72.62/45.79 tff(10418,plain,
% 72.62/45.79 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10419,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 72.62/45.79 tff(10420,plain,
% 72.62/45.79 (nextState(constB66, constB67)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 72.62/45.79 tff(10421,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10422,plain,
% 72.62/45.79 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10423,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10422])).
% 72.62/45.79 tff(10424,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10423, 10421])).
% 72.62/45.79 tff(10425,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10426,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 72.62/45.79 tff(10427,plain,
% 72.62/45.79 (~v101(constB67)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10426, 288, 10420, 10417])).
% 72.62/45.79 tff(10428,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10429,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10430,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 72.62/45.79 tff(10431,plain,
% 72.62/45.79 (v101(constB67) | (~v100(constB67))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10430, 305, 10420])).
% 72.62/45.79 tff(10432,plain,
% 72.62/45.79 (~v100(constB67)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10431, 10427])).
% 72.62/45.79 tff(10433,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10434,plain,
% 72.62/45.79 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10435,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10434])).
% 72.62/45.79 tff(10436,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10435, 10433])).
% 72.62/45.79 tff(10437,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10438,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 72.62/45.79 tff(10439,plain,
% 72.62/45.79 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10438, 320, 10420])).
% 72.62/45.79 tff(10440,plain,
% 72.62/45.79 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10439, 10432])).
% 72.62/45.79 tff(10441,plain,
% 72.62/45.79 (~v90(constB67, bitIndex2)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10440, 10414])).
% 72.62/45.79 tff(10442,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10443,plain,
% 72.62/45.79 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10444,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10443])).
% 72.62/45.79 tff(10445,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10444, 10442])).
% 72.62/45.79 tff(10446,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10447,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 72.62/45.79 tff(10448,plain,
% 72.62/45.79 (~v130(constB65, bitIndex1)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10447, 1349, 10386, 10382, 10378, 10374, 10370, 10366])).
% 72.62/45.79 tff(10449,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10450,plain,
% 72.62/45.79 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10451,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10450])).
% 72.62/45.79 tff(10452,plain,
% 72.62/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.62/45.79 inference(transitivity,[status(thm)],[10451, 10449])).
% 72.62/45.79 tff(10453,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10454,plain,
% 72.62/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 72.62/45.79 tff(10455,plain,
% 72.62/45.79 ((~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10454, 695, 10307])).
% 72.62/45.79 tff(10456,plain,
% 72.62/45.79 (~v127(constB65, bitIndex1)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10455, 10448])).
% 72.62/45.79 tff(10457,plain,
% 72.62/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10458,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 72.62/45.79 inference(quant_inst,[status(thm)],[])).
% 72.62/45.79 tff(10459,plain,
% 72.62/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 72.62/45.79 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 72.62/45.79 tff(10460,plain,
% 72.62/45.79 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10459, 713, 10322])).
% 72.62/45.79 tff(10461,plain,
% 72.62/45.79 (~v129(constB66, bitIndex1)),
% 72.62/45.79 inference(unit_resolution,[status(thm)],[10460, 10456])).
% 72.62/45.79 tff(10462,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10463,plain,
% 72.62/45.79 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.62/45.79 inference(rewrite,[status(thm)],[])).
% 72.62/45.79 tff(10464,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))))),
% 72.62/45.79 inference(monotonicity,[status(thm)],[10463])).
% 72.62/45.79 tff(10465,plain,
% 72.62/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.62/45.80 inference(transitivity,[status(thm)],[10464, 10462])).
% 72.62/45.80 tff(10466,plain,
% 72.62/45.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10467,plain,
% 72.62/45.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10466, 10465])).
% 72.62/45.80 tff(10468,plain,
% 72.62/45.80 ((~v90(constB66, bitIndex1)) | (~v100(constB66))),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10467, 728, 10461])).
% 72.62/45.80 tff(10469,plain,
% 72.62/45.80 (~v90(constB66, bitIndex1)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10468, 10362])).
% 72.62/45.80 tff(10470,plain,
% 72.62/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10471,plain,
% 72.62/45.80 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10472,plain,
% 72.62/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))))),
% 72.62/45.80 inference(monotonicity,[status(thm)],[10471])).
% 72.62/45.80 tff(10473,plain,
% 72.62/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.62/45.80 inference(transitivity,[status(thm)],[10472, 10470])).
% 72.62/45.80 tff(10474,plain,
% 72.62/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10475,plain,
% 72.62/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 72.62/45.80 tff(10476,plain,
% 72.62/45.80 (v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10475, 341, 10420])).
% 72.62/45.80 tff(10477,plain,
% 72.62/45.80 (v90(constB66, bitIndex1) | (~v90(constB67, bitIndex1))),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10476, 10432])).
% 72.62/45.80 tff(10478,plain,
% 72.62/45.80 (~v90(constB67, bitIndex1)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10477, 10469])).
% 72.62/45.80 tff(10479,assumption,(~v130(constB65, bitIndex0)), introduced(assumption)).
% 72.62/45.80 tff(10480,assumption,(~v123(constB65)), introduced(assumption)).
% 72.62/45.80 tff(10481,assumption,(~v119(constB65)), introduced(assumption)).
% 72.62/45.80 tff(10482,assumption,(~v120(constB65)), introduced(assumption)).
% 72.62/45.80 tff(10483,assumption,(~v122(constB65)), introduced(assumption)).
% 72.62/45.80 tff(10484,assumption,(~v124(constB65)), introduced(assumption)).
% 72.62/45.80 tff(10485,plain,
% 72.62/45.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10486,plain,
% 72.62/45.80 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10487,plain,
% 72.62/45.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)))),
% 72.62/45.80 inference(monotonicity,[status(thm)],[10486])).
% 72.62/45.80 tff(10488,plain,
% 72.62/45.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(transitivity,[status(thm)],[10487, 10485])).
% 72.62/45.80 tff(10489,plain,
% 72.62/45.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10490,plain,
% 72.62/45.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 72.62/45.80 tff(10491,plain,
% 72.62/45.80 (v123(constB65) | v121(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10490, 1396, 10484, 10483, 10482])).
% 72.62/45.80 tff(10492,plain,
% 72.62/45.80 (v121(constB65)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10491, 10479, 10481, 10480])).
% 72.62/45.80 tff(10493,plain,
% 72.62/45.80 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10494,plain,
% 72.62/45.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10495,plain,
% 72.62/45.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10494, 10493])).
% 72.62/45.80 tff(10496,plain,
% 72.62/45.80 ($false),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10495, 1945, 10492, 10479])).
% 72.62/45.80 tff(10497,plain,(v130(constB65, bitIndex0) | v119(constB65) | v123(constB65) | v124(constB65) | v122(constB65) | v120(constB65)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.80 tff(10498,plain,
% 72.62/45.80 (v130(constB65, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10497, 10374, 10370, 10378, 10382, 10386])).
% 72.62/45.80 tff(10499,plain,
% 72.62/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10500,plain,
% 72.62/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10501,plain,
% 72.62/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10500, 10499])).
% 72.62/45.80 tff(10502,plain,
% 72.62/45.80 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10501, 1413, 10307])).
% 72.62/45.80 tff(10503,plain,
% 72.62/45.80 (v127(constB65, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10502, 10498])).
% 72.62/45.80 tff(10504,plain,
% 72.62/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10505,plain,
% 72.62/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 72.62/45.80 inference(quant_inst,[status(thm)],[])).
% 72.62/45.80 tff(10506,plain,
% 72.62/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 72.62/45.80 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 72.62/45.80 tff(10507,plain,
% 72.62/45.80 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10506, 1428, 10322])).
% 72.62/45.80 tff(10508,plain,
% 72.62/45.80 (v129(constB66, bitIndex0)),
% 72.62/45.80 inference(unit_resolution,[status(thm)],[10507, 10503])).
% 72.62/45.80 tff(10509,plain,
% 72.62/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10510,plain,
% 72.62/45.80 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.62/45.80 inference(rewrite,[status(thm)],[])).
% 72.62/45.80 tff(10511,plain,
% 72.62/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 72.62/45.80 inference(monotonicity,[status(thm)],[10510])).
% 72.62/45.80 tff(10512,plain,
% 72.62/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.65/45.80 inference(transitivity,[status(thm)],[10511, 10509])).
% 72.65/45.80 tff(10513,plain,
% 72.65/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10514,plain,
% 72.65/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 72.65/45.80 tff(10515,plain,
% 72.65/45.80 (v90(constB66, bitIndex0) | (~v100(constB66))),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10514, 1443, 10508])).
% 72.65/45.80 tff(10516,plain,
% 72.65/45.80 (v90(constB66, bitIndex0)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10515, 10362])).
% 72.65/45.80 tff(10517,plain,
% 72.65/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10518,plain,
% 72.65/45.80 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10519,plain,
% 72.65/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 72.65/45.80 inference(monotonicity,[status(thm)],[10518])).
% 72.65/45.80 tff(10520,plain,
% 72.65/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.65/45.80 inference(transitivity,[status(thm)],[10519, 10517])).
% 72.65/45.80 tff(10521,plain,
% 72.65/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10522,plain,
% 72.65/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 72.65/45.80 tff(10523,plain,
% 72.65/45.80 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10522, 1461, 10420])).
% 72.65/45.80 tff(10524,plain,
% 72.65/45.80 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10523, 10432])).
% 72.65/45.80 tff(10525,plain,
% 72.65/45.80 (v90(constB67, bitIndex0)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10524, 10516])).
% 72.65/45.80 tff(10526,plain,
% 72.65/45.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10527,plain,
% 72.65/45.80 (((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2)) <=> ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10528,plain,
% 72.65/45.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)))),
% 72.65/45.80 inference(monotonicity,[status(thm)],[10527])).
% 72.65/45.80 tff(10529,plain,
% 72.65/45.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 72.65/45.80 inference(transitivity,[status(thm)],[10528, 10526])).
% 72.65/45.80 tff(10530,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10531,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 72.65/45.80 tff(10532,plain,
% 72.65/45.80 (v120(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10531, 1480, 10525, 10478, 10441])).
% 72.65/45.80 tff(10533,plain,
% 72.65/45.80 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10534,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10535,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 72.65/45.80 tff(10536,plain,
% 72.65/45.80 (~v130(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10535, 1587, 10532])).
% 72.65/45.80 tff(10537,assumption,(v26(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10538,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10539,plain,
% 72.65/45.80 ($false),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10538, 26, 10537])).
% 72.65/45.80 tff(10540,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.65/45.80 tff(10541,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10542,plain,
% 72.65/45.80 ((v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2))) <=> ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10543,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)))),
% 72.65/45.80 inference(monotonicity,[status(thm)],[10542])).
% 72.65/45.80 tff(10544,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.65/45.80 inference(transitivity,[status(thm)],[10543, 10541])).
% 72.65/45.80 tff(10545,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10546,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 72.65/45.80 tff(10547,plain,
% 72.65/45.80 ((~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10546, 1271, 10540])).
% 72.65/45.80 tff(10548,plain,
% 72.65/45.80 (~v127(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10547, 10536])).
% 72.65/45.80 tff(10549,plain,
% 72.65/45.80 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10550,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 72.65/45.80 tff(10551,plain,
% 72.65/45.80 (nextState(constB67, constB68)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 72.65/45.80 tff(10552,plain,
% 72.65/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10553,plain,
% 72.65/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10554,plain,
% 72.65/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 72.65/45.80 tff(10555,plain,
% 72.65/45.80 (v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10554, 1289, 10551])).
% 72.65/45.80 tff(10556,plain,
% 72.65/45.80 (~v129(constB68, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10555, 10548])).
% 72.65/45.80 tff(10557,plain,
% 72.65/45.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v119(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v119(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10558,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v119(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10559,plain,
% 72.65/45.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v119(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 72.65/45.80 tff(10560,plain,
% 72.65/45.80 (~v119(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10559, 3665, 10525])).
% 72.65/45.80 tff(10561,assumption,(~v113(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10562,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10563,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10564,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10563, 10562])).
% 72.65/45.80 tff(10565,plain,
% 72.65/45.80 (~v114(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10564, 449, 10561])).
% 72.65/45.80 tff(10566,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB67) | (~v124(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB67) | (~v124(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10567,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB67) | (~v124(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10568,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB67) | (~v124(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 72.65/45.80 tff(10569,plain,
% 72.65/45.80 (~v124(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10568, 3631, 10565])).
% 72.65/45.80 tff(10570,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10571,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10572,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 72.65/45.80 tff(10573,plain,
% 72.65/45.80 (~v115(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10572, 438, 10565])).
% 72.65/45.80 tff(10574,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB67) | (~v123(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB67) | (~v123(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10575,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB67) | (~v123(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10576,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB67) | (~v123(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10575, 10574])).
% 72.65/45.80 tff(10577,plain,
% 72.65/45.80 (~v123(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10576, 840, 10573])).
% 72.65/45.80 tff(10578,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB67) | (~v125(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB67) | (~v125(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10579,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB67) | (~v125(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10580,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB67) | (~v125(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10579, 10578])).
% 72.65/45.80 tff(10581,plain,
% 72.65/45.80 (~v125(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10580, 1112, 10561])).
% 72.65/45.80 tff(10582,assumption,(~v119(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10583,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10584,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10585,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 72.65/45.80 tff(10586,plain,
% 72.65/45.80 (~v116(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10585, 427, 10573])).
% 72.65/45.80 tff(10587,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB67) | (~v117(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB67) | (~v117(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10588,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB67) | (~v117(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10589,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB67) | (~v117(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 72.65/45.80 tff(10590,plain,
% 72.65/45.80 (~v117(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10589, 416, 10586])).
% 72.65/45.80 tff(10591,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB67) | (~v121(constB67)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB67) | (~v121(constB67)))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10592,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB67) | (~v121(constB67)))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10593,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB67) | (~v121(constB67))),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 72.65/45.80 tff(10594,plain,
% 72.65/45.80 (~v121(constB67)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10593, 1775, 10590])).
% 72.65/45.80 tff(10595,assumption,(~v90(constB67, bitIndex0)), introduced(assumption)).
% 72.65/45.80 tff(10596,assumption,(~v121(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10597,assumption,(~v90(constB67, bitIndex2)), introduced(assumption)).
% 72.65/45.80 tff(10598,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v121(constB67))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v121(constB67))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10599,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v121(constB67))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10600,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v121(constB67)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 72.65/45.80 tff(10601,plain,
% 72.65/45.80 (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10600, 1734, 10596])).
% 72.65/45.80 tff(10602,plain,
% 72.65/45.80 (~v90(constB67, bitIndex1)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10601, 10597, 10595])).
% 72.65/45.80 tff(10603,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB67) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB67) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10604,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB67) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10605,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB67) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10604, 10603])).
% 72.65/45.80 tff(10606,plain,
% 72.65/45.80 (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10605, 383, 10582])).
% 72.65/45.80 tff(10607,plain,
% 72.65/45.80 ($false),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10606, 10602, 10597, 10595])).
% 72.65/45.80 tff(10608,plain,(v90(constB67, bitIndex2) | v90(constB67, bitIndex0) | v119(constB67) | v121(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.65/45.80 tff(10609,plain,
% 72.65/45.80 (v90(constB67, bitIndex2)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10608, 10595, 10582, 10596])).
% 72.65/45.80 tff(10610,assumption,(~v125(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10611,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex2)) | v125(constB67))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex2)) | v125(constB67))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10612,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex2)) | v125(constB67))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10613,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex2)) | v125(constB67)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10612, 10611])).
% 72.65/45.80 tff(10614,plain,
% 72.65/45.80 (v90(constB67, bitIndex0) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex2))),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10613, 1101, 10610])).
% 72.65/45.80 tff(10615,plain,
% 72.65/45.80 (~v90(constB67, bitIndex1)),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10614, 10609, 10595])).
% 72.65/45.80 tff(10616,assumption,(~v123(constB67)), introduced(assumption)).
% 72.65/45.80 tff(10617,plain,
% 72.65/45.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))),
% 72.65/45.80 inference(rewrite,[status(thm)],[])).
% 72.65/45.80 tff(10618,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))),
% 72.65/45.80 inference(quant_inst,[status(thm)],[])).
% 72.65/45.80 tff(10619,plain,
% 72.65/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67)),
% 72.65/45.80 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 72.65/45.80 tff(10620,plain,
% 72.65/45.80 (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2))),
% 72.65/45.80 inference(unit_resolution,[status(thm)],[10619, 829, 10616])).
% 72.65/45.80 tff(10621,plain,
% 72.65/45.80 ($false),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10620, 10615, 10609, 10595])).
% 72.65/45.81 tff(10622,plain,(v90(constB67, bitIndex0) | v123(constB67) | v125(constB67) | v119(constB67) | v121(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.65/45.81 tff(10623,plain,
% 72.65/45.81 (v90(constB67, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10622, 10594, 10582, 10581, 10577])).
% 72.65/45.81 tff(10624,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB67) | (~v118(constB67)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB67) | (~v118(constB67)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10625,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB67) | (~v118(constB67)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10626,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB67) | (~v118(constB67))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 72.65/45.81 tff(10627,plain,
% 72.65/45.81 (~v118(constB67)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10626, 405, 10590])).
% 72.65/45.81 tff(10628,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB67) | (~v120(constB67)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB67) | (~v120(constB67)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10629,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB67) | (~v120(constB67)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10630,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB67) | (~v120(constB67))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10629, 10628])).
% 72.65/45.81 tff(10631,plain,
% 72.65/45.81 (~v120(constB67)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10630, 1494, 10627])).
% 72.65/45.81 tff(10632,assumption,(v90(constB67, bitIndex0)), introduced(assumption)).
% 72.65/45.81 tff(10633,assumption,(~v90(constB67, bitIndex1)), introduced(assumption)).
% 72.65/45.81 tff(10634,assumption,(~v124(constB67)), introduced(assumption)).
% 72.65/45.81 tff(10635,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v124(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v124(constB67))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10636,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v124(constB67))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10637,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v124(constB67)),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10636, 10635])).
% 72.65/45.81 tff(10638,plain,
% 72.65/45.81 ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10637, 3620, 10634])).
% 72.65/45.81 tff(10639,plain,
% 72.65/45.81 (~v90(constB67, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10638, 10633, 10632])).
% 72.65/45.81 tff(10640,assumption,(~v120(constB67)), introduced(assumption)).
% 72.65/45.81 tff(10641,plain,
% 72.65/45.81 ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10531, 1480, 10640])).
% 72.65/45.81 tff(10642,plain,
% 72.65/45.81 ($false),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10641, 10639, 10633, 10632])).
% 72.65/45.81 tff(10643,plain,(v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)) | v120(constB67) | v124(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.65/45.81 tff(10644,plain,
% 72.65/45.81 (v90(constB67, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10643, 10631, 10623, 10569])).
% 72.65/45.81 tff(10645,plain,
% 72.65/45.81 (v90(constB66, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10477, 10644])).
% 72.65/45.81 tff(10646,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10647,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10648,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 72.65/45.81 tff(10649,plain,
% 72.65/45.81 (~v122(constB67)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10648, 1997, 10586])).
% 72.65/45.81 tff(10650,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10651,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10652,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10651, 10650])).
% 72.65/45.81 tff(10653,plain,
% 72.65/45.81 ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10652, 1986, 10649])).
% 72.65/45.81 tff(10654,plain,
% 72.65/45.81 (v90(constB67, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10653, 10644, 10623])).
% 72.65/45.81 tff(10655,plain,
% 72.65/45.81 (v90(constB66, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10440, 10654])).
% 72.65/45.81 tff(10656,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10657,plain,
% 72.65/45.81 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10658,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10657])).
% 72.65/45.81 tff(10659,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10658, 10656])).
% 72.65/45.81 tff(10660,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10661,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 72.65/45.81 tff(10662,plain,
% 72.65/45.81 (v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10661, 362, 10420])).
% 72.65/45.81 tff(10663,plain,
% 72.65/45.81 (v90(constB66, bitIndex0) | (~v90(constB67, bitIndex0))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10662, 10432])).
% 72.65/45.81 tff(10664,plain,
% 72.65/45.81 (v90(constB66, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10663, 10623])).
% 72.65/45.81 tff(10665,assumption,(v90(constB66, bitIndex0)), introduced(assumption)).
% 72.65/45.81 tff(10666,assumption,(~v90(constB65, bitIndex0)), introduced(assumption)).
% 72.65/45.81 tff(10667,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10668,plain,
% 72.65/45.81 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))) <=> (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10669,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10668])).
% 72.65/45.81 tff(10670,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10669, 10667])).
% 72.65/45.81 tff(10671,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10672,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10671, 10670])).
% 72.65/45.81 tff(10673,plain,
% 72.65/45.81 (v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10672, 362, 10322])).
% 72.65/45.81 tff(10674,plain,
% 72.65/45.81 (v100(constB66)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10673, 10666, 10665])).
% 72.65/45.81 tff(10675,plain,
% 72.65/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10676,plain,
% 72.65/45.81 (((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10677,plain,
% 72.65/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10676])).
% 72.65/45.81 tff(10678,plain,
% 72.65/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10677, 10675])).
% 72.65/45.81 tff(10679,plain,
% 72.65/45.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10680,plain,
% 72.65/45.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10679, 10678])).
% 72.65/45.81 tff(10681,plain,
% 72.65/45.81 (v129(constB66, bitIndex0) | (~v100(constB66))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10680, 802, 10665])).
% 72.65/45.81 tff(10682,plain,
% 72.65/45.81 (v129(constB66, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10681, 10674])).
% 72.65/45.81 tff(10683,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10684,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10685,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 72.65/45.81 tff(10686,plain,
% 72.65/45.81 (v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10685, 787, 10322])).
% 72.65/45.81 tff(10687,plain,
% 72.65/45.81 (v127(constB65, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10686, 10682])).
% 72.65/45.81 tff(10688,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB65)) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB65)) | (~v127(constB65, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10689,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB65)) | (~v127(constB65, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10690,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB65)) | (~v127(constB65, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 72.65/45.81 tff(10691,plain,
% 72.65/45.81 (~v26(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10690, 3193, 10687])).
% 72.65/45.81 tff(10692,assumption,(v90(constB66, bitIndex1)), introduced(assumption)).
% 72.65/45.81 tff(10693,plain,
% 72.65/45.81 (v129(constB66, bitIndex1) | (~v100(constB66))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10467, 728, 10692])).
% 72.65/45.81 tff(10694,plain,
% 72.65/45.81 (v129(constB66, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10693, 10674])).
% 72.65/45.81 tff(10695,plain,
% 72.65/45.81 (v127(constB65, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10460, 10694])).
% 72.65/45.81 tff(10696,plain,
% 72.65/45.81 (v130(constB65, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10454, 695, 10695, 10691])).
% 72.65/45.81 tff(10697,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB65, bitIndex0) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB65, bitIndex0) | (~v120(constB65)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10698,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB65, bitIndex0) | (~v120(constB65)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10699,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB65, bitIndex0) | (~v120(constB65))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10698, 10697])).
% 72.65/45.81 tff(10700,plain,
% 72.65/45.81 (~v120(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10699, 4101, 10666])).
% 72.65/45.81 tff(10701,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10702,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10703,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 72.65/45.81 tff(10704,plain,
% 72.65/45.81 (~v122(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10703, 3752, 10666])).
% 72.65/45.81 tff(10705,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB65, bitIndex0) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB65, bitIndex0) | (~v124(constB65)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10706,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB65, bitIndex0) | (~v124(constB65)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10707,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB65, bitIndex0) | (~v124(constB65))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 72.65/45.81 tff(10708,plain,
% 72.65/45.81 (~v124(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10707, 4085, 10666])).
% 72.65/45.81 tff(10709,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10710,plain,
% 72.65/45.81 ((v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0))) <=> ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10711,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10710])).
% 72.65/45.81 tff(10712,plain,
% 72.65/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10711, 10709])).
% 72.65/45.81 tff(10713,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10714,plain,
% 72.65/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 72.65/45.81 tff(10715,plain,
% 72.65/45.81 (v130(constB65, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10714, 769, 10687, 10691])).
% 72.65/45.81 tff(10716,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10717,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10718,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB65)) | (~v130(constB65, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 72.65/45.81 tff(10719,plain,
% 72.65/45.81 (~v123(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10718, 1057, 10715])).
% 72.65/45.81 tff(10720,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10721,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10722,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB65)) | (~v130(constB65, bitIndex0))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 72.65/45.81 tff(10723,plain,
% 72.65/45.81 (~v119(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10722, 755, 10715])).
% 72.65/45.81 tff(10724,plain,
% 72.65/45.81 (v121(constB65)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10447, 1349, 10723, 10719, 10708, 10704, 10700, 10696])).
% 72.65/45.81 tff(10725,assumption,(v90(constB66, bitIndex2)), introduced(assumption)).
% 72.65/45.81 tff(10726,plain,
% 72.65/45.81 (v129(constB66, bitIndex2) | (~v100(constB66))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10412, 1304, 10725])).
% 72.65/45.81 tff(10727,plain,
% 72.65/45.81 (v129(constB66, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10726, 10674])).
% 72.65/45.81 tff(10728,plain,
% 72.65/45.81 (v127(constB65, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10405, 10727])).
% 72.65/45.81 tff(10729,plain,
% 72.65/45.81 (v130(constB65, bitIndex2)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10399, 1271, 10728, 10691])).
% 72.65/45.81 tff(10730,plain,
% 72.65/45.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10731,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10732,plain,
% 72.65/45.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 72.65/45.81 tff(10733,plain,
% 72.65/45.81 ($false),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10732, 1748, 10729, 10724])).
% 72.65/45.81 tff(10734,plain,(v90(constB65, bitIndex0) | (~v90(constB66, bitIndex2)) | (~v90(constB66, bitIndex1)) | (~v90(constB66, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.65/45.81 tff(10735,plain,
% 72.65/45.81 (v90(constB65, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10734, 10655, 10645, 10664])).
% 72.65/45.81 tff(10736,plain,
% 72.65/45.81 (v90(constB64, bitIndex0)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10294, 10735])).
% 72.65/45.81 tff(10737,assumption,(v90(constB64, bitIndex0)), introduced(assumption)).
% 72.65/45.81 tff(10738,assumption,(~v100(constB66)), introduced(assumption)).
% 72.65/45.81 tff(10739,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10740,plain,
% 72.65/45.81 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))) <=> (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10741,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10740])).
% 72.65/45.81 tff(10742,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10741, 10739])).
% 72.65/45.81 tff(10743,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10744,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 72.65/45.81 tff(10745,plain,
% 72.65/45.81 (v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10744, 341, 10322])).
% 72.65/45.81 tff(10746,plain,
% 72.65/45.81 (v90(constB65, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10745, 10738, 10692])).
% 72.65/45.81 tff(10747,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10748,plain,
% 72.65/45.81 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10749,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))))),
% 72.65/45.81 inference(monotonicity,[status(thm)],[10748])).
% 72.65/45.81 tff(10750,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.65/45.81 inference(transitivity,[status(thm)],[10749, 10747])).
% 72.65/45.81 tff(10751,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.65/45.81 inference(quant_inst,[status(thm)],[])).
% 72.65/45.81 tff(10752,plain,
% 72.65/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 72.65/45.81 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 72.65/45.81 tff(10753,plain,
% 72.65/45.81 (v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10752, 341, 10209])).
% 72.65/45.81 tff(10754,plain,
% 72.65/45.81 (v90(constB64, bitIndex1) | (~v90(constB65, bitIndex1))),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10753, 10221])).
% 72.65/45.81 tff(10755,plain,
% 72.65/45.81 (v90(constB64, bitIndex1)),
% 72.65/45.81 inference(unit_resolution,[status(thm)],[10754, 10746])).
% 72.65/45.81 tff(10756,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10757,plain,
% 72.65/45.81 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))) <=> (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.65/45.81 inference(rewrite,[status(thm)],[])).
% 72.65/45.81 tff(10758,plain,
% 72.65/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10757])).
% 72.65/45.82 tff(10759,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10758, 10756])).
% 72.65/45.82 tff(10760,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10761,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 72.65/45.82 tff(10762,plain,
% 72.65/45.82 (v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10761, 320, 10322])).
% 72.65/45.82 tff(10763,plain,
% 72.65/45.82 (v90(constB65, bitIndex2)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10762, 10738, 10725])).
% 72.65/45.82 tff(10764,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10765,plain,
% 72.65/45.82 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10766,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10765])).
% 72.65/45.82 tff(10767,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10766, 10764])).
% 72.65/45.82 tff(10768,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10769,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 72.65/45.82 tff(10770,plain,
% 72.65/45.82 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10769, 320, 10209])).
% 72.65/45.82 tff(10771,plain,
% 72.65/45.82 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10770, 10221])).
% 72.65/45.82 tff(10772,plain,
% 72.65/45.82 (v90(constB64, bitIndex2)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10771, 10763])).
% 72.65/45.82 tff(10773,assumption,(~v127(constB63, bitIndex0)), introduced(assumption)).
% 72.65/45.82 tff(10774,plain,
% 72.65/45.82 (~v129(constB64, bitIndex0)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10277, 10773])).
% 72.65/45.82 tff(10775,plain,
% 72.65/45.82 (v129(constB64, bitIndex0) | (~v100(constB64))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10284, 802, 10737])).
% 72.65/45.82 tff(10776,plain,
% 72.65/45.82 (~v100(constB64)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10775, 10774])).
% 72.65/45.82 tff(10777,plain,
% 72.65/45.82 (~v110(constB64)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10180, 10776])).
% 72.65/45.82 tff(10778,plain,
% 72.65/45.82 (~v108(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10148, 10777])).
% 72.65/45.82 tff(10779,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB63) | (~v26(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB63) | (~v26(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10780,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB63) | (~v26(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10781,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB63) | (~v26(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 72.65/45.82 tff(10782,plain,
% 72.65/45.82 (~v26(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10781, 1807, 10778])).
% 72.65/45.82 tff(10783,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10784,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10785,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0)),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 72.65/45.82 tff(10786,plain,
% 72.65/45.82 (v26(constB63) | (~v130(constB63, bitIndex0))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10785, 1413, 10773])).
% 72.65/45.82 tff(10787,plain,
% 72.65/45.82 (~v130(constB63, bitIndex0)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10786, 10782])).
% 72.65/45.82 tff(10788,assumption,(v90(constB64, bitIndex2)), introduced(assumption)).
% 72.65/45.82 tff(10789,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10790,plain,
% 72.65/45.82 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))) <=> (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10791,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10790])).
% 72.65/45.82 tff(10792,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10791, 10789])).
% 72.65/45.82 tff(10793,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10794,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10793, 10792])).
% 72.65/45.82 tff(10795,plain,
% 72.65/45.82 (v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10794, 320, 10141])).
% 72.65/45.82 tff(10796,plain,
% 72.65/45.82 (v90(constB63, bitIndex2)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10795, 10776, 10788])).
% 72.65/45.82 tff(10797,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB63, bitIndex2)) | (~v122(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB63, bitIndex2)) | (~v122(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10798,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB63, bitIndex2)) | (~v122(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10799,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB63, bitIndex2)) | (~v122(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 72.65/45.82 tff(10800,plain,
% 72.65/45.82 (~v122(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10799, 1193, 10796])).
% 72.65/45.82 tff(10801,assumption,(v90(constB64, bitIndex1)), introduced(assumption)).
% 72.65/45.82 tff(10802,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10803,plain,
% 72.65/45.82 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1))) <=> (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10804,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10803])).
% 72.65/45.82 tff(10805,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10804, 10802])).
% 72.65/45.82 tff(10806,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10807,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 72.65/45.82 tff(10808,plain,
% 72.65/45.82 (v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10807, 341, 10141])).
% 72.65/45.82 tff(10809,plain,
% 72.65/45.82 (v90(constB63, bitIndex1)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10808, 10776, 10801])).
% 72.65/45.82 tff(10810,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v120(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10811,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v120(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10812,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v120(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 72.65/45.82 tff(10813,plain,
% 72.65/45.82 (~v120(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10812, 1240, 10809])).
% 72.65/45.82 tff(10814,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v124(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v124(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10815,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v124(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10816,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v124(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 72.65/45.82 tff(10817,plain,
% 72.65/45.82 (~v124(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10816, 1229, 10809])).
% 72.65/45.82 tff(10818,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10819,plain,
% 72.65/45.82 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))) <=> (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10820,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10819])).
% 72.65/45.82 tff(10821,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10820, 10818])).
% 72.65/45.82 tff(10822,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10823,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 72.65/45.82 tff(10824,plain,
% 72.65/45.82 (v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10823, 362, 10141])).
% 72.65/45.82 tff(10825,plain,
% 72.65/45.82 (v90(constB63, bitIndex0)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10824, 10776, 10737])).
% 72.65/45.82 tff(10826,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v119(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10827,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v119(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10828,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v119(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10827, 10826])).
% 72.65/45.82 tff(10829,plain,
% 72.65/45.82 (~v119(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10828, 3665, 10825])).
% 72.65/45.82 tff(10830,plain,
% 72.65/45.82 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))))),
% 72.65/45.82 inference(bind,[status(th)],[])).
% 72.65/45.82 tff(10831,plain,
% 72.65/45.82 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.65/45.82 inference(quant_intro,[status(thm)],[10830])).
% 72.65/45.82 tff(10832,plain,
% 72.65/45.82 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10833,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 72.65/45.82 tff(10834,plain,
% 72.65/45.82 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10833, 10832])).
% 72.65/45.82 tff(10835,plain,(
% 72.65/45.82 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.65/45.82 inference(skolemize,[status(sab)],[10834])).
% 72.65/45.82 tff(10836,plain,
% 72.65/45.82 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10835, 10831])).
% 72.65/45.82 tff(10837,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v121(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v121(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10838,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v121(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10839,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v121(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 72.65/45.82 tff(10840,plain,
% 72.65/45.82 (~v121(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10839, 10836, 10825])).
% 72.65/45.82 tff(10841,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v123(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v123(constB63)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10842,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB63, bitIndex0)) | (~v123(constB63)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10843,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB63, bitIndex0)) | (~v123(constB63))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 72.65/45.82 tff(10844,plain,
% 72.65/45.82 (~v123(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10843, 4161, 10825])).
% 72.65/45.82 tff(10845,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10846,plain,
% 72.65/45.82 ((v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0)) <=> (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10847,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10846])).
% 72.65/45.82 tff(10848,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10847, 10845])).
% 72.65/45.82 tff(10849,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10850,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | v130(constB63, bitIndex0)),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 72.65/45.82 tff(10851,plain,
% 72.65/45.82 ($false),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10850, 1396, 10844, 10840, 10829, 10817, 10813, 10800, 10787])).
% 72.65/45.82 tff(10852,plain,(v127(constB63, bitIndex0) | (~v90(constB64, bitIndex2)) | (~v90(constB64, bitIndex1)) | (~v90(constB64, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.65/45.82 tff(10853,plain,
% 72.65/45.82 (v127(constB63, bitIndex0)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10852, 10772, 10755, 10737])).
% 72.65/45.82 tff(10854,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB63)) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB63)) | (~v127(constB63, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10855,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB63)) | (~v127(constB63, bitIndex0)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10856,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB63)) | (~v127(constB63, bitIndex0))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 72.65/45.82 tff(10857,plain,
% 72.65/45.82 (~v26(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10856, 3193, 10853])).
% 72.65/45.82 tff(10858,plain,
% 72.65/45.82 (v130(constB63, bitIndex0)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10271, 769, 10853, 10857])).
% 72.65/45.82 tff(10859,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10860,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10861,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 72.65/45.82 tff(10862,plain,
% 72.65/45.82 (~v120(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10861, 1690, 10858])).
% 72.65/45.82 tff(10863,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10864,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10865,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 72.65/45.82 tff(10866,plain,
% 72.65/45.82 (~v119(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10865, 755, 10858])).
% 72.65/45.82 tff(10867,plain,
% 72.65/45.82 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10868,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10869,plain,
% 72.65/45.82 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 72.65/45.82 tff(10870,plain,
% 72.65/45.82 (~v122(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10869, 2182, 10858])).
% 72.65/45.82 tff(10871,plain,
% 72.65/45.82 (~v123(constB63)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10264, 1057, 10858])).
% 72.65/45.82 tff(10872,assumption,(v100(constB64)), introduced(assumption)).
% 72.65/45.82 tff(10873,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10874,plain,
% 72.65/45.82 (((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10875,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10874])).
% 72.65/45.82 tff(10876,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10875, 10873])).
% 72.65/45.82 tff(10877,plain,
% 72.65/45.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10878,plain,
% 72.65/45.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 72.65/45.82 tff(10879,plain,
% 72.65/45.82 (v129(constB64, bitIndex1) | (~v100(constB64))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10878, 728, 10801])).
% 72.65/45.82 tff(10880,plain,
% 72.65/45.82 (v129(constB64, bitIndex1)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10879, 10872])).
% 72.65/45.82 tff(10881,plain,
% 72.65/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10882,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10883,plain,
% 72.65/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 72.65/45.82 tff(10884,plain,
% 72.65/45.82 (v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10883, 713, 10141])).
% 72.65/45.82 tff(10885,plain,
% 72.65/45.82 (v127(constB63, bitIndex1)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10884, 10880])).
% 72.65/45.82 tff(10886,assumption,(~v26(constB63)), introduced(assumption)).
% 72.65/45.82 tff(10887,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10888,plain,
% 72.65/45.82 ((v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1))) <=> ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10889,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1)))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10888])).
% 72.65/45.82 tff(10890,plain,
% 72.65/45.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10889, 10887])).
% 72.65/45.82 tff(10891,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))),
% 72.65/45.82 inference(quant_inst,[status(thm)],[])).
% 72.65/45.82 tff(10892,plain,
% 72.65/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1)),
% 72.65/45.82 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 72.65/45.82 tff(10893,plain,
% 72.65/45.82 ((~v127(constB63, bitIndex1)) | v130(constB63, bitIndex1)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10892, 695, 10886])).
% 72.65/45.82 tff(10894,plain,
% 72.65/45.82 (v130(constB63, bitIndex1)),
% 72.65/45.82 inference(unit_resolution,[status(thm)],[10893, 10885])).
% 72.65/45.82 tff(10895,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10896,plain,
% 72.65/45.82 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.65/45.82 inference(rewrite,[status(thm)],[])).
% 72.65/45.82 tff(10897,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))))),
% 72.65/45.82 inference(monotonicity,[status(thm)],[10896])).
% 72.65/45.82 tff(10898,plain,
% 72.65/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.65/45.82 inference(transitivity,[status(thm)],[10897, 10895])).
% 72.65/45.83 tff(10899,plain,
% 72.65/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10900,plain,
% 72.65/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 72.65/45.83 tff(10901,plain,
% 72.65/45.83 (v129(constB64, bitIndex2) | (~v100(constB64))),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10900, 1304, 10788])).
% 72.65/45.83 tff(10902,plain,
% 72.65/45.83 (v129(constB64, bitIndex2)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10901, 10872])).
% 72.65/45.83 tff(10903,plain,
% 72.65/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10904,plain,
% 72.65/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10905,plain,
% 72.65/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 72.65/45.83 tff(10906,plain,
% 72.65/45.83 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10905, 1289, 10141])).
% 72.65/45.83 tff(10907,plain,
% 72.65/45.83 (v127(constB63, bitIndex2)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10906, 10902])).
% 72.65/45.83 tff(10908,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10909,plain,
% 72.65/45.83 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10910,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 72.65/45.83 inference(monotonicity,[status(thm)],[10909])).
% 72.65/45.83 tff(10911,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.65/45.83 inference(transitivity,[status(thm)],[10910, 10908])).
% 72.65/45.83 tff(10912,plain,
% 72.65/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10913,plain,
% 72.65/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 72.65/45.83 tff(10914,plain,
% 72.65/45.83 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10913, 1271, 10886])).
% 72.65/45.83 tff(10915,plain,
% 72.65/45.83 (v130(constB63, bitIndex2)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10914, 10907])).
% 72.65/45.83 tff(10916,plain,
% 72.65/45.83 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10917,plain,
% 72.65/45.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10918,plain,
% 72.65/45.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2))),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 72.65/45.83 tff(10919,plain,
% 72.65/45.83 (~v124(constB63)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10918, 3733, 10915])).
% 72.65/45.83 tff(10920,plain,
% 72.65/45.83 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10921,plain,
% 72.65/45.83 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10922,plain,
% 72.65/45.83 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2))),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 72.65/45.83 tff(10923,plain,
% 72.65/45.83 (~v121(constB63)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10922, 1748, 10915])).
% 72.65/45.83 tff(10924,assumption,(~v120(constB63)), introduced(assumption)).
% 72.65/45.83 tff(10925,assumption,(~v119(constB63)), introduced(assumption)).
% 72.65/45.83 tff(10926,assumption,(~v122(constB63)), introduced(assumption)).
% 72.65/45.83 tff(10927,assumption,(~v123(constB63)), introduced(assumption)).
% 72.65/45.83 tff(10928,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10929,plain,
% 72.65/45.83 ((v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1))) <=> (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10930,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1))))),
% 72.65/45.83 inference(monotonicity,[status(thm)],[10929])).
% 72.65/45.83 tff(10931,plain,
% 72.65/45.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1)))),
% 72.65/45.83 inference(transitivity,[status(thm)],[10930, 10928])).
% 72.65/45.83 tff(10932,plain,
% 72.65/45.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))),
% 72.65/45.83 inference(quant_inst,[status(thm)],[])).
% 72.65/45.83 tff(10933,plain,
% 72.65/45.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB63) | v123(constB63) | v121(constB63) | v119(constB63) | v124(constB63) | v122(constB63) | (~v130(constB63, bitIndex1))),
% 72.65/45.83 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 72.65/45.83 tff(10934,plain,
% 72.65/45.83 (v121(constB63) | v124(constB63) | (~v130(constB63, bitIndex1))),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10933, 1349, 10927, 10926, 10925, 10924])).
% 72.65/45.83 tff(10935,plain,
% 72.65/45.83 ($false),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10934, 10923, 10919, 10894])).
% 72.65/45.83 tff(10936,plain,((~v100(constB64)) | v123(constB63) | v122(constB63) | v119(constB63) | v120(constB63) | v26(constB63) | (~v90(constB64, bitIndex2)) | (~v90(constB64, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.65/45.83 tff(10937,plain,
% 72.65/45.83 (~v100(constB64)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10936, 10871, 10870, 10866, 10862, 10857, 10772, 10755])).
% 72.65/45.83 tff(10938,plain,
% 72.65/45.83 (v90(constB63, bitIndex0)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10824, 10937, 10737])).
% 72.65/45.83 tff(10939,plain,
% 72.65/45.83 (v90(constB62, bitIndex0)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10112, 10938])).
% 72.65/45.83 tff(10940,plain,
% 72.65/45.83 (v90(constB63, bitIndex1)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10808, 10937, 10755])).
% 72.65/45.83 tff(10941,plain,
% 72.65/45.83 (v90(constB62, bitIndex1)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10078, 10940])).
% 72.65/45.83 tff(10942,plain,
% 72.65/45.83 (v90(constB63, bitIndex2)),
% 72.65/45.83 inference(unit_resolution,[status(thm)],[10795, 10937, 10772])).
% 72.65/45.83 tff(10943,plain,
% 72.65/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.65/45.83 inference(rewrite,[status(thm)],[])).
% 72.65/45.83 tff(10944,plain,
% 72.65/45.83 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10945,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 72.68/45.83 inference(monotonicity,[status(thm)],[10944])).
% 72.68/45.83 tff(10946,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.68/45.83 inference(transitivity,[status(thm)],[10945, 10943])).
% 72.68/45.83 tff(10947,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10948,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 72.68/45.83 tff(10949,plain,
% 72.68/45.83 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10948, 320, 10024])).
% 72.68/45.83 tff(10950,plain,
% 72.68/45.83 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10949, 10036])).
% 72.68/45.83 tff(10951,plain,
% 72.68/45.83 (v90(constB62, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10950, 10942])).
% 72.68/45.83 tff(10952,assumption,(v123(constB59)), introduced(assumption)).
% 72.68/45.83 tff(10953,plain,
% 72.68/45.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB59) | (~v123(constB59)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB59) | (~v123(constB59)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10954,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB59) | (~v123(constB59)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10955,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB59) | (~v123(constB59))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 72.68/45.83 tff(10956,plain,
% 72.68/45.83 (v115(constB59)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10955, 840, 10952])).
% 72.68/45.83 tff(10957,plain,
% 72.68/45.83 (v114(constB59)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9731, 438, 10956])).
% 72.68/45.83 tff(10958,plain,
% 72.68/45.83 (v113(constB59)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9735, 449, 10957])).
% 72.68/45.83 tff(10959,plain,
% 72.68/45.83 (v108(constB59)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9755, 10958])).
% 72.68/45.83 tff(10960,plain,
% 72.68/45.83 (v110(constB60)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9766, 10959])).
% 72.68/45.83 tff(10961,plain,
% 72.68/45.83 (v100(constB60)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9798, 10960])).
% 72.68/45.83 tff(10962,plain,
% 72.68/45.83 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB59)) | v130(constB59, bitIndex2))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10963,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB59)) | v130(constB59, bitIndex2))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10964,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB59)) | v130(constB59, bitIndex2)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 72.68/45.83 tff(10965,plain,
% 72.68/45.83 (v130(constB59, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10964, 917, 10952])).
% 72.68/45.83 tff(10966,plain,
% 72.68/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10967,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10968,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 72.68/45.83 tff(10969,plain,
% 72.68/45.83 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10968, 596, 9807])).
% 72.68/45.83 tff(10970,plain,
% 72.68/45.83 (v127(constB59, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10969, 10965])).
% 72.68/45.83 tff(10971,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10972,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10973,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 72.68/45.83 tff(10974,plain,
% 72.68/45.83 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10973, 611, 9759])).
% 72.68/45.83 tff(10975,plain,
% 72.68/45.83 (v129(constB60, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10974, 10970])).
% 72.68/45.83 tff(10976,plain,
% 72.68/45.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10977,plain,
% 72.68/45.83 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10978,plain,
% 72.68/45.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))))),
% 72.68/45.83 inference(monotonicity,[status(thm)],[10977])).
% 72.68/45.83 tff(10979,plain,
% 72.68/45.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.68/45.83 inference(transitivity,[status(thm)],[10978, 10976])).
% 72.68/45.83 tff(10980,plain,
% 72.68/45.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10981,plain,
% 72.68/45.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 72.68/45.83 tff(10982,plain,
% 72.68/45.83 (v90(constB60, bitIndex2) | (~v100(constB60))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10981, 626, 10975])).
% 72.68/45.83 tff(10983,plain,
% 72.68/45.83 (v90(constB60, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10982, 10961])).
% 72.68/45.83 tff(10984,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10985,plain,
% 72.68/45.83 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10986,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)))),
% 72.68/45.83 inference(monotonicity,[status(thm)],[10985])).
% 72.68/45.83 tff(10987,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.68/45.83 inference(transitivity,[status(thm)],[10986, 10984])).
% 72.68/45.83 tff(10988,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10989,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 72.68/45.83 tff(10990,plain,
% 72.68/45.83 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10989, 662, 9834])).
% 72.68/45.83 tff(10991,plain,
% 72.68/45.83 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10990, 9846])).
% 72.68/45.83 tff(10992,plain,
% 72.68/45.83 (v90(constB61, bitIndex2)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10991, 10983])).
% 72.68/45.83 tff(10993,plain,
% 72.68/45.83 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB59)) | v130(constB59, bitIndex1))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(10994,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB59)) | v130(constB59, bitIndex1))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(10995,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB59)) | v130(constB59, bitIndex1)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 72.68/45.83 tff(10996,plain,
% 72.68/45.83 (v130(constB59, bitIndex1)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10995, 976, 10952])).
% 72.68/45.83 tff(10997,plain,
% 72.68/45.83 (v127(constB59, bitIndex1)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9863, 10996])).
% 72.68/45.83 tff(10998,plain,
% 72.68/45.83 (v129(constB60, bitIndex1)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9868, 10997])).
% 72.68/45.83 tff(10999,plain,
% 72.68/45.83 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9875, 1020, 10998])).
% 72.68/45.83 tff(11000,plain,
% 72.68/45.83 (v90(constB60, bitIndex1)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[10999, 10961])).
% 72.68/45.83 tff(11001,plain,
% 72.68/45.83 (v90(constB61, bitIndex1)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[9885, 11000])).
% 72.68/45.83 tff(11002,plain,
% 72.68/45.83 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11003,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(11004,plain,
% 72.68/45.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB59)) | (~v130(constB59, bitIndex0))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 72.68/45.83 tff(11005,plain,
% 72.68/45.83 (~v130(constB59, bitIndex0)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11004, 1057, 10952])).
% 72.68/45.83 tff(11006,plain,
% 72.68/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11007,plain,
% 72.68/45.83 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11008,plain,
% 72.68/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 72.68/45.83 inference(monotonicity,[status(thm)],[11007])).
% 72.68/45.83 tff(11009,plain,
% 72.68/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.68/45.83 inference(transitivity,[status(thm)],[11008, 11006])).
% 72.68/45.83 tff(11010,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(11011,plain,
% 72.68/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[11010, 11009])).
% 72.68/45.83 tff(11012,plain,
% 72.68/45.83 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11011, 769, 9807])).
% 72.68/45.83 tff(11013,plain,
% 72.68/45.83 (~v127(constB59, bitIndex0)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11012, 11005])).
% 72.68/45.83 tff(11014,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11015,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(11016,plain,
% 72.68/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 72.68/45.83 tff(11017,plain,
% 72.68/45.83 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11016, 787, 9759])).
% 72.68/45.83 tff(11018,plain,
% 72.68/45.83 (~v129(constB60, bitIndex0)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11017, 11013])).
% 72.68/45.83 tff(11019,plain,
% 72.68/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11020,plain,
% 72.68/45.83 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11021,plain,
% 72.68/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 72.68/45.83 inference(monotonicity,[status(thm)],[11020])).
% 72.68/45.83 tff(11022,plain,
% 72.68/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.68/45.83 inference(transitivity,[status(thm)],[11021, 11019])).
% 72.68/45.83 tff(11023,plain,
% 72.68/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 72.68/45.83 inference(quant_inst,[status(thm)],[])).
% 72.68/45.83 tff(11024,plain,
% 72.68/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 72.68/45.83 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 72.68/45.83 tff(11025,plain,
% 72.68/45.83 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11024, 802, 11018])).
% 72.68/45.83 tff(11026,plain,
% 72.68/45.83 (~v90(constB60, bitIndex0)),
% 72.68/45.83 inference(unit_resolution,[status(thm)],[11025, 10961])).
% 72.68/45.83 tff(11027,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11028,plain,
% 72.68/45.83 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.68/45.83 inference(rewrite,[status(thm)],[])).
% 72.68/45.83 tff(11029,plain,
% 72.68/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11028])).
% 72.68/45.84 tff(11030,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11029, 11027])).
% 72.68/45.84 tff(11031,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11032,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11031, 11030])).
% 72.68/45.84 tff(11033,plain,
% 72.68/45.84 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11032, 362, 9834])).
% 72.68/45.84 tff(11034,plain,
% 72.68/45.84 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11033, 9846])).
% 72.68/45.84 tff(11035,plain,
% 72.68/45.84 (~v90(constB61, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11034, 11026])).
% 72.68/45.84 tff(11036,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11037,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11038,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 72.68/45.84 tff(11039,plain,
% 72.68/45.84 (v125(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11038, 1101, 11035, 11001, 10992])).
% 72.68/45.84 tff(11040,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11041,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11042,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 72.68/45.84 tff(11043,plain,
% 72.68/45.84 (v113(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11042, 1112, 11039])).
% 72.68/45.84 tff(11044,plain,
% 72.68/45.84 (v112(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[9948, 11043])).
% 72.68/45.84 tff(11045,plain,
% 72.68/45.84 (v108(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[9952, 475, 11044])).
% 72.68/45.84 tff(11046,plain,
% 72.68/45.84 (v110(constB62)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[9963, 11045])).
% 72.68/45.84 tff(11047,plain,
% 72.68/45.84 (v100(constB62)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[9995, 11046])).
% 72.68/45.84 tff(11048,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11049,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11050,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11049, 11048])).
% 72.68/45.84 tff(11051,plain,
% 72.68/45.84 (~v121(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11050, 1182, 10992])).
% 72.68/45.84 tff(11052,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11053,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11054,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11053, 11052])).
% 72.68/45.84 tff(11055,plain,
% 72.68/45.84 (~v122(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11054, 1193, 10992])).
% 72.68/45.84 tff(11056,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11057,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11058,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11057, 11056])).
% 72.68/45.84 tff(11059,plain,
% 72.68/45.84 (~v119(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11058, 1207, 11001])).
% 72.68/45.84 tff(11060,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11061,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11062,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11061, 11060])).
% 72.68/45.84 tff(11063,plain,
% 72.68/45.84 (~v120(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11062, 1240, 11001])).
% 72.68/45.84 tff(11064,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11065,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11066,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11065, 11064])).
% 72.68/45.84 tff(11067,plain,
% 72.68/45.84 (~v123(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11066, 1218, 11001])).
% 72.68/45.84 tff(11068,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11069,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11070,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11069, 11068])).
% 72.68/45.84 tff(11071,plain,
% 72.68/45.84 (~v124(constB61)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11070, 1229, 11001])).
% 72.68/45.84 tff(11072,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11073,plain,
% 72.68/45.84 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11074,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11073])).
% 72.68/45.84 tff(11075,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11074, 11072])).
% 72.68/45.84 tff(11076,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11077,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 72.68/45.84 tff(11078,plain,
% 72.68/45.84 (~v130(constB61, bitIndex1)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11077, 1349, 11071, 11067, 11063, 11059, 11055, 11051])).
% 72.68/45.84 tff(11079,plain,
% 72.68/45.84 (~v127(constB61, bitIndex1)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10056, 11078])).
% 72.68/45.84 tff(11080,plain,
% 72.68/45.84 (~v129(constB62, bitIndex1)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10061, 11079])).
% 72.68/45.84 tff(11081,plain,
% 72.68/45.84 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10068, 728, 11080])).
% 72.68/45.84 tff(11082,plain,
% 72.68/45.84 (~v90(constB62, bitIndex1)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11081, 11047])).
% 72.68/45.84 tff(11083,plain,
% 72.68/45.84 (~v90(constB63, bitIndex1)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10078, 11082])).
% 72.68/45.84 tff(11084,plain,
% 72.68/45.84 (v100(constB64)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10808, 11083, 10801])).
% 72.68/45.84 tff(11085,plain,
% 72.68/45.84 (v129(constB64, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10775, 11084])).
% 72.68/45.84 tff(11086,plain,
% 72.68/45.84 (v127(constB63, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10277, 11085])).
% 72.68/45.84 tff(11087,plain,
% 72.68/45.84 (~v26(constB63)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10856, 3193, 11086])).
% 72.68/45.84 tff(11088,plain,
% 72.68/45.84 (v130(constB63, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10271, 769, 11086, 11087])).
% 72.68/45.84 tff(11089,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11090,plain,
% 72.68/45.84 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11091,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11090])).
% 72.68/45.84 tff(11092,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11091, 11089])).
% 72.68/45.84 tff(11093,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11094,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 72.68/45.84 tff(11095,plain,
% 72.68/45.84 (~v130(constB61, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11094, 1254, 11071, 11067, 11063, 11059, 11055, 11051])).
% 72.68/45.84 tff(11096,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11097,plain,
% 72.68/45.84 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11098,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11097])).
% 72.68/45.84 tff(11099,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11098, 11096])).
% 72.68/45.84 tff(11100,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11101,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 72.68/45.84 tff(11102,plain,
% 72.68/45.84 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11101, 1271, 9941])).
% 72.68/45.84 tff(11103,plain,
% 72.68/45.84 (~v127(constB61, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11102, 11095])).
% 72.68/45.84 tff(11104,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11105,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11106,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 72.68/45.84 tff(11107,plain,
% 72.68/45.84 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11106, 1289, 9956])).
% 72.68/45.84 tff(11108,plain,
% 72.68/45.84 (~v129(constB62, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11107, 11103])).
% 72.68/45.84 tff(11109,plain,
% 72.68/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11110,plain,
% 72.68/45.84 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11111,plain,
% 72.68/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11110])).
% 72.68/45.84 tff(11112,plain,
% 72.68/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11111, 11109])).
% 72.68/45.84 tff(11113,plain,
% 72.68/45.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11114,plain,
% 72.68/45.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 72.68/45.84 tff(11115,plain,
% 72.68/45.84 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11114, 1304, 11108])).
% 72.68/45.84 tff(11116,plain,
% 72.68/45.84 (~v90(constB62, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11115, 11047])).
% 72.68/45.84 tff(11117,plain,
% 72.68/45.84 (~v90(constB63, bitIndex2)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10950, 11116])).
% 72.68/45.84 tff(11118,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11119,plain,
% 72.68/45.84 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11120,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11119])).
% 72.68/45.84 tff(11121,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11120, 11118])).
% 72.68/45.84 tff(11122,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11123,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11122, 11121])).
% 72.68/45.84 tff(11124,plain,
% 72.68/45.84 (v130(constB61, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11123, 1396, 11071, 11067, 11063, 11059, 11055, 11051])).
% 72.68/45.84 tff(11125,plain,
% 72.68/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11126,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11127,plain,
% 72.68/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 72.68/45.84 tff(11128,plain,
% 72.68/45.84 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11127, 1413, 9941])).
% 72.68/45.84 tff(11129,plain,
% 72.68/45.84 (v127(constB61, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11128, 11124])).
% 72.68/45.84 tff(11130,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11131,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11132,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 72.68/45.84 tff(11133,plain,
% 72.68/45.84 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11132, 1428, 9956])).
% 72.68/45.84 tff(11134,plain,
% 72.68/45.84 (v129(constB62, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11133, 11129])).
% 72.68/45.84 tff(11135,plain,
% 72.68/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11136,plain,
% 72.68/45.84 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11137,plain,
% 72.68/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11136])).
% 72.68/45.84 tff(11138,plain,
% 72.68/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11137, 11135])).
% 72.68/45.84 tff(11139,plain,
% 72.68/45.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11140,plain,
% 72.68/45.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 72.68/45.84 tff(11141,plain,
% 72.68/45.84 (v90(constB62, bitIndex0) | (~v100(constB62))),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11140, 1443, 11134])).
% 72.68/45.84 tff(11142,plain,
% 72.68/45.84 (v90(constB62, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11141, 11047])).
% 72.68/45.84 tff(11143,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11144,plain,
% 72.68/45.84 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11145,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11144])).
% 72.68/45.84 tff(11146,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11145, 11143])).
% 72.68/45.84 tff(11147,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11148,plain,
% 72.68/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11147, 11146])).
% 72.68/45.84 tff(11149,plain,
% 72.68/45.84 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11148, 1461, 10024])).
% 72.68/45.84 tff(11150,plain,
% 72.68/45.84 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11149, 10036])).
% 72.68/45.84 tff(11151,plain,
% 72.68/45.84 (v90(constB63, bitIndex0)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11150, 11142])).
% 72.68/45.84 tff(11152,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11153,plain,
% 72.68/45.84 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.68/45.84 inference(rewrite,[status(thm)],[])).
% 72.68/45.84 tff(11154,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)))),
% 72.68/45.84 inference(monotonicity,[status(thm)],[11153])).
% 72.68/45.84 tff(11155,plain,
% 72.68/45.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.68/45.84 inference(transitivity,[status(thm)],[11154, 11152])).
% 72.68/45.84 tff(11156,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 72.68/45.84 inference(quant_inst,[status(thm)],[])).
% 72.68/45.84 tff(11157,plain,
% 72.68/45.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 72.68/45.84 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 72.68/45.84 tff(11158,plain,
% 72.68/45.84 (v120(constB63)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11157, 1480, 11151, 11083, 11117])).
% 72.68/45.84 tff(11159,plain,
% 72.68/45.84 ($false),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[10861, 1690, 11158, 11088])).
% 72.68/45.84 tff(11160,plain,((~v123(constB59)) | (~v90(constB64, bitIndex0)) | (~v90(constB64, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.84 tff(11161,plain,
% 72.68/45.84 (~v123(constB59)),
% 72.68/45.84 inference(unit_resolution,[status(thm)],[11160, 10755, 10737])).
% 72.68/45.84 tff(11162,assumption,(v90(constB62, bitIndex2)), introduced(assumption)).
% 72.68/45.84 tff(11163,assumption,(~v100(constB62)), introduced(assumption)).
% 72.68/45.84 tff(11164,plain,
% 72.68/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11165,plain,
% 72.68/45.85 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))) <=> (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11166,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11165])).
% 72.68/45.85 tff(11167,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11166, 11164])).
% 72.68/45.85 tff(11168,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11169,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 72.68/45.85 tff(11170,plain,
% 72.68/45.85 (v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11169, 320, 9956])).
% 72.68/45.85 tff(11171,plain,
% 72.68/45.85 (v90(constB61, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11170, 11163, 11162])).
% 72.68/45.85 tff(11172,plain,
% 72.68/45.85 (v90(constB60, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9854, 11171])).
% 72.68/45.85 tff(11173,assumption,(v90(constB62, bitIndex1)), introduced(assumption)).
% 72.68/45.85 tff(11174,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11175,plain,
% 72.68/45.85 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1))) <=> (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11176,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11175])).
% 72.68/45.85 tff(11177,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11176, 11174])).
% 72.68/45.85 tff(11178,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11179,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 72.68/45.85 tff(11180,plain,
% 72.68/45.85 (v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11179, 341, 9956])).
% 72.68/45.85 tff(11181,plain,
% 72.68/45.85 (v90(constB61, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11180, 11163, 11173])).
% 72.68/45.85 tff(11182,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11183,plain,
% 72.68/45.85 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11184,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11183])).
% 72.68/45.85 tff(11185,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11184, 11182])).
% 72.68/45.85 tff(11186,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11187,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 72.68/45.85 tff(11188,plain,
% 72.68/45.85 (v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11187, 341, 9834])).
% 72.68/45.85 tff(11189,plain,
% 72.68/45.85 (v90(constB60, bitIndex1) | (~v90(constB61, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11188, 9846])).
% 72.68/45.85 tff(11190,plain,
% 72.68/45.85 (v90(constB60, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11189, 11181])).
% 72.68/45.85 tff(11191,assumption,(v90(constB62, bitIndex0)), introduced(assumption)).
% 72.68/45.85 tff(11192,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11193,plain,
% 72.68/45.85 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))) <=> (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11194,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11193])).
% 72.68/45.85 tff(11195,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11194, 11192])).
% 72.68/45.85 tff(11196,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11197,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11196, 11195])).
% 72.68/45.85 tff(11198,plain,
% 72.68/45.85 (v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11197, 362, 9956])).
% 72.68/45.85 tff(11199,plain,
% 72.68/45.85 (v90(constB61, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11198, 11163, 11191])).
% 72.68/45.85 tff(11200,plain,
% 72.68/45.85 (v90(constB60, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11034, 11199])).
% 72.68/45.85 tff(11201,assumption,(v90(constB60, bitIndex0)), introduced(assumption)).
% 72.68/45.85 tff(11202,assumption,(~v100(constB60)), introduced(assumption)).
% 72.68/45.85 tff(11203,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11204,plain,
% 72.68/45.85 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))) <=> (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11205,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11204])).
% 72.68/45.85 tff(11206,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11205, 11203])).
% 72.68/45.85 tff(11207,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11208,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 72.68/45.85 tff(11209,plain,
% 72.68/45.85 (v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11208, 362, 9759])).
% 72.68/45.85 tff(11210,plain,
% 72.68/45.85 (v90(constB59, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11209, 11202, 11201])).
% 72.68/45.85 tff(11211,plain,
% 72.68/45.85 (v90(constB58, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9711, 11210])).
% 72.68/45.85 tff(11212,assumption,(v90(constB60, bitIndex1)), introduced(assumption)).
% 72.68/45.85 tff(11213,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11214,plain,
% 72.68/45.85 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))) <=> (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11215,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11214])).
% 72.68/45.85 tff(11216,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11215, 11213])).
% 72.68/45.85 tff(11217,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11218,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 72.68/45.85 tff(11219,plain,
% 72.68/45.85 (v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11218, 341, 9759])).
% 72.68/45.85 tff(11220,plain,
% 72.68/45.85 (v90(constB59, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11219, 11202, 11212])).
% 72.68/45.85 tff(11221,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11222,plain,
% 72.68/45.85 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11223,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11222])).
% 72.68/45.85 tff(11224,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11223, 11221])).
% 72.68/45.85 tff(11225,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11226,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11225, 11224])).
% 72.68/45.85 tff(11227,plain,
% 72.68/45.85 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11226, 341, 9663])).
% 72.68/45.85 tff(11228,plain,
% 72.68/45.85 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11227, 9675])).
% 72.68/45.85 tff(11229,plain,
% 72.68/45.85 (v90(constB58, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11228, 11220])).
% 72.68/45.85 tff(11230,assumption,(v90(constB60, bitIndex2)), introduced(assumption)).
% 72.68/45.85 tff(11231,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11232,plain,
% 72.68/45.85 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))) <=> (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11233,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11232])).
% 72.68/45.85 tff(11234,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11233, 11231])).
% 72.68/45.85 tff(11235,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11236,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11235, 11234])).
% 72.68/45.85 tff(11237,plain,
% 72.68/45.85 (v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11236, 320, 9759])).
% 72.68/45.85 tff(11238,plain,
% 72.68/45.85 (v90(constB59, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11237, 11202, 11230])).
% 72.68/45.85 tff(11239,plain,
% 72.68/45.85 (v90(constB58, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9683, 11238])).
% 72.68/45.85 tff(11240,assumption,(v90(constB58, bitIndex2)), introduced(assumption)).
% 72.68/45.85 tff(11241,plain,
% 72.68/45.85 (v100(constB58)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9316, 9309, 11240])).
% 72.68/45.85 tff(11242,plain,
% 72.68/45.85 (v129(constB58, bitIndex2) | (~v100(constB58))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9655, 1304, 11240])).
% 72.68/45.85 tff(11243,plain,
% 72.68/45.85 (v129(constB58, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11242, 11241])).
% 72.68/45.85 tff(11244,plain,
% 72.68/45.85 (v127(constB57, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9237, 11243])).
% 72.68/45.85 tff(11245,plain,
% 72.68/45.85 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB57)) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB57)) | (~v127(constB57, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11246,plain,
% 72.68/45.85 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB57)) | (~v127(constB57, bitIndex2)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11247,plain,
% 72.68/45.85 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB57)) | (~v127(constB57, bitIndex2))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11246, 11245])).
% 72.68/45.85 tff(11248,plain,
% 72.68/45.85 (~v26(constB57)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11247, 4054, 11244])).
% 72.68/45.85 tff(11249,plain,
% 72.68/45.85 (v129(constB58, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9525, 11241])).
% 72.68/45.85 tff(11250,plain,
% 72.68/45.85 (v127(constB57, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9530, 11249])).
% 72.68/45.85 tff(11251,plain,
% 72.68/45.85 (v130(constB57, bitIndex0)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9537, 769, 11250, 11248])).
% 72.68/45.85 tff(11252,plain,
% 72.68/45.85 (~v119(constB57)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9542, 755, 11251])).
% 72.68/45.85 tff(11253,plain,
% 72.68/45.85 (v130(constB57, bitIndex2)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9228, 1271, 11244, 11248])).
% 72.68/45.85 tff(11254,plain,
% 72.68/45.85 (~v120(constB57)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9217, 1587, 11253])).
% 72.68/45.85 tff(11255,plain,
% 72.68/45.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11256,plain,
% 72.68/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11257,plain,
% 72.68/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 72.68/45.85 tff(11258,plain,
% 72.68/45.85 (~v121(constB57)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11257, 1748, 11253])).
% 72.68/45.85 tff(11259,plain,
% 72.68/45.85 (~v122(constB57)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[9608, 2182, 11251])).
% 72.68/45.85 tff(11260,assumption,(v90(constB58, bitIndex1)), introduced(assumption)).
% 72.68/45.85 tff(11261,plain,
% 72.68/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11262,plain,
% 72.68/45.85 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11263,plain,
% 72.68/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11262])).
% 72.68/45.85 tff(11264,plain,
% 72.68/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11263, 11261])).
% 72.68/45.85 tff(11265,plain,
% 72.68/45.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11266,plain,
% 72.68/45.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 72.68/45.85 tff(11267,plain,
% 72.68/45.85 (v129(constB58, bitIndex1) | (~v100(constB58))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11266, 728, 11260])).
% 72.68/45.85 tff(11268,plain,
% 72.68/45.85 (v129(constB58, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11267, 11241])).
% 72.68/45.85 tff(11269,plain,
% 72.68/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11270,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11271,plain,
% 72.68/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 72.68/45.85 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 72.68/45.85 tff(11272,plain,
% 72.68/45.85 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11271, 713, 9233])).
% 72.68/45.85 tff(11273,plain,
% 72.68/45.85 (v127(constB57, bitIndex1)),
% 72.68/45.85 inference(unit_resolution,[status(thm)],[11272, 11268])).
% 72.68/45.85 tff(11274,plain,
% 72.68/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11275,plain,
% 72.68/45.85 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.68/45.85 inference(rewrite,[status(thm)],[])).
% 72.68/45.85 tff(11276,plain,
% 72.68/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 72.68/45.85 inference(monotonicity,[status(thm)],[11275])).
% 72.68/45.85 tff(11277,plain,
% 72.68/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.68/45.85 inference(transitivity,[status(thm)],[11276, 11274])).
% 72.68/45.85 tff(11278,plain,
% 72.68/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 72.68/45.85 inference(quant_inst,[status(thm)],[])).
% 72.68/45.85 tff(11279,plain,
% 72.68/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 72.68/45.86 tff(11280,plain,
% 72.68/45.86 (v130(constB57, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11279, 695, 11273, 11248])).
% 72.68/45.86 tff(11281,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11282,plain,
% 72.68/45.86 ((v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1))) <=> (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11283,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1))))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11282])).
% 72.68/45.86 tff(11284,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.68/45.86 inference(transitivity,[status(thm)],[11283, 11281])).
% 72.68/45.86 tff(11285,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11286,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 72.68/45.86 tff(11287,plain,
% 72.68/45.86 ($false),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11286, 1349, 11280, 9445, 9434, 11259, 11258, 11254, 11252])).
% 72.68/45.86 tff(11288,plain,(v90(constB57, bitIndex2) | (~v90(constB58, bitIndex1)) | (~v90(constB58, bitIndex0)) | (~v90(constB58, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.86 tff(11289,plain,
% 72.68/45.86 (v90(constB57, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11288, 11211, 11239, 11229])).
% 72.68/45.86 tff(11290,assumption,(v90(constB57, bitIndex2)), introduced(assumption)).
% 72.68/45.86 tff(11291,plain,
% 72.68/45.86 (v90(constB56, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9205, 11290])).
% 72.68/45.86 tff(11292,plain,
% 72.68/45.86 (~v120(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9186, 11291])).
% 72.68/45.86 tff(11293,assumption,(~v90(constB54, bitIndex2)), introduced(assumption)).
% 72.68/45.86 tff(11294,plain,
% 72.68/45.86 (v127(constB55, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9196, 11291])).
% 72.68/45.86 tff(11295,plain,
% 72.68/45.86 (~v26(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9157, 4054, 11294])).
% 72.68/45.86 tff(11296,plain,
% 72.68/45.86 (v130(constB55, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8418, 1271, 11294, 11295])).
% 72.68/45.86 tff(11297,plain,
% 72.68/45.86 (~v110(constB54)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8104, 8504])).
% 72.68/45.86 tff(11298,plain,
% 72.68/45.86 (~v108(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8072, 11297])).
% 72.68/45.86 tff(11299,plain,
% 72.68/45.86 (~v112(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8061, 475, 11298])).
% 72.68/45.86 tff(11300,plain,
% 72.68/45.86 (~v113(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8057, 11299])).
% 72.68/45.86 tff(11301,plain,
% 72.68/45.86 (~v114(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8045, 449, 11300])).
% 72.68/45.86 tff(11302,plain,
% 72.68/45.86 (~v115(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8041, 438, 11301])).
% 72.68/45.86 tff(11303,plain,
% 72.68/45.86 (~v123(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8037, 840, 11302])).
% 72.68/45.86 tff(11304,plain,
% 72.68/45.86 (~v116(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9135, 427, 11302])).
% 72.68/45.86 tff(11305,plain,
% 72.68/45.86 (~v117(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9131, 416, 11304])).
% 72.68/45.86 tff(11306,plain,
% 72.68/45.86 (~v118(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9127, 405, 11305])).
% 72.68/45.86 tff(11307,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB53) | (~v119(constB53)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB53) | (~v119(constB53)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11308,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB53) | (~v119(constB53)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11309,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB53) | (~v119(constB53))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 72.68/45.86 tff(11310,plain,
% 72.68/45.86 (~v119(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11309, 394, 11306])).
% 72.68/45.86 tff(11311,assumption,(~v120(constB53)), introduced(assumption)).
% 72.68/45.86 tff(11312,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB53) | (~v124(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB53) | (~v124(constB53)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11313,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB53) | (~v124(constB53)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11314,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB53) | (~v124(constB53))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 72.68/45.86 tff(11315,plain,
% 72.68/45.86 (~v124(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11314, 3631, 11301])).
% 72.68/45.86 tff(11316,assumption,(~v90(constB53, bitIndex1)), introduced(assumption)).
% 72.68/45.86 tff(11317,assumption,(~v123(constB53)), introduced(assumption)).
% 72.68/45.86 tff(11318,assumption,(~v119(constB53)), introduced(assumption)).
% 72.68/45.86 tff(11319,assumption,(~v90(constB53, bitIndex0)), introduced(assumption)).
% 72.68/45.86 tff(11320,plain,
% 72.68/45.86 (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2))),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8033, 829, 11317])).
% 72.68/45.86 tff(11321,plain,
% 72.68/45.86 (~v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11320, 11319, 11316])).
% 72.68/45.86 tff(11322,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB53) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB53) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11323,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB53) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11324,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB53) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11323, 11322])).
% 72.68/45.86 tff(11325,plain,
% 72.68/45.86 (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11324, 383, 11318])).
% 72.68/45.86 tff(11326,plain,
% 72.68/45.86 ($false),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11325, 11321, 11319, 11316])).
% 72.68/45.86 tff(11327,plain,(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | v119(constB53) | v123(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.86 tff(11328,plain,
% 72.68/45.86 (v90(constB53, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11327, 11316, 11318, 11317])).
% 72.68/45.86 tff(11329,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11330,plain,
% 72.68/45.86 (((~v90(constB53, bitIndex0)) | v120(constB53) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2)) <=> ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11331,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB53, bitIndex0)) | v120(constB53) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53)))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11330])).
% 72.68/45.86 tff(11332,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB53, bitIndex0)) | v120(constB53) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53))),
% 72.68/45.86 inference(transitivity,[status(thm)],[11331, 11329])).
% 72.68/45.86 tff(11333,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB53, bitIndex0)) | v120(constB53) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11334,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2) | v120(constB53)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 72.68/45.86 tff(11335,plain,
% 72.68/45.86 ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11334, 1480, 11311])).
% 72.68/45.86 tff(11336,plain,
% 72.68/45.86 (v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11335, 11328, 11316])).
% 72.68/45.86 tff(11337,assumption,(~v124(constB53)), introduced(assumption)).
% 72.68/45.86 tff(11338,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v124(constB53))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v124(constB53))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11339,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v124(constB53))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11340,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v124(constB53)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 72.68/45.86 tff(11341,plain,
% 72.68/45.86 ((~v90(constB53, bitIndex0)) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2))),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11340, 3620, 11337])).
% 72.68/45.86 tff(11342,plain,
% 72.68/45.86 ($false),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11341, 11336, 11328, 11316])).
% 72.68/45.86 tff(11343,plain,(v90(constB53, bitIndex1) | v124(constB53) | v120(constB53) | v119(constB53) | v123(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.86 tff(11344,plain,
% 72.68/45.86 (v90(constB53, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11343, 11315, 11311, 11310, 11303])).
% 72.68/45.86 tff(11345,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11346,plain,
% 72.68/45.86 (((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex1)) | v100(constB54) | v90(constB54, bitIndex1)) <=> ((~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11347,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex1)) | v100(constB54) | v90(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1)))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11346])).
% 72.68/45.86 tff(11348,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex1)) | v100(constB54) | v90(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1))),
% 72.68/45.86 inference(transitivity,[status(thm)],[11347, 11345])).
% 72.68/45.86 tff(11349,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex1)) | v100(constB54) | v90(constB54, bitIndex1))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11350,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex1)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 72.68/45.86 tff(11351,plain,
% 72.68/45.86 ((~v90(constB53, bitIndex1)) | v100(constB54) | v90(constB54, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11350, 1038, 8065])).
% 72.68/45.86 tff(11352,plain,
% 72.68/45.86 (v90(constB54, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11351, 11344, 8504])).
% 72.68/45.86 tff(11353,plain,
% 72.68/45.86 (v90(constB55, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8192, 11352])).
% 72.68/45.86 tff(11354,plain,
% 72.68/45.86 (~v123(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8208, 1218, 11353])).
% 72.68/45.86 tff(11355,assumption,(v130(constB55, bitIndex2)), introduced(assumption)).
% 72.68/45.86 tff(11356,plain,
% 72.68/45.86 (~v121(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9184, 1748, 11355])).
% 72.68/45.86 tff(11357,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11358,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11359,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB55)) | (~v130(constB55, bitIndex2))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 72.68/45.86 tff(11360,plain,
% 72.68/45.86 (~v120(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11359, 1587, 11355])).
% 72.68/45.86 tff(11361,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11362,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB55)) | (~v130(constB55, bitIndex2)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11363,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB55)) | (~v130(constB55, bitIndex2))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 72.68/45.86 tff(11364,plain,
% 72.68/45.86 (~v124(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11363, 3733, 11355])).
% 72.68/45.86 tff(11365,plain,
% 72.68/45.86 (~v119(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8196, 1207, 11353])).
% 72.68/45.86 tff(11366,plain,
% 72.68/45.86 (v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8411, 1254, 11355])).
% 72.68/45.86 tff(11367,plain,
% 72.68/45.86 (v122(constB55)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11366, 11365, 11364, 11360, 11356, 11354])).
% 72.68/45.86 tff(11368,plain,
% 72.68/45.86 (~v90(constB55, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8161, 1193, 11367])).
% 72.68/45.86 tff(11369,plain,
% 72.68/45.86 (~v90(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8153, 11368])).
% 72.68/45.86 tff(11370,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11371,plain,
% 72.68/45.86 (((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex2)) | v100(constB54) | v90(constB54, bitIndex2)) <=> ((~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11372,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex2)) | v100(constB54) | v90(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2)))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11371])).
% 72.68/45.86 tff(11373,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex2)) | v100(constB54) | v90(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2))),
% 72.68/45.86 inference(transitivity,[status(thm)],[11372, 11370])).
% 72.68/45.86 tff(11374,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v90(constB53, bitIndex2)) | v100(constB54) | v90(constB54, bitIndex2))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11375,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v100(constB54) | v90(constB54, bitIndex2)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11374, 11373])).
% 72.68/45.86 tff(11376,plain,
% 72.68/45.86 ((~v90(constB53, bitIndex2)) | v100(constB54) | v90(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11375, 662, 8065])).
% 72.68/45.86 tff(11377,plain,
% 72.68/45.86 (~v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11376, 11369, 8504])).
% 72.68/45.86 tff(11378,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB55, bitIndex0) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB55, bitIndex0) | (~v122(constB55)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11379,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB55, bitIndex0) | (~v122(constB55)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11380,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB55, bitIndex0) | (~v122(constB55))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 72.68/45.86 tff(11381,plain,
% 72.68/45.86 (v90(constB55, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11380, 3752, 11367])).
% 72.68/45.86 tff(11382,plain,
% 72.68/45.86 (v90(constB54, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8266, 11381])).
% 72.68/45.86 tff(11383,plain,
% 72.68/45.86 (v90(constB53, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8511, 11382, 8504])).
% 72.68/45.86 tff(11384,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB53) | (~v122(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB53) | (~v122(constB53)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11385,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB53) | (~v122(constB53)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11386,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB53) | (~v122(constB53))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 72.68/45.86 tff(11387,plain,
% 72.68/45.86 (~v122(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11386, 1997, 11304])).
% 72.68/45.86 tff(11388,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB53, bitIndex0)) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v122(constB53))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB53, bitIndex0)) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v122(constB53))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11389,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB53, bitIndex0)) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v122(constB53))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11390,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB53, bitIndex0)) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v122(constB53)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 72.68/45.86 tff(11391,plain,
% 72.68/45.86 ((~v90(constB53, bitIndex0)) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11390, 1986, 11387])).
% 72.68/45.86 tff(11392,plain,
% 72.68/45.86 ($false),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11391, 11383, 11377, 11344])).
% 72.68/45.86 tff(11393,plain,(v100(constB54) | (~v130(constB55, bitIndex2)) | v120(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.86 tff(11394,plain,
% 72.68/45.86 (v100(constB54)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11393, 11296, 11292])).
% 72.68/45.86 tff(11395,plain,
% 72.68/45.86 (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2))),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8125, 626, 11394])).
% 72.68/45.86 tff(11396,plain,
% 72.68/45.86 (~v129(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11395, 11293])).
% 72.68/45.86 tff(11397,plain,
% 72.68/45.86 (~v127(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8118, 11396])).
% 72.68/45.86 tff(11398,plain,
% 72.68/45.86 (~v130(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8113, 11397])).
% 72.68/45.86 tff(11399,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB53)) | v130(constB53, bitIndex2))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11400,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB53)) | v130(constB53, bitIndex2))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11401,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB53)) | v130(constB53, bitIndex2)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 72.68/45.86 tff(11402,plain,
% 72.68/45.86 (~v122(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11401, 2079, 11398])).
% 72.68/45.86 tff(11403,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB53)) | v130(constB53, bitIndex2))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11404,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB53)) | v130(constB53, bitIndex2))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11405,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB53)) | v130(constB53, bitIndex2)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 72.68/45.86 tff(11406,plain,
% 72.68/45.86 (~v119(constB53)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11405, 582, 11398])).
% 72.68/45.86 tff(11407,assumption,(v121(constB53)), introduced(assumption)).
% 72.68/45.86 tff(11408,plain,
% 72.68/45.86 (~v130(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9092, 1748, 11407])).
% 72.68/45.86 tff(11409,plain,
% 72.68/45.86 (~v127(constB53, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9088, 11408])).
% 72.68/45.86 tff(11410,plain,
% 72.68/45.86 (~v129(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9080, 11409])).
% 72.68/45.86 tff(11411,plain,
% 72.68/45.86 ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[9074, 1304, 11394])).
% 72.68/45.86 tff(11412,plain,
% 72.68/45.86 (~v90(constB54, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11411, 11410])).
% 72.68/45.86 tff(11413,plain,
% 72.68/45.86 (~v90(constB55, bitIndex2)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8501, 11412])).
% 72.68/45.86 tff(11414,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11415,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11416,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 72.68/45.86 tff(11417,plain,
% 72.68/45.86 (v130(constB53, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11416, 1904, 11407])).
% 72.68/45.86 tff(11418,plain,
% 72.68/45.86 (v127(constB53, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8170, 11417])).
% 72.68/45.86 tff(11419,plain,
% 72.68/45.86 (v129(constB54, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8175, 11418])).
% 72.68/45.86 tff(11420,plain,
% 72.68/45.86 (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8182, 1020, 11394])).
% 72.68/45.86 tff(11421,plain,
% 72.68/45.86 (v90(constB54, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11420, 11419])).
% 72.68/45.86 tff(11422,plain,
% 72.68/45.86 (v90(constB55, bitIndex1)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[8192, 11421])).
% 72.68/45.86 tff(11423,plain,
% 72.68/45.86 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11424,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11425,plain,
% 72.68/45.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 72.68/45.86 tff(11426,plain,
% 72.68/45.86 (v130(constB53, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11425, 1945, 11407])).
% 72.68/45.86 tff(11427,plain,
% 72.68/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11428,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11429,plain,
% 72.68/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 72.68/45.86 tff(11430,plain,
% 72.68/45.86 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11429, 1413, 8050])).
% 72.68/45.86 tff(11431,plain,
% 72.68/45.86 (v127(constB53, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11430, 11426])).
% 72.68/45.86 tff(11432,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11433,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11434,plain,
% 72.68/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 72.68/45.86 tff(11435,plain,
% 72.68/45.86 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11434, 1428, 8065])).
% 72.68/45.86 tff(11436,plain,
% 72.68/45.86 (v129(constB54, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11435, 11431])).
% 72.68/45.86 tff(11437,plain,
% 72.68/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11438,plain,
% 72.68/45.86 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11439,plain,
% 72.68/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11438])).
% 72.68/45.86 tff(11440,plain,
% 72.68/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.68/45.86 inference(transitivity,[status(thm)],[11439, 11437])).
% 72.68/45.86 tff(11441,plain,
% 72.68/45.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 72.68/45.86 inference(quant_inst,[status(thm)],[])).
% 72.68/45.86 tff(11442,plain,
% 72.68/45.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 72.68/45.86 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 72.68/45.86 tff(11443,plain,
% 72.68/45.86 (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0))),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11442, 1443, 11394])).
% 72.68/45.86 tff(11444,plain,
% 72.68/45.86 (v90(constB54, bitIndex0)),
% 72.68/45.86 inference(unit_resolution,[status(thm)],[11443, 11436])).
% 72.68/45.86 tff(11445,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11446,plain,
% 72.68/45.86 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.68/45.86 inference(rewrite,[status(thm)],[])).
% 72.68/45.86 tff(11447,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)))),
% 72.68/45.86 inference(monotonicity,[status(thm)],[11446])).
% 72.68/45.86 tff(11448,plain,
% 72.68/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11447, 11445])).
% 72.68/45.87 tff(11449,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11450,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 72.68/45.87 tff(11451,plain,
% 72.68/45.87 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11450, 1461, 8133])).
% 72.68/45.87 tff(11452,plain,
% 72.68/45.87 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11451, 8145])).
% 72.68/45.87 tff(11453,plain,
% 72.68/45.87 (v90(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11452, 11444])).
% 72.68/45.87 tff(11454,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11455,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11456,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11455, 11454])).
% 72.68/45.87 tff(11457,plain,
% 72.68/45.87 (v122(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11456, 1986, 11453, 11422, 11413])).
% 72.68/45.87 tff(11458,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11459,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11460,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 72.68/45.87 tff(11461,plain,
% 72.68/45.87 (~v130(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11460, 2182, 11457])).
% 72.68/45.87 tff(11462,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11463,plain,
% 72.68/45.87 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11464,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 72.68/45.87 inference(monotonicity,[status(thm)],[11463])).
% 72.68/45.87 tff(11465,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11464, 11462])).
% 72.68/45.87 tff(11466,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11467,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11466, 11465])).
% 72.68/45.87 tff(11468,plain,
% 72.68/45.87 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11467, 769, 11295])).
% 72.68/45.87 tff(11469,plain,
% 72.68/45.87 (~v127(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11468, 11461])).
% 72.68/45.87 tff(11470,plain,
% 72.68/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11471,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11472,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 72.68/45.87 tff(11473,plain,
% 72.68/45.87 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11472, 787, 8228])).
% 72.68/45.87 tff(11474,plain,
% 72.68/45.87 (~v129(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11473, 11469])).
% 72.68/45.87 tff(11475,plain,
% 72.68/45.87 (v100(constB56)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8446, 11413, 11291])).
% 72.68/45.87 tff(11476,plain,
% 72.68/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11477,plain,
% 72.68/45.87 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11478,plain,
% 72.68/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 72.68/45.87 inference(monotonicity,[status(thm)],[11477])).
% 72.68/45.87 tff(11479,plain,
% 72.68/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11478, 11476])).
% 72.68/45.87 tff(11480,plain,
% 72.68/45.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11481,plain,
% 72.68/45.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 72.68/45.87 tff(11482,plain,
% 72.68/45.87 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11481, 802, 11475])).
% 72.68/45.87 tff(11483,plain,
% 72.68/45.87 (~v90(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11482, 11474])).
% 72.68/45.87 tff(11484,plain,
% 72.68/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11485,plain,
% 72.68/45.87 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11486,plain,
% 72.68/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 72.68/45.87 inference(monotonicity,[status(thm)],[11485])).
% 72.68/45.87 tff(11487,plain,
% 72.68/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11486, 11484])).
% 72.68/45.87 tff(11488,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11489,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11488, 11487])).
% 72.68/45.87 tff(11490,plain,
% 72.68/45.87 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11489, 362, 8348])).
% 72.68/45.87 tff(11491,plain,
% 72.68/45.87 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11490, 8360])).
% 72.68/45.87 tff(11492,plain,
% 72.68/45.87 (~v90(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11491, 11483])).
% 72.68/45.87 tff(11493,plain,
% 72.68/45.87 (v100(constB58)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9506, 11492, 9499])).
% 72.68/45.87 tff(11494,plain,
% 72.68/45.87 (v129(constB58, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9525, 11493])).
% 72.68/45.87 tff(11495,plain,
% 72.68/45.87 (v127(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9530, 11494])).
% 72.68/45.87 tff(11496,plain,
% 72.68/45.87 (v130(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9538, 11495])).
% 72.68/45.87 tff(11497,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11498,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11499,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 72.68/45.87 tff(11500,plain,
% 72.68/45.87 (~v130(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11499, 2138, 11457])).
% 72.68/45.87 tff(11501,plain,
% 72.68/45.87 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8382, 695, 11295])).
% 72.68/45.87 tff(11502,plain,
% 72.68/45.87 (~v127(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11501, 11500])).
% 72.68/45.87 tff(11503,plain,
% 72.68/45.87 (~v129(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8388, 11502])).
% 72.68/45.87 tff(11504,plain,
% 72.68/45.87 ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8395, 728, 11475])).
% 72.68/45.87 tff(11505,plain,
% 72.68/45.87 (~v90(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11504, 11503])).
% 72.68/45.87 tff(11506,plain,
% 72.68/45.87 (~v90(constB57, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8404, 11505])).
% 72.68/45.87 tff(11507,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11508,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11509,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 72.68/45.87 tff(11510,plain,
% 72.68/45.87 (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v123(constB57)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11509, 829, 11290])).
% 72.68/45.87 tff(11511,plain,
% 72.68/45.87 (v123(constB57)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11510, 11506, 11492])).
% 72.68/45.87 tff(11512,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11513,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11514,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB57)) | (~v130(constB57, bitIndex0))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11513, 11512])).
% 72.68/45.87 tff(11515,plain,
% 72.68/45.87 ($false),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11514, 1057, 11511, 11496])).
% 72.68/45.87 tff(11516,plain,((~v121(constB53)) | (~v90(constB58, bitIndex0)) | (~v90(constB57, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.87 tff(11517,plain,
% 72.68/45.87 (~v121(constB53)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11516, 9499, 11290])).
% 72.68/45.87 tff(11518,plain,
% 72.68/45.87 (~v123(constB53)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8108, 917, 11398])).
% 72.68/45.87 tff(11519,assumption,(~v122(constB53)), introduced(assumption)).
% 72.68/45.87 tff(11520,assumption,(~v121(constB53)), introduced(assumption)).
% 72.68/45.87 tff(11521,assumption,(~v130(constB53, bitIndex0)), introduced(assumption)).
% 72.68/45.87 tff(11522,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11523,plain,
% 72.68/45.87 ((v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | v130(constB53, bitIndex0)) <=> (v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11524,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53)))),
% 72.68/45.87 inference(monotonicity,[status(thm)],[11523])).
% 72.68/45.87 tff(11525,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11524, 11522])).
% 72.68/45.87 tff(11526,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB53) | v119(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | v130(constB53, bitIndex0))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11527,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v120(constB53) | v119(constB53) | v122(constB53)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 72.68/45.87 tff(11528,plain,
% 72.68/45.87 (v130(constB53, bitIndex0) | v124(constB53) | v123(constB53) | v121(constB53) | v119(constB53) | v122(constB53)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11527, 1396, 11311])).
% 72.68/45.87 tff(11529,plain,
% 72.68/45.87 (v124(constB53)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11528, 11521, 11520, 11317, 11318, 11519])).
% 72.68/45.87 tff(11530,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB53)) | v130(constB53, bitIndex0))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11531,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB53)) | v130(constB53, bitIndex0))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11532,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB53)) | v130(constB53, bitIndex0)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11531, 11530])).
% 72.68/45.87 tff(11533,plain,
% 72.68/45.87 ($false),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11532, 3911, 11521, 11529])).
% 72.68/45.87 tff(11534,plain,(v130(constB53, bitIndex0) | v121(constB53) | v123(constB53) | v119(constB53) | v122(constB53) | v120(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.87 tff(11535,plain,
% 72.68/45.87 (v130(constB53, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11534, 11518, 11517, 11406, 11402, 11292])).
% 72.68/45.87 tff(11536,plain,
% 72.68/45.87 (v127(constB53, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11430, 11535])).
% 72.68/45.87 tff(11537,plain,
% 72.68/45.87 (v129(constB54, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11435, 11536])).
% 72.68/45.87 tff(11538,plain,
% 72.68/45.87 (v90(constB54, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11443, 11537])).
% 72.68/45.87 tff(11539,plain,
% 72.68/45.87 (v90(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11452, 11538])).
% 72.68/45.87 tff(11540,plain,
% 72.68/45.87 (~v90(constB55, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8501, 11293])).
% 72.68/45.87 tff(11541,plain,
% 72.68/45.87 (~v120(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11359, 1587, 11296])).
% 72.68/45.87 tff(11542,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11543,plain,
% 72.68/45.87 (((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)) <=> ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11544,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55)))),
% 72.68/45.87 inference(monotonicity,[status(thm)],[11543])).
% 72.68/45.87 tff(11545,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 72.68/45.87 inference(transitivity,[status(thm)],[11544, 11542])).
% 72.68/45.87 tff(11546,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11547,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 72.68/45.87 tff(11548,plain,
% 72.68/45.87 ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11547, 1480, 11541])).
% 72.68/45.87 tff(11549,plain,
% 72.68/45.87 (v90(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11548, 11539, 11540])).
% 72.68/45.87 tff(11550,plain,
% 72.68/45.87 ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v122(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11456, 1986, 11540])).
% 72.68/45.87 tff(11551,plain,
% 72.68/45.87 (v122(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11550, 11549, 11539])).
% 72.68/45.87 tff(11552,plain,
% 72.68/45.87 (~v130(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11460, 2182, 11551])).
% 72.68/45.87 tff(11553,plain,
% 72.68/45.87 (~v127(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11468, 11552])).
% 72.68/45.87 tff(11554,plain,
% 72.68/45.87 (~v129(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11473, 11553])).
% 72.68/45.87 tff(11555,plain,
% 72.68/45.87 (v100(constB56)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8446, 11540, 11291])).
% 72.68/45.87 tff(11556,plain,
% 72.68/45.87 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11481, 802, 11555])).
% 72.68/45.87 tff(11557,plain,
% 72.68/45.87 (~v90(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11556, 11554])).
% 72.68/45.87 tff(11558,plain,
% 72.68/45.87 (~v90(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11491, 11557])).
% 72.68/45.87 tff(11559,plain,
% 72.68/45.87 (v100(constB58)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9506, 11558, 9499])).
% 72.68/45.87 tff(11560,plain,
% 72.68/45.87 (v129(constB58, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9525, 11559])).
% 72.68/45.87 tff(11561,plain,
% 72.68/45.87 (v127(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9530, 11560])).
% 72.68/45.87 tff(11562,plain,
% 72.68/45.87 (v130(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9538, 11561])).
% 72.68/45.87 tff(11563,plain,
% 72.68/45.87 (~v130(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11499, 2138, 11551])).
% 72.68/45.87 tff(11564,plain,
% 72.68/45.87 (~v127(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11501, 11563])).
% 72.68/45.87 tff(11565,plain,
% 72.68/45.87 (~v129(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8388, 11564])).
% 72.68/45.87 tff(11566,plain,
% 72.68/45.87 ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8395, 728, 11555])).
% 72.68/45.87 tff(11567,plain,
% 72.68/45.87 (~v90(constB56, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11566, 11565])).
% 72.68/45.87 tff(11568,plain,
% 72.68/45.87 (~v90(constB57, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8404, 11567])).
% 72.68/45.87 tff(11569,plain,
% 72.68/45.87 (v123(constB57)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11510, 11568, 11558])).
% 72.68/45.87 tff(11570,plain,
% 72.68/45.87 ($false),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11514, 1057, 11569, 11562])).
% 72.68/45.87 tff(11571,plain,(v90(constB54, bitIndex2) | (~v90(constB58, bitIndex0)) | (~v90(constB57, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.87 tff(11572,plain,
% 72.68/45.87 (v90(constB54, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11571, 11211, 11289])).
% 72.68/45.87 tff(11573,plain,
% 72.68/45.87 (v90(constB55, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8153, 11572])).
% 72.68/45.87 tff(11574,plain,
% 72.68/45.87 (~v122(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8161, 1193, 11573])).
% 72.68/45.87 tff(11575,plain,
% 72.68/45.87 (v90(constB56, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9205, 11289])).
% 72.68/45.87 tff(11576,plain,
% 72.68/45.87 (v127(constB55, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9196, 11575])).
% 72.68/45.87 tff(11577,plain,
% 72.68/45.87 (~v26(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9157, 4054, 11576])).
% 72.68/45.87 tff(11578,plain,
% 72.68/45.87 (v130(constB55, bitIndex2)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8418, 1271, 11576, 11577])).
% 72.68/45.87 tff(11579,plain,
% 72.68/45.87 (~v121(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9184, 1748, 11578])).
% 72.68/45.87 tff(11580,plain,
% 72.68/45.87 (~v120(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11359, 1587, 11578])).
% 72.68/45.87 tff(11581,plain,
% 72.68/45.87 (~v124(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11363, 3733, 11578])).
% 72.68/45.87 tff(11582,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB55)) | (~v90(constB55, bitIndex2)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11583,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex2)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11584,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB55)) | (~v90(constB55, bitIndex2))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 72.68/45.87 tff(11585,plain,
% 72.68/45.87 (~v119(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11584, 3402, 11573])).
% 72.68/45.87 tff(11586,plain,
% 72.68/45.87 (v124(constB55) | v122(constB55) | v120(constB55) | v121(constB55) | v123(constB55) | v119(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8411, 1254, 11578])).
% 72.68/45.87 tff(11587,plain,
% 72.68/45.87 (v123(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11586, 11585, 11581, 11580, 11579, 11574])).
% 72.68/45.87 tff(11588,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB55) | (~v123(constB55)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB55) | (~v123(constB55)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11589,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB55) | (~v123(constB55)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11590,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB55) | (~v123(constB55))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 72.68/45.87 tff(11591,plain,
% 72.68/45.87 (v115(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11590, 840, 11587])).
% 72.68/45.87 tff(11592,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11593,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11594,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 72.68/45.87 tff(11595,plain,
% 72.68/45.87 (v114(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11594, 438, 11591])).
% 72.68/45.87 tff(11596,plain,
% 72.68/45.87 (v113(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8474, 449, 11595])).
% 72.68/45.87 tff(11597,plain,
% 72.68/45.87 (v108(constB55)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8294, 11596])).
% 72.68/45.87 tff(11598,plain,
% 72.68/45.87 (v110(constB56)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8302, 11597])).
% 72.68/45.87 tff(11599,plain,
% 72.68/45.87 (v100(constB56)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[8334, 11598])).
% 72.68/45.87 tff(11600,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11601,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11602,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB55)) | (~v130(constB55, bitIndex0))),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11601, 11600])).
% 72.68/45.87 tff(11603,plain,
% 72.68/45.87 (~v130(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11602, 1057, 11587])).
% 72.68/45.87 tff(11604,plain,
% 72.68/45.87 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11467, 769, 11577])).
% 72.68/45.87 tff(11605,plain,
% 72.68/45.87 (~v127(constB55, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11604, 11603])).
% 72.68/45.87 tff(11606,plain,
% 72.68/45.87 (~v129(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11473, 11605])).
% 72.68/45.87 tff(11607,plain,
% 72.68/45.87 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11481, 802, 11606])).
% 72.68/45.87 tff(11608,plain,
% 72.68/45.87 (~v90(constB56, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11607, 11599])).
% 72.68/45.87 tff(11609,plain,
% 72.68/45.87 (~v90(constB57, bitIndex0)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11491, 11608])).
% 72.68/45.87 tff(11610,plain,
% 72.68/45.87 (v100(constB58)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[9506, 11609, 11211])).
% 72.68/45.87 tff(11611,plain,
% 72.68/45.87 (v129(constB58, bitIndex1) | (~v100(constB58))),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11266, 728, 11229])).
% 72.68/45.87 tff(11612,plain,
% 72.68/45.87 (v129(constB58, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11611, 11610])).
% 72.68/45.87 tff(11613,plain,
% 72.68/45.87 (v127(constB57, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11272, 11612])).
% 72.68/45.87 tff(11614,plain,
% 72.68/45.87 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11279, 695, 9222])).
% 72.68/45.87 tff(11615,plain,
% 72.68/45.87 (v130(constB57, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11614, 11613])).
% 72.68/45.87 tff(11616,plain,
% 72.68/45.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB55)) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB55)) | v130(constB55, bitIndex1))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11617,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB55)) | v130(constB55, bitIndex1))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11618,plain,
% 72.68/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB55)) | v130(constB55, bitIndex1)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 72.68/45.87 tff(11619,plain,
% 72.68/45.87 (v130(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11618, 976, 11587])).
% 72.68/45.87 tff(11620,plain,
% 72.68/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11621,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 72.68/45.87 inference(quant_inst,[status(thm)],[])).
% 72.68/45.87 tff(11622,plain,
% 72.68/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 72.68/45.87 inference(modus_ponens,[status(thm)],[11621, 11620])).
% 72.68/45.87 tff(11623,plain,
% 72.68/45.87 ((~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11622, 990, 11577])).
% 72.68/45.87 tff(11624,plain,
% 72.68/45.87 (v127(constB55, bitIndex1)),
% 72.68/45.87 inference(unit_resolution,[status(thm)],[11623, 11619])).
% 72.68/45.87 tff(11625,plain,
% 72.68/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))),
% 72.68/45.87 inference(rewrite,[status(thm)],[])).
% 72.68/45.87 tff(11626,plain,
% 72.68/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11627,plain,
% 72.68/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 72.68/45.88 tff(11628,plain,
% 72.68/45.88 ((~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11627, 1005, 8228])).
% 72.68/45.88 tff(11629,plain,
% 72.68/45.88 (v129(constB56, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11628, 11624])).
% 72.68/45.88 tff(11630,plain,
% 72.68/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11631,plain,
% 72.68/45.88 ((v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11632,plain,
% 72.68/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56))))),
% 72.68/45.88 inference(monotonicity,[status(thm)],[11631])).
% 72.68/45.88 tff(11633,plain,
% 72.68/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 72.68/45.88 inference(transitivity,[status(thm)],[11632, 11630])).
% 72.68/45.88 tff(11634,plain,
% 72.68/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11635,plain,
% 72.68/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 72.68/45.88 tff(11636,plain,
% 72.68/45.88 (v90(constB56, bitIndex1) | (~v100(constB56))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11635, 1020, 11629])).
% 72.68/45.88 tff(11637,plain,
% 72.68/45.88 (v90(constB56, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11636, 11599])).
% 72.68/45.88 tff(11638,plain,
% 72.68/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11639,plain,
% 72.68/45.88 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11640,plain,
% 72.68/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1)))),
% 72.68/45.88 inference(monotonicity,[status(thm)],[11639])).
% 72.68/45.88 tff(11641,plain,
% 72.68/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 72.68/45.88 inference(transitivity,[status(thm)],[11640, 11638])).
% 72.68/45.88 tff(11642,plain,
% 72.68/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11643,plain,
% 72.68/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1)),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 72.68/45.88 tff(11644,plain,
% 72.68/45.88 ((~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11643, 1038, 8348])).
% 72.68/45.88 tff(11645,plain,
% 72.68/45.88 ((~v90(constB56, bitIndex1)) | v90(constB57, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11644, 8360])).
% 72.68/45.88 tff(11646,plain,
% 72.68/45.88 (v90(constB57, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11645, 11637])).
% 72.68/45.88 tff(11647,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB57, bitIndex1)) | (~v124(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB57, bitIndex1)) | (~v124(constB57)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11648,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB57, bitIndex1)) | (~v124(constB57)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11649,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB57, bitIndex1)) | (~v124(constB57))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11648, 11647])).
% 72.68/45.88 tff(11650,plain,
% 72.68/45.88 (~v124(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11649, 1229, 11646])).
% 72.68/45.88 tff(11651,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB57, bitIndex1)) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB57, bitIndex1)) | (~v123(constB57)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11652,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB57, bitIndex1)) | (~v123(constB57)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11653,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB57, bitIndex1)) | (~v123(constB57))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 72.68/45.88 tff(11654,plain,
% 72.68/45.88 (~v123(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11653, 1218, 11646])).
% 72.68/45.88 tff(11655,plain,
% 72.68/45.88 (~v119(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9457, 3402, 11289])).
% 72.68/45.88 tff(11656,plain,
% 72.68/45.88 (~v120(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9461, 5411, 11289])).
% 72.68/45.88 tff(11657,plain,
% 72.68/45.88 (~v121(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9465, 1182, 11289])).
% 72.68/45.88 tff(11658,plain,
% 72.68/45.88 (~v122(constB57)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9469, 1193, 11289])).
% 72.68/45.88 tff(11659,plain,
% 72.68/45.88 (v124(constB57) | v123(constB57) | (~v130(constB57, bitIndex1))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11286, 1349, 11658, 11657, 11656, 11655])).
% 72.68/45.88 tff(11660,plain,
% 72.68/45.88 ($false),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11659, 11654, 11650, 11615])).
% 72.68/45.88 tff(11661,plain,(v100(constB60) | (~v90(constB60, bitIndex0)) | (~v90(constB60, bitIndex1)) | (~v90(constB60, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.88 tff(11662,plain,
% 72.68/45.88 (v100(constB60)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11661, 11200, 11190, 11172])).
% 72.68/45.88 tff(11663,plain,
% 72.68/45.88 (v129(constB60, bitIndex0) | (~v100(constB60))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11024, 802, 11200])).
% 72.68/45.88 tff(11664,plain,
% 72.68/45.88 (v129(constB60, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11663, 11662])).
% 72.68/45.88 tff(11665,plain,
% 72.68/45.88 (v127(constB59, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11017, 11664])).
% 72.68/45.88 tff(11666,plain,
% 72.68/45.88 (v130(constB59, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11012, 11665])).
% 72.68/45.88 tff(11667,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11668,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11669,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB59)) | (~v130(constB59, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 72.68/45.88 tff(11670,plain,
% 72.68/45.88 (~v122(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11669, 2182, 11666])).
% 72.68/45.88 tff(11671,plain,
% 72.68/45.88 (v129(constB60, bitIndex2) | (~v100(constB60))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9826, 1304, 11172])).
% 72.68/45.88 tff(11672,plain,
% 72.68/45.88 (v129(constB60, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11671, 11662])).
% 72.68/45.88 tff(11673,plain,
% 72.68/45.88 (v127(constB59, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9819, 11672])).
% 72.68/45.88 tff(11674,plain,
% 72.68/45.88 (v130(constB59, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9814, 11673])).
% 72.68/45.88 tff(11675,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11676,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11677,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB59)) | (~v130(constB59, bitIndex2))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 72.68/45.88 tff(11678,plain,
% 72.68/45.88 (~v124(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11677, 3733, 11674])).
% 72.68/45.88 tff(11679,plain,
% 72.68/45.88 (~v121(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[9802, 1748, 11674])).
% 72.68/45.88 tff(11680,plain,
% 72.68/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11681,plain,
% 72.68/45.88 (((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11682,plain,
% 72.68/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))))),
% 72.68/45.88 inference(monotonicity,[status(thm)],[11681])).
% 72.68/45.88 tff(11683,plain,
% 72.68/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.68/45.88 inference(transitivity,[status(thm)],[11682, 11680])).
% 72.68/45.88 tff(11684,plain,
% 72.68/45.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11685,plain,
% 72.68/45.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 72.68/45.88 tff(11686,plain,
% 72.68/45.88 (v129(constB60, bitIndex1) | (~v100(constB60))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11685, 728, 11190])).
% 72.68/45.88 tff(11687,plain,
% 72.68/45.88 (v129(constB60, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11686, 11662])).
% 72.68/45.88 tff(11688,plain,
% 72.68/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11689,plain,
% 72.68/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11690,plain,
% 72.68/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 72.68/45.88 tff(11691,plain,
% 72.68/45.88 (v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11690, 713, 9759])).
% 72.68/45.88 tff(11692,plain,
% 72.68/45.88 (v127(constB59, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11691, 11687])).
% 72.68/45.88 tff(11693,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11694,plain,
% 72.68/45.88 ((v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1))) <=> ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11695,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)))),
% 72.68/45.88 inference(monotonicity,[status(thm)],[11694])).
% 72.68/45.88 tff(11696,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.68/45.88 inference(transitivity,[status(thm)],[11695, 11693])).
% 72.68/45.88 tff(11697,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11698,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 72.68/45.88 tff(11699,plain,
% 72.68/45.88 ((~v127(constB59, bitIndex1)) | v130(constB59, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11698, 695, 9807])).
% 72.68/45.88 tff(11700,plain,
% 72.68/45.88 (v130(constB59, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11699, 11692])).
% 72.68/45.88 tff(11701,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11702,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11703,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB59)) | (~v130(constB59, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 72.68/45.88 tff(11704,plain,
% 72.68/45.88 (~v119(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11703, 755, 11666])).
% 72.68/45.88 tff(11705,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11706,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11707,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 72.68/45.88 tff(11708,plain,
% 72.68/45.88 (~v120(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11707, 1690, 11666])).
% 72.68/45.88 tff(11709,assumption,(~v123(constB59)), introduced(assumption)).
% 72.68/45.88 tff(11710,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11711,plain,
% 72.68/45.88 ((v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1))) <=> ((~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11712,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59)))),
% 72.68/45.88 inference(monotonicity,[status(thm)],[11711])).
% 72.68/45.88 tff(11713,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 72.68/45.88 inference(transitivity,[status(thm)],[11712, 11710])).
% 72.68/45.88 tff(11714,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11715,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59)),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 72.68/45.88 tff(11716,plain,
% 72.68/45.88 ((~v130(constB59, bitIndex1)) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11715, 1349, 11709])).
% 72.68/45.88 tff(11717,plain,
% 72.68/45.88 ($false),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11716, 11708, 11704, 11700, 11679, 11678, 11670])).
% 72.68/45.88 tff(11718,plain,(v100(constB62) | v123(constB59) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex1)) | (~v90(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.88 tff(11719,plain,
% 72.68/45.88 (v100(constB62)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11718, 11161, 10951, 10941, 10939])).
% 72.68/45.88 tff(11720,plain,
% 72.68/45.88 (v129(constB62, bitIndex1) | (~v100(constB62))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10068, 728, 10941])).
% 72.68/45.88 tff(11721,plain,
% 72.68/45.88 (v129(constB62, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11720, 11719])).
% 72.68/45.88 tff(11722,plain,
% 72.68/45.88 (v127(constB61, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10061, 11721])).
% 72.68/45.88 tff(11723,plain,
% 72.68/45.88 (v130(constB61, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10056, 11722])).
% 72.68/45.88 tff(11724,plain,
% 72.68/45.88 (v129(constB62, bitIndex2) | (~v100(constB62))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11114, 1304, 10951])).
% 72.68/45.88 tff(11725,plain,
% 72.68/45.88 (v129(constB62, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11724, 11719])).
% 72.68/45.88 tff(11726,plain,
% 72.68/45.88 (v127(constB61, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11107, 11725])).
% 72.68/45.88 tff(11727,plain,
% 72.68/45.88 (v130(constB61, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11102, 11726])).
% 72.68/45.88 tff(11728,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11729,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11730,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 72.68/45.88 tff(11731,plain,
% 72.68/45.88 (~v124(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11730, 3733, 11727])).
% 72.68/45.88 tff(11732,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11733,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11734,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 72.68/45.88 tff(11735,plain,
% 72.68/45.88 (~v121(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11734, 1748, 11727])).
% 72.68/45.88 tff(11736,assumption,(~v127(constB61, bitIndex0)), introduced(assumption)).
% 72.68/45.88 tff(11737,plain,
% 72.68/45.88 (~v129(constB62, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10095, 11736])).
% 72.68/45.88 tff(11738,plain,
% 72.68/45.88 (v129(constB62, bitIndex0) | (~v100(constB62))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10102, 802, 11191])).
% 72.68/45.88 tff(11739,plain,
% 72.68/45.88 (~v100(constB62)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11738, 11737])).
% 72.68/45.88 tff(11740,plain,
% 72.68/45.88 (v90(constB61, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11170, 11739, 11162])).
% 72.68/45.88 tff(11741,plain,
% 72.68/45.88 (~v122(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11054, 1193, 11740])).
% 72.68/45.88 tff(11742,plain,
% 72.68/45.88 (v90(constB61, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11180, 11739, 11173])).
% 72.68/45.88 tff(11743,plain,
% 72.68/45.88 (~v120(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11062, 1240, 11742])).
% 72.68/45.88 tff(11744,plain,
% 72.68/45.88 (~v124(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11070, 1229, 11742])).
% 72.68/45.88 tff(11745,plain,
% 72.68/45.88 (v90(constB61, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11198, 11739, 11191])).
% 72.68/45.88 tff(11746,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v119(constB61)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11747,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v119(constB61)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11748,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v119(constB61))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11747, 11746])).
% 72.68/45.88 tff(11749,plain,
% 72.68/45.88 (~v119(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11748, 3665, 11745])).
% 72.68/45.88 tff(11750,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v121(constB61)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11751,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v121(constB61)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11752,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v121(constB61))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 72.68/45.88 tff(11753,plain,
% 72.68/45.88 (~v121(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11752, 10836, 11745])).
% 72.68/45.88 tff(11754,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v123(constB61)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11755,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex0)) | (~v123(constB61)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11756,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex0)) | (~v123(constB61))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 72.68/45.88 tff(11757,plain,
% 72.68/45.88 (~v123(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11756, 4161, 11745])).
% 72.68/45.88 tff(11758,plain,
% 72.68/45.88 (~v130(constB61, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11128, 11736])).
% 72.68/45.88 tff(11759,plain,
% 72.68/45.88 ($false),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11123, 1396, 11758, 11757, 11753, 11749, 11744, 11743, 11741])).
% 72.68/45.88 tff(11760,plain,(v127(constB61, bitIndex0) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex1)) | (~v90(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.88 tff(11761,plain,
% 72.68/45.88 (v127(constB61, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11760, 10951, 10941, 10939])).
% 72.68/45.88 tff(11762,plain,
% 72.68/45.88 (v130(constB61, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10090, 11761])).
% 72.68/45.88 tff(11763,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11764,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11765,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11764, 11763])).
% 72.68/45.88 tff(11766,plain,
% 72.68/45.88 (~v120(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11765, 1690, 11762])).
% 72.68/45.88 tff(11767,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11768,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11769,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB61)) | (~v130(constB61, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 72.68/45.88 tff(11770,plain,
% 72.68/45.88 (~v119(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11769, 755, 11762])).
% 72.68/45.88 tff(11771,plain,
% 72.68/45.88 (~v122(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10082, 2182, 11762])).
% 72.68/45.88 tff(11772,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11773,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11774,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 72.68/45.88 tff(11775,plain,
% 72.68/45.88 (~v123(constB61)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11774, 1057, 11762])).
% 72.68/45.88 tff(11776,plain,
% 72.68/45.88 (v124(constB61) | v121(constB61) | (~v130(constB61, bitIndex1))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11077, 1349, 11775, 11771, 11770, 11766])).
% 72.68/45.88 tff(11777,plain,
% 72.68/45.88 ($false),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11776, 11735, 11731, 11723])).
% 72.68/45.88 tff(11778,plain,(v100(constB66) | (~v90(constB64, bitIndex0)) | (~v90(constB66, bitIndex2)) | (~v90(constB66, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.88 tff(11779,plain,
% 72.68/45.88 (v100(constB66)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11778, 10736, 10655, 10645])).
% 72.68/45.88 tff(11780,plain,
% 72.68/45.88 (v129(constB66, bitIndex0) | (~v100(constB66))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10680, 802, 10664])).
% 72.68/45.88 tff(11781,plain,
% 72.68/45.88 (v129(constB66, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11780, 11779])).
% 72.68/45.88 tff(11782,plain,
% 72.68/45.88 (v127(constB65, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10686, 11781])).
% 72.68/45.88 tff(11783,plain,
% 72.68/45.88 (~v26(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10690, 3193, 11782])).
% 72.68/45.88 tff(11784,plain,
% 72.68/45.88 (v129(constB66, bitIndex2) | (~v100(constB66))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10412, 1304, 10655])).
% 72.68/45.88 tff(11785,plain,
% 72.68/45.88 (v129(constB66, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11784, 11779])).
% 72.68/45.88 tff(11786,plain,
% 72.68/45.88 (v127(constB65, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10405, 11785])).
% 72.68/45.88 tff(11787,plain,
% 72.68/45.88 (v130(constB65, bitIndex2)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10399, 1271, 11786, 11783])).
% 72.68/45.88 tff(11788,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11789,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11790,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB65)) | (~v130(constB65, bitIndex2))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 72.68/45.88 tff(11791,plain,
% 72.68/45.88 (~v124(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11790, 3733, 11787])).
% 72.68/45.88 tff(11792,plain,
% 72.68/45.88 (v129(constB66, bitIndex1) | (~v100(constB66))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10467, 728, 10645])).
% 72.68/45.88 tff(11793,plain,
% 72.68/45.88 (v129(constB66, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11792, 11779])).
% 72.68/45.88 tff(11794,plain,
% 72.68/45.88 (v127(constB65, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10460, 11793])).
% 72.68/45.88 tff(11795,plain,
% 72.68/45.88 (v130(constB65, bitIndex1)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10454, 695, 11794, 11783])).
% 72.68/45.88 tff(11796,plain,
% 72.68/45.88 (v130(constB65, bitIndex0)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10714, 769, 11782, 11783])).
% 72.68/45.88 tff(11797,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11798,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11799,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 72.68/45.88 tff(11800,plain,
% 72.68/45.88 (~v122(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11799, 2182, 11796])).
% 72.68/45.88 tff(11801,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11802,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11803,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB65)) | (~v130(constB65, bitIndex0))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 72.68/45.88 tff(11804,plain,
% 72.68/45.88 (~v120(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11803, 1690, 11796])).
% 72.68/45.88 tff(11805,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v121(constB65)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11806,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v121(constB65)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11807,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v121(constB65))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11806, 11805])).
% 72.68/45.88 tff(11808,plain,
% 72.68/45.88 (~v121(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11807, 10836, 10735])).
% 72.68/45.88 tff(11809,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v123(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v123(constB65)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11810,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v123(constB65)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11811,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v123(constB65))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 72.68/45.88 tff(11812,plain,
% 72.68/45.88 (~v123(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11811, 4161, 10735])).
% 72.68/45.88 tff(11813,plain,
% 72.68/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v119(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v119(constB65)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11814,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB65, bitIndex0)) | (~v119(constB65)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11815,plain,
% 72.68/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB65, bitIndex0)) | (~v119(constB65))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 72.68/45.88 tff(11816,plain,
% 72.68/45.88 (~v119(constB65)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11815, 3665, 10735])).
% 72.68/45.88 tff(11817,plain,
% 72.68/45.88 (v124(constB65) | v122(constB65) | v120(constB65) | (~v130(constB65, bitIndex1))),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[10447, 1349, 11816, 11812, 11808])).
% 72.68/45.88 tff(11818,plain,
% 72.68/45.88 ($false),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11817, 11804, 11800, 11795, 11791])).
% 72.68/45.88 tff(11819,plain,(v113(constB67) | v119(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.88 tff(11820,plain,
% 72.68/45.88 (v113(constB67)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11819, 10560])).
% 72.68/45.88 tff(11821,assumption,(~v108(constB67)), introduced(assumption)).
% 72.68/45.88 tff(11822,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11823,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11824,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 72.68/45.88 tff(11825,plain,
% 72.68/45.88 (~v112(constB67)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11824, 475, 11821])).
% 72.68/45.88 tff(11826,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB67) | (~v26(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB67) | (~v26(constB67)))),
% 72.68/45.88 inference(rewrite,[status(thm)],[])).
% 72.68/45.88 tff(11827,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB67) | (~v26(constB67)))),
% 72.68/45.88 inference(quant_inst,[status(thm)],[])).
% 72.68/45.88 tff(11828,plain,
% 72.68/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB67) | (~v26(constB67))),
% 72.68/45.88 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 72.68/45.88 tff(11829,plain,
% 72.68/45.88 (~v26(constB67)),
% 72.68/45.88 inference(unit_resolution,[status(thm)],[11828, 1807, 11821])).
% 72.68/45.88 tff(11830,assumption,(v113(constB67)), introduced(assumption)).
% 72.68/45.88 tff(11831,plain,
% 72.68/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11832,plain,
% 72.68/45.89 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11833,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11832])).
% 72.68/45.89 tff(11834,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11833, 11831])).
% 72.68/45.89 tff(11835,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11836,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 72.68/45.89 tff(11837,plain,
% 72.68/45.89 (v26(constB67) | v112(constB67)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11836, 463, 11830])).
% 72.68/45.89 tff(11838,plain,
% 72.68/45.89 ($false),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11837, 11829, 11825])).
% 72.68/45.89 tff(11839,plain,(v108(constB67) | (~v113(constB67))), inference(lemma,lemma(discharge,[]))).
% 72.68/45.89 tff(11840,plain,
% 72.68/45.89 (v108(constB67)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11839, 11820])).
% 72.68/45.89 tff(11841,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11842,plain,
% 72.68/45.89 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11843,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11842])).
% 72.68/45.89 tff(11844,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11843, 11841])).
% 72.68/45.89 tff(11845,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11846,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 72.68/45.89 tff(11847,plain,
% 72.68/45.89 (v110(constB68) | (~v108(constB67))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11846, 492, 10551])).
% 72.68/45.89 tff(11848,plain,
% 72.68/45.89 (v110(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11847, 11840])).
% 72.68/45.89 tff(11849,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11850,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11851,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 72.68/45.89 tff(11852,plain,
% 72.68/45.89 (~v104(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11851, 510, 10551, 10417])).
% 72.68/45.89 tff(11853,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11854,plain,
% 72.68/45.89 (((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11855,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11854])).
% 72.68/45.89 tff(11856,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11855, 11853])).
% 72.68/45.89 tff(11857,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11858,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11857, 11856])).
% 72.68/45.89 tff(11859,plain,
% 72.68/45.89 (v104(constB68) | v102(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11858, 524, 10551])).
% 72.68/45.89 tff(11860,plain,
% 72.68/45.89 (v102(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11859, 11852])).
% 72.68/45.89 tff(11861,plain,
% 72.68/45.89 (v1(constB68) <=> v1(constB68)),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11862,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 72.68/45.89 tff(11863,plain,
% 72.68/45.89 (v1(constB68)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 72.68/45.89 tff(11864,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11865,plain,
% 72.68/45.89 (((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))) <=> ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11866,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11865])).
% 72.68/45.89 tff(11867,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11866, 11864])).
% 72.68/45.89 tff(11868,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11869,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11868, 11867])).
% 72.68/45.89 tff(11870,plain,
% 72.68/45.89 (v101(constB68) | (~v102(constB68))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11869, 545, 10551, 11863])).
% 72.68/45.89 tff(11871,plain,
% 72.68/45.89 (v101(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11870, 11860])).
% 72.68/45.89 tff(11872,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11873,plain,
% 72.68/45.89 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11874,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11873])).
% 72.68/45.89 tff(11875,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11874, 11872])).
% 72.68/45.89 tff(11876,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11877,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11876, 11875])).
% 72.68/45.89 tff(11878,plain,
% 72.68/45.89 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11877, 563, 10551])).
% 72.68/45.89 tff(11879,plain,
% 72.68/45.89 (v100(constB68) | (~v110(constB68))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11878, 11871])).
% 72.68/45.89 tff(11880,plain,
% 72.68/45.89 (v100(constB68)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11879, 11848])).
% 72.68/45.89 tff(11881,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11882,plain,
% 72.68/45.89 (((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11883,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11882])).
% 72.68/45.89 tff(11884,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11883, 11881])).
% 72.68/45.89 tff(11885,plain,
% 72.68/45.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11886,plain,
% 72.68/45.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 72.68/45.89 tff(11887,plain,
% 72.68/45.89 ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11886, 1304, 11880])).
% 72.68/45.89 tff(11888,plain,
% 72.68/45.89 (~v90(constB68, bitIndex2)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11887, 10556])).
% 72.68/45.89 tff(11889,plain,
% 72.68/45.89 ((~v1(constB69)) <=> (~v1(constB69))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11890,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 72.68/45.89 tff(11891,plain,
% 72.68/45.89 (~v1(constB69)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 72.68/45.89 tff(11892,plain,
% 72.68/45.89 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11893,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 72.68/45.89 tff(11894,plain,
% 72.68/45.89 (nextState(constB68, constB69)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 72.68/45.89 tff(11895,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11896,plain,
% 72.68/45.89 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11897,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11896])).
% 72.68/45.89 tff(11898,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11897, 11895])).
% 72.68/45.89 tff(11899,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11900,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11899, 11898])).
% 72.68/45.89 tff(11901,plain,
% 72.68/45.89 (~v101(constB69)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11900, 288, 11894, 11891])).
% 72.68/45.89 tff(11902,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11903,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11904,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11903, 11902])).
% 72.68/45.89 tff(11905,plain,
% 72.68/45.89 (v101(constB69) | (~v100(constB69))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11904, 305, 11894])).
% 72.68/45.89 tff(11906,plain,
% 72.68/45.89 (~v100(constB69)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11905, 11901])).
% 72.68/45.89 tff(11907,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11908,plain,
% 72.68/45.89 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11909,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11908])).
% 72.68/45.89 tff(11910,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11909, 11907])).
% 72.68/45.89 tff(11911,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11912,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11911, 11910])).
% 72.68/45.89 tff(11913,plain,
% 72.68/45.89 (v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11912, 320, 11894])).
% 72.68/45.89 tff(11914,plain,
% 72.68/45.89 (v90(constB68, bitIndex2) | (~v90(constB69, bitIndex2))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11913, 11906])).
% 72.68/45.89 tff(11915,plain,
% 72.68/45.89 (~v90(constB69, bitIndex2)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11914, 11888])).
% 72.68/45.89 tff(11916,plain,
% 72.68/45.89 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11917,plain,
% 72.68/45.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11918,plain,
% 72.68/45.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11917, 11916])).
% 72.68/45.89 tff(11919,plain,
% 72.68/45.89 (v130(constB67, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11918, 1649, 10532])).
% 72.68/45.89 tff(11920,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11921,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11922,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 72.68/45.89 tff(11923,plain,
% 72.68/45.89 ((~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11922, 990, 10540])).
% 72.68/45.89 tff(11924,plain,
% 72.68/45.89 (v127(constB67, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11923, 11919])).
% 72.68/45.89 tff(11925,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11926,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11927,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 72.68/45.89 tff(11928,plain,
% 72.68/45.89 ((~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11927, 1005, 10551])).
% 72.68/45.89 tff(11929,plain,
% 72.68/45.89 (v129(constB68, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11928, 11924])).
% 72.68/45.89 tff(11930,plain,
% 72.68/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11931,plain,
% 72.68/45.89 ((v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11932,plain,
% 72.68/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11931])).
% 72.68/45.89 tff(11933,plain,
% 72.68/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11932, 11930])).
% 72.68/45.89 tff(11934,plain,
% 72.68/45.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11935,plain,
% 72.68/45.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 72.68/45.89 tff(11936,plain,
% 72.68/45.89 (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11935, 1020, 11880])).
% 72.68/45.89 tff(11937,plain,
% 72.68/45.89 (v90(constB68, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11936, 11929])).
% 72.68/45.89 tff(11938,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11939,plain,
% 72.68/45.89 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11940,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11939])).
% 72.68/45.89 tff(11941,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11940, 11938])).
% 72.68/45.89 tff(11942,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11943,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11942, 11941])).
% 72.68/45.89 tff(11944,plain,
% 72.68/45.89 ((~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11943, 1038, 11894])).
% 72.68/45.89 tff(11945,plain,
% 72.68/45.89 ((~v90(constB68, bitIndex1)) | v90(constB69, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11944, 11906])).
% 72.68/45.89 tff(11946,plain,
% 72.68/45.89 (v90(constB69, bitIndex1)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11945, 11937])).
% 72.68/45.89 tff(11947,plain,
% 72.68/45.89 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11948,plain,
% 72.68/45.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11949,plain,
% 72.68/45.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11948, 11947])).
% 72.68/45.89 tff(11950,plain,
% 72.68/45.89 (~v130(constB67, bitIndex0)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11949, 1690, 10532])).
% 72.68/45.89 tff(11951,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11952,plain,
% 72.68/45.89 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11953,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11952])).
% 72.68/45.89 tff(11954,plain,
% 72.68/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11953, 11951])).
% 72.68/45.89 tff(11955,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11956,plain,
% 72.68/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 72.68/45.89 tff(11957,plain,
% 72.68/45.89 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11956, 769, 10540])).
% 72.68/45.89 tff(11958,plain,
% 72.68/45.89 (~v127(constB67, bitIndex0)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11957, 11950])).
% 72.68/45.89 tff(11959,plain,
% 72.68/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11960,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 72.68/45.89 inference(quant_inst,[status(thm)],[])).
% 72.68/45.89 tff(11961,plain,
% 72.68/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 72.68/45.89 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 72.68/45.89 tff(11962,plain,
% 72.68/45.89 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11961, 787, 10551])).
% 72.68/45.89 tff(11963,plain,
% 72.68/45.89 (~v129(constB68, bitIndex0)),
% 72.68/45.89 inference(unit_resolution,[status(thm)],[11962, 11958])).
% 72.68/45.89 tff(11964,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11965,plain,
% 72.68/45.89 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.68/45.89 inference(rewrite,[status(thm)],[])).
% 72.68/45.89 tff(11966,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 72.68/45.89 inference(monotonicity,[status(thm)],[11965])).
% 72.68/45.89 tff(11967,plain,
% 72.68/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.68/45.89 inference(transitivity,[status(thm)],[11966, 11964])).
% 72.68/45.89 tff(11968,plain,
% 72.68/45.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11969,plain,
% 72.68/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 72.68/45.90 tff(11970,plain,
% 72.68/45.90 ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11969, 802, 11880])).
% 72.68/45.90 tff(11971,plain,
% 72.68/45.90 (~v90(constB68, bitIndex0)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11970, 11963])).
% 72.68/45.90 tff(11972,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11973,plain,
% 72.68/45.90 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11974,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[11973])).
% 72.68/45.90 tff(11975,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[11974, 11972])).
% 72.68/45.90 tff(11976,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11977,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 72.68/45.90 tff(11978,plain,
% 72.68/45.90 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11977, 362, 11894])).
% 72.68/45.90 tff(11979,plain,
% 72.68/45.90 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11978, 11906])).
% 72.68/45.90 tff(11980,plain,
% 72.68/45.90 (~v90(constB69, bitIndex0)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11979, 11971])).
% 72.68/45.90 tff(11981,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11982,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11983,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 72.68/45.90 tff(11984,plain,
% 72.68/45.90 (v121(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11983, 1734, 11980, 11946, 11915])).
% 72.68/45.90 tff(11985,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB69) | (~v121(constB69)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB69) | (~v121(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11986,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB69) | (~v121(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11987,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB69) | (~v121(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11986, 11985])).
% 72.68/45.90 tff(11988,plain,
% 72.68/45.90 (v117(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11987, 1775, 11984])).
% 72.68/45.90 tff(11989,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11990,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11991,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 72.68/45.90 tff(11992,plain,
% 72.68/45.90 (v116(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11991, 416, 11988])).
% 72.68/45.90 tff(11993,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11994,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11995,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 72.68/45.90 tff(11996,plain,
% 72.68/45.90 (v115(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11995, 427, 11992])).
% 72.68/45.90 tff(11997,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(11998,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(11999,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[11998, 11997])).
% 72.68/45.90 tff(12000,plain,
% 72.68/45.90 (v114(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[11999, 438, 11996])).
% 72.68/45.90 tff(12001,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12002,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12003,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 72.68/45.90 tff(12004,plain,
% 72.68/45.90 (v113(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12003, 449, 12000])).
% 72.68/45.90 tff(12005,assumption,(v26(constB69)), introduced(assumption)).
% 72.68/45.90 tff(12006,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12007,plain,
% 72.68/45.90 ($false),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12006, 26, 12005])).
% 72.68/45.90 tff(12008,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.90 tff(12009,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12010,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12011,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 72.68/45.90 tff(12012,plain,
% 72.68/45.90 ((~v113(constB69)) | v112(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12011, 463, 12008])).
% 72.68/45.90 tff(12013,plain,
% 72.68/45.90 (v112(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12012, 12004])).
% 72.68/45.90 tff(12014,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12015,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12016,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 72.68/45.90 tff(12017,plain,
% 72.68/45.90 (v108(constB69)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12016, 475, 12013])).
% 72.68/45.90 tff(12018,plain,
% 72.68/45.90 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12019,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 72.68/45.90 tff(12020,plain,
% 72.68/45.90 (nextState(constB69, constB70)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 72.68/45.90 tff(12021,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12022,plain,
% 72.68/45.90 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12023,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12022])).
% 72.68/45.90 tff(12024,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12023, 12021])).
% 72.68/45.90 tff(12025,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12026,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 72.68/45.90 tff(12027,plain,
% 72.68/45.90 (v110(constB70) | (~v108(constB69))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12026, 492, 12020])).
% 72.68/45.90 tff(12028,plain,
% 72.68/45.90 (v110(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12027, 12017])).
% 72.68/45.90 tff(12029,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12030,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12031,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12030, 12029])).
% 72.68/45.90 tff(12032,plain,
% 72.68/45.90 (~v104(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12031, 510, 12020, 11891])).
% 72.68/45.90 tff(12033,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12034,plain,
% 72.68/45.90 (((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12035,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12034])).
% 72.68/45.90 tff(12036,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12035, 12033])).
% 72.68/45.90 tff(12037,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12038,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12037, 12036])).
% 72.68/45.90 tff(12039,plain,
% 72.68/45.90 (v104(constB70) | v102(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12038, 524, 12020])).
% 72.68/45.90 tff(12040,plain,
% 72.68/45.90 (v102(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12039, 12032])).
% 72.68/45.90 tff(12041,plain,
% 72.68/45.90 (v1(constB70) <=> v1(constB70)),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12042,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 72.68/45.90 tff(12043,plain,
% 72.68/45.90 (v1(constB70)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 72.68/45.90 tff(12044,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12045,plain,
% 72.68/45.90 (((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))) <=> ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12046,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12045])).
% 72.68/45.90 tff(12047,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12046, 12044])).
% 72.68/45.90 tff(12048,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12049,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 72.68/45.90 tff(12050,plain,
% 72.68/45.90 (v101(constB70) | (~v102(constB70))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12049, 545, 12020, 12043])).
% 72.68/45.90 tff(12051,plain,
% 72.68/45.90 (v101(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12050, 12040])).
% 72.68/45.90 tff(12052,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12053,plain,
% 72.68/45.90 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12054,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12053])).
% 72.68/45.90 tff(12055,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12054, 12052])).
% 72.68/45.90 tff(12056,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12057,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12056, 12055])).
% 72.68/45.90 tff(12058,plain,
% 72.68/45.90 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12057, 563, 12020])).
% 72.68/45.90 tff(12059,plain,
% 72.68/45.90 (v100(constB70) | (~v110(constB70))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12058, 12051])).
% 72.68/45.90 tff(12060,plain,
% 72.68/45.90 (v100(constB70)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12059, 12028])).
% 72.68/45.90 tff(12061,plain,
% 72.68/45.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12062,plain,
% 72.68/45.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12063,plain,
% 72.68/45.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 72.68/45.90 tff(12064,plain,
% 72.68/45.90 (~v130(constB69, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12063, 1748, 11984])).
% 72.68/45.90 tff(12065,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12066,plain,
% 72.68/45.90 ((v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2))) <=> ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12067,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12066])).
% 72.68/45.90 tff(12068,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12067, 12065])).
% 72.68/45.90 tff(12069,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12070,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 72.68/45.90 tff(12071,plain,
% 72.68/45.90 ((~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12070, 1271, 12008])).
% 72.68/45.90 tff(12072,plain,
% 72.68/45.90 (~v127(constB69, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12071, 12064])).
% 72.68/45.90 tff(12073,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12074,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12075,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 72.68/45.90 tff(12076,plain,
% 72.68/45.90 (v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12075, 1289, 12020])).
% 72.68/45.90 tff(12077,plain,
% 72.68/45.90 (~v129(constB70, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12076, 12072])).
% 72.68/45.90 tff(12078,plain,
% 72.68/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12079,plain,
% 72.68/45.90 (((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12080,plain,
% 72.68/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12079])).
% 72.68/45.90 tff(12081,plain,
% 72.68/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12080, 12078])).
% 72.68/45.90 tff(12082,plain,
% 72.68/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12083,plain,
% 72.68/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 72.68/45.90 tff(12084,plain,
% 72.68/45.90 ((~v90(constB70, bitIndex2)) | (~v100(constB70))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12083, 1304, 12077])).
% 72.68/45.90 tff(12085,plain,
% 72.68/45.90 (~v90(constB70, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12084, 12060])).
% 72.68/45.90 tff(12086,plain,
% 72.68/45.90 ((~v1(constB71)) <=> (~v1(constB71))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12087,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 72.68/45.90 tff(12088,plain,
% 72.68/45.90 (~v1(constB71)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 72.68/45.90 tff(12089,plain,
% 72.68/45.90 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12090,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 72.68/45.90 tff(12091,plain,
% 72.68/45.90 (nextState(constB70, constB71)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 72.68/45.90 tff(12092,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12093,plain,
% 72.68/45.90 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12094,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12093])).
% 72.68/45.90 tff(12095,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12094, 12092])).
% 72.68/45.90 tff(12096,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12097,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 72.68/45.90 tff(12098,plain,
% 72.68/45.90 (~v101(constB71)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12097, 288, 12091, 12088])).
% 72.68/45.90 tff(12099,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12100,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12101,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 72.68/45.90 tff(12102,plain,
% 72.68/45.90 (v101(constB71) | (~v100(constB71))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12101, 305, 12091])).
% 72.68/45.90 tff(12103,plain,
% 72.68/45.90 (~v100(constB71)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12102, 12098])).
% 72.68/45.90 tff(12104,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12105,plain,
% 72.68/45.90 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12106,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))))),
% 72.68/45.90 inference(monotonicity,[status(thm)],[12105])).
% 72.68/45.90 tff(12107,plain,
% 72.68/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.68/45.90 inference(transitivity,[status(thm)],[12106, 12104])).
% 72.68/45.90 tff(12108,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12109,plain,
% 72.68/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 72.68/45.90 tff(12110,plain,
% 72.68/45.90 (v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12109, 320, 12091])).
% 72.68/45.90 tff(12111,plain,
% 72.68/45.90 (v90(constB70, bitIndex2) | (~v90(constB71, bitIndex2))),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12110, 12103])).
% 72.68/45.90 tff(12112,plain,
% 72.68/45.90 (~v90(constB71, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12111, 12085])).
% 72.68/45.90 tff(12113,plain,
% 72.68/45.90 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 72.68/45.90 inference(bind,[status(th)],[])).
% 72.68/45.90 tff(12114,plain,
% 72.68/45.90 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 72.68/45.90 inference(quant_intro,[status(thm)],[12113])).
% 72.68/45.90 tff(12115,plain,
% 72.68/45.90 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12116,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 72.68/45.90 tff(12117,plain,
% 72.68/45.90 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12116, 12115])).
% 72.68/45.90 tff(12118,plain,(
% 72.68/45.90 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 72.68/45.90 inference(skolemize,[status(sab)],[12117])).
% 72.68/45.90 tff(12119,plain,
% 72.68/45.90 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12118, 12114])).
% 72.68/45.90 tff(12120,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12121,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12122,plain,
% 72.68/45.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2))),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 72.68/45.90 tff(12123,plain,
% 72.68/45.90 (~v88(constB71, bitIndex2)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12122, 12119, 12112])).
% 72.68/45.90 tff(12124,plain,
% 72.68/45.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1))),
% 72.68/45.90 inference(rewrite,[status(thm)],[])).
% 72.68/45.90 tff(12125,plain,
% 72.68/45.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))),
% 72.68/45.90 inference(quant_inst,[status(thm)],[])).
% 72.68/45.90 tff(12126,plain,
% 72.68/45.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1)),
% 72.68/45.90 inference(modus_ponens,[status(thm)],[12125, 12124])).
% 72.68/45.90 tff(12127,plain,
% 72.68/45.90 (v130(constB69, bitIndex1)),
% 72.68/45.90 inference(unit_resolution,[status(thm)],[12126, 1904, 11984])).
% 72.68/45.90 tff(12128,plain,
% 72.68/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12129,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12130,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 72.68/45.91 tff(12131,plain,
% 72.68/45.91 ((~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12130, 990, 12008])).
% 72.68/45.91 tff(12132,plain,
% 72.68/45.91 (v127(constB69, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12131, 12127])).
% 72.68/45.91 tff(12133,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12134,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12135,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 72.68/45.91 tff(12136,plain,
% 72.68/45.91 ((~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12135, 1005, 12020])).
% 72.68/45.91 tff(12137,plain,
% 72.68/45.91 (v129(constB70, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12136, 12132])).
% 72.68/45.91 tff(12138,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12139,plain,
% 72.68/45.91 ((v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12140,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12139])).
% 72.68/45.91 tff(12141,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12140, 12138])).
% 72.68/45.91 tff(12142,plain,
% 72.68/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12143,plain,
% 72.68/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 72.68/45.91 tff(12144,plain,
% 72.68/45.91 (v90(constB70, bitIndex1) | (~v100(constB70))),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12143, 1020, 12137])).
% 72.68/45.91 tff(12145,plain,
% 72.68/45.91 (v90(constB70, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12144, 12060])).
% 72.68/45.91 tff(12146,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12147,plain,
% 72.68/45.91 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12148,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12147])).
% 72.68/45.91 tff(12149,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12148, 12146])).
% 72.68/45.91 tff(12150,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12151,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 72.68/45.91 tff(12152,plain,
% 72.68/45.91 ((~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12151, 1038, 12091])).
% 72.68/45.91 tff(12153,plain,
% 72.68/45.91 ((~v90(constB70, bitIndex1)) | v90(constB71, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12152, 12103])).
% 72.68/45.91 tff(12154,plain,
% 72.68/45.91 (v90(constB71, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12153, 12145])).
% 72.68/45.91 tff(12155,plain,
% 72.68/45.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12156,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12157,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 72.68/45.91 tff(12158,plain,
% 72.68/45.91 (v88(constB71, bitIndex1)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12157, 4297, 12154])).
% 72.68/45.91 tff(12159,plain,
% 72.68/45.91 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12160,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12161,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 72.68/45.91 tff(12162,plain,
% 72.68/45.91 (v130(constB69, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12161, 1945, 11984])).
% 72.68/45.91 tff(12163,plain,
% 72.68/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12164,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12165,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 72.68/45.91 tff(12166,plain,
% 72.68/45.91 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12165, 1413, 12008])).
% 72.68/45.91 tff(12167,plain,
% 72.68/45.91 (v127(constB69, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12166, 12162])).
% 72.68/45.91 tff(12168,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12169,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12170,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12169, 12168])).
% 72.68/45.91 tff(12171,plain,
% 72.68/45.91 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12170, 1428, 12020])).
% 72.68/45.91 tff(12172,plain,
% 72.68/45.91 (v129(constB70, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12171, 12167])).
% 72.68/45.91 tff(12173,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12174,plain,
% 72.68/45.91 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12175,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12174])).
% 72.68/45.91 tff(12176,plain,
% 72.68/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12175, 12173])).
% 72.68/45.91 tff(12177,plain,
% 72.68/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12178,plain,
% 72.68/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 72.68/45.91 tff(12179,plain,
% 72.68/45.91 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12178, 1443, 12172])).
% 72.68/45.91 tff(12180,plain,
% 72.68/45.91 (v90(constB70, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12179, 12060])).
% 72.68/45.91 tff(12181,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12182,plain,
% 72.68/45.91 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12183,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12182])).
% 72.68/45.91 tff(12184,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12183, 12181])).
% 72.68/45.91 tff(12185,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12186,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12185, 12184])).
% 72.68/45.91 tff(12187,plain,
% 72.68/45.91 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12186, 1461, 12091])).
% 72.68/45.91 tff(12188,plain,
% 72.68/45.91 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12187, 12103])).
% 72.68/45.91 tff(12189,plain,
% 72.68/45.91 (v90(constB71, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12188, 12180])).
% 72.68/45.91 tff(12190,plain,
% 72.68/45.91 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12191,plain,
% 72.68/45.91 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12190])).
% 72.68/45.91 tff(12192,plain,
% 72.68/45.91 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12193,plain,
% 72.68/45.91 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12194,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12193])).
% 72.68/45.91 tff(12195,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 72.68/45.91 tff(12196,plain,
% 72.68/45.91 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 72.68/45.91 tff(12197,plain,
% 72.68/45.91 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12196, 12192])).
% 72.68/45.91 tff(12198,plain,(
% 72.68/45.91 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12197])).
% 72.68/45.91 tff(12199,plain,
% 72.68/45.91 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12198, 12191])).
% 72.68/45.91 tff(12200,plain,
% 72.68/45.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12201,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12202,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12201, 12200])).
% 72.68/45.91 tff(12203,plain,
% 72.68/45.91 (v88(constB71, bitIndex0)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12202, 12199, 12189])).
% 72.68/45.91 tff(12204,plain,
% 72.68/45.91 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12205,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12204])).
% 72.68/45.91 tff(12206,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12207,plain,
% 72.68/45.91 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)))), rewrite((((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12208,plain,
% 72.68/45.91 (![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12207])).
% 72.68/45.91 tff(12209,axiom,(![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 72.68/45.91 tff(12210,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12209, 12208])).
% 72.68/45.91 tff(12211,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12210, 12206])).
% 72.68/45.91 tff(12212,plain,(
% 72.68/45.91 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12211])).
% 72.68/45.91 tff(12213,plain,
% 72.68/45.91 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12212, 12205])).
% 72.68/45.91 tff(12214,plain,
% 72.68/45.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12215,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12216,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 72.68/45.91 tff(12217,plain,
% 72.68/45.91 (v141(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12216, 12213, 12203, 12158, 12123])).
% 72.68/45.91 tff(12218,plain,
% 72.68/45.91 (^[VarCurr: $i] : refl((v168(VarCurr) | (~v141(VarCurr))) <=> (v168(VarCurr) | (~v141(VarCurr))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12219,plain,
% 72.68/45.91 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12218])).
% 72.68/45.91 tff(12220,plain,
% 72.68/45.91 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12221,axiom,(![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 72.68/45.91 tff(12222,plain,
% 72.68/45.91 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 72.68/45.91 tff(12223,plain,(
% 72.68/45.91 ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12222])).
% 72.68/45.91 tff(12224,plain,
% 72.68/45.91 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12223, 12219])).
% 72.68/45.91 tff(12225,plain,
% 72.68/45.91 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB71) | (~v141(constB71)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12226,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB71) | (~v141(constB71)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12227,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB71) | (~v141(constB71))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 72.68/45.91 tff(12228,plain,
% 72.68/45.91 (v168(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12227, 12224, 12217])).
% 72.68/45.91 tff(12229,plain,
% 72.68/45.91 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v168(VarCurr))) <=> (v167(VarCurr) | (~v168(VarCurr))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12230,plain,
% 72.68/45.91 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12229])).
% 72.68/45.91 tff(12231,plain,
% 72.68/45.91 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12232,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 72.68/45.91 tff(12233,plain,
% 72.68/45.91 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 72.68/45.91 tff(12234,plain,(
% 72.68/45.91 ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12233])).
% 72.68/45.91 tff(12235,plain,
% 72.68/45.91 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12234, 12230])).
% 72.68/45.91 tff(12236,plain,
% 72.68/45.91 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB71) | (~v168(constB71)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB71) | (~v168(constB71)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12237,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB71) | (~v168(constB71)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12238,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB71) | (~v168(constB71))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 72.68/45.91 tff(12239,plain,
% 72.68/45.91 (v167(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12238, 12235, 12228])).
% 72.68/45.91 tff(12240,plain,
% 72.68/45.91 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB71)) | (~v170(constB71)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB71)) | (~v170(constB71)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12241,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB71)) | (~v170(constB71)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12242,plain,
% 72.68/45.91 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB71)) | (~v170(constB71))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 72.68/45.91 tff(12243,plain,
% 72.68/45.91 (~v170(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12242, 4351, 12239])).
% 72.68/45.91 tff(12244,plain,
% 72.68/45.91 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB71) | (~v167(constB71)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB71) | (~v167(constB71)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12245,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB71) | (~v167(constB71)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12246,plain,
% 72.68/45.91 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB71) | (~v167(constB71))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 72.68/45.91 tff(12247,plain,
% 72.68/45.91 (v166(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12246, 4362, 12239])).
% 72.68/45.91 tff(12248,plain,
% 72.68/45.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB71)) | (~v166(constB71)) | v170(constB71))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB71)) | (~v166(constB71)) | v170(constB71))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12249,plain,
% 72.68/45.91 (((~v166(constB71)) | v170(constB71) | (~v163(constB71))) <=> ((~v163(constB71)) | (~v166(constB71)) | v170(constB71))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12250,plain,
% 72.68/45.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB71)) | v170(constB71) | (~v163(constB71)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB71)) | (~v166(constB71)) | v170(constB71)))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12249])).
% 72.68/45.91 tff(12251,plain,
% 72.68/45.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB71)) | v170(constB71) | (~v163(constB71)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB71)) | (~v166(constB71)) | v170(constB71))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12250, 12248])).
% 72.68/45.91 tff(12252,plain,
% 72.68/45.91 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB71)) | v170(constB71) | (~v163(constB71)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12253,plain,
% 72.68/45.91 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB71)) | (~v166(constB71)) | v170(constB71)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 72.68/45.91 tff(12254,plain,
% 72.68/45.91 (~v163(constB71)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12253, 4376, 12247, 12243])).
% 72.68/45.91 tff(12255,plain,
% 72.68/45.91 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12256,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 72.68/45.91 tff(12257,plain,
% 72.68/45.91 (nextState(constB71, constB72)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 72.68/45.91 tff(12258,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12259,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12258])).
% 72.68/45.91 tff(12260,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12261,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12262,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12261])).
% 72.68/45.91 tff(12263,axiom,(![VarNext: $i, VarCurr: $i] : ((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_1_1_2')).
% 72.68/45.91 tff(12264,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 72.68/45.91 tff(12265,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12264, 12260])).
% 72.68/45.91 tff(12266,plain,(
% 72.68/45.91 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12265])).
% 72.68/45.91 tff(12267,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12266, 12259])).
% 72.68/45.91 tff(12268,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12269,plain,
% 72.68/45.91 (((~nextState(constB71, constB72)) | v163(constB71) | (~v186(constB72))) <=> (v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12270,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB71, constB72)) | v163(constB71) | (~v186(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72))))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12269])).
% 72.68/45.91 tff(12271,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB71, constB72)) | v163(constB71) | (~v186(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72)))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12270, 12268])).
% 72.68/45.91 tff(12272,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB71, constB72)) | v163(constB71) | (~v186(constB72)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12273,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB71) | (~nextState(constB71, constB72)) | (~v186(constB72))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 72.68/45.91 tff(12274,plain,
% 72.68/45.91 (v163(constB71) | (~v186(constB72))),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12273, 12267, 12257])).
% 72.68/45.91 tff(12275,plain,
% 72.68/45.91 (~v186(constB72)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12274, 12254])).
% 72.68/45.91 tff(12276,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12277,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12278,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 72.68/45.91 tff(12279,plain,
% 72.68/45.91 (~v104(constB72)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12278, 510, 12257, 12088])).
% 72.68/45.91 tff(12280,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12281,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12280])).
% 72.68/45.91 tff(12282,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12283,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12284,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12283])).
% 72.68/45.91 tff(12285,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14_1_2')).
% 72.68/45.91 tff(12286,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 72.68/45.91 tff(12287,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12286, 12282])).
% 72.68/45.91 tff(12288,plain,(
% 72.68/45.91 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(skolemize,[status(sab)],[12287])).
% 72.68/45.91 tff(12289,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12288, 12281])).
% 72.68/45.91 tff(12290,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB71, constB72)) | v181(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB71, constB72)) | v181(constB72) | v104(constB72))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12291,plain,
% 72.68/45.91 (((~nextState(constB71, constB72)) | v104(constB72) | v181(constB72)) <=> ((~nextState(constB71, constB72)) | v181(constB72) | v104(constB72))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12292,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v181(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB71, constB72)) | v181(constB72) | v104(constB72)))),
% 72.68/45.91 inference(monotonicity,[status(thm)],[12291])).
% 72.68/45.91 tff(12293,plain,
% 72.68/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v181(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB71, constB72)) | v181(constB72) | v104(constB72))),
% 72.68/45.91 inference(transitivity,[status(thm)],[12292, 12290])).
% 72.68/45.91 tff(12294,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v181(constB72))),
% 72.68/45.91 inference(quant_inst,[status(thm)],[])).
% 72.68/45.91 tff(12295,plain,
% 72.68/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB71, constB72)) | v181(constB72) | v104(constB72)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 72.68/45.91 tff(12296,plain,
% 72.68/45.91 (v181(constB72) | v104(constB72)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12295, 12289, 12257])).
% 72.68/45.91 tff(12297,plain,
% 72.68/45.91 (v181(constB72)),
% 72.68/45.91 inference(unit_resolution,[status(thm)],[12296, 12279])).
% 72.68/45.91 tff(12298,plain,
% 72.68/45.91 (v1(constB72) <=> v1(constB72)),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12299,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 72.68/45.91 tff(12300,plain,
% 72.68/45.91 (v1(constB72)),
% 72.68/45.91 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 72.68/45.91 tff(12301,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))))),
% 72.68/45.91 inference(bind,[status(th)],[])).
% 72.68/45.91 tff(12302,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.91 inference(quant_intro,[status(thm)],[12301])).
% 72.68/45.91 tff(12303,plain,
% 72.68/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.91 inference(rewrite,[status(thm)],[])).
% 72.68/45.91 tff(12304,plain,
% 72.68/45.91 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) <=> ((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), ((((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), ((((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12305,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : (((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12304])).
% 72.68/45.92 tff(12306,axiom,(![VarNext: $i, VarCurr: $i] : (((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1')).
% 72.68/45.92 tff(12307,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 72.68/45.92 tff(12308,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12307, 12303])).
% 72.68/45.92 tff(12309,plain,(
% 72.68/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12308])).
% 72.68/45.92 tff(12310,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12309, 12302])).
% 72.68/45.92 tff(12311,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12312,plain,
% 72.68/45.92 (((~nextState(constB71, constB72)) | (~v1(constB72)) | v180(constB72) | (~v181(constB72))) <=> ((~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12313,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v180(constB72) | (~v181(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72))))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12312])).
% 72.68/45.92 tff(12314,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v180(constB72) | (~v181(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72)))),
% 72.68/45.92 inference(transitivity,[status(thm)],[12313, 12311])).
% 72.68/45.92 tff(12315,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v180(constB72) | (~v181(constB72)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12316,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB71, constB72)) | v180(constB72) | (~v1(constB72)) | (~v181(constB72))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 72.68/45.92 tff(12317,plain,
% 72.68/45.92 (v180(constB72) | (~v181(constB72))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12316, 12310, 12257, 12300])).
% 72.68/45.92 tff(12318,plain,
% 72.68/45.92 (v180(constB72)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12317, 12297])).
% 72.68/45.92 tff(12319,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12320,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12319])).
% 72.68/45.92 tff(12321,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12322,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : rewrite(((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12323,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12322])).
% 72.68/45.92 tff(12324,axiom,(![VarNext: $i, VarCurr: $i] : ((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1')).
% 72.68/45.92 tff(12325,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12324, 12323])).
% 72.68/45.92 tff(12326,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12325, 12321])).
% 72.68/45.92 tff(12327,plain,(
% 72.68/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12326])).
% 72.68/45.92 tff(12328,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12327, 12320])).
% 72.68/45.92 tff(12329,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v179(constB72) | (~v180(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v179(constB72) | (~v180(constB72)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12330,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v179(constB72) | (~v180(constB72)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12331,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v179(constB72) | (~v180(constB72))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 72.68/45.92 tff(12332,plain,
% 72.68/45.92 (v179(constB72) | (~v180(constB72))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12331, 12328, 12257])).
% 72.68/45.92 tff(12333,plain,
% 72.68/45.92 (v179(constB72)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12332, 12318])).
% 72.68/45.92 tff(12334,plain,
% 72.68/45.92 (^[VarNext: $i] : refl(((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12335,plain,
% 72.68/45.92 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12334])).
% 72.68/45.92 tff(12336,plain,
% 72.68/45.92 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12337,plain,
% 72.68/45.92 (^[VarNext: $i] : rewrite(((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext))) <=> ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12338,plain,
% 72.68/45.92 (![VarNext: $i] : ((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext))) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12337])).
% 72.68/45.92 tff(12339,axiom,(![VarNext: $i] : ((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 72.68/45.92 tff(12340,plain,
% 72.68/45.92 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 72.68/45.92 tff(12341,plain,
% 72.68/45.92 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12340, 12336])).
% 72.68/45.92 tff(12342,plain,(
% 72.68/45.92 ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12341])).
% 72.68/45.92 tff(12343,plain,
% 72.68/45.92 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12342, 12335])).
% 72.68/45.92 tff(12344,plain,
% 72.68/45.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB72)) | v186(constB72) | (~v179(constB72)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB72)) | v186(constB72) | (~v179(constB72)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12345,plain,
% 72.68/45.92 (((~v179(constB72)) | (~v159(constB72)) | v186(constB72)) <=> ((~v159(constB72)) | v186(constB72) | (~v179(constB72)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12346,plain,
% 72.68/45.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB72)) | (~v159(constB72)) | v186(constB72))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB72)) | v186(constB72) | (~v179(constB72))))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12345])).
% 72.68/45.92 tff(12347,plain,
% 72.68/45.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB72)) | (~v159(constB72)) | v186(constB72))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB72)) | v186(constB72) | (~v179(constB72)))),
% 72.68/45.92 inference(transitivity,[status(thm)],[12346, 12344])).
% 72.68/45.92 tff(12348,plain,
% 72.68/45.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB72)) | (~v159(constB72)) | v186(constB72))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12349,plain,
% 72.68/45.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB72)) | v186(constB72) | (~v179(constB72))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12348, 12347])).
% 72.68/45.92 tff(12350,plain,
% 72.68/45.92 ((~v159(constB72)) | v186(constB72)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12349, 12343, 12333])).
% 72.68/45.92 tff(12351,plain,
% 72.68/45.92 (~v159(constB72)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12350, 12275])).
% 72.68/45.92 tff(12352,plain,
% 72.68/45.92 ((~v1(constB73)) <=> (~v1(constB73))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12353,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 72.68/45.92 tff(12354,plain,
% 72.68/45.92 (~v1(constB73)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 72.68/45.92 tff(12355,plain,
% 72.68/45.92 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12356,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 72.68/45.92 tff(12357,plain,
% 72.68/45.92 (nextState(constB72, constB73)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 72.68/45.92 tff(12358,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12359,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12358])).
% 72.68/45.92 tff(12360,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12361,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12362,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12361])).
% 72.68/45.92 tff(12363,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_2')).
% 72.68/45.92 tff(12364,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 72.68/45.92 tff(12365,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12364, 12360])).
% 72.68/45.92 tff(12366,plain,(
% 72.68/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12365])).
% 72.68/45.92 tff(12367,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12366, 12359])).
% 72.68/45.92 tff(12368,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12369,plain,
% 72.68/45.92 (((~nextState(constB72, constB73)) | v1(constB73) | (~v180(constB73))) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12370,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v1(constB73) | (~v180(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73))))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12369])).
% 72.68/45.92 tff(12371,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v1(constB73) | (~v180(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73)))),
% 72.68/45.92 inference(transitivity,[status(thm)],[12370, 12368])).
% 72.68/45.92 tff(12372,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v1(constB73) | (~v180(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12373,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v180(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 72.68/45.92 tff(12374,plain,
% 72.68/45.92 (~v180(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12373, 12367, 12357, 12354])).
% 72.68/45.92 tff(12375,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12376,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12375])).
% 72.68/45.92 tff(12377,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12378,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : rewrite(((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12379,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12378])).
% 72.68/45.92 tff(12380,axiom,(![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_2')).
% 72.68/45.92 tff(12381,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 72.68/45.92 tff(12382,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12381, 12377])).
% 72.68/45.92 tff(12383,plain,(
% 72.68/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12382])).
% 72.68/45.92 tff(12384,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12383, 12376])).
% 72.68/45.92 tff(12385,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12386,plain,
% 72.68/45.92 (((~nextState(constB72, constB73)) | (~v179(constB73)) | v180(constB73)) <=> ((~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12387,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB72, constB73)) | (~v179(constB73)) | v180(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73))))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12386])).
% 72.68/45.92 tff(12388,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB72, constB73)) | (~v179(constB73)) | v180(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73)))),
% 72.68/45.92 inference(transitivity,[status(thm)],[12387, 12385])).
% 72.68/45.92 tff(12389,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB72, constB73)) | (~v179(constB73)) | v180(constB73))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12390,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB72, constB73)) | v180(constB73) | (~v179(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 72.68/45.92 tff(12391,plain,
% 72.68/45.92 (v180(constB73) | (~v179(constB73))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12390, 12384, 12357])).
% 72.68/45.92 tff(12392,plain,
% 72.68/45.92 (~v179(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12391, 12374])).
% 72.68/45.92 tff(12393,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12394,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12393])).
% 72.68/45.92 tff(12395,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12396,plain,
% 72.68/45.92 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) <=> (v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), ((((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), ((((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12397,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : (((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12396])).
% 72.68/45.92 tff(12398,axiom,(![VarNext: $i, VarCurr: $i] : (((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1_2')).
% 72.68/45.92 tff(12399,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 72.68/45.92 tff(12400,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12399, 12395])).
% 72.68/45.92 tff(12401,plain,(
% 72.68/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12400])).
% 72.68/45.92 tff(12402,plain,
% 72.68/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12401, 12394])).
% 72.68/45.92 tff(12403,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12404,plain,
% 72.68/45.92 (((~nextState(constB72, constB73)) | v179(constB73) | v159(constB72) | (~v159(constB73))) <=> (v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12405,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB72, constB73)) | v179(constB73) | v159(constB72) | (~v159(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73))))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12404])).
% 72.68/45.92 tff(12406,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB72, constB73)) | v179(constB73) | v159(constB72) | (~v159(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73)))),
% 72.68/45.92 inference(transitivity,[status(thm)],[12405, 12403])).
% 72.68/45.92 tff(12407,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB72, constB73)) | v179(constB73) | v159(constB72) | (~v159(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12408,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB72) | (~nextState(constB72, constB73)) | v179(constB73) | (~v159(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12407, 12406])).
% 72.68/45.92 tff(12409,plain,
% 72.68/45.92 (v159(constB72) | v179(constB73) | (~v159(constB73))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12408, 12402, 12357])).
% 72.68/45.92 tff(12410,plain,
% 72.68/45.92 (v159(constB72) | (~v159(constB73))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12409, 12392])).
% 72.68/45.92 tff(12411,plain,
% 72.68/45.92 (~v159(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12410, 12351])).
% 72.68/45.92 tff(12412,plain,
% 72.68/45.92 (^[VarCurr: $i] : refl((v159(VarCurr) | (~v201(VarCurr))) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 72.68/45.92 inference(bind,[status(th)],[])).
% 72.68/45.92 tff(12413,plain,
% 72.68/45.92 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 72.68/45.92 inference(quant_intro,[status(thm)],[12412])).
% 72.68/45.92 tff(12414,plain,
% 72.68/45.92 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12415,axiom,(![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 72.68/45.92 tff(12416,plain,
% 72.68/45.92 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12415, 12414])).
% 72.68/45.92 tff(12417,plain,(
% 72.68/45.92 ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 72.68/45.92 inference(skolemize,[status(sab)],[12416])).
% 72.68/45.92 tff(12418,plain,
% 72.68/45.92 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12417, 12413])).
% 72.68/45.92 tff(12419,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB73) | (~v201(constB73)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB73) | (~v201(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12420,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB73) | (~v201(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12421,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB73) | (~v201(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12420, 12419])).
% 72.68/45.92 tff(12422,plain,
% 72.68/45.92 (~v201(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12421, 12418, 12411])).
% 72.68/45.92 tff(12423,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12424,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12425,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 72.68/45.92 tff(12426,plain,
% 72.68/45.92 (~v200(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12425, 4401, 12422])).
% 72.68/45.92 tff(12427,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12428,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12429,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12428, 12427])).
% 72.68/45.92 tff(12430,plain,
% 72.68/45.92 (~v198(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12429, 4412, 12426])).
% 72.68/45.92 tff(12431,assumption,(v18(constB74)), introduced(assumption)).
% 72.68/45.92 tff(12432,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB74))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12433,plain,
% 72.68/45.92 ($false),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12432, 58, 12431])).
% 72.68/45.92 tff(12434,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.92 tff(12435,plain,
% 72.68/45.92 (v1(constB74) <=> v1(constB74)),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12436,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 72.68/45.92 tff(12437,plain,
% 72.68/45.92 (v1(constB74)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 72.68/45.92 tff(12438,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12439,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12440,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12439, 12438])).
% 72.68/45.92 tff(12441,plain,
% 72.68/45.92 (v22(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12440, 71, 12437])).
% 72.68/45.92 tff(12442,plain,
% 72.68/45.92 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12443,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12444,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 72.68/45.92 tff(12445,plain,
% 72.68/45.92 ((~v19(constB74)) | v18(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12444, 85, 12441])).
% 72.68/45.92 tff(12446,plain,
% 72.68/45.92 (~v19(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12445, 12434])).
% 72.68/45.92 tff(12447,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12448,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12449,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 72.68/45.92 tff(12450,plain,
% 72.68/45.92 (v13(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12449, 100, 12446])).
% 72.68/45.92 tff(12451,plain,
% 72.68/45.92 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12452,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 72.68/45.92 tff(12453,plain,
% 72.68/45.92 (nextState(constB73, constB74)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 72.68/45.92 tff(12454,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12455,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12456,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12455, 12454])).
% 72.68/45.92 tff(12457,plain,
% 72.68/45.92 ((~v13(constB74)) | v9(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12456, 117, 12453])).
% 72.68/45.92 tff(12458,plain,
% 72.68/45.92 (v9(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12457, 12450])).
% 72.68/45.92 tff(12459,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12460,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12461,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 72.68/45.92 tff(12462,plain,
% 72.68/45.92 ((~v9(constB73)) | v197(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12461, 4454, 12354])).
% 72.68/45.92 tff(12463,plain,
% 72.68/45.92 (v197(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12462, 12458])).
% 72.68/45.92 tff(12464,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB73) | (~v197(constB73)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB73) | (~v197(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12465,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB73) | (~v197(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12466,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB73) | (~v197(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 72.68/45.92 tff(12467,plain,
% 72.68/45.92 (v196(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12466, 4466, 12463])).
% 72.68/45.92 tff(12468,plain,
% 72.68/45.92 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB73)) | (~v194(constB73)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB73)) | (~v194(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12469,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB73)) | (~v194(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12470,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB73)) | (~v194(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 72.68/45.92 tff(12471,plain,
% 72.68/45.92 (~v194(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12470, 4477, 12467])).
% 72.68/45.92 tff(12472,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12473,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12474,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 72.68/45.92 tff(12475,plain,
% 72.68/45.92 (v198(constB73) | (~v191(constB73))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12474, 4491, 12471])).
% 72.68/45.92 tff(12476,plain,
% 72.68/45.92 (~v191(constB73)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12475, 12430])).
% 72.68/45.92 tff(12477,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12478,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12479,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 72.68/45.92 tff(12480,plain,
% 72.68/45.92 (v191(constB73) | (~v193(constB74))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12479, 4506, 12453])).
% 72.68/45.92 tff(12481,plain,
% 72.68/45.92 (~v193(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12480, 12476])).
% 72.68/45.92 tff(12482,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12483,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12484,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12483, 12482])).
% 72.68/45.92 tff(12485,plain,
% 72.68/45.92 (~v194(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12484, 4518, 12481])).
% 72.68/45.92 tff(12486,plain,
% 72.68/45.92 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12487,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12488,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 72.68/45.92 tff(12489,plain,
% 72.68/45.92 (~v197(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12488, 4529, 12437])).
% 72.68/45.92 tff(12490,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12491,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12492,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 72.68/45.92 tff(12493,plain,
% 72.68/45.92 (~v200(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12492, 4540, 12489])).
% 72.68/45.92 tff(12494,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12495,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12496,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 72.68/45.92 tff(12497,plain,
% 72.68/45.92 (~v198(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12496, 4412, 12493])).
% 72.68/45.92 tff(12498,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12499,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12500,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12499, 12498])).
% 72.68/45.92 tff(12501,plain,
% 72.68/45.92 (v194(constB74) | (~v191(constB74))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12500, 4491, 12497])).
% 72.68/45.92 tff(12502,plain,
% 72.68/45.92 (~v191(constB74)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12501, 12485])).
% 72.68/45.92 tff(12503,plain,
% 72.68/45.92 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12504,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 72.68/45.92 tff(12505,plain,
% 72.68/45.92 (nextState(constB74, constB75)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 72.68/45.92 tff(12506,plain,
% 72.68/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12507,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12508,plain,
% 72.68/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 72.68/45.92 tff(12509,plain,
% 72.68/45.92 (v191(constB74) | (~v193(constB75))),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12508, 4506, 12505])).
% 72.68/45.92 tff(12510,plain,
% 72.68/45.92 (~v193(constB75)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12509, 12502])).
% 72.68/45.92 tff(12511,plain,
% 72.68/45.92 ($false),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12510, 4614])).
% 72.68/45.92 tff(12512,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.92 tff(12513,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 72.68/45.92 tff(12514,plain,
% 72.68/45.92 (v1(constB150) <=> v1(sK0_VarCurr)),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12513])).
% 72.68/45.92 tff(12515,plain,
% 72.68/45.92 (v1(sK0_VarCurr) <=> v1(constB150)),
% 72.68/45.92 inference(symmetry,[status(thm)],[12514])).
% 72.68/45.92 tff(12516,plain,
% 72.68/45.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12515])).
% 72.68/45.92 tff(12517,plain,
% 72.68/45.92 (~v1(constB150)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[4604, 12516])).
% 72.68/45.92 tff(12518,plain,
% 72.68/45.92 (v1(constB150) <=> v1(constB150)),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12519,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 72.68/45.92 tff(12520,plain,
% 72.68/45.92 (v1(constB150)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 72.68/45.92 tff(12521,plain,
% 72.68/45.92 ($false),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12520, 12517])).
% 72.68/45.92 tff(12522,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.68/45.92 tff(12523,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 72.68/45.92 tff(12524,plain,
% 72.68/45.92 (v193(constB171) <=> v193(sK0_VarCurr)),
% 72.68/45.92 inference(monotonicity,[status(thm)],[12523])).
% 72.68/45.92 tff(12525,plain,
% 72.68/45.92 (v193(sK0_VarCurr) <=> v193(constB171)),
% 72.68/45.92 inference(symmetry,[status(thm)],[12524])).
% 72.68/45.92 tff(12526,plain,
% 72.68/45.92 (v193(constB171)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[17, 12525])).
% 72.68/45.92 tff(12527,plain,
% 72.68/45.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12528,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12529,plain,
% 72.68/45.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71)),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 72.68/45.92 tff(12530,plain,
% 72.68/45.92 (v122(constB71)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12529, 1986, 12189, 12154, 12112])).
% 72.68/45.92 tff(12531,assumption,(~v123(constB73)), introduced(assumption)).
% 72.68/45.92 tff(12532,assumption,(v122(constB71)), introduced(assumption)).
% 72.68/45.92 tff(12533,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12534,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12535,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 72.68/45.92 tff(12536,plain,
% 72.68/45.92 (v116(constB71)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12535, 1997, 12532])).
% 72.68/45.92 tff(12537,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71)))),
% 72.68/45.92 inference(rewrite,[status(thm)],[])).
% 72.68/45.92 tff(12538,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))),
% 72.68/45.92 inference(quant_inst,[status(thm)],[])).
% 72.68/45.92 tff(12539,plain,
% 72.68/45.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71))),
% 72.68/45.92 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 72.68/45.92 tff(12540,plain,
% 72.68/45.92 (v115(constB71)),
% 72.68/45.92 inference(unit_resolution,[status(thm)],[12539, 427, 12536])).
% 72.68/45.92 tff(12541,plain,
% 72.68/45.92 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71)))),
% 72.77/45.92 inference(rewrite,[status(thm)],[])).
% 72.77/45.92 tff(12542,plain,
% 72.77/45.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))),
% 72.77/45.92 inference(quant_inst,[status(thm)],[])).
% 72.77/45.92 tff(12543,plain,
% 72.77/45.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71))),
% 72.77/45.92 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 72.77/45.92 tff(12544,plain,
% 72.77/45.92 (v114(constB71)),
% 72.77/45.92 inference(unit_resolution,[status(thm)],[12543, 438, 12540])).
% 72.77/45.92 tff(12545,plain,
% 72.77/45.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 72.77/45.92 inference(rewrite,[status(thm)],[])).
% 72.77/45.92 tff(12546,plain,
% 72.77/45.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 72.77/45.92 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12547,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 72.77/45.93 tff(12548,plain,
% 72.77/45.93 (v113(constB71)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12547, 449, 12544])).
% 72.77/45.93 tff(12549,assumption,(v26(constB71)), introduced(assumption)).
% 72.77/45.93 tff(12550,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12551,plain,
% 72.77/45.93 ($false),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12550, 26, 12549])).
% 72.77/45.93 tff(12552,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.93 tff(12553,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12554,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12555,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 72.77/45.93 tff(12556,plain,
% 72.77/45.93 ((~v113(constB71)) | v112(constB71)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12555, 463, 12552])).
% 72.77/45.93 tff(12557,plain,
% 72.77/45.93 (v112(constB71)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12556, 12548])).
% 72.77/45.93 tff(12558,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12559,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12560,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 72.77/45.93 tff(12561,plain,
% 72.77/45.93 (v108(constB71)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12560, 475, 12557])).
% 72.77/45.93 tff(12562,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12563,plain,
% 72.77/45.93 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12564,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12563])).
% 72.77/45.93 tff(12565,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12564, 12562])).
% 72.77/45.93 tff(12566,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12567,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 72.77/45.93 tff(12568,plain,
% 72.77/45.93 (v110(constB72) | (~v108(constB71))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12567, 492, 12257])).
% 72.77/45.93 tff(12569,plain,
% 72.77/45.93 (v110(constB72)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12568, 12561])).
% 72.77/45.93 tff(12570,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12571,plain,
% 72.77/45.93 (((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12572,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12571])).
% 72.77/45.93 tff(12573,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12572, 12570])).
% 72.77/45.93 tff(12574,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12575,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 72.77/45.93 tff(12576,plain,
% 72.77/45.93 (v104(constB72) | v102(constB72)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12575, 524, 12257])).
% 72.77/45.93 tff(12577,plain,
% 72.77/45.93 (v102(constB72)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12576, 12279])).
% 72.77/45.93 tff(12578,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12579,plain,
% 72.77/45.93 (((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))) <=> ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12580,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12579])).
% 72.77/45.93 tff(12581,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12580, 12578])).
% 72.77/45.93 tff(12582,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12583,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 72.77/45.93 tff(12584,plain,
% 72.77/45.93 (v101(constB72) | (~v102(constB72))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12583, 545, 12257, 12300])).
% 72.77/45.93 tff(12585,plain,
% 72.77/45.93 (v101(constB72)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12584, 12577])).
% 72.77/45.93 tff(12586,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12587,plain,
% 72.77/45.93 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12588,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12587])).
% 72.77/45.93 tff(12589,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12588, 12586])).
% 72.77/45.93 tff(12590,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12591,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 72.77/45.93 tff(12592,plain,
% 72.77/45.93 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12591, 563, 12257])).
% 72.77/45.93 tff(12593,plain,
% 72.77/45.93 (v100(constB72) | (~v110(constB72))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12592, 12585])).
% 72.77/45.93 tff(12594,plain,
% 72.77/45.93 (v100(constB72)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12593, 12569])).
% 72.77/45.93 tff(12595,plain,
% 72.77/45.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12596,plain,
% 72.77/45.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12597,plain,
% 72.77/45.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 72.77/45.93 tff(12598,plain,
% 72.77/45.93 (v130(constB71, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12597, 2079, 12532])).
% 72.77/45.93 tff(12599,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12600,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12601,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 72.77/45.93 tff(12602,plain,
% 72.77/45.93 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12601, 596, 12552])).
% 72.77/45.93 tff(12603,plain,
% 72.77/45.93 (v127(constB71, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12602, 12598])).
% 72.77/45.93 tff(12604,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12605,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12606,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 72.77/45.93 tff(12607,plain,
% 72.77/45.93 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12606, 611, 12257])).
% 72.77/45.93 tff(12608,plain,
% 72.77/45.93 (v129(constB72, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12607, 12603])).
% 72.77/45.93 tff(12609,plain,
% 72.77/45.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12610,plain,
% 72.77/45.93 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12611,plain,
% 72.77/45.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12610])).
% 72.77/45.93 tff(12612,plain,
% 72.77/45.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12611, 12609])).
% 72.77/45.93 tff(12613,plain,
% 72.77/45.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12614,plain,
% 72.77/45.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12613, 12612])).
% 72.77/45.93 tff(12615,plain,
% 72.77/45.93 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12614, 626, 12608])).
% 72.77/45.93 tff(12616,plain,
% 72.77/45.93 (v90(constB72, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12615, 12594])).
% 72.77/45.93 tff(12617,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12618,plain,
% 72.77/45.93 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12619,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12618])).
% 72.77/45.93 tff(12620,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12619, 12617])).
% 72.77/45.93 tff(12621,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12622,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 72.77/45.93 tff(12623,plain,
% 72.77/45.93 (~v101(constB73)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12622, 288, 12357, 12354])).
% 72.77/45.93 tff(12624,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12625,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12626,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12625, 12624])).
% 72.77/45.93 tff(12627,plain,
% 72.77/45.93 (v101(constB73) | (~v100(constB73))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12626, 305, 12357])).
% 72.77/45.93 tff(12628,plain,
% 72.77/45.93 (~v100(constB73)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12627, 12623])).
% 72.77/45.93 tff(12629,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12630,plain,
% 72.77/45.93 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12631,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12630])).
% 72.77/45.93 tff(12632,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12631, 12629])).
% 72.77/45.93 tff(12633,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12634,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 72.77/45.93 tff(12635,plain,
% 72.77/45.93 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12634, 662, 12357])).
% 72.77/45.93 tff(12636,plain,
% 72.77/45.93 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12635, 12628])).
% 72.77/45.93 tff(12637,plain,
% 72.77/45.93 (v90(constB73, bitIndex2)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12636, 12616])).
% 72.77/45.93 tff(12638,plain,
% 72.77/45.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12639,plain,
% 72.77/45.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12640,plain,
% 72.77/45.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 72.77/45.93 tff(12641,plain,
% 72.77/45.93 (~v130(constB71, bitIndex1)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12640, 2138, 12532])).
% 72.77/45.93 tff(12642,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12643,plain,
% 72.77/45.93 ((v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1))) <=> ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12644,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12643])).
% 72.77/45.93 tff(12645,plain,
% 72.77/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12644, 12642])).
% 72.77/45.93 tff(12646,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12647,plain,
% 72.77/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 72.77/45.93 tff(12648,plain,
% 72.77/45.93 ((~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12647, 695, 12552])).
% 72.77/45.93 tff(12649,plain,
% 72.77/45.93 (~v127(constB71, bitIndex1)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12648, 12641])).
% 72.77/45.93 tff(12650,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12651,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12652,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 72.77/45.93 tff(12653,plain,
% 72.77/45.93 (v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12652, 713, 12257])).
% 72.77/45.93 tff(12654,plain,
% 72.77/45.93 (~v129(constB72, bitIndex1)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12653, 12649])).
% 72.77/45.93 tff(12655,plain,
% 72.77/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12656,plain,
% 72.77/45.93 (((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12657,plain,
% 72.77/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12656])).
% 72.77/45.93 tff(12658,plain,
% 72.77/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12657, 12655])).
% 72.77/45.93 tff(12659,plain,
% 72.77/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))),
% 72.77/45.93 inference(quant_inst,[status(thm)],[])).
% 72.77/45.93 tff(12660,plain,
% 72.77/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))),
% 72.77/45.93 inference(modus_ponens,[status(thm)],[12659, 12658])).
% 72.77/45.93 tff(12661,plain,
% 72.77/45.93 ((~v90(constB72, bitIndex1)) | (~v100(constB72))),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12660, 728, 12654])).
% 72.77/45.93 tff(12662,plain,
% 72.77/45.93 (~v90(constB72, bitIndex1)),
% 72.77/45.93 inference(unit_resolution,[status(thm)],[12661, 12594])).
% 72.77/45.93 tff(12663,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12664,plain,
% 72.77/45.93 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 72.77/45.93 inference(rewrite,[status(thm)],[])).
% 72.77/45.93 tff(12665,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))))),
% 72.77/45.93 inference(monotonicity,[status(thm)],[12664])).
% 72.77/45.93 tff(12666,plain,
% 72.77/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 72.77/45.93 inference(transitivity,[status(thm)],[12665, 12663])).
% 72.77/45.93 tff(12667,plain,
% 72.77/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12668,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 72.77/45.94 tff(12669,plain,
% 72.77/45.94 (v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12668, 341, 12357])).
% 72.77/45.94 tff(12670,plain,
% 72.77/45.94 (v90(constB72, bitIndex1) | (~v90(constB73, bitIndex1))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12669, 12628])).
% 72.77/45.94 tff(12671,plain,
% 72.77/45.94 (~v90(constB73, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12670, 12662])).
% 72.77/45.94 tff(12672,plain,
% 72.77/45.94 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12673,plain,
% 72.77/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12674,plain,
% 72.77/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 72.77/45.94 tff(12675,plain,
% 72.77/45.94 (~v130(constB71, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12674, 2182, 12532])).
% 72.77/45.94 tff(12676,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12677,plain,
% 72.77/45.94 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12678,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12677])).
% 72.77/45.94 tff(12679,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12678, 12676])).
% 72.77/45.94 tff(12680,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12681,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 72.77/45.94 tff(12682,plain,
% 72.77/45.94 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12681, 769, 12552])).
% 72.77/45.94 tff(12683,plain,
% 72.77/45.94 (~v127(constB71, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12682, 12675])).
% 72.77/45.94 tff(12684,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12685,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12686,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 72.77/45.94 tff(12687,plain,
% 72.77/45.94 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12686, 787, 12257])).
% 72.77/45.94 tff(12688,plain,
% 72.77/45.94 (~v129(constB72, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12687, 12683])).
% 72.77/45.94 tff(12689,plain,
% 72.77/45.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12690,plain,
% 72.77/45.94 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12691,plain,
% 72.77/45.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12690])).
% 72.77/45.94 tff(12692,plain,
% 72.77/45.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12691, 12689])).
% 72.77/45.94 tff(12693,plain,
% 72.77/45.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12694,plain,
% 72.77/45.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 72.77/45.94 tff(12695,plain,
% 72.77/45.94 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12694, 802, 12688])).
% 72.77/45.94 tff(12696,plain,
% 72.77/45.94 (~v90(constB72, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12695, 12594])).
% 72.77/45.94 tff(12697,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12698,plain,
% 72.77/45.94 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12699,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12698])).
% 72.77/45.94 tff(12700,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12699, 12697])).
% 72.77/45.94 tff(12701,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12702,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 72.77/45.94 tff(12703,plain,
% 72.77/45.94 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12702, 362, 12357])).
% 72.77/45.94 tff(12704,plain,
% 72.77/45.94 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12703, 12628])).
% 72.77/45.94 tff(12705,plain,
% 72.77/45.94 (~v90(constB73, bitIndex0)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12704, 12696])).
% 72.77/45.94 tff(12706,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12707,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12708,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 72.77/45.94 tff(12709,plain,
% 72.77/45.94 ($false),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12708, 829, 12705, 12671, 12637, 12531])).
% 72.77/45.94 tff(12710,plain,((~v122(constB71)) | v123(constB73)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.94 tff(12711,plain,
% 72.77/45.94 (v123(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12710, 12530])).
% 72.77/45.94 tff(12712,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB73) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB73) | (~v123(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12713,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB73) | (~v123(constB73)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12714,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB73) | (~v123(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12713, 12712])).
% 72.77/45.94 tff(12715,plain,
% 72.77/45.94 (v115(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12714, 840, 12711])).
% 72.77/45.94 tff(12716,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB73) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB73) | (~v115(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12717,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB73) | (~v115(constB73)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12718,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB73) | (~v115(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12717, 12716])).
% 72.77/45.94 tff(12719,plain,
% 72.77/45.94 (v114(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12718, 438, 12715])).
% 72.77/45.94 tff(12720,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB73) | (~v114(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB73) | (~v114(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12721,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB73) | (~v114(constB73)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12722,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB73) | (~v114(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 72.77/45.94 tff(12723,plain,
% 72.77/45.94 (v113(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12722, 449, 12719])).
% 72.77/45.94 tff(12724,assumption,(v26(constB73)), introduced(assumption)).
% 72.77/45.94 tff(12725,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12726,plain,
% 72.77/45.94 ($false),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12725, 26, 12724])).
% 72.77/45.94 tff(12727,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.94 tff(12728,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12729,plain,
% 72.77/45.94 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12730,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12729])).
% 72.77/45.94 tff(12731,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12730, 12728])).
% 72.77/45.94 tff(12732,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12733,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 72.77/45.94 tff(12734,plain,
% 72.77/45.94 (v112(constB73) | (~v113(constB73))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12733, 463, 12727])).
% 72.77/45.94 tff(12735,plain,
% 72.77/45.94 (v112(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12734, 12723])).
% 72.77/45.94 tff(12736,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12737,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12738,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 72.77/45.94 tff(12739,plain,
% 72.77/45.94 (v108(constB73)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12738, 475, 12735])).
% 72.77/45.94 tff(12740,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12741,plain,
% 72.77/45.94 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12742,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12741])).
% 72.77/45.94 tff(12743,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12742, 12740])).
% 72.77/45.94 tff(12744,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12745,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12744, 12743])).
% 72.77/45.94 tff(12746,plain,
% 72.77/45.94 (v110(constB74) | (~v108(constB73))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12745, 492, 12453])).
% 72.77/45.94 tff(12747,plain,
% 72.77/45.94 (v110(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12746, 12739])).
% 72.77/45.94 tff(12748,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12749,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12750,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 72.77/45.94 tff(12751,plain,
% 72.77/45.94 (~v104(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12750, 510, 12453, 12354])).
% 72.77/45.94 tff(12752,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12753,plain,
% 72.77/45.94 (((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12754,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12753])).
% 72.77/45.94 tff(12755,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12754, 12752])).
% 72.77/45.94 tff(12756,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12757,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 72.77/45.94 tff(12758,plain,
% 72.77/45.94 (v104(constB74) | v102(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12757, 524, 12453])).
% 72.77/45.94 tff(12759,plain,
% 72.77/45.94 (v102(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12758, 12751])).
% 72.77/45.94 tff(12760,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12761,plain,
% 72.77/45.94 (((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))) <=> ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12762,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12761])).
% 72.77/45.94 tff(12763,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12762, 12760])).
% 72.77/45.94 tff(12764,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12765,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 72.77/45.94 tff(12766,plain,
% 72.77/45.94 (v101(constB74) | (~v102(constB74))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12765, 545, 12453, 12437])).
% 72.77/45.94 tff(12767,plain,
% 72.77/45.94 (v101(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12766, 12759])).
% 72.77/45.94 tff(12768,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12769,plain,
% 72.77/45.94 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12770,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12769])).
% 72.77/45.94 tff(12771,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12770, 12768])).
% 72.77/45.94 tff(12772,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12773,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 72.77/45.94 tff(12774,plain,
% 72.77/45.94 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12773, 563, 12453])).
% 72.77/45.94 tff(12775,plain,
% 72.77/45.94 (v100(constB74) | (~v110(constB74))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12774, 12767])).
% 72.77/45.94 tff(12776,plain,
% 72.77/45.94 (v100(constB74)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12775, 12747])).
% 72.77/45.94 tff(12777,plain,
% 72.77/45.94 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12778,plain,
% 72.77/45.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12779,plain,
% 72.77/45.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12778, 12777])).
% 72.77/45.94 tff(12780,plain,
% 72.77/45.94 (v130(constB73, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12779, 976, 12711])).
% 72.77/45.94 tff(12781,plain,
% 72.77/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12782,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12783,plain,
% 72.77/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 72.77/45.94 tff(12784,plain,
% 72.77/45.94 ((~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12783, 990, 12727])).
% 72.77/45.94 tff(12785,plain,
% 72.77/45.94 (v127(constB73, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12784, 12780])).
% 72.77/45.94 tff(12786,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12787,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12788,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 72.77/45.94 tff(12789,plain,
% 72.77/45.94 ((~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12788, 1005, 12453])).
% 72.77/45.94 tff(12790,plain,
% 72.77/45.94 (v129(constB74, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12789, 12785])).
% 72.77/45.94 tff(12791,plain,
% 72.77/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12792,plain,
% 72.77/45.94 ((v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12793,plain,
% 72.77/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12792])).
% 72.77/45.94 tff(12794,plain,
% 72.77/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12793, 12791])).
% 72.77/45.94 tff(12795,plain,
% 72.77/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12796,plain,
% 72.77/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 72.77/45.94 tff(12797,plain,
% 72.77/45.94 (v90(constB74, bitIndex1) | (~v100(constB74))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12796, 1020, 12790])).
% 72.77/45.94 tff(12798,plain,
% 72.77/45.94 (v90(constB74, bitIndex1)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12797, 12776])).
% 72.77/45.94 tff(12799,plain,
% 72.77/45.94 ((~v1(constB75)) <=> (~v1(constB75))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12800,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 72.77/45.94 tff(12801,plain,
% 72.77/45.94 (~v1(constB75)),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 72.77/45.94 tff(12802,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12803,plain,
% 72.77/45.94 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12804,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 72.77/45.94 inference(monotonicity,[status(thm)],[12803])).
% 72.77/45.94 tff(12805,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.77/45.94 inference(transitivity,[status(thm)],[12804, 12802])).
% 72.77/45.94 tff(12806,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12807,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 72.77/45.94 tff(12808,plain,
% 72.77/45.94 (~v101(constB75)),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12807, 288, 12505, 12801])).
% 72.77/45.94 tff(12809,plain,
% 72.77/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 72.77/45.94 inference(rewrite,[status(thm)],[])).
% 72.77/45.94 tff(12810,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 72.77/45.94 inference(quant_inst,[status(thm)],[])).
% 72.77/45.94 tff(12811,plain,
% 72.77/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 72.77/45.94 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 72.77/45.94 tff(12812,plain,
% 72.77/45.94 (v101(constB75) | (~v100(constB75))),
% 72.77/45.94 inference(unit_resolution,[status(thm)],[12811, 305, 12505])).
% 72.77/45.94 tff(12813,plain,
% 72.77/45.95 (~v100(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12812, 12808])).
% 72.77/45.95 tff(12814,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12815,plain,
% 72.77/45.95 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12816,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12815])).
% 72.77/45.95 tff(12817,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12816, 12814])).
% 72.77/45.95 tff(12818,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12819,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 72.77/45.95 tff(12820,plain,
% 72.77/45.95 ((~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12819, 1038, 12505])).
% 72.77/45.95 tff(12821,plain,
% 72.77/45.95 ((~v90(constB74, bitIndex1)) | v90(constB75, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12820, 12813])).
% 72.77/45.95 tff(12822,plain,
% 72.77/45.95 (v90(constB75, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12821, 12798])).
% 72.77/45.95 tff(12823,plain,
% 72.77/45.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v123(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v123(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12824,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v123(constB75)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12825,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v123(constB75))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 72.77/45.95 tff(12826,plain,
% 72.77/45.95 (~v123(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12825, 1218, 12822])).
% 72.77/45.95 tff(12827,assumption,(v123(constB73)), introduced(assumption)).
% 72.77/45.95 tff(12828,plain,
% 72.77/45.95 (v115(constB73)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12714, 840, 12827])).
% 72.77/45.95 tff(12829,plain,
% 72.77/45.95 (v114(constB73)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12718, 438, 12828])).
% 72.77/45.95 tff(12830,plain,
% 72.77/45.95 (v113(constB73)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12722, 449, 12829])).
% 72.77/45.95 tff(12831,plain,
% 72.77/45.95 (v112(constB73)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12734, 12830])).
% 72.77/45.95 tff(12832,plain,
% 72.77/45.95 (v108(constB73)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12738, 475, 12831])).
% 72.77/45.95 tff(12833,plain,
% 72.77/45.95 (v110(constB74)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12746, 12832])).
% 72.77/45.95 tff(12834,plain,
% 72.77/45.95 (v100(constB74)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12775, 12833])).
% 72.77/45.95 tff(12835,plain,
% 72.77/45.95 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12836,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12837,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 72.77/45.95 tff(12838,plain,
% 72.77/45.95 (v130(constB73, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12837, 917, 12827])).
% 72.77/45.95 tff(12839,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12840,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12841,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12840, 12839])).
% 72.77/45.95 tff(12842,plain,
% 72.77/45.95 ((~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12841, 596, 12727])).
% 72.77/45.95 tff(12843,plain,
% 72.77/45.95 (v127(constB73, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12842, 12838])).
% 72.77/45.95 tff(12844,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12845,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12846,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 72.77/45.95 tff(12847,plain,
% 72.77/45.95 ((~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12846, 611, 12453])).
% 72.77/45.95 tff(12848,plain,
% 72.77/45.95 (v129(constB74, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12847, 12843])).
% 72.77/45.95 tff(12849,plain,
% 72.77/45.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12850,plain,
% 72.77/45.95 ((v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12851,plain,
% 72.77/45.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12850])).
% 72.77/45.95 tff(12852,plain,
% 72.77/45.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12851, 12849])).
% 72.77/45.95 tff(12853,plain,
% 72.77/45.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12854,plain,
% 72.77/45.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12853, 12852])).
% 72.77/45.95 tff(12855,plain,
% 72.77/45.95 (v90(constB74, bitIndex2) | (~v100(constB74))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12854, 626, 12848])).
% 72.77/45.95 tff(12856,plain,
% 72.77/45.95 (v90(constB74, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12855, 12834])).
% 72.77/45.95 tff(12857,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12858,plain,
% 72.77/45.95 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12859,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12858])).
% 72.77/45.95 tff(12860,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12859, 12857])).
% 72.77/45.95 tff(12861,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12862,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12861, 12860])).
% 72.77/45.95 tff(12863,plain,
% 72.77/45.95 ((~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12862, 662, 12505])).
% 72.77/45.95 tff(12864,plain,
% 72.77/45.95 ((~v90(constB74, bitIndex2)) | v90(constB75, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12863, 12813])).
% 72.77/45.95 tff(12865,plain,
% 72.77/45.95 (v90(constB75, bitIndex2)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12864, 12856])).
% 72.77/45.95 tff(12866,plain,
% 72.77/45.95 (v130(constB73, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12779, 976, 12827])).
% 72.77/45.95 tff(12867,plain,
% 72.77/45.95 (v127(constB73, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12784, 12866])).
% 72.77/45.95 tff(12868,plain,
% 72.77/45.95 (v129(constB74, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12789, 12867])).
% 72.77/45.95 tff(12869,plain,
% 72.77/45.95 (v90(constB74, bitIndex1) | (~v100(constB74))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12796, 1020, 12868])).
% 72.77/45.95 tff(12870,plain,
% 72.77/45.95 (v90(constB74, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12869, 12834])).
% 72.77/45.95 tff(12871,plain,
% 72.77/45.95 (v90(constB75, bitIndex1)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12821, 12870])).
% 72.77/45.95 tff(12872,plain,
% 72.77/45.95 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12873,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12874,plain,
% 72.77/45.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12873, 12872])).
% 72.77/45.95 tff(12875,plain,
% 72.77/45.95 (~v130(constB73, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12874, 1057, 12827])).
% 72.77/45.95 tff(12876,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12877,plain,
% 72.77/45.95 ((v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0))) <=> ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12878,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12877])).
% 72.77/45.95 tff(12879,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12878, 12876])).
% 72.77/45.95 tff(12880,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12881,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12880, 12879])).
% 72.77/45.95 tff(12882,plain,
% 72.77/45.95 ((~v127(constB73, bitIndex0)) | v130(constB73, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12881, 769, 12727])).
% 72.77/45.95 tff(12883,plain,
% 72.77/45.95 (~v127(constB73, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12882, 12875])).
% 72.77/45.95 tff(12884,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12885,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12886,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 72.77/45.95 tff(12887,plain,
% 72.77/45.95 (v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12886, 787, 12453])).
% 72.77/45.95 tff(12888,plain,
% 72.77/45.95 (~v129(constB74, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12887, 12883])).
% 72.77/45.95 tff(12889,plain,
% 72.77/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12890,plain,
% 72.77/45.95 (((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12891,plain,
% 72.77/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12890])).
% 72.77/45.95 tff(12892,plain,
% 72.77/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12891, 12889])).
% 72.77/45.95 tff(12893,plain,
% 72.77/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12894,plain,
% 72.77/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12893, 12892])).
% 72.77/45.95 tff(12895,plain,
% 72.77/45.95 ((~v90(constB74, bitIndex0)) | (~v100(constB74))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12894, 802, 12888])).
% 72.77/45.95 tff(12896,plain,
% 72.77/45.95 (~v90(constB74, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12895, 12834])).
% 72.77/45.95 tff(12897,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12898,plain,
% 72.77/45.95 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12899,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12898])).
% 72.77/45.95 tff(12900,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12899, 12897])).
% 72.77/45.95 tff(12901,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12902,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 72.77/45.95 tff(12903,plain,
% 72.77/45.95 (v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12902, 362, 12505])).
% 72.77/45.95 tff(12904,plain,
% 72.77/45.95 (v90(constB74, bitIndex0) | (~v90(constB75, bitIndex0))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12903, 12813])).
% 72.77/45.95 tff(12905,plain,
% 72.77/45.95 (~v90(constB75, bitIndex0)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12904, 12896])).
% 72.77/45.95 tff(12906,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12907,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12908,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 72.77/45.95 tff(12909,plain,
% 72.77/45.95 (v125(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12908, 1101, 12905, 12871, 12865])).
% 72.77/45.95 tff(12910,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB75) | (~v125(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB75) | (~v125(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12911,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB75) | (~v125(constB75)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12912,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB75) | (~v125(constB75))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 72.77/45.95 tff(12913,plain,
% 72.77/45.95 (v113(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12912, 1112, 12909])).
% 72.77/45.95 tff(12914,assumption,(v26(constB75)), introduced(assumption)).
% 72.77/45.95 tff(12915,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12916,plain,
% 72.77/45.95 ($false),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12915, 26, 12914])).
% 72.77/45.95 tff(12917,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.95 tff(12918,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12919,plain,
% 72.77/45.95 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12920,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12919])).
% 72.77/45.95 tff(12921,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12920, 12918])).
% 72.77/45.95 tff(12922,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12923,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 72.77/45.95 tff(12924,plain,
% 72.77/45.95 (v112(constB75) | (~v113(constB75))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12923, 463, 12917])).
% 72.77/45.95 tff(12925,plain,
% 72.77/45.95 (v112(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12924, 12913])).
% 72.77/45.95 tff(12926,plain,
% 72.77/45.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12927,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12928,plain,
% 72.77/45.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 72.77/45.95 tff(12929,plain,
% 72.77/45.95 (v108(constB75)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12928, 475, 12925])).
% 72.77/45.95 tff(12930,plain,
% 72.77/45.95 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12931,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 72.77/45.95 tff(12932,plain,
% 72.77/45.95 (nextState(constB75, constB76)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 72.77/45.95 tff(12933,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12934,plain,
% 72.77/45.95 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12935,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12934])).
% 72.77/45.95 tff(12936,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12935, 12933])).
% 72.77/45.95 tff(12937,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12938,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12937, 12936])).
% 72.77/45.95 tff(12939,plain,
% 72.77/45.95 (v110(constB76) | (~v108(constB75))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12938, 492, 12932])).
% 72.77/45.95 tff(12940,plain,
% 72.77/45.95 (v110(constB76)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12939, 12929])).
% 72.77/45.95 tff(12941,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12942,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12943,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 72.77/45.95 tff(12944,plain,
% 72.77/45.95 (~v104(constB76)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12943, 510, 12932, 12801])).
% 72.77/45.95 tff(12945,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12946,plain,
% 72.77/45.95 (((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12947,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12946])).
% 72.77/45.95 tff(12948,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12947, 12945])).
% 72.77/45.95 tff(12949,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12950,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12949, 12948])).
% 72.77/45.95 tff(12951,plain,
% 72.77/45.95 (v104(constB76) | v102(constB76)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12950, 524, 12932])).
% 72.77/45.95 tff(12952,plain,
% 72.77/45.95 (v102(constB76)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12951, 12944])).
% 72.77/45.95 tff(12953,plain,
% 72.77/45.95 (v1(constB76) <=> v1(constB76)),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12954,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 72.77/45.95 tff(12955,plain,
% 72.77/45.95 (v1(constB76)),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 72.77/45.95 tff(12956,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12957,plain,
% 72.77/45.95 (((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))) <=> ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.95 tff(12958,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))))),
% 72.77/45.95 inference(monotonicity,[status(thm)],[12957])).
% 72.77/45.95 tff(12959,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 72.77/45.95 inference(transitivity,[status(thm)],[12958, 12956])).
% 72.77/45.95 tff(12960,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 72.77/45.95 inference(quant_inst,[status(thm)],[])).
% 72.77/45.95 tff(12961,plain,
% 72.77/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))),
% 72.77/45.95 inference(modus_ponens,[status(thm)],[12960, 12959])).
% 72.77/45.95 tff(12962,plain,
% 72.77/45.95 (v101(constB76) | (~v102(constB76))),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12961, 545, 12932, 12955])).
% 72.77/45.95 tff(12963,plain,
% 72.77/45.95 (v101(constB76)),
% 72.77/45.95 inference(unit_resolution,[status(thm)],[12962, 12952])).
% 72.77/45.95 tff(12964,plain,
% 72.77/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.77/45.95 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12965,plain,
% 72.77/45.96 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12966,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[12965])).
% 72.77/45.96 tff(12967,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.77/45.96 inference(transitivity,[status(thm)],[12966, 12964])).
% 72.77/45.96 tff(12968,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12969,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12968, 12967])).
% 72.77/45.96 tff(12970,plain,
% 72.77/45.96 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12969, 563, 12932])).
% 72.77/45.96 tff(12971,plain,
% 72.77/45.96 (v100(constB76) | (~v110(constB76))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12970, 12963])).
% 72.77/45.96 tff(12972,plain,
% 72.77/45.96 (v100(constB76)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12971, 12940])).
% 72.77/45.96 tff(12973,plain,
% 72.77/45.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v124(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v124(constB75)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12974,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v124(constB75)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12975,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v124(constB75))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 72.77/45.96 tff(12976,plain,
% 72.77/45.96 (~v124(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12975, 1229, 12871])).
% 72.77/45.96 tff(12977,plain,
% 72.77/45.96 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12978,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12979,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 72.77/45.96 tff(12980,plain,
% 72.77/45.96 (~v119(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12979, 1207, 12871])).
% 72.77/45.96 tff(12981,plain,
% 72.77/45.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v120(constB75)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12982,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v120(constB75)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12983,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v120(constB75))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12982, 12981])).
% 72.77/45.96 tff(12984,plain,
% 72.77/45.96 (~v120(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12983, 1240, 12871])).
% 72.77/45.96 tff(12985,plain,
% 72.77/45.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v121(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v121(constB75)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12986,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v121(constB75)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12987,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v121(constB75))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12986, 12985])).
% 72.77/45.96 tff(12988,plain,
% 72.77/45.96 (~v121(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12987, 1182, 12865])).
% 72.77/45.96 tff(12989,plain,
% 72.77/45.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v122(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v122(constB75)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12990,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v122(constB75)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12991,plain,
% 72.77/45.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v122(constB75))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 72.77/45.96 tff(12992,plain,
% 72.77/45.96 (~v122(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12991, 1193, 12865])).
% 72.77/45.96 tff(12993,assumption,(~v123(constB75)), introduced(assumption)).
% 72.77/45.96 tff(12994,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12995,plain,
% 72.77/45.96 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2))) <=> ((~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(12996,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75)))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[12995])).
% 72.77/45.96 tff(12997,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75))),
% 72.77/45.96 inference(transitivity,[status(thm)],[12996, 12994])).
% 72.77/45.96 tff(12998,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(12999,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB75, bitIndex2)) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 72.77/45.96 tff(13000,plain,
% 72.77/45.96 ((~v130(constB75, bitIndex2)) | v124(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[12999, 1254, 12993])).
% 72.77/45.96 tff(13001,plain,
% 72.77/45.96 (~v130(constB75, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13000, 12992, 12988, 12984, 12980, 12976])).
% 72.77/45.96 tff(13002,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13003,plain,
% 72.77/45.96 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13004,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13003])).
% 72.77/45.96 tff(13005,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13004, 13002])).
% 72.77/45.96 tff(13006,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13007,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 72.77/45.96 tff(13008,plain,
% 72.77/45.96 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13007, 1271, 12917])).
% 72.77/45.96 tff(13009,plain,
% 72.77/45.96 (~v127(constB75, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13008, 13001])).
% 72.77/45.96 tff(13010,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13011,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13012,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 72.77/45.96 tff(13013,plain,
% 72.77/45.96 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13012, 1289, 12932])).
% 72.77/45.96 tff(13014,plain,
% 72.77/45.96 (~v129(constB76, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13013, 13009])).
% 72.77/45.96 tff(13015,plain,
% 72.77/45.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13016,plain,
% 72.77/45.96 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13017,plain,
% 72.77/45.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13016])).
% 72.77/45.96 tff(13018,plain,
% 72.77/45.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13017, 13015])).
% 72.77/45.96 tff(13019,plain,
% 72.77/45.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13020,plain,
% 72.77/45.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 72.77/45.96 tff(13021,plain,
% 72.77/45.96 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13020, 1304, 13014])).
% 72.77/45.96 tff(13022,plain,
% 72.77/45.96 (~v90(constB76, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13021, 12972])).
% 72.77/45.96 tff(13023,plain,
% 72.77/45.96 ((~v1(constB77)) <=> (~v1(constB77))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13024,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 72.77/45.96 tff(13025,plain,
% 72.77/45.96 (~v1(constB77)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 72.77/45.96 tff(13026,plain,
% 72.77/45.96 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13027,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 72.77/45.96 tff(13028,plain,
% 72.77/45.96 (nextState(constB76, constB77)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13027, 13026])).
% 72.77/45.96 tff(13029,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13030,plain,
% 72.77/45.96 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13031,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13030])).
% 72.77/45.96 tff(13032,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13031, 13029])).
% 72.77/45.96 tff(13033,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13034,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 72.77/45.96 tff(13035,plain,
% 72.77/45.96 (~v101(constB77)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13034, 288, 13028, 13025])).
% 72.77/45.96 tff(13036,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13037,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13038,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 72.77/45.96 tff(13039,plain,
% 72.77/45.96 (v101(constB77) | (~v100(constB77))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13038, 305, 13028])).
% 72.77/45.96 tff(13040,plain,
% 72.77/45.96 (~v100(constB77)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13039, 13035])).
% 72.77/45.96 tff(13041,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13042,plain,
% 72.77/45.96 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13043,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13042])).
% 72.77/45.96 tff(13044,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13043, 13041])).
% 72.77/45.96 tff(13045,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13046,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 72.77/45.96 tff(13047,plain,
% 72.77/45.96 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13046, 320, 13028])).
% 72.77/45.96 tff(13048,plain,
% 72.77/45.96 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13047, 13040])).
% 72.77/45.96 tff(13049,plain,
% 72.77/45.96 (~v90(constB77, bitIndex2)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13048, 13022])).
% 72.77/45.96 tff(13050,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13051,plain,
% 72.77/45.96 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0)) <=> (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13052,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0)))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13051])).
% 72.77/45.96 tff(13053,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13052, 13050])).
% 72.77/45.96 tff(13054,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13055,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 72.77/45.96 tff(13056,plain,
% 72.77/45.96 (v124(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | v130(constB75, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13055, 1396, 12993])).
% 72.77/45.96 tff(13057,plain,
% 72.77/45.96 (v130(constB75, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13056, 12992, 12988, 12984, 12980, 12976])).
% 72.77/45.96 tff(13058,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13059,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13060,plain,
% 72.77/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 72.77/45.96 tff(13061,plain,
% 72.77/45.96 ((~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13060, 1413, 12917])).
% 72.77/45.96 tff(13062,plain,
% 72.77/45.96 (v127(constB75, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13061, 13057])).
% 72.77/45.96 tff(13063,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13064,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13065,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 72.77/45.96 tff(13066,plain,
% 72.77/45.96 ((~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13065, 1428, 12932])).
% 72.77/45.96 tff(13067,plain,
% 72.77/45.96 (v129(constB76, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13066, 13062])).
% 72.77/45.96 tff(13068,plain,
% 72.77/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13069,plain,
% 72.77/45.96 ((v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13070,plain,
% 72.77/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13069])).
% 72.77/45.96 tff(13071,plain,
% 72.77/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13070, 13068])).
% 72.77/45.96 tff(13072,plain,
% 72.77/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13073,plain,
% 72.77/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 72.77/45.96 tff(13074,plain,
% 72.77/45.96 (v90(constB76, bitIndex0) | (~v100(constB76))),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13073, 1443, 13067])).
% 72.77/45.96 tff(13075,plain,
% 72.77/45.96 (v90(constB76, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13074, 12972])).
% 72.77/45.96 tff(13076,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13077,plain,
% 72.77/45.96 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13078,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13077])).
% 72.77/45.96 tff(13079,plain,
% 72.77/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 72.77/45.96 inference(transitivity,[status(thm)],[13078, 13076])).
% 72.77/45.96 tff(13080,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))),
% 72.77/45.96 inference(quant_inst,[status(thm)],[])).
% 72.77/45.96 tff(13081,plain,
% 72.77/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)),
% 72.77/45.96 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 72.77/45.96 tff(13082,plain,
% 72.77/45.96 ((~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13081, 1461, 13028])).
% 72.77/45.96 tff(13083,plain,
% 72.77/45.96 ((~v90(constB76, bitIndex0)) | v90(constB77, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13082, 13040])).
% 72.77/45.96 tff(13084,plain,
% 72.77/45.96 (v90(constB77, bitIndex0)),
% 72.77/45.96 inference(unit_resolution,[status(thm)],[13083, 13075])).
% 72.77/45.96 tff(13085,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13086,plain,
% 72.77/45.96 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1))) <=> (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1)))),
% 72.77/45.96 inference(rewrite,[status(thm)],[])).
% 72.77/45.96 tff(13087,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1))))),
% 72.77/45.96 inference(monotonicity,[status(thm)],[13086])).
% 72.77/45.96 tff(13088,plain,
% 72.77/45.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13087, 13085])).
% 72.77/45.97 tff(13089,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13090,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 72.77/45.97 tff(13091,plain,
% 72.77/45.97 (v124(constB75) | v120(constB75) | v119(constB75) | v122(constB75) | v121(constB75) | (~v130(constB75, bitIndex1))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13090, 1349, 12993])).
% 72.77/45.97 tff(13092,plain,
% 72.77/45.97 (~v130(constB75, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13091, 12992, 12988, 12984, 12980, 12976])).
% 72.77/45.97 tff(13093,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13094,plain,
% 72.77/45.97 ((v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1))) <=> ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13095,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13094])).
% 72.77/45.97 tff(13096,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13095, 13093])).
% 72.77/45.97 tff(13097,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13098,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13097, 13096])).
% 72.77/45.97 tff(13099,plain,
% 72.77/45.97 ((~v127(constB75, bitIndex1)) | v130(constB75, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13098, 695, 12917])).
% 72.77/45.97 tff(13100,plain,
% 72.77/45.97 (~v127(constB75, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13099, 13092])).
% 72.77/45.97 tff(13101,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13102,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13103,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 72.77/45.97 tff(13104,plain,
% 72.77/45.97 (v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13103, 713, 12932])).
% 72.77/45.97 tff(13105,plain,
% 72.77/45.97 (~v129(constB76, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13104, 13100])).
% 72.77/45.97 tff(13106,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13107,plain,
% 72.77/45.97 (((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13108,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13107])).
% 72.77/45.97 tff(13109,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13108, 13106])).
% 72.77/45.97 tff(13110,plain,
% 72.77/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13111,plain,
% 72.77/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 72.77/45.97 tff(13112,plain,
% 72.77/45.97 ((~v90(constB76, bitIndex1)) | (~v100(constB76))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13111, 728, 13105])).
% 72.77/45.97 tff(13113,plain,
% 72.77/45.97 (~v90(constB76, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13112, 12972])).
% 72.77/45.97 tff(13114,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13115,plain,
% 72.77/45.97 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13116,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13115])).
% 72.77/45.97 tff(13117,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13116, 13114])).
% 72.77/45.97 tff(13118,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13119,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 72.77/45.97 tff(13120,plain,
% 72.77/45.97 (v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13119, 341, 13028])).
% 72.77/45.97 tff(13121,plain,
% 72.77/45.97 (v90(constB76, bitIndex1) | (~v90(constB77, bitIndex1))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13120, 13040])).
% 72.77/45.97 tff(13122,plain,
% 72.77/45.97 (~v90(constB77, bitIndex1)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13121, 13113])).
% 72.77/45.97 tff(13123,assumption,(~v120(constB77)), introduced(assumption)).
% 72.77/45.97 tff(13124,plain,
% 72.77/45.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13125,plain,
% 72.77/45.97 (((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)) <=> ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13126,plain,
% 72.77/45.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13125])).
% 72.77/45.97 tff(13127,plain,
% 72.77/45.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13126, 13124])).
% 72.77/45.97 tff(13128,plain,
% 72.77/45.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13129,plain,
% 72.77/45.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 72.77/45.97 tff(13130,plain,
% 72.77/45.97 ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13129, 1480, 13123])).
% 72.77/45.97 tff(13131,plain,
% 72.77/45.97 ($false),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13130, 13122, 13084, 13049])).
% 72.77/45.97 tff(13132,plain,((~v123(constB73)) | v120(constB77) | v123(constB75)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.97 tff(13133,plain,
% 72.77/45.97 (v120(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13132, 12826, 12711])).
% 72.77/45.97 tff(13134,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB77) | (~v120(constB77)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB77) | (~v120(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13135,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB77) | (~v120(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13136,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB77) | (~v120(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13135, 13134])).
% 72.77/45.97 tff(13137,plain,
% 72.77/45.97 (v118(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13136, 1494, 13133])).
% 72.77/45.97 tff(13138,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB77) | (~v118(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13139,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB77) | (~v118(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13140,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB77) | (~v118(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13139, 13138])).
% 72.77/45.97 tff(13141,plain,
% 72.77/45.97 (v117(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13140, 405, 13137])).
% 72.77/45.97 tff(13142,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13143,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13144,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13143, 13142])).
% 72.77/45.97 tff(13145,plain,
% 72.77/45.97 (v116(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13144, 416, 13141])).
% 72.77/45.97 tff(13146,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13147,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13148,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13147, 13146])).
% 72.77/45.97 tff(13149,plain,
% 72.77/45.97 (v115(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13148, 427, 13145])).
% 72.77/45.97 tff(13150,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13151,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13152,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13151, 13150])).
% 72.77/45.97 tff(13153,plain,
% 72.77/45.97 (v114(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13152, 438, 13149])).
% 72.77/45.97 tff(13154,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13155,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13156,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 72.77/45.97 tff(13157,plain,
% 72.77/45.97 (v113(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13156, 449, 13153])).
% 72.77/45.97 tff(13158,assumption,(v26(constB77)), introduced(assumption)).
% 72.77/45.97 tff(13159,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13160,plain,
% 72.77/45.97 ($false),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13159, 26, 13158])).
% 72.77/45.97 tff(13161,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.97 tff(13162,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13163,plain,
% 72.77/45.97 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13164,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13163])).
% 72.77/45.97 tff(13165,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13164, 13162])).
% 72.77/45.97 tff(13166,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13167,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 72.77/45.97 tff(13168,plain,
% 72.77/45.97 (v112(constB77) | (~v113(constB77))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13167, 463, 13161])).
% 72.77/45.97 tff(13169,plain,
% 72.77/45.97 (v112(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13168, 13157])).
% 72.77/45.97 tff(13170,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13171,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13172,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 72.77/45.97 tff(13173,plain,
% 72.77/45.97 (v108(constB77)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13172, 475, 13169])).
% 72.77/45.97 tff(13174,plain,
% 72.77/45.97 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13175,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 72.77/45.97 tff(13176,plain,
% 72.77/45.97 (nextState(constB77, constB78)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 72.77/45.97 tff(13177,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13178,plain,
% 72.77/45.97 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13179,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13178])).
% 72.77/45.97 tff(13180,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13179, 13177])).
% 72.77/45.97 tff(13181,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13182,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 72.77/45.97 tff(13183,plain,
% 72.77/45.97 (v110(constB78) | (~v108(constB77))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13182, 492, 13176])).
% 72.77/45.97 tff(13184,plain,
% 72.77/45.97 (v110(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13183, 13173])).
% 72.77/45.97 tff(13185,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13186,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13187,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 72.77/45.97 tff(13188,plain,
% 72.77/45.97 (~v104(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13187, 510, 13176, 13025])).
% 72.77/45.97 tff(13189,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13190,plain,
% 72.77/45.97 (((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13191,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13190])).
% 72.77/45.97 tff(13192,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13191, 13189])).
% 72.77/45.97 tff(13193,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13194,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 72.77/45.97 tff(13195,plain,
% 72.77/45.97 (v104(constB78) | v102(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13194, 524, 13176])).
% 72.77/45.97 tff(13196,plain,
% 72.77/45.97 (v102(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13195, 13188])).
% 72.77/45.97 tff(13197,plain,
% 72.77/45.97 (v1(constB78) <=> v1(constB78)),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13198,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 72.77/45.97 tff(13199,plain,
% 72.77/45.97 (v1(constB78)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 72.77/45.97 tff(13200,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13201,plain,
% 72.77/45.97 (((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))) <=> ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13202,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13201])).
% 72.77/45.97 tff(13203,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13202, 13200])).
% 72.77/45.97 tff(13204,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13205,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13204, 13203])).
% 72.77/45.97 tff(13206,plain,
% 72.77/45.97 (v101(constB78) | (~v102(constB78))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13205, 545, 13176, 13199])).
% 72.77/45.97 tff(13207,plain,
% 72.77/45.97 (v101(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13206, 13196])).
% 72.77/45.97 tff(13208,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13209,plain,
% 72.77/45.97 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13210,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13209])).
% 72.77/45.97 tff(13211,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13210, 13208])).
% 72.77/45.97 tff(13212,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13213,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 72.77/45.97 tff(13214,plain,
% 72.77/45.97 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13213, 563, 13176])).
% 72.77/45.97 tff(13215,plain,
% 72.77/45.97 (v100(constB78) | (~v110(constB78))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13214, 13207])).
% 72.77/45.97 tff(13216,plain,
% 72.77/45.97 (v100(constB78)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13215, 13184])).
% 72.77/45.97 tff(13217,plain,
% 72.77/45.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13218,plain,
% 72.77/45.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13219,plain,
% 72.77/45.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13218, 13217])).
% 72.77/45.97 tff(13220,plain,
% 72.77/45.97 (~v130(constB77, bitIndex0)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13219, 1690, 13133])).
% 72.77/45.97 tff(13221,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13222,plain,
% 72.77/45.97 ((v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0))) <=> ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13223,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13222])).
% 72.77/45.97 tff(13224,plain,
% 72.77/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13223, 13221])).
% 72.77/45.97 tff(13225,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13226,plain,
% 72.77/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 72.77/45.97 tff(13227,plain,
% 72.77/45.97 ((~v127(constB77, bitIndex0)) | v130(constB77, bitIndex0)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13226, 769, 13161])).
% 72.77/45.97 tff(13228,plain,
% 72.77/45.97 (~v127(constB77, bitIndex0)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13227, 13220])).
% 72.77/45.97 tff(13229,plain,
% 72.77/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13230,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13231,plain,
% 72.77/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 72.77/45.97 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 72.77/45.97 tff(13232,plain,
% 72.77/45.97 (v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13231, 787, 13176])).
% 72.77/45.97 tff(13233,plain,
% 72.77/45.97 (~v129(constB78, bitIndex0)),
% 72.77/45.97 inference(unit_resolution,[status(thm)],[13232, 13228])).
% 72.77/45.97 tff(13234,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13235,plain,
% 72.77/45.97 (((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 72.77/45.97 inference(rewrite,[status(thm)],[])).
% 72.77/45.97 tff(13236,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))))),
% 72.77/45.97 inference(monotonicity,[status(thm)],[13235])).
% 72.77/45.97 tff(13237,plain,
% 72.77/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 72.77/45.97 inference(transitivity,[status(thm)],[13236, 13234])).
% 72.77/45.97 tff(13238,plain,
% 72.77/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))),
% 72.77/45.97 inference(quant_inst,[status(thm)],[])).
% 72.77/45.97 tff(13239,plain,
% 72.77/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 72.77/45.98 tff(13240,plain,
% 72.77/45.98 ((~v90(constB78, bitIndex0)) | (~v100(constB78))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13239, 802, 13233])).
% 72.77/45.98 tff(13241,plain,
% 72.77/45.98 (~v90(constB78, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13240, 13216])).
% 72.77/45.98 tff(13242,plain,
% 72.77/45.98 ((~v1(constB79)) <=> (~v1(constB79))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13243,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 72.77/45.98 tff(13244,plain,
% 72.77/45.98 (~v1(constB79)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 72.77/45.98 tff(13245,plain,
% 72.77/45.98 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13246,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 72.77/45.98 tff(13247,plain,
% 72.77/45.98 (nextState(constB78, constB79)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13246, 13245])).
% 72.77/45.98 tff(13248,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13249,plain,
% 72.77/45.98 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13250,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13249])).
% 72.77/45.98 tff(13251,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13250, 13248])).
% 72.77/45.98 tff(13252,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13253,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 72.77/45.98 tff(13254,plain,
% 72.77/45.98 (~v101(constB79)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13253, 288, 13247, 13244])).
% 72.77/45.98 tff(13255,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13256,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13257,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 72.77/45.98 tff(13258,plain,
% 72.77/45.98 (v101(constB79) | (~v100(constB79))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13257, 305, 13247])).
% 72.77/45.98 tff(13259,plain,
% 72.77/45.98 (~v100(constB79)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13258, 13254])).
% 72.77/45.98 tff(13260,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13261,plain,
% 72.77/45.98 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13262,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13261])).
% 72.77/45.98 tff(13263,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13262, 13260])).
% 72.77/45.98 tff(13264,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13265,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 72.77/45.98 tff(13266,plain,
% 72.77/45.98 (v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13265, 362, 13247])).
% 72.77/45.98 tff(13267,plain,
% 72.77/45.98 (v90(constB78, bitIndex0) | (~v90(constB79, bitIndex0))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13266, 13259])).
% 72.77/45.98 tff(13268,plain,
% 72.77/45.98 (~v90(constB79, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13267, 13241])).
% 72.77/45.98 tff(13269,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB79, bitIndex0) | (~v122(constB79)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB79, bitIndex0) | (~v122(constB79)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13270,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB79, bitIndex0) | (~v122(constB79)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13271,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB79, bitIndex0) | (~v122(constB79))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 72.77/45.98 tff(13272,plain,
% 72.77/45.98 (~v122(constB79)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13271, 3752, 13268])).
% 72.77/45.98 tff(13273,assumption,(~v122(constB81)), introduced(assumption)).
% 72.77/45.98 tff(13274,assumption,(v120(constB77)), introduced(assumption)).
% 72.77/45.98 tff(13275,plain,
% 72.77/45.98 (v118(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13136, 1494, 13274])).
% 72.77/45.98 tff(13276,plain,
% 72.77/45.98 (v117(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13140, 405, 13275])).
% 72.77/45.98 tff(13277,plain,
% 72.77/45.98 (v116(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13144, 416, 13276])).
% 72.77/45.98 tff(13278,plain,
% 72.77/45.98 (v115(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13148, 427, 13277])).
% 72.77/45.98 tff(13279,plain,
% 72.77/45.98 (v114(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13152, 438, 13278])).
% 72.77/45.98 tff(13280,plain,
% 72.77/45.98 (v113(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13156, 449, 13279])).
% 72.77/45.98 tff(13281,plain,
% 72.77/45.98 (v112(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13168, 13280])).
% 72.77/45.98 tff(13282,plain,
% 72.77/45.98 (v108(constB77)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13172, 475, 13281])).
% 72.77/45.98 tff(13283,plain,
% 72.77/45.98 (v110(constB78)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13183, 13282])).
% 72.77/45.98 tff(13284,plain,
% 72.77/45.98 (v100(constB78)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13215, 13283])).
% 72.77/45.98 tff(13285,plain,
% 72.77/45.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13286,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13287,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13286, 13285])).
% 72.77/45.98 tff(13288,plain,
% 72.77/45.98 (~v130(constB77, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13287, 1587, 13274])).
% 72.77/45.98 tff(13289,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13290,plain,
% 72.77/45.98 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13291,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13290])).
% 72.77/45.98 tff(13292,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13291, 13289])).
% 72.77/45.98 tff(13293,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13294,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 72.77/45.98 tff(13295,plain,
% 72.77/45.98 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13294, 1271, 13161])).
% 72.77/45.98 tff(13296,plain,
% 72.77/45.98 (~v127(constB77, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13295, 13288])).
% 72.77/45.98 tff(13297,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13298,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13299,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 72.77/45.98 tff(13300,plain,
% 72.77/45.98 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13299, 1289, 13176])).
% 72.77/45.98 tff(13301,plain,
% 72.77/45.98 (~v129(constB78, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13300, 13296])).
% 72.77/45.98 tff(13302,plain,
% 72.77/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13303,plain,
% 72.77/45.98 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13304,plain,
% 72.77/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13303])).
% 72.77/45.98 tff(13305,plain,
% 72.77/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13304, 13302])).
% 72.77/45.98 tff(13306,plain,
% 72.77/45.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13307,plain,
% 72.77/45.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13306, 13305])).
% 72.77/45.98 tff(13308,plain,
% 72.77/45.98 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13307, 1304, 13301])).
% 72.77/45.98 tff(13309,plain,
% 72.77/45.98 (~v90(constB78, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13308, 13284])).
% 72.77/45.98 tff(13310,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13311,plain,
% 72.77/45.98 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13312,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13311])).
% 72.77/45.98 tff(13313,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13312, 13310])).
% 72.77/45.98 tff(13314,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13315,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13314, 13313])).
% 72.77/45.98 tff(13316,plain,
% 72.77/45.98 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13315, 320, 13247])).
% 72.77/45.98 tff(13317,plain,
% 72.77/45.98 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13316, 13259])).
% 72.77/45.98 tff(13318,plain,
% 72.77/45.98 (~v90(constB79, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13317, 13309])).
% 72.77/45.98 tff(13319,plain,
% 72.77/45.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13320,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13321,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 72.77/45.98 tff(13322,plain,
% 72.77/45.98 (v130(constB77, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13321, 1649, 13274])).
% 72.77/45.98 tff(13323,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13324,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13325,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13324, 13323])).
% 72.77/45.98 tff(13326,plain,
% 72.77/45.98 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13325, 990, 13161])).
% 72.77/45.98 tff(13327,plain,
% 72.77/45.98 (v127(constB77, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13326, 13322])).
% 72.77/45.98 tff(13328,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13329,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13330,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 72.77/45.98 tff(13331,plain,
% 72.77/45.98 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13330, 1005, 13176])).
% 72.77/45.98 tff(13332,plain,
% 72.77/45.98 (v129(constB78, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13331, 13327])).
% 72.77/45.98 tff(13333,plain,
% 72.77/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13334,plain,
% 72.77/45.98 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13335,plain,
% 72.77/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13334])).
% 72.77/45.98 tff(13336,plain,
% 72.77/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13335, 13333])).
% 72.77/45.98 tff(13337,plain,
% 72.77/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13338,plain,
% 72.77/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13337, 13336])).
% 72.77/45.98 tff(13339,plain,
% 72.77/45.98 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13338, 1020, 13332])).
% 72.77/45.98 tff(13340,plain,
% 72.77/45.98 (v90(constB78, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13339, 13284])).
% 72.77/45.98 tff(13341,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13342,plain,
% 72.77/45.98 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13343,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13342])).
% 72.77/45.98 tff(13344,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13343, 13341])).
% 72.77/45.98 tff(13345,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13346,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13345, 13344])).
% 72.77/45.98 tff(13347,plain,
% 72.77/45.98 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13346, 1038, 13247])).
% 72.77/45.98 tff(13348,plain,
% 72.77/45.98 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13347, 13259])).
% 72.77/45.98 tff(13349,plain,
% 72.77/45.98 (v90(constB79, bitIndex1)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13348, 13340])).
% 72.77/45.98 tff(13350,plain,
% 72.77/45.98 (~v130(constB77, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13219, 1690, 13274])).
% 72.77/45.98 tff(13351,plain,
% 72.77/45.98 (~v127(constB77, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13227, 13350])).
% 72.77/45.98 tff(13352,plain,
% 72.77/45.98 (~v129(constB78, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13232, 13351])).
% 72.77/45.98 tff(13353,plain,
% 72.77/45.98 ((~v90(constB78, bitIndex0)) | (~v100(constB78))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13239, 802, 13352])).
% 72.77/45.98 tff(13354,plain,
% 72.77/45.98 (~v90(constB78, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13353, 13284])).
% 72.77/45.98 tff(13355,plain,
% 72.77/45.98 (~v90(constB79, bitIndex0)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13267, 13354])).
% 72.77/45.98 tff(13356,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13357,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13358,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 72.77/45.98 tff(13359,plain,
% 72.77/45.98 (v121(constB79)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13358, 1734, 13355, 13349, 13318])).
% 72.77/45.98 tff(13360,plain,
% 72.77/45.98 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13361,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13362,plain,
% 72.77/45.98 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 72.77/45.98 tff(13363,plain,
% 72.77/45.98 (~v130(constB79, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13362, 1748, 13359])).
% 72.77/45.98 tff(13364,assumption,(v26(constB79)), introduced(assumption)).
% 72.77/45.98 tff(13365,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13366,plain,
% 72.77/45.98 ($false),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13365, 26, 13364])).
% 72.77/45.98 tff(13367,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.98 tff(13368,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13369,plain,
% 72.77/45.98 ((v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2))) <=> ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13370,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)))),
% 72.77/45.98 inference(monotonicity,[status(thm)],[13369])).
% 72.77/45.98 tff(13371,plain,
% 72.77/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 72.77/45.98 inference(transitivity,[status(thm)],[13370, 13368])).
% 72.77/45.98 tff(13372,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13373,plain,
% 72.77/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13372, 13371])).
% 72.77/45.98 tff(13374,plain,
% 72.77/45.98 ((~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13373, 1271, 13367])).
% 72.77/45.98 tff(13375,plain,
% 72.77/45.98 (~v127(constB79, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13374, 13363])).
% 72.77/45.98 tff(13376,plain,
% 72.77/45.98 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13377,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 72.77/45.98 tff(13378,plain,
% 72.77/45.98 (nextState(constB79, constB80)),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 72.77/45.98 tff(13379,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13380,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13381,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 72.77/45.98 inference(modus_ponens,[status(thm)],[13380, 13379])).
% 72.77/45.98 tff(13382,plain,
% 72.77/45.98 (v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13381, 1289, 13378])).
% 72.77/45.98 tff(13383,plain,
% 72.77/45.98 (~v129(constB80, bitIndex2)),
% 72.77/45.98 inference(unit_resolution,[status(thm)],[13382, 13375])).
% 72.77/45.98 tff(13384,assumption,(~v122(constB79)), introduced(assumption)).
% 72.77/45.98 tff(13385,assumption,(~v90(constB79, bitIndex2)), introduced(assumption)).
% 72.77/45.98 tff(13386,assumption,(~v100(constB80)), introduced(assumption)).
% 72.77/45.98 tff(13387,plain,
% 72.77/45.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 72.77/45.98 inference(rewrite,[status(thm)],[])).
% 72.77/45.98 tff(13388,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 72.77/45.98 inference(quant_inst,[status(thm)],[])).
% 72.77/45.98 tff(13389,plain,
% 72.77/45.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 72.77/45.99 tff(13390,plain,
% 72.77/45.99 (~v104(constB80)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13389, 510, 13378, 13244])).
% 72.77/45.99 tff(13391,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13392,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13393,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13392])).
% 72.77/45.99 tff(13394,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 72.77/45.99 inference(transitivity,[status(thm)],[13393, 13391])).
% 72.77/45.99 tff(13395,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13396,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 72.77/45.99 tff(13397,plain,
% 72.77/45.99 (v104(constB80) | v102(constB80)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13396, 524, 13378])).
% 72.77/45.99 tff(13398,plain,
% 72.77/45.99 (v102(constB80)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13397, 13390])).
% 72.77/45.99 tff(13399,plain,
% 72.77/45.99 (v1(constB80) <=> v1(constB80)),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13400,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 72.77/45.99 tff(13401,plain,
% 72.77/45.99 (v1(constB80)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 72.77/45.99 tff(13402,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13403,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))) <=> ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13404,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13403])).
% 72.77/45.99 tff(13405,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 72.77/45.99 inference(transitivity,[status(thm)],[13404, 13402])).
% 72.77/45.99 tff(13406,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13407,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13406, 13405])).
% 72.77/45.99 tff(13408,plain,
% 72.77/45.99 (v101(constB80) | (~v102(constB80))),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13407, 545, 13378, 13401])).
% 72.77/45.99 tff(13409,plain,
% 72.77/45.99 (v101(constB80)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13408, 13398])).
% 72.77/45.99 tff(13410,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13411,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13412,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13411])).
% 72.77/45.99 tff(13413,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.77/45.99 inference(transitivity,[status(thm)],[13412, 13410])).
% 72.77/45.99 tff(13414,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13415,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 72.77/45.99 tff(13416,plain,
% 72.77/45.99 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13415, 563, 13378])).
% 72.77/45.99 tff(13417,plain,
% 72.77/45.99 (v100(constB80) | (~v110(constB80))),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13416, 13409])).
% 72.77/45.99 tff(13418,plain,
% 72.77/45.99 (~v110(constB80)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13417, 13386])).
% 72.77/45.99 tff(13419,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13420,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13421,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13420])).
% 72.77/45.99 tff(13422,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.77/45.99 inference(transitivity,[status(thm)],[13421, 13419])).
% 72.77/45.99 tff(13423,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13424,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 72.77/45.99 tff(13425,plain,
% 72.77/45.99 (v110(constB80) | (~v108(constB79))),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13424, 492, 13378])).
% 72.77/45.99 tff(13426,plain,
% 72.77/45.99 (~v108(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13425, 13418])).
% 72.77/45.99 tff(13427,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13428,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13429,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 72.77/45.99 tff(13430,plain,
% 72.77/45.99 (~v112(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13429, 475, 13426])).
% 72.77/45.99 tff(13431,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB79) | (~v26(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB79) | (~v26(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13432,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB79) | (~v26(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13433,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB79) | (~v26(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 72.77/45.99 tff(13434,plain,
% 72.77/45.99 (~v26(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13433, 1807, 13426])).
% 72.77/45.99 tff(13435,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13436,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13437,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13436, 13435])).
% 72.77/45.99 tff(13438,plain,
% 72.77/45.99 (~v113(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13437, 463, 13434, 13430])).
% 72.77/45.99 tff(13439,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13440,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13441,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 72.77/45.99 tff(13442,plain,
% 72.77/45.99 (~v114(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13441, 449, 13438])).
% 72.77/45.99 tff(13443,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13444,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13445,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 72.77/45.99 tff(13446,plain,
% 72.77/45.99 (~v115(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13445, 438, 13442])).
% 72.77/45.99 tff(13447,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13448,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13449,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 72.77/45.99 tff(13450,plain,
% 72.77/45.99 (~v116(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13449, 427, 13446])).
% 72.77/45.99 tff(13451,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB79) | (~v117(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB79) | (~v117(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13452,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB79) | (~v117(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13453,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB79) | (~v117(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 72.77/45.99 tff(13454,plain,
% 72.77/45.99 (~v117(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13453, 416, 13450])).
% 72.77/45.99 tff(13455,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB79) | (~v121(constB79)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB79) | (~v121(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13456,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB79) | (~v121(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13457,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB79) | (~v121(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 72.77/45.99 tff(13458,plain,
% 72.77/45.99 (~v121(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13457, 1775, 13454])).
% 72.77/45.99 tff(13459,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB79) | (~v123(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB79) | (~v123(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13460,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB79) | (~v123(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13461,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB79) | (~v123(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13460, 13459])).
% 72.77/45.99 tff(13462,plain,
% 72.77/45.99 (~v123(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13461, 840, 13446])).
% 72.77/45.99 tff(13463,assumption,(~v90(constB80, bitIndex0)), introduced(assumption)).
% 72.77/45.99 tff(13464,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13465,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | (~v90(constB79, bitIndex0)) | v100(constB80) | v90(constB80, bitIndex0)) <=> ((~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13466,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v90(constB79, bitIndex0)) | v100(constB80) | v90(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0)))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13465])).
% 72.77/45.99 tff(13467,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v90(constB79, bitIndex0)) | v100(constB80) | v90(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0))),
% 72.77/45.99 inference(transitivity,[status(thm)],[13466, 13464])).
% 72.77/45.99 tff(13468,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v90(constB79, bitIndex0)) | v100(constB80) | v90(constB80, bitIndex0))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13469,plain,
% 72.77/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v100(constB80) | v90(constB80, bitIndex0)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13468, 13467])).
% 72.77/45.99 tff(13470,plain,
% 72.77/45.99 ((~v90(constB79, bitIndex0)) | v100(constB80) | v90(constB80, bitIndex0)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13469, 1461, 13378])).
% 72.77/45.99 tff(13471,plain,
% 72.77/45.99 (~v90(constB79, bitIndex0)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13470, 13386, 13463])).
% 72.77/45.99 tff(13472,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB79) | (~v118(constB79)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB79) | (~v118(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13473,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB79) | (~v118(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13474,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB79) | (~v118(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13473, 13472])).
% 72.77/45.99 tff(13475,plain,
% 72.77/45.99 (~v118(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13474, 405, 13454])).
% 72.77/45.99 tff(13476,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB79) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB79) | (~v119(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13477,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB79) | (~v119(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13478,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB79) | (~v119(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 72.77/45.99 tff(13479,plain,
% 72.77/45.99 (~v119(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13478, 394, 13475])).
% 72.77/45.99 tff(13480,assumption,(~v119(constB79)), introduced(assumption)).
% 72.77/45.99 tff(13481,assumption,(~v90(constB79, bitIndex1)), introduced(assumption)).
% 72.77/45.99 tff(13482,assumption,(~v123(constB79)), introduced(assumption)).
% 72.77/45.99 tff(13483,assumption,(~v90(constB79, bitIndex0)), introduced(assumption)).
% 72.77/45.99 tff(13484,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | (~v90(constB79, bitIndex2)) | v123(constB79))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | (~v90(constB79, bitIndex2)) | v123(constB79))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13485,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | (~v90(constB79, bitIndex2)) | v123(constB79))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13486,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | (~v90(constB79, bitIndex2)) | v123(constB79)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13485, 13484])).
% 72.77/45.99 tff(13487,plain,
% 72.77/45.99 (v90(constB79, bitIndex1) | (~v90(constB79, bitIndex2)) | v123(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13486, 829, 13483])).
% 72.77/45.99 tff(13488,plain,
% 72.77/45.99 (~v90(constB79, bitIndex2)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13487, 13481, 13482])).
% 72.77/45.99 tff(13489,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB79) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB79) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13490,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB79) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13491,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB79) | v90(constB79, bitIndex0) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 72.77/45.99 tff(13492,plain,
% 72.77/45.99 (v119(constB79) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13491, 383, 13483])).
% 72.77/45.99 tff(13493,plain,
% 72.77/45.99 ($false),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13492, 13488, 13481, 13480])).
% 72.77/45.99 tff(13494,plain,(v90(constB79, bitIndex1) | v119(constB79) | v90(constB79, bitIndex0) | v123(constB79)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.99 tff(13495,plain,
% 72.77/45.99 (v90(constB79, bitIndex1)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13494, 13479, 13471, 13462])).
% 72.77/45.99 tff(13496,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB79) | (~v125(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB79) | (~v125(constB79)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13497,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB79) | (~v125(constB79)))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13498,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB79) | (~v125(constB79))),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 72.77/45.99 tff(13499,plain,
% 72.77/45.99 (~v125(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13498, 1112, 13438])).
% 72.77/45.99 tff(13500,plain,
% 72.77/45.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex2)) | v125(constB79))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex2)) | v125(constB79))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13501,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex2)) | v125(constB79))),
% 72.77/45.99 inference(quant_inst,[status(thm)],[])).
% 72.77/45.99 tff(13502,plain,
% 72.77/45.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex2)) | v125(constB79)),
% 72.77/45.99 inference(modus_ponens,[status(thm)],[13501, 13500])).
% 72.77/45.99 tff(13503,plain,
% 72.77/45.99 ((~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex2)) | v125(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13502, 1101, 13471])).
% 72.77/45.99 tff(13504,plain,
% 72.77/45.99 (~v90(constB79, bitIndex2)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13503, 13495, 13499])).
% 72.77/45.99 tff(13505,plain,
% 72.77/45.99 ((~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13358, 1734, 13471])).
% 72.77/45.99 tff(13506,plain,
% 72.77/45.99 ($false),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13505, 13504, 13495, 13458])).
% 72.77/45.99 tff(13507,plain,(v100(constB80) | v90(constB80, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.77/45.99 tff(13508,plain,
% 72.77/45.99 (v90(constB80, bitIndex0)),
% 72.77/45.99 inference(unit_resolution,[status(thm)],[13507, 13386])).
% 72.77/45.99 tff(13509,assumption,(v90(constB80, bitIndex0)), introduced(assumption)).
% 72.77/45.99 tff(13510,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13511,plain,
% 72.77/45.99 (((~nextState(constB79, constB80)) | v90(constB79, bitIndex0) | v100(constB80) | (~v90(constB80, bitIndex0))) <=> (v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0)))),
% 72.77/45.99 inference(rewrite,[status(thm)],[])).
% 72.77/45.99 tff(13512,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v90(constB79, bitIndex0) | v100(constB80) | (~v90(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0))))),
% 72.77/45.99 inference(monotonicity,[status(thm)],[13511])).
% 72.77/45.99 tff(13513,plain,
% 72.77/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v90(constB79, bitIndex0) | v100(constB80) | (~v90(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0)))),
% 72.84/45.99 inference(transitivity,[status(thm)],[13512, 13510])).
% 72.84/45.99 tff(13514,plain,
% 72.84/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v90(constB79, bitIndex0) | v100(constB80) | (~v90(constB80, bitIndex0)))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13515,plain,
% 72.84/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v100(constB80) | (~v90(constB80, bitIndex0))),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 72.84/45.99 tff(13516,plain,
% 72.84/45.99 (v90(constB79, bitIndex0) | v100(constB80) | (~v90(constB80, bitIndex0))),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13515, 362, 13378])).
% 72.84/45.99 tff(13517,plain,
% 72.84/45.99 (v90(constB79, bitIndex0)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13516, 13386, 13509])).
% 72.84/45.99 tff(13518,plain,
% 72.84/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13519,plain,
% 72.84/45.99 (((~v90(constB79, bitIndex0)) | v120(constB79) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2)) <=> ((~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13520,plain,
% 72.84/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB79, bitIndex0)) | v120(constB79) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79)))),
% 72.84/45.99 inference(monotonicity,[status(thm)],[13519])).
% 72.84/45.99 tff(13521,plain,
% 72.84/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB79, bitIndex0)) | v120(constB79) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79))),
% 72.84/45.99 inference(transitivity,[status(thm)],[13520, 13518])).
% 72.84/45.99 tff(13522,plain,
% 72.84/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB79, bitIndex0)) | v120(constB79) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13523,plain,
% 72.84/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB79, bitIndex0)) | v90(constB79, bitIndex1) | v90(constB79, bitIndex2) | v120(constB79)),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13522, 13521])).
% 72.84/45.99 tff(13524,plain,
% 72.84/45.99 ((~v90(constB79, bitIndex0)) | v90(constB79, bitIndex2) | v120(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13523, 1480, 13481])).
% 72.84/45.99 tff(13525,plain,
% 72.84/45.99 (v120(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13524, 13517, 13385])).
% 72.84/45.99 tff(13526,plain,
% 72.84/45.99 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB79) | (~v120(constB79)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB79) | (~v120(constB79)))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13527,plain,
% 72.84/45.99 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB79) | (~v120(constB79)))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13528,plain,
% 72.84/45.99 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB79) | (~v120(constB79))),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 72.84/45.99 tff(13529,plain,
% 72.84/45.99 (v118(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13528, 1494, 13525])).
% 72.84/45.99 tff(13530,plain,
% 72.84/45.99 (v117(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13474, 405, 13529])).
% 72.84/45.99 tff(13531,plain,
% 72.84/45.99 (v116(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13453, 416, 13530])).
% 72.84/45.99 tff(13532,plain,
% 72.84/45.99 (v115(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13449, 427, 13531])).
% 72.84/45.99 tff(13533,plain,
% 72.84/45.99 ($false),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13445, 438, 13442, 13532])).
% 72.84/45.99 tff(13534,plain,(v100(constB80) | v90(constB79, bitIndex2) | v90(constB79, bitIndex1) | (~v90(constB80, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.84/45.99 tff(13535,plain,
% 72.84/45.99 (v90(constB79, bitIndex1)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13534, 13385, 13508, 13386])).
% 72.84/45.99 tff(13536,plain,
% 72.84/45.99 (v90(constB79, bitIndex0)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13516, 13386, 13508])).
% 72.84/45.99 tff(13537,plain,
% 72.84/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13538,plain,
% 72.84/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13539,plain,
% 72.84/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13538, 13537])).
% 72.84/45.99 tff(13540,plain,
% 72.84/45.99 ((~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13539, 1986, 13536])).
% 72.84/45.99 tff(13541,plain,
% 72.84/45.99 ($false),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13540, 13535, 13385, 13384])).
% 72.84/45.99 tff(13542,plain,(v90(constB79, bitIndex2) | v122(constB79) | v100(constB80)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.99 tff(13543,plain,
% 72.84/45.99 (v100(constB80)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13542, 13318, 13384])).
% 72.84/45.99 tff(13544,plain,
% 72.84/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13545,plain,
% 72.84/45.99 (((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13546,plain,
% 72.84/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80))))),
% 72.84/45.99 inference(monotonicity,[status(thm)],[13545])).
% 72.84/45.99 tff(13547,plain,
% 72.84/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 72.84/45.99 inference(transitivity,[status(thm)],[13546, 13544])).
% 72.84/45.99 tff(13548,plain,
% 72.84/45.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13549,plain,
% 72.84/45.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80))),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 72.84/45.99 tff(13550,plain,
% 72.84/45.99 ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13549, 1304, 13543])).
% 72.84/45.99 tff(13551,plain,
% 72.84/45.99 (~v90(constB80, bitIndex2)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13550, 13383])).
% 72.84/45.99 tff(13552,plain,
% 72.84/45.99 ((~v1(constB81)) <=> (~v1(constB81))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13553,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 72.84/45.99 tff(13554,plain,
% 72.84/45.99 (~v1(constB81)),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 72.84/45.99 tff(13555,plain,
% 72.84/45.99 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13556,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 72.84/45.99 tff(13557,plain,
% 72.84/45.99 (nextState(constB80, constB81)),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 72.84/45.99 tff(13558,plain,
% 72.84/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13559,plain,
% 72.84/45.99 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.84/45.99 inference(rewrite,[status(thm)],[])).
% 72.84/45.99 tff(13560,plain,
% 72.84/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 72.84/45.99 inference(monotonicity,[status(thm)],[13559])).
% 72.84/45.99 tff(13561,plain,
% 72.84/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.84/45.99 inference(transitivity,[status(thm)],[13560, 13558])).
% 72.84/45.99 tff(13562,plain,
% 72.84/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 72.84/45.99 inference(quant_inst,[status(thm)],[])).
% 72.84/45.99 tff(13563,plain,
% 72.84/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 72.84/45.99 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 72.84/45.99 tff(13564,plain,
% 72.84/45.99 (~v101(constB81)),
% 72.84/45.99 inference(unit_resolution,[status(thm)],[13563, 288, 13557, 13554])).
% 72.84/46.00 tff(13565,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13566,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13567,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 72.84/46.00 tff(13568,plain,
% 72.84/46.00 (v101(constB81) | (~v100(constB81))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13567, 305, 13557])).
% 72.84/46.00 tff(13569,plain,
% 72.84/46.00 (~v100(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13568, 13564])).
% 72.84/46.00 tff(13570,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13571,plain,
% 72.84/46.00 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13572,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13571])).
% 72.84/46.00 tff(13573,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13572, 13570])).
% 72.84/46.00 tff(13574,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13575,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 72.84/46.00 tff(13576,plain,
% 72.84/46.00 (v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13575, 320, 13557])).
% 72.84/46.00 tff(13577,plain,
% 72.84/46.00 (v90(constB80, bitIndex2) | (~v90(constB81, bitIndex2))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13576, 13569])).
% 72.84/46.00 tff(13578,plain,
% 72.84/46.00 (~v90(constB81, bitIndex2)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13577, 13551])).
% 72.84/46.00 tff(13579,plain,
% 72.84/46.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13580,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13581,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13580, 13579])).
% 72.84/46.00 tff(13582,plain,
% 72.84/46.00 (v130(constB79, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13581, 1904, 13359])).
% 72.84/46.00 tff(13583,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13584,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13585,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13584, 13583])).
% 72.84/46.00 tff(13586,plain,
% 72.84/46.00 ((~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13585, 990, 13367])).
% 72.84/46.00 tff(13587,plain,
% 72.84/46.00 (v127(constB79, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13586, 13582])).
% 72.84/46.00 tff(13588,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13589,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13590,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 72.84/46.00 tff(13591,plain,
% 72.84/46.00 ((~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13590, 1005, 13378])).
% 72.84/46.00 tff(13592,plain,
% 72.84/46.00 (v129(constB80, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13591, 13587])).
% 72.84/46.00 tff(13593,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13594,plain,
% 72.84/46.00 ((v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13595,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13594])).
% 72.84/46.00 tff(13596,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13595, 13593])).
% 72.84/46.00 tff(13597,plain,
% 72.84/46.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13598,plain,
% 72.84/46.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13597, 13596])).
% 72.84/46.00 tff(13599,plain,
% 72.84/46.00 (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13598, 1020, 13543])).
% 72.84/46.00 tff(13600,plain,
% 72.84/46.00 (v90(constB80, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13599, 13592])).
% 72.84/46.00 tff(13601,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13602,plain,
% 72.84/46.00 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13603,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13602])).
% 72.84/46.00 tff(13604,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13603, 13601])).
% 72.84/46.00 tff(13605,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13606,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 72.84/46.00 tff(13607,plain,
% 72.84/46.00 ((~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13606, 1038, 13557])).
% 72.84/46.00 tff(13608,plain,
% 72.84/46.00 ((~v90(constB80, bitIndex1)) | v90(constB81, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13607, 13569])).
% 72.84/46.00 tff(13609,plain,
% 72.84/46.00 (v90(constB81, bitIndex1)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13608, 13600])).
% 72.84/46.00 tff(13610,plain,
% 72.84/46.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13611,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13612,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13611, 13610])).
% 72.84/46.00 tff(13613,plain,
% 72.84/46.00 (v130(constB79, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13612, 1945, 13359])).
% 72.84/46.00 tff(13614,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13615,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13616,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 72.84/46.00 tff(13617,plain,
% 72.84/46.00 ((~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13616, 1413, 13367])).
% 72.84/46.00 tff(13618,plain,
% 72.84/46.00 (v127(constB79, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13617, 13613])).
% 72.84/46.00 tff(13619,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13620,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13621,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13620, 13619])).
% 72.84/46.00 tff(13622,plain,
% 72.84/46.00 ((~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13621, 1428, 13378])).
% 72.84/46.00 tff(13623,plain,
% 72.84/46.00 (v129(constB80, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13622, 13618])).
% 72.84/46.00 tff(13624,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13625,plain,
% 72.84/46.00 ((v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13626,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13625])).
% 72.84/46.00 tff(13627,plain,
% 72.84/46.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13626, 13624])).
% 72.84/46.00 tff(13628,plain,
% 72.84/46.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13629,plain,
% 72.84/46.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 72.84/46.00 tff(13630,plain,
% 72.84/46.00 (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13629, 1443, 13543])).
% 72.84/46.00 tff(13631,plain,
% 72.84/46.00 (v90(constB80, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13630, 13623])).
% 72.84/46.00 tff(13632,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13633,plain,
% 72.84/46.00 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13634,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13633])).
% 72.84/46.00 tff(13635,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13634, 13632])).
% 72.84/46.00 tff(13636,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13637,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13636, 13635])).
% 72.84/46.00 tff(13638,plain,
% 72.84/46.00 ((~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13637, 1461, 13557])).
% 72.84/46.00 tff(13639,plain,
% 72.84/46.00 ((~v90(constB80, bitIndex0)) | v90(constB81, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13638, 13569])).
% 72.84/46.00 tff(13640,plain,
% 72.84/46.00 (v90(constB81, bitIndex0)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13639, 13631])).
% 72.84/46.00 tff(13641,plain,
% 72.84/46.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13642,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13643,plain,
% 72.84/46.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 72.84/46.00 tff(13644,plain,
% 72.84/46.00 ($false),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13643, 1986, 13640, 13609, 13578, 13273])).
% 72.84/46.00 tff(13645,plain,((~v120(constB77)) | v122(constB81) | v122(constB79)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.00 tff(13646,plain,
% 72.84/46.00 (v122(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13645, 13272, 13133])).
% 72.84/46.00 tff(13647,assumption,(v122(constB81)), introduced(assumption)).
% 72.84/46.00 tff(13648,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB81) | (~v122(constB81)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB81) | (~v122(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13649,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB81) | (~v122(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13650,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB81) | (~v122(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13649, 13648])).
% 72.84/46.00 tff(13651,plain,
% 72.84/46.00 (v116(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13650, 1997, 13647])).
% 72.84/46.00 tff(13652,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB81) | (~v116(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13653,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB81) | (~v116(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13654,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB81) | (~v116(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 72.84/46.00 tff(13655,plain,
% 72.84/46.00 (v115(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13654, 427, 13651])).
% 72.84/46.00 tff(13656,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13657,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13658,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 72.84/46.00 tff(13659,plain,
% 72.84/46.00 (v114(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13658, 438, 13655])).
% 72.84/46.00 tff(13660,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13661,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13662,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 72.84/46.00 tff(13663,plain,
% 72.84/46.00 (v113(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13662, 449, 13659])).
% 72.84/46.00 tff(13664,assumption,(v26(constB81)), introduced(assumption)).
% 72.84/46.00 tff(13665,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13666,plain,
% 72.84/46.00 ($false),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13665, 26, 13664])).
% 72.84/46.00 tff(13667,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.00 tff(13668,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13669,plain,
% 72.84/46.00 ((v26(constB81) | (~v113(constB81)) | v112(constB81)) <=> (v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13670,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81))))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13669])).
% 72.84/46.00 tff(13671,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13670, 13668])).
% 72.84/46.00 tff(13672,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13673,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13672, 13671])).
% 72.84/46.00 tff(13674,plain,
% 72.84/46.00 (v112(constB81) | (~v113(constB81))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13673, 463, 13667])).
% 72.84/46.00 tff(13675,plain,
% 72.84/46.00 (v112(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13674, 13663])).
% 72.84/46.00 tff(13676,plain,
% 72.84/46.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13677,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13678,plain,
% 72.84/46.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 72.84/46.00 tff(13679,plain,
% 72.84/46.00 (v108(constB81)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13678, 475, 13675])).
% 72.84/46.00 tff(13680,plain,
% 72.84/46.00 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13681,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 72.84/46.00 tff(13682,plain,
% 72.84/46.00 (nextState(constB81, constB82)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 72.84/46.00 tff(13683,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13684,plain,
% 72.84/46.00 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13685,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13684])).
% 72.84/46.00 tff(13686,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13685, 13683])).
% 72.84/46.00 tff(13687,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13688,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 72.84/46.00 tff(13689,plain,
% 72.84/46.00 (v110(constB82) | (~v108(constB81))),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13688, 492, 13682])).
% 72.84/46.00 tff(13690,plain,
% 72.84/46.00 (v110(constB82)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13689, 13679])).
% 72.84/46.00 tff(13691,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13692,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13693,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 72.84/46.00 tff(13694,plain,
% 72.84/46.00 (~v104(constB82)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13693, 510, 13682, 13554])).
% 72.84/46.00 tff(13695,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13696,plain,
% 72.84/46.00 (((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13697,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)))),
% 72.84/46.00 inference(monotonicity,[status(thm)],[13696])).
% 72.84/46.00 tff(13698,plain,
% 72.84/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 72.84/46.00 inference(transitivity,[status(thm)],[13697, 13695])).
% 72.84/46.00 tff(13699,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 72.84/46.00 inference(quant_inst,[status(thm)],[])).
% 72.84/46.00 tff(13700,plain,
% 72.84/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)),
% 72.84/46.00 inference(modus_ponens,[status(thm)],[13699, 13698])).
% 72.84/46.00 tff(13701,plain,
% 72.84/46.00 (v104(constB82) | v102(constB82)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13700, 524, 13682])).
% 72.84/46.00 tff(13702,plain,
% 72.84/46.00 (v102(constB82)),
% 72.84/46.00 inference(unit_resolution,[status(thm)],[13701, 13694])).
% 72.84/46.00 tff(13703,plain,
% 72.84/46.00 (v1(constB82) <=> v1(constB82)),
% 72.84/46.00 inference(rewrite,[status(thm)],[])).
% 72.84/46.00 tff(13704,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 72.84/46.01 tff(13705,plain,
% 72.84/46.01 (v1(constB82)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 72.84/46.01 tff(13706,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13707,plain,
% 72.84/46.01 (((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))) <=> ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13708,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13707])).
% 72.84/46.01 tff(13709,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13708, 13706])).
% 72.84/46.01 tff(13710,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13711,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 72.84/46.01 tff(13712,plain,
% 72.84/46.01 (v101(constB82) | (~v102(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13711, 545, 13682, 13705])).
% 72.84/46.01 tff(13713,plain,
% 72.84/46.01 (v101(constB82)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13712, 13702])).
% 72.84/46.01 tff(13714,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13715,plain,
% 72.84/46.01 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13716,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13715])).
% 72.84/46.01 tff(13717,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13716, 13714])).
% 72.84/46.01 tff(13718,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13719,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 72.84/46.01 tff(13720,plain,
% 72.84/46.01 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13719, 563, 13682])).
% 72.84/46.01 tff(13721,plain,
% 72.84/46.01 (v100(constB82) | (~v110(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13720, 13713])).
% 72.84/46.01 tff(13722,plain,
% 72.84/46.01 (v100(constB82)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13721, 13690])).
% 72.84/46.01 tff(13723,plain,
% 72.84/46.01 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13724,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13725,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 72.84/46.01 tff(13726,plain,
% 72.84/46.01 (v130(constB81, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13725, 2079, 13647])).
% 72.84/46.01 tff(13727,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13728,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13729,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 72.84/46.01 tff(13730,plain,
% 72.84/46.01 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13729, 596, 13667])).
% 72.84/46.01 tff(13731,plain,
% 72.84/46.01 (v127(constB81, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13730, 13726])).
% 72.84/46.01 tff(13732,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13733,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13734,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13733, 13732])).
% 72.84/46.01 tff(13735,plain,
% 72.84/46.01 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13734, 611, 13682])).
% 72.84/46.01 tff(13736,plain,
% 72.84/46.01 (v129(constB82, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13735, 13731])).
% 72.84/46.01 tff(13737,plain,
% 72.84/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13738,plain,
% 72.84/46.01 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13739,plain,
% 72.84/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13738])).
% 72.84/46.01 tff(13740,plain,
% 72.84/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13739, 13737])).
% 72.84/46.01 tff(13741,plain,
% 72.84/46.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13742,plain,
% 72.84/46.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 72.84/46.01 tff(13743,plain,
% 72.84/46.01 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13742, 626, 13736])).
% 72.84/46.01 tff(13744,plain,
% 72.84/46.01 (v90(constB82, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13743, 13722])).
% 72.84/46.01 tff(13745,plain,
% 72.84/46.01 ((~v1(constB83)) <=> (~v1(constB83))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13746,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 72.84/46.01 tff(13747,plain,
% 72.84/46.01 (~v1(constB83)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 72.84/46.01 tff(13748,plain,
% 72.84/46.01 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13749,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 72.84/46.01 tff(13750,plain,
% 72.84/46.01 (nextState(constB82, constB83)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13749, 13748])).
% 72.84/46.01 tff(13751,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13752,plain,
% 72.84/46.01 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13753,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13752])).
% 72.84/46.01 tff(13754,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13753, 13751])).
% 72.84/46.01 tff(13755,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13756,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13755, 13754])).
% 72.84/46.01 tff(13757,plain,
% 72.84/46.01 (~v101(constB83)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13756, 288, 13750, 13747])).
% 72.84/46.01 tff(13758,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13759,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13760,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 72.84/46.01 tff(13761,plain,
% 72.84/46.01 (v101(constB83) | (~v100(constB83))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13760, 305, 13750])).
% 72.84/46.01 tff(13762,plain,
% 72.84/46.01 (~v100(constB83)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13761, 13757])).
% 72.84/46.01 tff(13763,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13764,plain,
% 72.84/46.01 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13765,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13764])).
% 72.84/46.01 tff(13766,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13765, 13763])).
% 72.84/46.01 tff(13767,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13768,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 72.84/46.01 tff(13769,plain,
% 72.84/46.01 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13768, 662, 13750])).
% 72.84/46.01 tff(13770,plain,
% 72.84/46.01 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13769, 13762])).
% 72.84/46.01 tff(13771,plain,
% 72.84/46.01 (v90(constB83, bitIndex2)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13770, 13744])).
% 72.84/46.01 tff(13772,plain,
% 72.84/46.01 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13773,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13774,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13773, 13772])).
% 72.84/46.01 tff(13775,plain,
% 72.84/46.01 (~v130(constB81, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13774, 2182, 13647])).
% 72.84/46.01 tff(13776,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13777,plain,
% 72.84/46.01 ((v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0))) <=> ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13778,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13777])).
% 72.84/46.01 tff(13779,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13778, 13776])).
% 72.84/46.01 tff(13780,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13781,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 72.84/46.01 tff(13782,plain,
% 72.84/46.01 ((~v127(constB81, bitIndex0)) | v130(constB81, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13781, 769, 13667])).
% 72.84/46.01 tff(13783,plain,
% 72.84/46.01 (~v127(constB81, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13782, 13775])).
% 72.84/46.01 tff(13784,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13785,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13786,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 72.84/46.01 tff(13787,plain,
% 72.84/46.01 (v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13786, 787, 13682])).
% 72.84/46.01 tff(13788,plain,
% 72.84/46.01 (~v129(constB82, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13787, 13783])).
% 72.84/46.01 tff(13789,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13790,plain,
% 72.84/46.01 (((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13791,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13790])).
% 72.84/46.01 tff(13792,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13791, 13789])).
% 72.84/46.01 tff(13793,plain,
% 72.84/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13794,plain,
% 72.84/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 72.84/46.01 tff(13795,plain,
% 72.84/46.01 ((~v90(constB82, bitIndex0)) | (~v100(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13794, 802, 13788])).
% 72.84/46.01 tff(13796,plain,
% 72.84/46.01 (~v90(constB82, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13795, 13722])).
% 72.84/46.01 tff(13797,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13798,plain,
% 72.84/46.01 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13799,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13798])).
% 72.84/46.01 tff(13800,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13799, 13797])).
% 72.84/46.01 tff(13801,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13802,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13801, 13800])).
% 72.84/46.01 tff(13803,plain,
% 72.84/46.01 (v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13802, 362, 13750])).
% 72.84/46.01 tff(13804,plain,
% 72.84/46.01 (v90(constB82, bitIndex0) | (~v90(constB83, bitIndex0))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13803, 13762])).
% 72.84/46.01 tff(13805,plain,
% 72.84/46.01 (~v90(constB83, bitIndex0)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13804, 13796])).
% 72.84/46.01 tff(13806,plain,
% 72.84/46.01 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13807,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13808,plain,
% 72.84/46.01 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13807, 13806])).
% 72.84/46.01 tff(13809,plain,
% 72.84/46.01 (~v130(constB81, bitIndex1)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13808, 2138, 13647])).
% 72.84/46.01 tff(13810,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13811,plain,
% 72.84/46.01 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13812,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13811])).
% 72.84/46.01 tff(13813,plain,
% 72.84/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13812, 13810])).
% 72.84/46.01 tff(13814,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13815,plain,
% 72.84/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 72.84/46.01 tff(13816,plain,
% 72.84/46.01 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13815, 695, 13667])).
% 72.84/46.01 tff(13817,plain,
% 72.84/46.01 (~v127(constB81, bitIndex1)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13816, 13809])).
% 72.84/46.01 tff(13818,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13819,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13820,plain,
% 72.84/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13819, 13818])).
% 72.84/46.01 tff(13821,plain,
% 72.84/46.01 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13820, 713, 13682])).
% 72.84/46.01 tff(13822,plain,
% 72.84/46.01 (~v129(constB82, bitIndex1)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13821, 13817])).
% 72.84/46.01 tff(13823,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13824,plain,
% 72.84/46.01 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 72.84/46.01 inference(rewrite,[status(thm)],[])).
% 72.84/46.01 tff(13825,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 72.84/46.01 inference(monotonicity,[status(thm)],[13824])).
% 72.84/46.01 tff(13826,plain,
% 72.84/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 72.84/46.01 inference(transitivity,[status(thm)],[13825, 13823])).
% 72.84/46.01 tff(13827,plain,
% 72.84/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 72.84/46.01 inference(quant_inst,[status(thm)],[])).
% 72.84/46.01 tff(13828,plain,
% 72.84/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 72.84/46.01 inference(modus_ponens,[status(thm)],[13827, 13826])).
% 72.84/46.01 tff(13829,plain,
% 72.84/46.01 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13828, 728, 13822])).
% 72.84/46.01 tff(13830,plain,
% 72.84/46.01 (~v90(constB82, bitIndex1)),
% 72.84/46.01 inference(unit_resolution,[status(thm)],[13829, 13722])).
% 72.84/46.01 tff(13831,plain,
% 72.84/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13832,plain,
% 72.84/46.02 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13833,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13832])).
% 72.84/46.02 tff(13834,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13833, 13831])).
% 72.84/46.02 tff(13835,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13836,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13835, 13834])).
% 72.84/46.02 tff(13837,plain,
% 72.84/46.02 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13836, 341, 13750])).
% 72.84/46.02 tff(13838,plain,
% 72.84/46.02 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13837, 13762])).
% 72.84/46.02 tff(13839,plain,
% 72.84/46.02 (~v90(constB83, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13838, 13830])).
% 72.84/46.02 tff(13840,assumption,(~v123(constB83)), introduced(assumption)).
% 72.84/46.02 tff(13841,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13842,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13843,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13842, 13841])).
% 72.84/46.02 tff(13844,plain,
% 72.84/46.02 (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13843, 829, 13840])).
% 72.84/46.02 tff(13845,plain,
% 72.84/46.02 ($false),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13844, 13839, 13805, 13771])).
% 72.84/46.02 tff(13846,plain,((~v122(constB81)) | v123(constB83)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.02 tff(13847,plain,
% 72.84/46.02 (v123(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13846, 13646])).
% 72.84/46.02 tff(13848,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB83) | (~v123(constB83)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB83) | (~v123(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13849,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB83) | (~v123(constB83)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13850,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB83) | (~v123(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 72.84/46.02 tff(13851,plain,
% 72.84/46.02 (v115(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13850, 840, 13847])).
% 72.84/46.02 tff(13852,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB83) | (~v115(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13853,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB83) | (~v115(constB83)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13854,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB83) | (~v115(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 72.84/46.02 tff(13855,plain,
% 72.84/46.02 (v114(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13854, 438, 13851])).
% 72.84/46.02 tff(13856,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13857,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13858,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 72.84/46.02 tff(13859,plain,
% 72.84/46.02 (v113(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13858, 449, 13855])).
% 72.84/46.02 tff(13860,assumption,(v26(constB83)), introduced(assumption)).
% 72.84/46.02 tff(13861,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13862,plain,
% 72.84/46.02 ($false),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13861, 26, 13860])).
% 72.84/46.02 tff(13863,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.02 tff(13864,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13865,plain,
% 72.84/46.02 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13866,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13865])).
% 72.84/46.02 tff(13867,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13866, 13864])).
% 72.84/46.02 tff(13868,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13869,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 72.84/46.02 tff(13870,plain,
% 72.84/46.02 (v112(constB83) | (~v113(constB83))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13869, 463, 13863])).
% 72.84/46.02 tff(13871,plain,
% 72.84/46.02 (v112(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13870, 13859])).
% 72.84/46.02 tff(13872,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13873,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13874,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 72.84/46.02 tff(13875,plain,
% 72.84/46.02 (v108(constB83)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13874, 475, 13871])).
% 72.84/46.02 tff(13876,plain,
% 72.84/46.02 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13877,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 72.84/46.02 tff(13878,plain,
% 72.84/46.02 (nextState(constB83, constB84)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 72.84/46.02 tff(13879,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13880,plain,
% 72.84/46.02 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13881,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13880])).
% 72.84/46.02 tff(13882,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13881, 13879])).
% 72.84/46.02 tff(13883,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13884,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13883, 13882])).
% 72.84/46.02 tff(13885,plain,
% 72.84/46.02 (v110(constB84) | (~v108(constB83))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13884, 492, 13878])).
% 72.84/46.02 tff(13886,plain,
% 72.84/46.02 (v110(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13885, 13875])).
% 72.84/46.02 tff(13887,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13888,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13889,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 72.84/46.02 tff(13890,plain,
% 72.84/46.02 (~v104(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13889, 510, 13878, 13747])).
% 72.84/46.02 tff(13891,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13892,plain,
% 72.84/46.02 (((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13893,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13892])).
% 72.84/46.02 tff(13894,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13893, 13891])).
% 72.84/46.02 tff(13895,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13896,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 72.84/46.02 tff(13897,plain,
% 72.84/46.02 (v104(constB84) | v102(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13896, 524, 13878])).
% 72.84/46.02 tff(13898,plain,
% 72.84/46.02 (v102(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13897, 13890])).
% 72.84/46.02 tff(13899,plain,
% 72.84/46.02 (v1(constB84) <=> v1(constB84)),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13900,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 72.84/46.02 tff(13901,plain,
% 72.84/46.02 (v1(constB84)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 72.84/46.02 tff(13902,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13903,plain,
% 72.84/46.02 (((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))) <=> ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13904,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13903])).
% 72.84/46.02 tff(13905,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13904, 13902])).
% 72.84/46.02 tff(13906,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13907,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13906, 13905])).
% 72.84/46.02 tff(13908,plain,
% 72.84/46.02 (v101(constB84) | (~v102(constB84))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13907, 545, 13878, 13901])).
% 72.84/46.02 tff(13909,plain,
% 72.84/46.02 (v101(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13908, 13898])).
% 72.84/46.02 tff(13910,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13911,plain,
% 72.84/46.02 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13912,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13911])).
% 72.84/46.02 tff(13913,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13912, 13910])).
% 72.84/46.02 tff(13914,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13915,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13914, 13913])).
% 72.84/46.02 tff(13916,plain,
% 72.84/46.02 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13915, 563, 13878])).
% 72.84/46.02 tff(13917,plain,
% 72.84/46.02 (v100(constB84) | (~v110(constB84))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13916, 13909])).
% 72.84/46.02 tff(13918,plain,
% 72.84/46.02 (v100(constB84)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13917, 13886])).
% 72.84/46.02 tff(13919,plain,
% 72.84/46.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13920,plain,
% 72.84/46.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13921,plain,
% 72.84/46.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 72.84/46.02 tff(13922,plain,
% 72.84/46.02 (v130(constB83, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13921, 917, 13847])).
% 72.84/46.02 tff(13923,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13924,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13925,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 72.84/46.02 tff(13926,plain,
% 72.84/46.02 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13925, 596, 13863])).
% 72.84/46.02 tff(13927,plain,
% 72.84/46.02 (v127(constB83, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13926, 13922])).
% 72.84/46.02 tff(13928,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13929,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13930,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 72.84/46.02 tff(13931,plain,
% 72.84/46.02 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13930, 611, 13878])).
% 72.84/46.02 tff(13932,plain,
% 72.84/46.02 (v129(constB84, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13931, 13927])).
% 72.84/46.02 tff(13933,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13934,plain,
% 72.84/46.02 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13935,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13934])).
% 72.84/46.02 tff(13936,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13935, 13933])).
% 72.84/46.02 tff(13937,plain,
% 72.84/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13938,plain,
% 72.84/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 72.84/46.02 tff(13939,plain,
% 72.84/46.02 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13938, 626, 13932])).
% 72.84/46.02 tff(13940,plain,
% 72.84/46.02 (v90(constB84, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13939, 13918])).
% 72.84/46.02 tff(13941,plain,
% 72.84/46.02 ((~v1(constB85)) <=> (~v1(constB85))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13942,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 72.84/46.02 tff(13943,plain,
% 72.84/46.02 (~v1(constB85)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 72.84/46.02 tff(13944,plain,
% 72.84/46.02 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13945,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 72.84/46.02 tff(13946,plain,
% 72.84/46.02 (nextState(constB84, constB85)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 72.84/46.02 tff(13947,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13948,plain,
% 72.84/46.02 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13949,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13948])).
% 72.84/46.02 tff(13950,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13949, 13947])).
% 72.84/46.02 tff(13951,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13952,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 72.84/46.02 tff(13953,plain,
% 72.84/46.02 (~v101(constB85)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13952, 288, 13946, 13943])).
% 72.84/46.02 tff(13954,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13955,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13956,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 72.84/46.02 tff(13957,plain,
% 72.84/46.02 (v101(constB85) | (~v100(constB85))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13956, 305, 13946])).
% 72.84/46.02 tff(13958,plain,
% 72.84/46.02 (~v100(constB85)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13957, 13953])).
% 72.84/46.02 tff(13959,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13960,plain,
% 72.84/46.02 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13961,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13960])).
% 72.84/46.02 tff(13962,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13961, 13959])).
% 72.84/46.02 tff(13963,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13964,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 72.84/46.02 tff(13965,plain,
% 72.84/46.02 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13964, 662, 13946])).
% 72.84/46.02 tff(13966,plain,
% 72.84/46.02 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13965, 13958])).
% 72.84/46.02 tff(13967,plain,
% 72.84/46.02 (v90(constB85, bitIndex2)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13966, 13940])).
% 72.84/46.02 tff(13968,plain,
% 72.84/46.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13969,plain,
% 72.84/46.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13970,plain,
% 72.84/46.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13969, 13968])).
% 72.84/46.02 tff(13971,plain,
% 72.84/46.02 (v130(constB83, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13970, 976, 13847])).
% 72.84/46.02 tff(13972,plain,
% 72.84/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13973,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13974,plain,
% 72.84/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13973, 13972])).
% 72.84/46.02 tff(13975,plain,
% 72.84/46.02 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13974, 990, 13863])).
% 72.84/46.02 tff(13976,plain,
% 72.84/46.02 (v127(constB83, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13975, 13971])).
% 72.84/46.02 tff(13977,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13978,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13979,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13978, 13977])).
% 72.84/46.02 tff(13980,plain,
% 72.84/46.02 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13979, 1005, 13878])).
% 72.84/46.02 tff(13981,plain,
% 72.84/46.02 (v129(constB84, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13980, 13976])).
% 72.84/46.02 tff(13982,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13983,plain,
% 72.84/46.02 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13984,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13983])).
% 72.84/46.02 tff(13985,plain,
% 72.84/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13984, 13982])).
% 72.84/46.02 tff(13986,plain,
% 72.84/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 72.84/46.02 inference(quant_inst,[status(thm)],[])).
% 72.84/46.02 tff(13987,plain,
% 72.84/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 72.84/46.02 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 72.84/46.02 tff(13988,plain,
% 72.84/46.02 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13987, 1020, 13981])).
% 72.84/46.02 tff(13989,plain,
% 72.84/46.02 (v90(constB84, bitIndex1)),
% 72.84/46.02 inference(unit_resolution,[status(thm)],[13988, 13918])).
% 72.84/46.02 tff(13990,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13991,plain,
% 72.84/46.02 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 72.84/46.02 inference(rewrite,[status(thm)],[])).
% 72.84/46.02 tff(13992,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 72.84/46.02 inference(monotonicity,[status(thm)],[13991])).
% 72.84/46.02 tff(13993,plain,
% 72.84/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 72.84/46.02 inference(transitivity,[status(thm)],[13992, 13990])).
% 72.84/46.02 tff(13994,plain,
% 72.84/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(13995,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 72.84/46.03 tff(13996,plain,
% 72.84/46.03 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[13995, 1038, 13946])).
% 72.84/46.03 tff(13997,plain,
% 72.84/46.03 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[13996, 13958])).
% 72.84/46.03 tff(13998,plain,
% 72.84/46.03 (v90(constB85, bitIndex1)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[13997, 13989])).
% 72.84/46.03 tff(13999,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14000,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14001,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 72.84/46.03 tff(14002,plain,
% 72.84/46.03 (~v130(constB83, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14001, 1057, 13847])).
% 72.84/46.03 tff(14003,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14004,plain,
% 72.84/46.03 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14005,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14004])).
% 72.84/46.03 tff(14006,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14005, 14003])).
% 72.84/46.03 tff(14007,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14008,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 72.84/46.03 tff(14009,plain,
% 72.84/46.03 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14008, 769, 13863])).
% 72.84/46.03 tff(14010,plain,
% 72.84/46.03 (~v127(constB83, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14009, 14002])).
% 72.84/46.03 tff(14011,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14012,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14013,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 72.84/46.03 tff(14014,plain,
% 72.84/46.03 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14013, 787, 13878])).
% 72.84/46.03 tff(14015,plain,
% 72.84/46.03 (~v129(constB84, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14014, 14010])).
% 72.84/46.03 tff(14016,plain,
% 72.84/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14017,plain,
% 72.84/46.03 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14018,plain,
% 72.84/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14017])).
% 72.84/46.03 tff(14019,plain,
% 72.84/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14018, 14016])).
% 72.84/46.03 tff(14020,plain,
% 72.84/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14021,plain,
% 72.84/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 72.84/46.03 tff(14022,plain,
% 72.84/46.03 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14021, 802, 14015])).
% 72.84/46.03 tff(14023,plain,
% 72.84/46.03 (~v90(constB84, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14022, 13918])).
% 72.84/46.03 tff(14024,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14025,plain,
% 72.84/46.03 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14026,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14025])).
% 72.84/46.03 tff(14027,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14026, 14024])).
% 72.84/46.03 tff(14028,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14029,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 72.84/46.03 tff(14030,plain,
% 72.84/46.03 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14029, 362, 13946])).
% 72.84/46.03 tff(14031,plain,
% 72.84/46.03 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14030, 13958])).
% 72.84/46.03 tff(14032,plain,
% 72.84/46.03 (~v90(constB85, bitIndex0)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14031, 14023])).
% 72.84/46.03 tff(14033,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14034,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14035,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 72.84/46.03 tff(14036,plain,
% 72.84/46.03 (v125(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14035, 1101, 14032, 13998, 13967])).
% 72.84/46.03 tff(14037,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14038,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14039,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14038, 14037])).
% 72.84/46.03 tff(14040,plain,
% 72.84/46.03 (v113(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14039, 1112, 14036])).
% 72.84/46.03 tff(14041,assumption,(v26(constB85)), introduced(assumption)).
% 72.84/46.03 tff(14042,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14043,plain,
% 72.84/46.03 ($false),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14042, 26, 14041])).
% 72.84/46.03 tff(14044,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.03 tff(14045,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14046,plain,
% 72.84/46.03 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14047,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14046])).
% 72.84/46.03 tff(14048,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14047, 14045])).
% 72.84/46.03 tff(14049,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14050,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 72.84/46.03 tff(14051,plain,
% 72.84/46.03 (v112(constB85) | (~v113(constB85))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14050, 463, 14044])).
% 72.84/46.03 tff(14052,plain,
% 72.84/46.03 (v112(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14051, 14040])).
% 72.84/46.03 tff(14053,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14054,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14055,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 72.84/46.03 tff(14056,plain,
% 72.84/46.03 (v108(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14055, 475, 14052])).
% 72.84/46.03 tff(14057,plain,
% 72.84/46.03 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14058,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 72.84/46.03 tff(14059,plain,
% 72.84/46.03 (nextState(constB85, constB86)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14058, 14057])).
% 72.84/46.03 tff(14060,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14061,plain,
% 72.84/46.03 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14062,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14061])).
% 72.84/46.03 tff(14063,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14062, 14060])).
% 72.84/46.03 tff(14064,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14065,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 72.84/46.03 tff(14066,plain,
% 72.84/46.03 (v110(constB86) | (~v108(constB85))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14065, 492, 14059])).
% 72.84/46.03 tff(14067,plain,
% 72.84/46.03 (v110(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14066, 14056])).
% 72.84/46.03 tff(14068,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14069,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14070,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 72.84/46.03 tff(14071,plain,
% 72.84/46.03 (~v104(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14070, 510, 14059, 13943])).
% 72.84/46.03 tff(14072,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14073,plain,
% 72.84/46.03 (((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14074,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14073])).
% 72.84/46.03 tff(14075,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14074, 14072])).
% 72.84/46.03 tff(14076,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14077,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 72.84/46.03 tff(14078,plain,
% 72.84/46.03 (v104(constB86) | v102(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14077, 524, 14059])).
% 72.84/46.03 tff(14079,plain,
% 72.84/46.03 (v102(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14078, 14071])).
% 72.84/46.03 tff(14080,plain,
% 72.84/46.03 (v1(constB86) <=> v1(constB86)),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14081,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 72.84/46.03 tff(14082,plain,
% 72.84/46.03 (v1(constB86)),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14081, 14080])).
% 72.84/46.03 tff(14083,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14084,plain,
% 72.84/46.03 (((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))) <=> ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14085,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14084])).
% 72.84/46.03 tff(14086,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14085, 14083])).
% 72.84/46.03 tff(14087,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14088,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 72.84/46.03 tff(14089,plain,
% 72.84/46.03 (v101(constB86) | (~v102(constB86))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14088, 545, 14059, 14082])).
% 72.84/46.03 tff(14090,plain,
% 72.84/46.03 (v101(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14089, 14079])).
% 72.84/46.03 tff(14091,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14092,plain,
% 72.84/46.03 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14093,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14092])).
% 72.84/46.03 tff(14094,plain,
% 72.84/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14093, 14091])).
% 72.84/46.03 tff(14095,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14096,plain,
% 72.84/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 72.84/46.03 tff(14097,plain,
% 72.84/46.03 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14096, 563, 14059])).
% 72.84/46.03 tff(14098,plain,
% 72.84/46.03 (v100(constB86) | (~v110(constB86))),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14097, 14090])).
% 72.84/46.03 tff(14099,plain,
% 72.84/46.03 (v100(constB86)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14098, 14067])).
% 72.84/46.03 tff(14100,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14101,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14102,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14101, 14100])).
% 72.84/46.03 tff(14103,plain,
% 72.84/46.03 (~v122(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14102, 1193, 13967])).
% 72.84/46.03 tff(14104,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14105,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14106,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14105, 14104])).
% 72.84/46.03 tff(14107,plain,
% 72.84/46.03 (~v124(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14106, 1229, 13998])).
% 72.84/46.03 tff(14108,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14109,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14110,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 72.84/46.03 tff(14111,plain,
% 72.84/46.03 (~v120(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14110, 1240, 13998])).
% 72.84/46.03 tff(14112,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14113,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14114,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14113, 14112])).
% 72.84/46.03 tff(14115,plain,
% 72.84/46.03 (~v119(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14114, 1207, 13998])).
% 72.84/46.03 tff(14116,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14117,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14118,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 72.84/46.03 tff(14119,plain,
% 72.84/46.03 (~v121(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14118, 1182, 13967])).
% 72.84/46.03 tff(14120,plain,
% 72.84/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14121,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14122,plain,
% 72.84/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14121, 14120])).
% 72.84/46.03 tff(14123,plain,
% 72.84/46.03 (~v123(constB85)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14122, 1218, 13998])).
% 72.84/46.03 tff(14124,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14125,plain,
% 72.84/46.03 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14126,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14125])).
% 72.84/46.03 tff(14127,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14126, 14124])).
% 72.84/46.03 tff(14128,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14129,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))),
% 72.84/46.03 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 72.84/46.03 tff(14130,plain,
% 72.84/46.03 (~v130(constB85, bitIndex2)),
% 72.84/46.03 inference(unit_resolution,[status(thm)],[14129, 1254, 14123, 14119, 14115, 14111, 14107, 14103])).
% 72.84/46.03 tff(14131,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14132,plain,
% 72.84/46.03 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 72.84/46.03 inference(rewrite,[status(thm)],[])).
% 72.84/46.03 tff(14133,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 72.84/46.03 inference(monotonicity,[status(thm)],[14132])).
% 72.84/46.03 tff(14134,plain,
% 72.84/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 72.84/46.03 inference(transitivity,[status(thm)],[14133, 14131])).
% 72.84/46.03 tff(14135,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 72.84/46.03 inference(quant_inst,[status(thm)],[])).
% 72.84/46.03 tff(14136,plain,
% 72.84/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 72.84/46.04 tff(14137,plain,
% 72.84/46.04 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14136, 1271, 14044])).
% 72.84/46.04 tff(14138,plain,
% 72.84/46.04 (~v127(constB85, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14137, 14130])).
% 72.84/46.04 tff(14139,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14140,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14141,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14140, 14139])).
% 72.84/46.04 tff(14142,plain,
% 72.84/46.04 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14141, 1289, 14059])).
% 72.84/46.04 tff(14143,plain,
% 72.84/46.04 (~v129(constB86, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14142, 14138])).
% 72.84/46.04 tff(14144,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14145,plain,
% 72.84/46.04 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14146,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14145])).
% 72.84/46.04 tff(14147,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14146, 14144])).
% 72.84/46.04 tff(14148,plain,
% 72.84/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14149,plain,
% 72.84/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 72.84/46.04 tff(14150,plain,
% 72.84/46.04 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14149, 1304, 14143])).
% 72.84/46.04 tff(14151,plain,
% 72.84/46.04 (~v90(constB86, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14150, 14099])).
% 72.84/46.04 tff(14152,plain,
% 72.84/46.04 ((~v1(constB87)) <=> (~v1(constB87))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14153,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 72.84/46.04 tff(14154,plain,
% 72.84/46.04 (~v1(constB87)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 72.84/46.04 tff(14155,plain,
% 72.84/46.04 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14156,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 72.84/46.04 tff(14157,plain,
% 72.84/46.04 (nextState(constB86, constB87)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 72.84/46.04 tff(14158,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14159,plain,
% 72.84/46.04 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14160,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14159])).
% 72.84/46.04 tff(14161,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14160, 14158])).
% 72.84/46.04 tff(14162,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14163,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 72.84/46.04 tff(14164,plain,
% 72.84/46.04 (~v101(constB87)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14163, 288, 14157, 14154])).
% 72.84/46.04 tff(14165,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14166,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14167,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 72.84/46.04 tff(14168,plain,
% 72.84/46.04 (v101(constB87) | (~v100(constB87))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14167, 305, 14157])).
% 72.84/46.04 tff(14169,plain,
% 72.84/46.04 (~v100(constB87)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14168, 14164])).
% 72.84/46.04 tff(14170,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14171,plain,
% 72.84/46.04 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14172,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14171])).
% 72.84/46.04 tff(14173,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14172, 14170])).
% 72.84/46.04 tff(14174,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14175,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 72.84/46.04 tff(14176,plain,
% 72.84/46.04 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14175, 320, 14157])).
% 72.84/46.04 tff(14177,plain,
% 72.84/46.04 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14176, 14169])).
% 72.84/46.04 tff(14178,plain,
% 72.84/46.04 (~v90(constB87, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14177, 14151])).
% 72.84/46.04 tff(14179,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14180,plain,
% 72.84/46.04 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14181,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14180])).
% 72.84/46.04 tff(14182,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14181, 14179])).
% 72.84/46.04 tff(14183,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14184,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 72.84/46.04 tff(14185,plain,
% 72.84/46.04 (~v130(constB85, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14184, 1349, 14123, 14119, 14115, 14111, 14107, 14103])).
% 72.84/46.04 tff(14186,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14187,plain,
% 72.84/46.04 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14188,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14187])).
% 72.84/46.04 tff(14189,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14188, 14186])).
% 72.84/46.04 tff(14190,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14191,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 72.84/46.04 tff(14192,plain,
% 72.84/46.04 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14191, 695, 14044])).
% 72.84/46.04 tff(14193,plain,
% 72.84/46.04 (~v127(constB85, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14192, 14185])).
% 72.84/46.04 tff(14194,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14195,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14196,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14195, 14194])).
% 72.84/46.04 tff(14197,plain,
% 72.84/46.04 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14196, 713, 14059])).
% 72.84/46.04 tff(14198,plain,
% 72.84/46.04 (~v129(constB86, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14197, 14193])).
% 72.84/46.04 tff(14199,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14200,plain,
% 72.84/46.04 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14201,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14200])).
% 72.84/46.04 tff(14202,plain,
% 72.84/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14201, 14199])).
% 72.84/46.04 tff(14203,plain,
% 72.84/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14204,plain,
% 72.84/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 72.84/46.04 tff(14205,plain,
% 72.84/46.04 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14204, 728, 14198])).
% 72.84/46.04 tff(14206,plain,
% 72.84/46.04 (~v90(constB86, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14205, 14099])).
% 72.84/46.04 tff(14207,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14208,plain,
% 72.84/46.04 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14209,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14208])).
% 72.84/46.04 tff(14210,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14209, 14207])).
% 72.84/46.04 tff(14211,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14212,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 72.84/46.04 tff(14213,plain,
% 72.84/46.04 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14212, 341, 14157])).
% 72.84/46.04 tff(14214,plain,
% 72.84/46.04 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14213, 14169])).
% 72.84/46.04 tff(14215,plain,
% 72.84/46.04 (~v90(constB87, bitIndex1)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14214, 14206])).
% 72.84/46.04 tff(14216,assumption,(~v90(constB85, bitIndex0)), introduced(assumption)).
% 72.84/46.04 tff(14217,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14218,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14219,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 72.84/46.04 tff(14220,plain,
% 72.84/46.04 (~v122(constB85)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14219, 3752, 14216])).
% 72.84/46.04 tff(14221,assumption,(~v124(constB85)), introduced(assumption)).
% 72.84/46.04 tff(14222,assumption,(~v120(constB85)), introduced(assumption)).
% 72.84/46.04 tff(14223,assumption,(~v121(constB85)), introduced(assumption)).
% 72.84/46.04 tff(14224,assumption,(~v123(constB85)), introduced(assumption)).
% 72.84/46.04 tff(14225,assumption,(~v130(constB85, bitIndex0)), introduced(assumption)).
% 72.84/46.04 tff(14226,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14227,plain,
% 72.84/46.04 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14228,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14227])).
% 72.84/46.04 tff(14229,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14228, 14226])).
% 72.84/46.04 tff(14230,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14231,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 72.84/46.04 tff(14232,plain,
% 72.84/46.04 (v122(constB85) | v119(constB85)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14231, 1396, 14225, 14224, 14223, 14222, 14221])).
% 72.84/46.04 tff(14233,plain,
% 72.84/46.04 (v119(constB85)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14232, 14220])).
% 72.84/46.04 tff(14234,plain,
% 72.84/46.04 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB85)) | (~v90(constB85, bitIndex2)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14235,plain,
% 72.84/46.04 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex2)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14236,plain,
% 72.84/46.04 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB85)) | (~v90(constB85, bitIndex2))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 72.84/46.04 tff(14237,plain,
% 72.84/46.04 (~v90(constB85, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14236, 3402, 14233])).
% 72.84/46.04 tff(14238,plain,
% 72.84/46.04 (~v90(constB84, bitIndex2)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[13966, 14237])).
% 72.84/46.04 tff(14239,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14240,plain,
% 72.84/46.04 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex0)) | v100(constB85) | v90(constB85, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14241,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex0)) | v100(constB85) | v90(constB85, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0)))),
% 72.84/46.04 inference(monotonicity,[status(thm)],[14240])).
% 72.84/46.04 tff(14242,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex0)) | v100(constB85) | v90(constB85, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0))),
% 72.84/46.04 inference(transitivity,[status(thm)],[14241, 14239])).
% 72.84/46.04 tff(14243,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex0)) | v100(constB85) | v90(constB85, bitIndex0))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14244,plain,
% 72.84/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex0)),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 72.84/46.04 tff(14245,plain,
% 72.84/46.04 ((~v90(constB84, bitIndex0)) | v100(constB85) | v90(constB85, bitIndex0)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14244, 1461, 13946])).
% 72.84/46.04 tff(14246,plain,
% 72.84/46.04 ((~v90(constB84, bitIndex0)) | v90(constB85, bitIndex0)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14245, 13958])).
% 72.84/46.04 tff(14247,plain,
% 72.84/46.04 (~v90(constB84, bitIndex0)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14246, 14216])).
% 72.84/46.04 tff(14248,assumption,(~v110(constB84)), introduced(assumption)).
% 72.84/46.04 tff(14249,plain,
% 72.84/46.04 (~v108(constB83)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[13885, 14248])).
% 72.84/46.04 tff(14250,plain,
% 72.84/46.04 (~v112(constB83)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[13874, 475, 14249])).
% 72.84/46.04 tff(14251,plain,
% 72.84/46.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB83) | (~v26(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB83) | (~v26(constB83)))),
% 72.84/46.04 inference(rewrite,[status(thm)],[])).
% 72.84/46.04 tff(14252,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB83) | (~v26(constB83)))),
% 72.84/46.04 inference(quant_inst,[status(thm)],[])).
% 72.84/46.04 tff(14253,plain,
% 72.84/46.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB83) | (~v26(constB83))),
% 72.84/46.04 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 72.84/46.04 tff(14254,plain,
% 72.84/46.04 (~v26(constB83)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[14253, 1807, 14249])).
% 72.84/46.04 tff(14255,plain,
% 72.84/46.04 (~v113(constB83)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[13869, 463, 14254, 14250])).
% 72.84/46.04 tff(14256,plain,
% 72.84/46.04 (~v114(constB83)),
% 72.84/46.04 inference(unit_resolution,[status(thm)],[13858, 449, 14255])).
% 72.84/46.04 tff(14257,plain,
% 72.84/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v100(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v100(constB84)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14258,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v100(constB84)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14259,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v100(constB84))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 72.84/46.05 tff(14260,plain,
% 72.84/46.05 (v110(constB84) | (~v100(constB84))),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14259, 3479, 13878])).
% 72.84/46.05 tff(14261,plain,
% 72.84/46.05 (~v100(constB84)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14260, 14248])).
% 72.84/46.05 tff(14262,assumption,(~v90(constB84, bitIndex0)), introduced(assumption)).
% 72.84/46.05 tff(14263,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14264,plain,
% 72.84/46.05 (((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0)) <=> ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14265,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0)))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14264])).
% 72.84/46.05 tff(14266,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14265, 14263])).
% 72.84/46.05 tff(14267,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14268,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 72.84/46.05 tff(14269,plain,
% 72.84/46.05 ((~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14268, 1461, 13878])).
% 72.84/46.05 tff(14270,plain,
% 72.84/46.05 (~v90(constB83, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14269, 14261, 14262])).
% 72.84/46.05 tff(14271,plain,
% 72.84/46.05 (~v115(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13854, 438, 14256])).
% 72.84/46.05 tff(14272,plain,
% 72.84/46.05 (~v123(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13850, 840, 14271])).
% 72.84/46.05 tff(14273,assumption,(~v90(constB83, bitIndex1)), introduced(assumption)).
% 72.84/46.05 tff(14274,plain,
% 72.84/46.05 (v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)) | v123(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13843, 829, 14273])).
% 72.84/46.05 tff(14275,plain,
% 72.84/46.05 (~v90(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14274, 14272, 14270])).
% 72.84/46.05 tff(14276,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB83) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | v90(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB83) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | v90(constB83, bitIndex2))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14277,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB83) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | v90(constB83, bitIndex2))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14278,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB83) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | v90(constB83, bitIndex2)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 72.84/46.05 tff(14279,plain,
% 72.84/46.05 (v119(constB83) | v90(constB83, bitIndex0) | v90(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14278, 383, 14273])).
% 72.84/46.05 tff(14280,plain,
% 72.84/46.05 (v119(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14279, 14275, 14270])).
% 72.84/46.05 tff(14281,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB83) | (~v119(constB83)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB83) | (~v119(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14282,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB83) | (~v119(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14283,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB83) | (~v119(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 72.84/46.05 tff(14284,plain,
% 72.84/46.05 (v118(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14283, 394, 14280])).
% 72.84/46.05 tff(14285,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB83) | (~v116(constB83)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB83) | (~v116(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14286,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB83) | (~v116(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14287,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB83) | (~v116(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 72.84/46.05 tff(14288,plain,
% 72.84/46.05 (~v116(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14287, 427, 14271])).
% 72.84/46.05 tff(14289,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB83) | (~v117(constB83)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB83) | (~v117(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14290,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB83) | (~v117(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14291,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB83) | (~v117(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 72.84/46.05 tff(14292,plain,
% 72.84/46.05 (~v117(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14291, 416, 14288])).
% 72.84/46.05 tff(14293,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB83) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB83) | (~v118(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14294,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB83) | (~v118(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14295,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB83) | (~v118(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 72.84/46.05 tff(14296,plain,
% 72.84/46.05 ($false),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14295, 405, 14292, 14284])).
% 72.84/46.05 tff(14297,plain,(v110(constB84) | v90(constB83, bitIndex1) | v90(constB84, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.05 tff(14298,plain,
% 72.84/46.05 (v90(constB83, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14297, 14248, 14262])).
% 72.84/46.05 tff(14299,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14300,plain,
% 72.84/46.05 (((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex1)) | v100(constB84) | v90(constB84, bitIndex1)) <=> ((~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14301,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex1)) | v100(constB84) | v90(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1)))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14300])).
% 72.84/46.05 tff(14302,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex1)) | v100(constB84) | v90(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14301, 14299])).
% 72.84/46.05 tff(14303,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex1)) | v100(constB84) | v90(constB84, bitIndex1))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14304,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB83, bitIndex1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex1)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14303, 14302])).
% 72.84/46.05 tff(14305,plain,
% 72.84/46.05 ((~v90(constB83, bitIndex1)) | v100(constB84) | v90(constB84, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14304, 1038, 13878])).
% 72.84/46.05 tff(14306,plain,
% 72.84/46.05 (v90(constB84, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14305, 14298, 14261])).
% 72.84/46.05 tff(14307,assumption,(v90(constB84, bitIndex2)), introduced(assumption)).
% 72.84/46.05 tff(14308,assumption,(~v100(constB84)), introduced(assumption)).
% 72.84/46.05 tff(14309,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14310,plain,
% 72.84/46.05 (((~nextState(constB83, constB84)) | v90(constB83, bitIndex2) | v100(constB84) | (~v90(constB84, bitIndex2))) <=> (v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14311,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex2) | v100(constB84) | (~v90(constB84, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2))))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14310])).
% 72.84/46.05 tff(14312,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex2) | v100(constB84) | (~v90(constB84, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2)))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14311, 14309])).
% 72.84/46.05 tff(14313,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex2) | v100(constB84) | (~v90(constB84, bitIndex2)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14314,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB83, bitIndex2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex2))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 72.84/46.05 tff(14315,plain,
% 72.84/46.05 (v90(constB83, bitIndex2) | v100(constB84) | (~v90(constB84, bitIndex2))),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14314, 320, 13878])).
% 72.84/46.05 tff(14316,plain,
% 72.84/46.05 (v90(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14315, 14308, 14307])).
% 72.84/46.05 tff(14317,assumption,(v90(constB84, bitIndex1)), introduced(assumption)).
% 72.84/46.05 tff(14318,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14319,plain,
% 72.84/46.05 (((~nextState(constB83, constB84)) | v90(constB83, bitIndex1) | v100(constB84) | (~v90(constB84, bitIndex1))) <=> (v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14320,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex1) | v100(constB84) | (~v90(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1))))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14319])).
% 72.84/46.05 tff(14321,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex1) | v100(constB84) | (~v90(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1)))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14320, 14318])).
% 72.84/46.05 tff(14322,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v90(constB83, bitIndex1) | v100(constB84) | (~v90(constB84, bitIndex1)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14323,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, bitIndex1))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 72.84/46.05 tff(14324,plain,
% 72.84/46.05 (v90(constB83, bitIndex1) | v100(constB84) | (~v90(constB84, bitIndex1))),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14323, 341, 13878])).
% 72.84/46.05 tff(14325,plain,
% 72.84/46.05 (v90(constB83, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14324, 14308, 14317])).
% 72.84/46.05 tff(14326,plain,
% 72.84/46.05 (~v90(constB83, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14269, 14308, 14262])).
% 72.84/46.05 tff(14327,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | (~v90(constB83, bitIndex2)) | v125(constB83))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | (~v90(constB83, bitIndex2)) | v125(constB83))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14328,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | (~v90(constB83, bitIndex2)) | v125(constB83))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14329,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | (~v90(constB83, bitIndex2)) | v125(constB83)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 72.84/46.05 tff(14330,plain,
% 72.84/46.05 (v125(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14329, 1101, 14326, 14325, 14316])).
% 72.84/46.05 tff(14331,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB83) | (~v125(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB83) | (~v125(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14332,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB83) | (~v125(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14333,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB83) | (~v125(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 72.84/46.05 tff(14334,plain,
% 72.84/46.05 (v113(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14333, 1112, 14330])).
% 72.84/46.05 tff(14335,plain,
% 72.84/46.05 (~v110(constB84)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13917, 14308])).
% 72.84/46.05 tff(14336,plain,
% 72.84/46.05 (~v108(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13885, 14335])).
% 72.84/46.05 tff(14337,plain,
% 72.84/46.05 (~v112(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13874, 475, 14336])).
% 72.84/46.05 tff(14338,plain,
% 72.84/46.05 (~v26(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14253, 1807, 14336])).
% 72.84/46.05 tff(14339,plain,
% 72.84/46.05 ($false),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13869, 463, 14338, 14337, 14334])).
% 72.84/46.05 tff(14340,plain,(v100(constB84) | (~v90(constB84, bitIndex2)) | (~v90(constB84, bitIndex1)) | v90(constB84, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.05 tff(14341,plain,
% 72.84/46.05 (~v90(constB84, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14340, 14306, 14261, 14262])).
% 72.84/46.05 tff(14342,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14343,plain,
% 72.84/46.05 (((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex2)) | v100(constB84) | v90(constB84, bitIndex2)) <=> ((~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14344,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex2)) | v100(constB84) | v90(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2)))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14343])).
% 72.84/46.05 tff(14345,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex2)) | v100(constB84) | v90(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14344, 14342])).
% 72.84/46.05 tff(14346,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex2)) | v100(constB84) | v90(constB84, bitIndex2))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14347,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex2)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 72.84/46.05 tff(14348,plain,
% 72.84/46.05 ((~v90(constB83, bitIndex2)) | v100(constB84) | v90(constB84, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14347, 662, 13878])).
% 72.84/46.05 tff(14349,plain,
% 72.84/46.05 (~v90(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14348, 14341, 14261])).
% 72.84/46.05 tff(14350,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | v90(constB83, bitIndex2) | v121(constB83))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | v90(constB83, bitIndex2) | v121(constB83))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14351,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | v90(constB83, bitIndex2) | v121(constB83))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14352,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex1)) | v90(constB83, bitIndex2) | v121(constB83)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14351, 14350])).
% 72.84/46.05 tff(14353,plain,
% 72.84/46.05 (v121(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14352, 1734, 14270, 14298, 14349])).
% 72.84/46.05 tff(14354,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB83) | (~v121(constB83)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB83) | (~v121(constB83)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14355,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB83) | (~v121(constB83)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14356,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB83) | (~v121(constB83))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 72.84/46.05 tff(14357,plain,
% 72.84/46.05 (v117(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14356, 1775, 14353])).
% 72.84/46.05 tff(14358,plain,
% 72.84/46.05 (v116(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14291, 416, 14357])).
% 72.84/46.05 tff(14359,plain,
% 72.84/46.05 (v115(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14287, 427, 14358])).
% 72.84/46.05 tff(14360,plain,
% 72.84/46.05 ($false),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13854, 438, 14359, 14256])).
% 72.84/46.05 tff(14361,plain,(v110(constB84) | v90(constB84, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.05 tff(14362,plain,
% 72.84/46.05 (v110(constB84)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14361, 14247])).
% 72.84/46.05 tff(14363,plain,
% 72.84/46.05 (v100(constB84)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13917, 14362])).
% 72.84/46.05 tff(14364,plain,
% 72.84/46.05 (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13938, 626, 14363])).
% 72.84/46.05 tff(14365,plain,
% 72.84/46.05 (~v129(constB84, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14364, 14238])).
% 72.84/46.05 tff(14366,plain,
% 72.84/46.05 (~v127(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13931, 14365])).
% 72.84/46.05 tff(14367,plain,
% 72.84/46.05 (~v130(constB83, bitIndex2)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[13926, 14366])).
% 72.84/46.05 tff(14368,plain,
% 72.84/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14369,plain,
% 72.84/46.05 ((v90(constB84, bitIndex0) | (~v100(constB84)) | (~v129(constB84, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14370,plain,
% 72.84/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~v100(constB84)) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84))))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14369])).
% 72.84/46.05 tff(14371,plain,
% 72.84/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~v100(constB84)) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84)))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14370, 14368])).
% 72.84/46.05 tff(14372,plain,
% 72.84/46.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~v100(constB84)) | (~v129(constB84, bitIndex0)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14373,plain,
% 72.84/46.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~v129(constB84, bitIndex0)) | (~v100(constB84))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14372, 14371])).
% 72.84/46.05 tff(14374,plain,
% 72.84/46.05 (~v129(constB84, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14373, 1443, 14363, 14247])).
% 72.84/46.05 tff(14375,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex0)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex0)) | v129(constB84, bitIndex0))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14376,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex0)) | v129(constB84, bitIndex0))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14377,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex0)) | v129(constB84, bitIndex0)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14376, 14375])).
% 72.84/46.05 tff(14378,plain,
% 72.84/46.05 ((~v127(constB83, bitIndex0)) | v129(constB84, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14377, 1428, 13878])).
% 72.84/46.05 tff(14379,plain,
% 72.84/46.05 (~v127(constB83, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14378, 14374])).
% 72.84/46.05 tff(14380,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB83) | (~v130(constB83, bitIndex0)) | v127(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB83) | (~v130(constB83, bitIndex0)) | v127(constB83, bitIndex0))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14381,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB83) | (~v130(constB83, bitIndex0)) | v127(constB83, bitIndex0))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14382,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB83) | (~v130(constB83, bitIndex0)) | v127(constB83, bitIndex0)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 72.84/46.05 tff(14383,plain,
% 72.84/46.05 ((~v130(constB83, bitIndex0)) | v127(constB83, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14382, 1413, 13863])).
% 72.84/46.05 tff(14384,plain,
% 72.84/46.05 (~v130(constB83, bitIndex0)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14383, 14379])).
% 72.84/46.05 tff(14385,plain,
% 72.84/46.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB83)) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB83)) | v130(constB83, bitIndex0))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14386,plain,
% 72.84/46.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB83)) | v130(constB83, bitIndex0))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14387,plain,
% 72.84/46.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB83)) | v130(constB83, bitIndex0)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 72.84/46.05 tff(14388,plain,
% 72.84/46.05 (~v121(constB83)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14387, 1945, 14384])).
% 72.84/46.05 tff(14389,assumption,(v100(constB84)), introduced(assumption)).
% 72.84/46.05 tff(14390,assumption,(~v26(constB83)), introduced(assumption)).
% 72.84/46.05 tff(14391,assumption,(v119(constB83)), introduced(assumption)).
% 72.84/46.05 tff(14392,plain,
% 72.84/46.05 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB83)) | (~v130(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB83)) | (~v130(constB83, bitIndex1)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14393,plain,
% 72.84/46.05 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB83)) | (~v130(constB83, bitIndex1)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14394,plain,
% 72.84/46.05 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB83)) | (~v130(constB83, bitIndex1))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 72.84/46.05 tff(14395,plain,
% 72.84/46.05 (~v130(constB83, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14394, 681, 14391])).
% 72.84/46.05 tff(14396,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14397,plain,
% 72.84/46.05 ((v26(constB83) | v130(constB83, bitIndex1) | (~v127(constB83, bitIndex1))) <=> ((~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14398,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB83) | v130(constB83, bitIndex1) | (~v127(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1)))),
% 72.84/46.05 inference(monotonicity,[status(thm)],[14397])).
% 72.84/46.05 tff(14399,plain,
% 72.84/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB83) | v130(constB83, bitIndex1) | (~v127(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1))),
% 72.84/46.05 inference(transitivity,[status(thm)],[14398, 14396])).
% 72.84/46.05 tff(14400,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB83) | v130(constB83, bitIndex1) | (~v127(constB83, bitIndex1)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14401,plain,
% 72.84/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB83, bitIndex1)) | v26(constB83) | v130(constB83, bitIndex1)),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 72.84/46.05 tff(14402,plain,
% 72.84/46.05 ((~v127(constB83, bitIndex1)) | v130(constB83, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14401, 695, 14390])).
% 72.84/46.05 tff(14403,plain,
% 72.84/46.05 (~v127(constB83, bitIndex1)),
% 72.84/46.05 inference(unit_resolution,[status(thm)],[14402, 14395])).
% 72.84/46.05 tff(14404,plain,
% 72.84/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex1) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex1) | (~v129(constB84, bitIndex1)))),
% 72.84/46.05 inference(rewrite,[status(thm)],[])).
% 72.84/46.05 tff(14405,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex1) | (~v129(constB84, bitIndex1)))),
% 72.84/46.05 inference(quant_inst,[status(thm)],[])).
% 72.84/46.05 tff(14406,plain,
% 72.84/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex1) | (~v129(constB84, bitIndex1))),
% 72.84/46.05 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 72.84/46.05 tff(14407,plain,
% 72.84/46.05 (v127(constB83, bitIndex1) | (~v129(constB84, bitIndex1))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14406, 713, 13878])).
% 72.84/46.06 tff(14408,plain,
% 72.84/46.06 (~v129(constB84, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14407, 14403])).
% 72.84/46.06 tff(14409,plain,
% 72.84/46.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14410,plain,
% 72.84/46.06 (((~v90(constB84, bitIndex1)) | (~v100(constB84)) | v129(constB84, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14411,plain,
% 72.84/46.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~v100(constB84)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84))))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14410])).
% 72.84/46.06 tff(14412,plain,
% 72.84/46.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~v100(constB84)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84)))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14411, 14409])).
% 72.84/46.06 tff(14413,plain,
% 72.84/46.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~v100(constB84)) | v129(constB84, bitIndex1))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14414,plain,
% 72.84/46.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1) | (~v100(constB84))),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 72.84/46.06 tff(14415,plain,
% 72.84/46.06 ((~v90(constB84, bitIndex1)) | v129(constB84, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14414, 728, 14389])).
% 72.84/46.06 tff(14416,plain,
% 72.84/46.06 (~v90(constB84, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14415, 14408])).
% 72.84/46.06 tff(14417,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14418,plain,
% 72.84/46.06 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex1) | v100(constB85) | (~v90(constB85, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14419,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex1) | v100(constB85) | (~v90(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1))))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14418])).
% 72.84/46.06 tff(14420,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex1) | v100(constB85) | (~v90(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1)))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14419, 14417])).
% 72.84/46.06 tff(14421,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex1) | v100(constB85) | (~v90(constB85, bitIndex1)))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14422,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex1))),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 72.84/46.06 tff(14423,plain,
% 72.84/46.06 (v90(constB84, bitIndex1) | v100(constB85) | (~v90(constB85, bitIndex1))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14422, 341, 13946])).
% 72.84/46.06 tff(14424,plain,
% 72.84/46.06 (v90(constB84, bitIndex1) | (~v90(constB85, bitIndex1))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14423, 13958])).
% 72.84/46.06 tff(14425,plain,
% 72.84/46.06 (~v90(constB85, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14424, 14416])).
% 72.84/46.06 tff(14426,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14427,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14428,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB83)) | v130(constB83, bitIndex2)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 72.84/46.06 tff(14429,plain,
% 72.84/46.06 (v130(constB83, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14428, 582, 14391])).
% 72.84/46.06 tff(14430,plain,
% 72.84/46.06 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13925, 596, 14390])).
% 72.84/46.06 tff(14431,plain,
% 72.84/46.06 (v127(constB83, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14430, 14429])).
% 72.84/46.06 tff(14432,plain,
% 72.84/46.06 (v129(constB84, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13931, 14431])).
% 72.84/46.06 tff(14433,plain,
% 72.84/46.06 (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13938, 626, 14389])).
% 72.84/46.06 tff(14434,plain,
% 72.84/46.06 (v90(constB84, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14433, 14432])).
% 72.84/46.06 tff(14435,plain,
% 72.84/46.06 (v90(constB85, bitIndex2)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13966, 14434])).
% 72.84/46.06 tff(14436,plain,
% 72.84/46.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14437,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14438,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 72.84/46.06 tff(14439,plain,
% 72.84/46.06 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14438, 829, 14224])).
% 72.84/46.06 tff(14440,plain,
% 72.84/46.06 ($false),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14439, 14435, 14425, 14216])).
% 72.84/46.06 tff(14441,plain,((~v119(constB83)) | v90(constB85, bitIndex0) | v123(constB85) | (~v100(constB84)) | v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.06 tff(14442,plain,
% 72.84/46.06 (v90(constB85, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14441, 14391, 14224, 14390, 14389])).
% 72.84/46.06 tff(14443,plain,
% 72.84/46.06 (v90(constB84, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14031, 14442])).
% 72.84/46.06 tff(14444,plain,
% 72.84/46.06 ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14021, 802, 14389])).
% 72.84/46.06 tff(14445,plain,
% 72.84/46.06 (v129(constB84, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14444, 14443])).
% 72.84/46.06 tff(14446,plain,
% 72.84/46.06 (v127(constB83, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14014, 14445])).
% 72.84/46.06 tff(14447,plain,
% 72.84/46.06 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14008, 769, 14390])).
% 72.84/46.06 tff(14448,plain,
% 72.84/46.06 (v130(constB83, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14447, 14446])).
% 72.84/46.06 tff(14449,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB83)) | (~v130(constB83, bitIndex0)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14450,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB83)) | (~v130(constB83, bitIndex0)))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14451,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB83)) | (~v130(constB83, bitIndex0))),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14450, 14449])).
% 72.84/46.06 tff(14452,plain,
% 72.84/46.06 ($false),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14451, 755, 14391, 14448])).
% 72.84/46.06 tff(14453,plain,((~v119(constB83)) | v26(constB83) | (~v100(constB84)) | v123(constB85)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.06 tff(14454,plain,
% 72.84/46.06 ((~v119(constB83)) | (~v100(constB84)) | v123(constB85)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14453, 13863])).
% 72.84/46.06 tff(14455,plain,
% 72.84/46.06 (~v119(constB83)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14454, 14363, 14224])).
% 72.84/46.06 tff(14456,plain,
% 72.84/46.06 (~v90(constB85, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14114, 1207, 14233])).
% 72.84/46.06 tff(14457,plain,
% 72.84/46.06 (~v90(constB84, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13997, 14456])).
% 72.84/46.06 tff(14458,plain,
% 72.84/46.06 (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13987, 1020, 14363])).
% 72.84/46.06 tff(14459,plain,
% 72.84/46.06 (~v129(constB84, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14458, 14457])).
% 72.84/46.06 tff(14460,plain,
% 72.84/46.06 (~v127(constB83, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13980, 14459])).
% 72.84/46.06 tff(14461,plain,
% 72.84/46.06 (~v130(constB83, bitIndex1)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13975, 14460])).
% 72.84/46.06 tff(14462,assumption,(~v119(constB83)), introduced(assumption)).
% 72.84/46.06 tff(14463,assumption,(~v130(constB83, bitIndex0)), introduced(assumption)).
% 72.84/46.06 tff(14464,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB83)) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB83)) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14465,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB83)) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14466,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB83)) | v130(constB83, bitIndex0)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 72.84/46.06 tff(14467,plain,
% 72.84/46.06 (~v124(constB83)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14466, 3911, 14463])).
% 72.84/46.06 tff(14468,assumption,(~v130(constB83, bitIndex1)), introduced(assumption)).
% 72.84/46.06 tff(14469,plain,
% 72.84/46.06 (~v123(constB83)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[13970, 976, 14468])).
% 72.84/46.06 tff(14470,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB83)) | v130(constB83, bitIndex1))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14471,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB83)) | v130(constB83, bitIndex1))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14472,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB83)) | v130(constB83, bitIndex1)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 72.84/46.06 tff(14473,plain,
% 72.84/46.06 (~v120(constB83)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14472, 1649, 14468])).
% 72.84/46.06 tff(14474,assumption,(~v121(constB83)), introduced(assumption)).
% 72.84/46.06 tff(14475,assumption,(~v122(constB83)), introduced(assumption)).
% 72.84/46.06 tff(14476,plain,
% 72.84/46.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14477,plain,
% 72.84/46.06 ((v120(constB83) | v119(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, bitIndex0)) <=> (v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14478,plain,
% 72.84/46.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB83) | v119(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0)))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14477])).
% 72.84/46.06 tff(14479,plain,
% 72.84/46.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB83) | v119(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14478, 14476])).
% 72.84/46.06 tff(14480,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB83) | v119(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, bitIndex0))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14481,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v122(constB83) | v121(constB83) | v130(constB83, bitIndex0)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 72.84/46.06 tff(14482,plain,
% 72.84/46.06 (v124(constB83) | v123(constB83) | v120(constB83) | v119(constB83) | v130(constB83, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14481, 1396, 14475, 14474])).
% 72.84/46.06 tff(14483,plain,
% 72.84/46.06 ($false),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14482, 14473, 14469, 14463, 14467, 14462])).
% 72.84/46.06 tff(14484,plain,(v130(constB83, bitIndex1) | v130(constB83, bitIndex0) | v119(constB83) | v122(constB83) | v121(constB83)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.06 tff(14485,plain,
% 72.84/46.06 (v122(constB83)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14484, 14461, 14384, 14455, 14388])).
% 72.84/46.06 tff(14486,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14487,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB83)) | v130(constB83, bitIndex2))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14488,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB83)) | v130(constB83, bitIndex2)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 72.84/46.06 tff(14489,plain,
% 72.84/46.06 ($false),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14488, 2079, 14485, 14367])).
% 72.84/46.06 tff(14490,plain,(v90(constB85, bitIndex0) | v130(constB85, bitIndex0) | v123(constB85) | v121(constB85) | v120(constB85) | v124(constB85)), inference(lemma,lemma(discharge,[]))).
% 72.84/46.06 tff(14491,plain,
% 72.84/46.06 (v130(constB85, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14490, 14119, 14032, 14123, 14111, 14107])).
% 72.84/46.06 tff(14492,plain,
% 72.84/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14493,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14494,plain,
% 72.84/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 72.84/46.06 tff(14495,plain,
% 72.84/46.06 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14494, 1413, 14044])).
% 72.84/46.06 tff(14496,plain,
% 72.84/46.06 (v127(constB85, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14495, 14491])).
% 72.84/46.06 tff(14497,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14498,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14499,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 72.84/46.06 tff(14500,plain,
% 72.84/46.06 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14499, 1428, 14059])).
% 72.84/46.06 tff(14501,plain,
% 72.84/46.06 (v129(constB86, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14500, 14496])).
% 72.84/46.06 tff(14502,plain,
% 72.84/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14503,plain,
% 72.84/46.06 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14504,plain,
% 72.84/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14503])).
% 72.84/46.06 tff(14505,plain,
% 72.84/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14504, 14502])).
% 72.84/46.06 tff(14506,plain,
% 72.84/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14507,plain,
% 72.84/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14506, 14505])).
% 72.84/46.06 tff(14508,plain,
% 72.84/46.06 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14507, 1443, 14501])).
% 72.84/46.06 tff(14509,plain,
% 72.84/46.06 (v90(constB86, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14508, 14099])).
% 72.84/46.06 tff(14510,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14511,plain,
% 72.84/46.06 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14512,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14511])).
% 72.84/46.06 tff(14513,plain,
% 72.84/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14512, 14510])).
% 72.84/46.06 tff(14514,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14515,plain,
% 72.84/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14514, 14513])).
% 72.84/46.06 tff(14516,plain,
% 72.84/46.06 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14515, 1461, 14157])).
% 72.84/46.06 tff(14517,plain,
% 72.84/46.06 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14516, 14169])).
% 72.84/46.06 tff(14518,plain,
% 72.84/46.06 (v90(constB87, bitIndex0)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14517, 14509])).
% 72.84/46.06 tff(14519,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14520,plain,
% 72.84/46.06 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 72.84/46.06 inference(rewrite,[status(thm)],[])).
% 72.84/46.06 tff(14521,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)))),
% 72.84/46.06 inference(monotonicity,[status(thm)],[14520])).
% 72.84/46.06 tff(14522,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 72.84/46.06 inference(transitivity,[status(thm)],[14521, 14519])).
% 72.84/46.06 tff(14523,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 72.84/46.06 inference(quant_inst,[status(thm)],[])).
% 72.84/46.06 tff(14524,plain,
% 72.84/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 72.84/46.06 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 72.84/46.06 tff(14525,plain,
% 72.84/46.06 (v120(constB87)),
% 72.84/46.06 inference(unit_resolution,[status(thm)],[14524, 1480, 14518, 14215, 14178])).
% 72.84/46.06 tff(14526,plain,
% 72.84/46.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14527,plain,
% 72.91/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14528,plain,
% 72.91/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 72.91/46.06 tff(14529,plain,
% 72.91/46.06 (v130(constB87, bitIndex1)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14528, 1649, 14525])).
% 72.91/46.06 tff(14530,assumption,(v26(constB87)), introduced(assumption)).
% 72.91/46.06 tff(14531,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14532,plain,
% 72.91/46.06 ($false),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14531, 26, 14530])).
% 72.91/46.06 tff(14533,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 72.91/46.06 tff(14534,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14535,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14536,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 72.91/46.06 tff(14537,plain,
% 72.91/46.06 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14536, 990, 14533])).
% 72.91/46.06 tff(14538,plain,
% 72.91/46.06 (v127(constB87, bitIndex1)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14537, 14529])).
% 72.91/46.06 tff(14539,plain,
% 72.91/46.06 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14540,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 72.91/46.06 tff(14541,plain,
% 72.91/46.06 (nextState(constB87, constB88)),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 72.91/46.06 tff(14542,plain,
% 72.91/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14543,plain,
% 72.91/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14544,plain,
% 72.91/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 72.91/46.06 tff(14545,plain,
% 72.91/46.06 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14544, 1005, 14541])).
% 72.91/46.06 tff(14546,plain,
% 72.91/46.06 (v129(constB88, bitIndex1)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14545, 14538])).
% 72.91/46.06 tff(14547,assumption,(v120(constB87)), introduced(assumption)).
% 72.91/46.06 tff(14548,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14549,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14550,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 72.91/46.06 tff(14551,plain,
% 72.91/46.06 (v118(constB87)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14550, 1494, 14547])).
% 72.91/46.06 tff(14552,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14553,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14554,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 72.91/46.06 tff(14555,plain,
% 72.91/46.06 (v117(constB87)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14554, 405, 14551])).
% 72.91/46.06 tff(14556,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14557,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14558,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 72.91/46.06 tff(14559,plain,
% 72.91/46.06 (v116(constB87)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14558, 416, 14555])).
% 72.91/46.06 tff(14560,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14561,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14562,plain,
% 72.91/46.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14561, 14560])).
% 72.91/46.06 tff(14563,plain,
% 72.91/46.06 (v115(constB87)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14562, 427, 14559])).
% 72.91/46.06 tff(14564,plain,
% 72.91/46.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14565,plain,
% 72.91/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 72.91/46.06 inference(quant_inst,[status(thm)],[])).
% 72.91/46.06 tff(14566,plain,
% 72.91/46.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 72.91/46.06 inference(modus_ponens,[status(thm)],[14565, 14564])).
% 72.91/46.06 tff(14567,plain,
% 72.91/46.06 (~v130(constB87, bitIndex0)),
% 72.91/46.06 inference(unit_resolution,[status(thm)],[14566, 1690, 14547])).
% 72.91/46.06 tff(14568,plain,
% 72.91/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 72.91/46.06 inference(rewrite,[status(thm)],[])).
% 72.91/46.06 tff(14569,plain,
% 72.91/46.06 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14570,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14569])).
% 72.91/46.07 tff(14571,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14570, 14568])).
% 72.91/46.07 tff(14572,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14573,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 72.91/46.07 tff(14574,plain,
% 72.91/46.07 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14573, 769, 14533])).
% 72.91/46.07 tff(14575,plain,
% 72.91/46.07 (~v127(constB87, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14574, 14567])).
% 72.91/46.07 tff(14576,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14577,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14578,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 72.91/46.07 tff(14579,plain,
% 72.91/46.07 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14578, 787, 14541])).
% 72.91/46.07 tff(14580,plain,
% 72.91/46.07 (~v129(constB88, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14579, 14575])).
% 72.91/46.07 tff(14581,assumption,(v90(constB88, bitIndex0)), introduced(assumption)).
% 72.91/46.07 tff(14582,plain,
% 72.91/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14583,plain,
% 72.91/46.07 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14584,plain,
% 72.91/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14583])).
% 72.91/46.07 tff(14585,plain,
% 72.91/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14584, 14582])).
% 72.91/46.07 tff(14586,plain,
% 72.91/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14587,plain,
% 72.91/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14586, 14585])).
% 72.91/46.07 tff(14588,plain,
% 72.91/46.07 (v129(constB88, bitIndex0) | (~v100(constB88))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14587, 802, 14581])).
% 72.91/46.07 tff(14589,plain,
% 72.91/46.07 (~v100(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14588, 14580])).
% 72.91/46.07 tff(14590,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14591,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14592,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14591, 14590])).
% 72.91/46.07 tff(14593,plain,
% 72.91/46.07 (~v104(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14592, 510, 14541, 14154])).
% 72.91/46.07 tff(14594,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14595,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14596,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14595])).
% 72.91/46.07 tff(14597,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14596, 14594])).
% 72.91/46.07 tff(14598,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14599,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14598, 14597])).
% 72.91/46.07 tff(14600,plain,
% 72.91/46.07 (v104(constB88) | v102(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14599, 524, 14541])).
% 72.91/46.07 tff(14601,plain,
% 72.91/46.07 (v102(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14600, 14593])).
% 72.91/46.07 tff(14602,plain,
% 72.91/46.07 (v1(constB88) <=> v1(constB88)),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14603,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 72.91/46.07 tff(14604,plain,
% 72.91/46.07 (v1(constB88)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 72.91/46.07 tff(14605,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14606,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))) <=> ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14607,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14606])).
% 72.91/46.07 tff(14608,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14607, 14605])).
% 72.91/46.07 tff(14609,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14610,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14609, 14608])).
% 72.91/46.07 tff(14611,plain,
% 72.91/46.07 (v101(constB88) | (~v102(constB88))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14610, 545, 14541, 14604])).
% 72.91/46.07 tff(14612,plain,
% 72.91/46.07 (v101(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14611, 14601])).
% 72.91/46.07 tff(14613,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14614,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14615,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14614])).
% 72.91/46.07 tff(14616,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14615, 14613])).
% 72.91/46.07 tff(14617,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14618,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 72.91/46.07 tff(14619,plain,
% 72.91/46.07 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14618, 563, 14541])).
% 72.91/46.07 tff(14620,plain,
% 72.91/46.07 (v100(constB88) | (~v110(constB88))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14619, 14612])).
% 72.91/46.07 tff(14621,plain,
% 72.91/46.07 (~v110(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14620, 14589])).
% 72.91/46.07 tff(14622,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14623,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14624,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14623])).
% 72.91/46.07 tff(14625,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14624, 14622])).
% 72.91/46.07 tff(14626,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14627,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 72.91/46.07 tff(14628,plain,
% 72.91/46.07 (v110(constB88) | (~v108(constB87))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14627, 492, 14541])).
% 72.91/46.07 tff(14629,plain,
% 72.91/46.07 (~v108(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14628, 14621])).
% 72.91/46.07 tff(14630,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14631,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14632,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 72.91/46.07 tff(14633,plain,
% 72.91/46.07 (~v112(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14632, 475, 14629])).
% 72.91/46.07 tff(14634,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14635,plain,
% 72.91/46.07 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14636,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14635])).
% 72.91/46.07 tff(14637,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14636, 14634])).
% 72.91/46.07 tff(14638,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14639,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 72.91/46.07 tff(14640,plain,
% 72.91/46.07 (v112(constB87) | (~v113(constB87))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14639, 463, 14533])).
% 72.91/46.07 tff(14641,plain,
% 72.91/46.07 (~v113(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14640, 14633])).
% 72.91/46.07 tff(14642,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14643,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14644,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 72.91/46.07 tff(14645,plain,
% 72.91/46.07 (~v114(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14644, 449, 14641])).
% 72.91/46.07 tff(14646,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14647,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14648,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 72.91/46.07 tff(14649,plain,
% 72.91/46.07 ($false),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14648, 438, 14645, 14563])).
% 72.91/46.07 tff(14650,plain,((~v120(constB87)) | (~v90(constB88, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.91/46.07 tff(14651,plain,
% 72.91/46.07 (~v90(constB88, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14650, 14525])).
% 72.91/46.07 tff(14652,assumption,(~v100(constB88)), introduced(assumption)).
% 72.91/46.07 tff(14653,plain,
% 72.91/46.07 (~v110(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14620, 14652])).
% 72.91/46.07 tff(14654,plain,
% 72.91/46.07 (~v108(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14628, 14653])).
% 72.91/46.07 tff(14655,plain,
% 72.91/46.07 (~v112(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14632, 475, 14654])).
% 72.91/46.07 tff(14656,plain,
% 72.91/46.07 (~v113(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14640, 14655])).
% 72.91/46.07 tff(14657,plain,
% 72.91/46.07 (~v114(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14644, 449, 14656])).
% 72.91/46.07 tff(14658,plain,
% 72.91/46.07 (~v115(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14648, 438, 14657])).
% 72.91/46.07 tff(14659,plain,
% 72.91/46.07 (~v116(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14562, 427, 14658])).
% 72.91/46.07 tff(14660,plain,
% 72.91/46.07 (~v117(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14558, 416, 14659])).
% 72.91/46.07 tff(14661,assumption,(~v90(constB88, bitIndex0)), introduced(assumption)).
% 72.91/46.07 tff(14662,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14663,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14664,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 72.91/46.07 tff(14665,plain,
% 72.91/46.07 (~v123(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14664, 840, 14658])).
% 72.91/46.07 tff(14666,assumption,(~v90(constB88, bitIndex1)), introduced(assumption)).
% 72.91/46.07 tff(14667,assumption,(~v90(constB88, bitIndex2)), introduced(assumption)).
% 72.91/46.07 tff(14668,assumption,(~v110(constB88)), introduced(assumption)).
% 72.91/46.07 tff(14669,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14670,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14671,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14670, 14669])).
% 72.91/46.07 tff(14672,plain,
% 72.91/46.07 (v110(constB88) | (~v100(constB88))),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14671, 3479, 14541])).
% 72.91/46.07 tff(14673,plain,
% 72.91/46.07 (~v100(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14672, 14668])).
% 72.91/46.07 tff(14674,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14675,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2)) <=> ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14676,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2)))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14675])).
% 72.91/46.07 tff(14677,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14676, 14674])).
% 72.91/46.07 tff(14678,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14679,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 72.91/46.07 tff(14680,plain,
% 72.91/46.07 ((~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14679, 662, 14541])).
% 72.91/46.07 tff(14681,plain,
% 72.91/46.07 (~v90(constB87, bitIndex2)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14680, 14673, 14667])).
% 72.91/46.07 tff(14682,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14683,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)) <=> ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14684,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14683])).
% 72.91/46.07 tff(14685,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14684, 14682])).
% 72.91/46.07 tff(14686,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14687,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 72.91/46.07 tff(14688,plain,
% 72.91/46.07 ((~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14687, 1038, 14541])).
% 72.91/46.07 tff(14689,plain,
% 72.91/46.07 (~v90(constB87, bitIndex1)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14688, 14673, 14666])).
% 72.91/46.07 tff(14690,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14691,plain,
% 72.91/46.07 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0)) <=> ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14692,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0)))),
% 72.91/46.07 inference(monotonicity,[status(thm)],[14691])).
% 72.91/46.07 tff(14693,plain,
% 72.91/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 72.91/46.07 inference(transitivity,[status(thm)],[14692, 14690])).
% 72.91/46.07 tff(14694,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14695,plain,
% 72.91/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 72.91/46.07 tff(14696,plain,
% 72.91/46.07 ((~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14695, 1461, 14541])).
% 72.91/46.07 tff(14697,plain,
% 72.91/46.07 (~v90(constB87, bitIndex0)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14696, 14673, 14661])).
% 72.91/46.07 tff(14698,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14699,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14700,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14699, 14698])).
% 72.91/46.07 tff(14701,plain,
% 72.91/46.07 (v119(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14700, 383, 14697, 14689, 14681])).
% 72.91/46.07 tff(14702,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14703,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14704,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14703, 14702])).
% 72.91/46.07 tff(14705,plain,
% 72.91/46.07 (v118(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14704, 394, 14701])).
% 72.91/46.07 tff(14706,plain,
% 72.91/46.07 (v117(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14554, 405, 14705])).
% 72.91/46.07 tff(14707,plain,
% 72.91/46.07 (v116(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14558, 416, 14706])).
% 72.91/46.07 tff(14708,plain,
% 72.91/46.07 (~v108(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14628, 14668])).
% 72.91/46.07 tff(14709,plain,
% 72.91/46.07 (~v112(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14632, 475, 14708])).
% 72.91/46.07 tff(14710,plain,
% 72.91/46.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14711,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))),
% 72.91/46.07 inference(quant_inst,[status(thm)],[])).
% 72.91/46.07 tff(14712,plain,
% 72.91/46.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87))),
% 72.91/46.07 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 72.91/46.07 tff(14713,plain,
% 72.91/46.07 (~v26(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14712, 1807, 14708])).
% 72.91/46.07 tff(14714,plain,
% 72.91/46.07 (~v113(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14639, 463, 14713, 14709])).
% 72.91/46.07 tff(14715,plain,
% 72.91/46.07 (~v114(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14644, 449, 14714])).
% 72.91/46.07 tff(14716,plain,
% 72.91/46.07 (~v115(constB87)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14648, 438, 14715])).
% 72.91/46.07 tff(14717,plain,
% 72.91/46.07 ($false),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14562, 427, 14716, 14707])).
% 72.91/46.07 tff(14718,plain,(v110(constB88) | v90(constB88, bitIndex2) | v90(constB88, bitIndex1) | v90(constB88, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.91/46.07 tff(14719,plain,
% 72.91/46.07 (v110(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14718, 14667, 14666, 14661])).
% 72.91/46.07 tff(14720,plain,
% 72.91/46.07 (v100(constB88)),
% 72.91/46.07 inference(unit_resolution,[status(thm)],[14620, 14719])).
% 72.91/46.07 tff(14721,plain,
% 72.91/46.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.07 tff(14722,plain,
% 72.91/46.07 ((v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 72.91/46.07 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14723,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))))),
% 72.91/46.08 inference(monotonicity,[status(thm)],[14722])).
% 72.91/46.08 tff(14724,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 72.91/46.08 inference(transitivity,[status(thm)],[14723, 14721])).
% 72.91/46.08 tff(14725,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14726,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14725, 14724])).
% 72.91/46.08 tff(14727,plain,
% 72.91/46.08 (~v129(constB88, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14726, 626, 14720, 14667])).
% 72.91/46.08 tff(14728,plain,
% 72.91/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14729,plain,
% 72.91/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14730,plain,
% 72.91/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14729, 14728])).
% 72.91/46.08 tff(14731,plain,
% 72.91/46.08 ((~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14730, 611, 14541])).
% 72.91/46.08 tff(14732,plain,
% 72.91/46.08 (~v127(constB87, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14731, 14727])).
% 72.91/46.08 tff(14733,plain,
% 72.91/46.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14734,plain,
% 72.91/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14735,plain,
% 72.91/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14734, 14733])).
% 72.91/46.08 tff(14736,plain,
% 72.91/46.08 ((~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14735, 596, 14533])).
% 72.91/46.08 tff(14737,plain,
% 72.91/46.08 (~v130(constB87, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14736, 14732])).
% 72.91/46.08 tff(14738,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88)))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14739,plain,
% 72.91/46.08 ((v90(constB88, bitIndex0) | (~v100(constB88)) | (~v129(constB88, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88)))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14740,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~v100(constB88)) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88))))),
% 72.91/46.08 inference(monotonicity,[status(thm)],[14739])).
% 72.91/46.08 tff(14741,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~v100(constB88)) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88)))),
% 72.91/46.08 inference(transitivity,[status(thm)],[14740, 14738])).
% 72.91/46.08 tff(14742,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~v100(constB88)) | (~v129(constB88, bitIndex0)))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14743,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~v129(constB88, bitIndex0)) | (~v100(constB88))),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 72.91/46.08 tff(14744,plain,
% 72.91/46.08 ((~v129(constB88, bitIndex0)) | (~v100(constB88))),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14743, 1443, 14661])).
% 72.91/46.08 tff(14745,plain,
% 72.91/46.08 (~v129(constB88, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14744, 14720])).
% 72.91/46.08 tff(14746,plain,
% 72.91/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex0)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex0)) | v129(constB88, bitIndex0))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14747,plain,
% 72.91/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex0)) | v129(constB88, bitIndex0))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14748,plain,
% 72.91/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex0)) | v129(constB88, bitIndex0)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 72.91/46.08 tff(14749,plain,
% 72.91/46.08 ((~v127(constB87, bitIndex0)) | v129(constB88, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14748, 1428, 14541])).
% 72.91/46.08 tff(14750,plain,
% 72.91/46.08 (~v127(constB87, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14749, 14745])).
% 72.91/46.08 tff(14751,plain,
% 72.91/46.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14752,plain,
% 72.91/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14753,plain,
% 72.91/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 72.91/46.08 tff(14754,plain,
% 72.91/46.08 ((~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14753, 1413, 14533])).
% 72.91/46.08 tff(14755,plain,
% 72.91/46.08 (~v130(constB87, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14754, 14750])).
% 72.91/46.08 tff(14756,plain,
% 72.91/46.08 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14757,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14758,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 72.91/46.08 tff(14759,plain,
% 72.91/46.08 (~v121(constB87)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14758, 1945, 14755])).
% 72.91/46.08 tff(14760,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14761,plain,
% 72.91/46.08 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14762,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 72.91/46.08 inference(monotonicity,[status(thm)],[14761])).
% 72.91/46.08 tff(14763,plain,
% 72.91/46.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 72.91/46.08 inference(transitivity,[status(thm)],[14762, 14760])).
% 72.91/46.08 tff(14764,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14765,plain,
% 72.91/46.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14764, 14763])).
% 72.91/46.08 tff(14766,plain,
% 72.91/46.08 ((~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14765, 1020, 14666])).
% 72.91/46.08 tff(14767,plain,
% 72.91/46.08 (~v129(constB88, bitIndex1)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14766, 14720])).
% 72.91/46.08 tff(14768,plain,
% 72.91/46.08 (~v127(constB87, bitIndex1)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14545, 14767])).
% 72.91/46.08 tff(14769,assumption,(~v26(constB87)), introduced(assumption)).
% 72.91/46.08 tff(14770,assumption,(~v127(constB87, bitIndex2)), introduced(assumption)).
% 72.91/46.08 tff(14771,plain,
% 72.91/46.08 (v26(constB87) | (~v130(constB87, bitIndex2))),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14735, 596, 14770])).
% 72.91/46.08 tff(14772,plain,
% 72.91/46.08 (~v130(constB87, bitIndex2)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14771, 14769])).
% 72.91/46.08 tff(14773,plain,
% 72.91/46.08 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB87)) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB87)) | v130(constB87, bitIndex2))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14774,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB87)) | v130(constB87, bitIndex2))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14775,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB87)) | v130(constB87, bitIndex2)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 72.91/46.08 tff(14776,plain,
% 72.91/46.08 (~v119(constB87)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14775, 582, 14772])).
% 72.91/46.08 tff(14777,assumption,(~v127(constB87, bitIndex1)), introduced(assumption)).
% 72.91/46.08 tff(14778,plain,
% 72.91/46.08 (v26(constB87) | (~v130(constB87, bitIndex1))),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14536, 990, 14777])).
% 72.91/46.08 tff(14779,plain,
% 72.91/46.08 (~v130(constB87, bitIndex1)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14778, 14769])).
% 72.91/46.08 tff(14780,plain,
% 72.91/46.08 (~v120(constB87)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14528, 1649, 14779])).
% 72.91/46.08 tff(14781,assumption,(~v127(constB87, bitIndex0)), introduced(assumption)).
% 72.91/46.08 tff(14782,plain,
% 72.91/46.08 (v26(constB87) | (~v130(constB87, bitIndex0))),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14753, 1413, 14781])).
% 72.91/46.08 tff(14783,plain,
% 72.91/46.08 (~v130(constB87, bitIndex0)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14782, 14769])).
% 72.91/46.08 tff(14784,plain,
% 72.91/46.08 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB87)) | v130(constB87, bitIndex0))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14785,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB87)) | v130(constB87, bitIndex0))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14786,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB87)) | v130(constB87, bitIndex0)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14785, 14784])).
% 72.91/46.08 tff(14787,plain,
% 72.91/46.08 (~v124(constB87)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14786, 3911, 14783])).
% 72.91/46.08 tff(14788,plain,
% 72.91/46.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB87)) | v130(constB87, bitIndex1))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14789,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB87)) | v130(constB87, bitIndex1))),
% 72.91/46.08 inference(quant_inst,[status(thm)],[])).
% 72.91/46.08 tff(14790,plain,
% 72.91/46.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB87)) | v130(constB87, bitIndex1)),
% 72.91/46.08 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 72.91/46.08 tff(14791,plain,
% 72.91/46.08 (~v123(constB87)),
% 72.91/46.08 inference(unit_resolution,[status(thm)],[14790, 976, 14779])).
% 72.91/46.08 tff(14792,assumption,(~v121(constB87)), introduced(assumption)).
% 72.91/46.08 tff(14793,assumption,(~v122(constB87)), introduced(assumption)).
% 72.91/46.08 tff(14794,plain,
% 72.91/46.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 72.91/46.08 inference(rewrite,[status(thm)],[])).
% 72.91/46.08 tff(14795,plain,
% 72.91/46.08 ((v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0)) <=> (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14796,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87)))),
% 72.93/46.08 inference(monotonicity,[status(thm)],[14795])).
% 72.93/46.08 tff(14797,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 72.93/46.08 inference(transitivity,[status(thm)],[14796, 14794])).
% 72.93/46.08 tff(14798,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14799,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87)),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14798, 14797])).
% 72.93/46.08 tff(14800,plain,
% 72.93/46.08 (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v123(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14799, 1396, 14793, 14792])).
% 72.93/46.08 tff(14801,plain,
% 72.93/46.08 ($false),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14800, 14791, 14787, 14783, 14780, 14776])).
% 72.93/46.08 tff(14802,plain,(v26(constB87) | v122(constB87) | v121(constB87) | v127(constB87, bitIndex2) | v127(constB87, bitIndex1) | v127(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.08 tff(14803,plain,
% 72.93/46.08 (v122(constB87) | v121(constB87) | v127(constB87, bitIndex2) | v127(constB87, bitIndex1) | v127(constB87, bitIndex0)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14802, 14533])).
% 72.93/46.08 tff(14804,plain,
% 72.93/46.08 (v122(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14803, 14732, 14750, 14768, 14759])).
% 72.93/46.08 tff(14805,plain,
% 72.93/46.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14806,plain,
% 72.93/46.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14807,plain,
% 72.93/46.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2)),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 72.93/46.08 tff(14808,plain,
% 72.93/46.08 ($false),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14807, 2079, 14804, 14737])).
% 72.93/46.08 tff(14809,plain,(v90(constB88, bitIndex2) | v90(constB88, bitIndex1) | v90(constB88, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.08 tff(14810,plain,
% 72.93/46.08 (v90(constB88, bitIndex2)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14809, 14666, 14661])).
% 72.93/46.08 tff(14811,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14812,plain,
% 72.93/46.08 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2))) <=> (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14813,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2))))),
% 72.93/46.08 inference(monotonicity,[status(thm)],[14812])).
% 72.93/46.08 tff(14814,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 72.93/46.08 inference(transitivity,[status(thm)],[14813, 14811])).
% 72.93/46.08 tff(14815,plain,
% 72.93/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14816,plain,
% 72.93/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2))),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 72.93/46.08 tff(14817,plain,
% 72.93/46.08 (v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2))),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14816, 320, 14541])).
% 72.93/46.08 tff(14818,plain,
% 72.93/46.08 (v90(constB87, bitIndex2)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14817, 14652, 14810])).
% 72.93/46.08 tff(14819,plain,
% 72.93/46.08 (~v90(constB87, bitIndex0)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14696, 14652, 14661])).
% 72.93/46.08 tff(14820,plain,
% 72.93/46.08 (~v90(constB87, bitIndex1)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14688, 14652, 14666])).
% 72.93/46.08 tff(14821,assumption,(~v123(constB87)), introduced(assumption)).
% 72.93/46.08 tff(14822,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14823,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14824,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87)),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 72.93/46.08 tff(14825,plain,
% 72.93/46.08 (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2))),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14824, 829, 14821])).
% 72.93/46.08 tff(14826,plain,
% 72.93/46.08 ($false),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14825, 14820, 14819, 14818])).
% 72.93/46.08 tff(14827,plain,(v100(constB88) | v123(constB87) | v90(constB88, bitIndex1) | v90(constB88, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.08 tff(14828,plain,
% 72.93/46.08 (v90(constB88, bitIndex1)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14827, 14665, 14661, 14652])).
% 72.93/46.08 tff(14829,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14830,plain,
% 72.93/46.08 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))) <=> (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14831,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))))),
% 72.93/46.08 inference(monotonicity,[status(thm)],[14830])).
% 72.93/46.08 tff(14832,plain,
% 72.93/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 72.93/46.08 inference(transitivity,[status(thm)],[14831, 14829])).
% 72.93/46.08 tff(14833,plain,
% 72.93/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14834,plain,
% 72.93/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 72.93/46.08 tff(14835,plain,
% 72.93/46.08 (v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14834, 341, 14541])).
% 72.93/46.08 tff(14836,plain,
% 72.93/46.08 (v90(constB87, bitIndex1)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14835, 14828, 14652])).
% 72.93/46.08 tff(14837,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB87) | (~v125(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB87) | (~v125(constB87)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14838,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB87) | (~v125(constB87)))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14839,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB87) | (~v125(constB87))),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 72.93/46.08 tff(14840,plain,
% 72.93/46.08 (~v125(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14839, 1112, 14656])).
% 72.93/46.08 tff(14841,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14842,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14843,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87)),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 72.93/46.08 tff(14844,plain,
% 72.93/46.08 ((~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14843, 1101, 14819])).
% 72.93/46.08 tff(14845,plain,
% 72.93/46.08 (~v90(constB87, bitIndex2)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14844, 14836, 14840])).
% 72.93/46.08 tff(14846,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14847,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14848,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87)),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14847, 14846])).
% 72.93/46.08 tff(14849,plain,
% 72.93/46.08 ((~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14848, 1734, 14819])).
% 72.93/46.08 tff(14850,plain,
% 72.93/46.08 (v121(constB87)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14849, 14845, 14836])).
% 72.93/46.08 tff(14851,plain,
% 72.93/46.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB87) | (~v121(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB87) | (~v121(constB87)))),
% 72.93/46.08 inference(rewrite,[status(thm)],[])).
% 72.93/46.08 tff(14852,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB87) | (~v121(constB87)))),
% 72.93/46.08 inference(quant_inst,[status(thm)],[])).
% 72.93/46.08 tff(14853,plain,
% 72.93/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB87) | (~v121(constB87))),
% 72.93/46.08 inference(modus_ponens,[status(thm)],[14852, 14851])).
% 72.93/46.08 tff(14854,plain,
% 72.93/46.08 ($false),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14853, 1775, 14850, 14660])).
% 72.93/46.08 tff(14855,plain,(v100(constB88) | v90(constB88, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.08 tff(14856,plain,
% 72.93/46.08 (v100(constB88)),
% 72.93/46.08 inference(unit_resolution,[status(thm)],[14855, 14651])).
% 72.93/46.08 tff(14857,plain,
% 72.93/46.08 (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14765, 1020, 14856])).
% 72.93/46.09 tff(14858,plain,
% 72.93/46.09 (v90(constB88, bitIndex1)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14857, 14546])).
% 72.93/46.09 tff(14859,plain,
% 72.93/46.09 ((~v1(constB89)) <=> (~v1(constB89))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14860,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 72.93/46.09 tff(14861,plain,
% 72.93/46.09 (~v1(constB89)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 72.93/46.09 tff(14862,plain,
% 72.93/46.09 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14863,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 72.93/46.09 tff(14864,plain,
% 72.93/46.09 (nextState(constB88, constB89)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 72.93/46.09 tff(14865,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14866,plain,
% 72.93/46.09 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14867,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14866])).
% 72.93/46.09 tff(14868,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14867, 14865])).
% 72.93/46.09 tff(14869,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14870,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 72.93/46.09 tff(14871,plain,
% 72.93/46.09 (~v101(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14870, 288, 14864, 14861])).
% 72.93/46.09 tff(14872,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14873,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14874,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 72.93/46.09 tff(14875,plain,
% 72.93/46.09 (v101(constB89) | (~v100(constB89))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14874, 305, 14864])).
% 72.93/46.09 tff(14876,plain,
% 72.93/46.09 (~v100(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14875, 14871])).
% 72.93/46.09 tff(14877,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14878,plain,
% 72.93/46.09 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14879,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14878])).
% 72.93/46.09 tff(14880,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14879, 14877])).
% 72.93/46.09 tff(14881,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14882,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14881, 14880])).
% 72.93/46.09 tff(14883,plain,
% 72.93/46.09 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14882, 1038, 14864])).
% 72.93/46.09 tff(14884,plain,
% 72.93/46.09 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14883, 14876])).
% 72.93/46.09 tff(14885,plain,
% 72.93/46.09 (v90(constB89, bitIndex1)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14884, 14858])).
% 72.93/46.09 tff(14886,plain,
% 72.93/46.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14887,plain,
% 72.93/46.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14888,plain,
% 72.93/46.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14887, 14886])).
% 72.93/46.09 tff(14889,plain,
% 72.93/46.09 (~v130(constB87, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14888, 1587, 14525])).
% 72.93/46.09 tff(14890,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14891,plain,
% 72.93/46.09 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14892,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14891])).
% 72.93/46.09 tff(14893,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14892, 14890])).
% 72.93/46.09 tff(14894,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14895,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 72.93/46.09 tff(14896,plain,
% 72.93/46.09 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14895, 1271, 14533])).
% 72.93/46.09 tff(14897,plain,
% 72.93/46.09 (~v127(constB87, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14896, 14889])).
% 72.93/46.09 tff(14898,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14899,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14900,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14899, 14898])).
% 72.93/46.09 tff(14901,plain,
% 72.93/46.09 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14900, 1289, 14541])).
% 72.93/46.09 tff(14902,plain,
% 72.93/46.09 (~v129(constB88, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14901, 14897])).
% 72.93/46.09 tff(14903,plain,
% 72.93/46.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14904,plain,
% 72.93/46.09 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14905,plain,
% 72.93/46.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14904])).
% 72.93/46.09 tff(14906,plain,
% 72.93/46.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14905, 14903])).
% 72.93/46.09 tff(14907,plain,
% 72.93/46.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14908,plain,
% 72.93/46.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 72.93/46.09 tff(14909,plain,
% 72.93/46.09 ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14908, 1304, 14856])).
% 72.93/46.09 tff(14910,plain,
% 72.93/46.09 (~v90(constB88, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14909, 14902])).
% 72.93/46.09 tff(14911,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14912,plain,
% 72.93/46.09 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14913,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14912])).
% 72.93/46.09 tff(14914,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14913, 14911])).
% 72.93/46.09 tff(14915,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14916,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 72.93/46.09 tff(14917,plain,
% 72.93/46.09 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14916, 320, 14864])).
% 72.93/46.09 tff(14918,plain,
% 72.93/46.09 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14917, 14876])).
% 72.93/46.09 tff(14919,plain,
% 72.93/46.09 (~v90(constB89, bitIndex2)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14918, 14910])).
% 72.93/46.09 tff(14920,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14921,plain,
% 72.93/46.09 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14922,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14921])).
% 72.93/46.09 tff(14923,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14922, 14920])).
% 72.93/46.09 tff(14924,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14925,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 72.93/46.09 tff(14926,plain,
% 72.93/46.09 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14925, 362, 14864])).
% 72.93/46.09 tff(14927,plain,
% 72.93/46.09 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14926, 14876])).
% 72.93/46.09 tff(14928,plain,
% 72.93/46.09 (~v90(constB89, bitIndex0)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14927, 14651])).
% 72.93/46.09 tff(14929,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14930,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14931,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 72.93/46.09 tff(14932,plain,
% 72.93/46.09 ((~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14931, 1734, 14928])).
% 72.93/46.09 tff(14933,plain,
% 72.93/46.09 (v121(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14932, 14919, 14885])).
% 72.93/46.09 tff(14934,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14935,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14936,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14935, 14934])).
% 72.93/46.09 tff(14937,plain,
% 72.93/46.09 (v117(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14936, 1775, 14933])).
% 72.93/46.09 tff(14938,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14939,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14940,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 72.93/46.09 tff(14941,plain,
% 72.93/46.09 (v116(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14940, 416, 14937])).
% 72.93/46.09 tff(14942,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14943,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14944,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 72.93/46.09 tff(14945,plain,
% 72.93/46.09 (v115(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14944, 427, 14941])).
% 72.93/46.09 tff(14946,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14947,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14948,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 72.93/46.09 tff(14949,plain,
% 72.93/46.09 (v114(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14948, 438, 14945])).
% 72.93/46.09 tff(14950,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14951,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14952,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14951, 14950])).
% 72.93/46.09 tff(14953,plain,
% 72.93/46.09 (v113(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14952, 449, 14949])).
% 72.93/46.09 tff(14954,assumption,(v26(constB89)), introduced(assumption)).
% 72.93/46.09 tff(14955,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14956,plain,
% 72.93/46.09 ($false),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14955, 26, 14954])).
% 72.93/46.09 tff(14957,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.09 tff(14958,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14959,plain,
% 72.93/46.09 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14960,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14959])).
% 72.93/46.09 tff(14961,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14960, 14958])).
% 72.93/46.09 tff(14962,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14963,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 72.93/46.09 tff(14964,plain,
% 72.93/46.09 (v112(constB89) | (~v113(constB89))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14963, 463, 14957])).
% 72.93/46.09 tff(14965,plain,
% 72.93/46.09 (v112(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14964, 14953])).
% 72.93/46.09 tff(14966,plain,
% 72.93/46.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14967,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14968,plain,
% 72.93/46.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14967, 14966])).
% 72.93/46.09 tff(14969,plain,
% 72.93/46.09 (v108(constB89)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14968, 475, 14965])).
% 72.93/46.09 tff(14970,plain,
% 72.93/46.09 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14971,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 72.93/46.09 tff(14972,plain,
% 72.93/46.09 (nextState(constB89, constB90)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14971, 14970])).
% 72.93/46.09 tff(14973,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14974,plain,
% 72.93/46.09 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14975,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14974])).
% 72.93/46.09 tff(14976,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14975, 14973])).
% 72.93/46.09 tff(14977,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14978,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 72.93/46.09 tff(14979,plain,
% 72.93/46.09 (v110(constB90) | (~v108(constB89))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14978, 492, 14972])).
% 72.93/46.09 tff(14980,plain,
% 72.93/46.09 (v110(constB90)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14979, 14969])).
% 72.93/46.09 tff(14981,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14982,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14983,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 72.93/46.09 tff(14984,plain,
% 72.93/46.09 (~v104(constB90)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14983, 510, 14972, 14861])).
% 72.93/46.09 tff(14985,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14986,plain,
% 72.93/46.09 (((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14987,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14986])).
% 72.93/46.09 tff(14988,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14987, 14985])).
% 72.93/46.09 tff(14989,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(14990,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 72.93/46.09 tff(14991,plain,
% 72.93/46.09 (v104(constB90) | v102(constB90)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14990, 524, 14972])).
% 72.93/46.09 tff(14992,plain,
% 72.93/46.09 (v102(constB90)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[14991, 14984])).
% 72.93/46.09 tff(14993,plain,
% 72.93/46.09 (v1(constB90) <=> v1(constB90)),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14994,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 72.93/46.09 tff(14995,plain,
% 72.93/46.09 (v1(constB90)),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 72.93/46.09 tff(14996,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14997,plain,
% 72.93/46.09 (((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))) <=> ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 72.93/46.09 inference(rewrite,[status(thm)],[])).
% 72.93/46.09 tff(14998,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))))),
% 72.93/46.09 inference(monotonicity,[status(thm)],[14997])).
% 72.93/46.09 tff(14999,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 72.93/46.09 inference(transitivity,[status(thm)],[14998, 14996])).
% 72.93/46.09 tff(15000,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 72.93/46.09 inference(quant_inst,[status(thm)],[])).
% 72.93/46.09 tff(15001,plain,
% 72.93/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))),
% 72.93/46.09 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 72.93/46.09 tff(15002,plain,
% 72.93/46.09 (v101(constB90) | (~v102(constB90))),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[15001, 545, 14972, 14995])).
% 72.93/46.09 tff(15003,plain,
% 72.93/46.09 (v101(constB90)),
% 72.93/46.09 inference(unit_resolution,[status(thm)],[15002, 14992])).
% 72.93/46.09 tff(15004,plain,
% 72.93/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15005,plain,
% 72.93/46.10 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15006,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15005])).
% 72.93/46.10 tff(15007,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15006, 15004])).
% 72.93/46.10 tff(15008,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15009,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 72.93/46.10 tff(15010,plain,
% 72.93/46.10 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15009, 563, 14972])).
% 72.93/46.10 tff(15011,plain,
% 72.93/46.10 (v100(constB90) | (~v110(constB90))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15010, 15003])).
% 72.93/46.10 tff(15012,plain,
% 72.93/46.10 (v100(constB90)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15011, 14980])).
% 72.93/46.10 tff(15013,plain,
% 72.93/46.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15014,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15015,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 72.93/46.10 tff(15016,plain,
% 72.93/46.10 (~v130(constB89, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15015, 1748, 14933])).
% 72.93/46.10 tff(15017,plain,
% 72.93/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15018,plain,
% 72.93/46.10 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15019,plain,
% 72.93/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15018])).
% 72.93/46.10 tff(15020,plain,
% 72.93/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15019, 15017])).
% 72.93/46.10 tff(15021,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15022,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 72.93/46.10 tff(15023,plain,
% 72.93/46.10 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15022, 1271, 14957])).
% 72.93/46.10 tff(15024,plain,
% 72.93/46.10 (~v127(constB89, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15023, 15016])).
% 72.93/46.10 tff(15025,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15026,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15027,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 72.93/46.10 tff(15028,plain,
% 72.93/46.10 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15027, 1289, 14972])).
% 72.93/46.10 tff(15029,plain,
% 72.93/46.10 (~v129(constB90, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15028, 15024])).
% 72.93/46.10 tff(15030,plain,
% 72.93/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15031,plain,
% 72.93/46.10 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15032,plain,
% 72.93/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15031])).
% 72.93/46.10 tff(15033,plain,
% 72.93/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15032, 15030])).
% 72.93/46.10 tff(15034,plain,
% 72.93/46.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15035,plain,
% 72.93/46.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15034, 15033])).
% 72.93/46.10 tff(15036,plain,
% 72.93/46.10 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15035, 1304, 15029])).
% 72.93/46.10 tff(15037,plain,
% 72.93/46.10 (~v90(constB90, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15036, 15012])).
% 72.93/46.10 tff(15038,plain,
% 72.93/46.10 ((~v1(constB91)) <=> (~v1(constB91))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15039,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 72.93/46.10 tff(15040,plain,
% 72.93/46.10 (~v1(constB91)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 72.93/46.10 tff(15041,plain,
% 72.93/46.10 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15042,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 72.93/46.10 tff(15043,plain,
% 72.93/46.10 (nextState(constB90, constB91)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 72.93/46.10 tff(15044,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15045,plain,
% 72.93/46.10 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15046,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15045])).
% 72.93/46.10 tff(15047,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15046, 15044])).
% 72.93/46.10 tff(15048,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15049,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 72.93/46.10 tff(15050,plain,
% 72.93/46.10 (~v101(constB91)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15049, 288, 15043, 15040])).
% 72.93/46.10 tff(15051,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15052,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15053,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 72.93/46.10 tff(15054,plain,
% 72.93/46.10 (v101(constB91) | (~v100(constB91))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15053, 305, 15043])).
% 72.93/46.10 tff(15055,plain,
% 72.93/46.10 (~v100(constB91)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15054, 15050])).
% 72.93/46.10 tff(15056,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15057,plain,
% 72.93/46.10 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15058,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15057])).
% 72.93/46.10 tff(15059,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15058, 15056])).
% 72.93/46.10 tff(15060,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15061,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 72.93/46.10 tff(15062,plain,
% 72.93/46.10 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15061, 320, 15043])).
% 72.93/46.10 tff(15063,plain,
% 72.93/46.10 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15062, 15055])).
% 72.93/46.10 tff(15064,plain,
% 72.93/46.10 (~v90(constB91, bitIndex2)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15063, 15037])).
% 72.93/46.10 tff(15065,plain,
% 72.93/46.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15066,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15067,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 72.93/46.10 tff(15068,plain,
% 72.93/46.10 (v130(constB89, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15067, 1904, 14933])).
% 72.93/46.10 tff(15069,plain,
% 72.93/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15070,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15071,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15070, 15069])).
% 72.93/46.10 tff(15072,plain,
% 72.93/46.10 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15071, 990, 14957])).
% 72.93/46.10 tff(15073,plain,
% 72.93/46.10 (v127(constB89, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15072, 15068])).
% 72.93/46.10 tff(15074,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15075,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15076,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 72.93/46.10 tff(15077,plain,
% 72.93/46.10 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15076, 1005, 14972])).
% 72.93/46.10 tff(15078,plain,
% 72.93/46.10 (v129(constB90, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15077, 15073])).
% 72.93/46.10 tff(15079,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15080,plain,
% 72.93/46.10 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15081,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15080])).
% 72.93/46.10 tff(15082,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15081, 15079])).
% 72.93/46.10 tff(15083,plain,
% 72.93/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15084,plain,
% 72.93/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 72.93/46.10 tff(15085,plain,
% 72.93/46.10 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15084, 1020, 15078])).
% 72.93/46.10 tff(15086,plain,
% 72.93/46.10 (v90(constB90, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15085, 15012])).
% 72.93/46.10 tff(15087,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15088,plain,
% 72.93/46.10 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15089,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15088])).
% 72.93/46.10 tff(15090,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15089, 15087])).
% 72.93/46.10 tff(15091,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15092,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15091, 15090])).
% 72.93/46.10 tff(15093,plain,
% 72.93/46.10 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15092, 1038, 15043])).
% 72.93/46.10 tff(15094,plain,
% 72.93/46.10 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15093, 15055])).
% 72.93/46.10 tff(15095,plain,
% 72.93/46.10 (v90(constB91, bitIndex1)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15094, 15086])).
% 72.93/46.10 tff(15096,plain,
% 72.93/46.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15097,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15098,plain,
% 72.93/46.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 72.93/46.10 tff(15099,plain,
% 72.93/46.10 (v130(constB89, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15098, 1945, 14933])).
% 72.93/46.10 tff(15100,plain,
% 72.93/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15101,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15102,plain,
% 72.93/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 72.93/46.10 tff(15103,plain,
% 72.93/46.10 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15102, 1413, 14957])).
% 72.93/46.10 tff(15104,plain,
% 72.93/46.10 (v127(constB89, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15103, 15099])).
% 72.93/46.10 tff(15105,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15106,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15107,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 72.93/46.10 tff(15108,plain,
% 72.93/46.10 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15107, 1428, 14972])).
% 72.93/46.10 tff(15109,plain,
% 72.93/46.10 (v129(constB90, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15108, 15104])).
% 72.93/46.10 tff(15110,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15111,plain,
% 72.93/46.10 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15112,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15111])).
% 72.93/46.10 tff(15113,plain,
% 72.93/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15112, 15110])).
% 72.93/46.10 tff(15114,plain,
% 72.93/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15115,plain,
% 72.93/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 72.93/46.10 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 72.93/46.10 tff(15116,plain,
% 72.93/46.10 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15115, 1443, 15109])).
% 72.93/46.10 tff(15117,plain,
% 72.93/46.10 (v90(constB90, bitIndex0)),
% 72.93/46.10 inference(unit_resolution,[status(thm)],[15116, 15012])).
% 72.93/46.10 tff(15118,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15119,plain,
% 72.93/46.10 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 72.93/46.10 inference(rewrite,[status(thm)],[])).
% 72.93/46.10 tff(15120,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 72.93/46.10 inference(monotonicity,[status(thm)],[15119])).
% 72.93/46.10 tff(15121,plain,
% 72.93/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 72.93/46.10 inference(transitivity,[status(thm)],[15120, 15118])).
% 72.93/46.10 tff(15122,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 72.93/46.10 inference(quant_inst,[status(thm)],[])).
% 72.93/46.10 tff(15123,plain,
% 72.93/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 72.93/46.11 tff(15124,plain,
% 72.93/46.11 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15123, 1461, 15043])).
% 72.93/46.11 tff(15125,plain,
% 72.93/46.11 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15124, 15055])).
% 72.93/46.11 tff(15126,plain,
% 72.93/46.11 (v90(constB91, bitIndex0)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15125, 15117])).
% 72.93/46.11 tff(15127,plain,
% 72.93/46.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15128,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15129,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 72.93/46.11 tff(15130,plain,
% 72.93/46.11 (v122(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15129, 1986, 15126, 15095, 15064])).
% 72.93/46.11 tff(15131,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15132,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15133,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 72.93/46.11 tff(15134,plain,
% 72.93/46.11 (v116(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15133, 1997, 15130])).
% 72.93/46.11 tff(15135,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15136,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15137,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 72.93/46.11 tff(15138,plain,
% 72.93/46.11 (v115(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15137, 427, 15134])).
% 72.93/46.11 tff(15139,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15140,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15141,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 72.93/46.11 tff(15142,plain,
% 72.93/46.11 (v114(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15141, 438, 15138])).
% 72.93/46.11 tff(15143,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15144,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15145,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 72.93/46.11 tff(15146,plain,
% 72.93/46.11 (v113(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15145, 449, 15142])).
% 72.93/46.11 tff(15147,assumption,(v26(constB91)), introduced(assumption)).
% 72.93/46.11 tff(15148,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15149,plain,
% 72.93/46.11 ($false),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15148, 26, 15147])).
% 72.93/46.11 tff(15150,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 72.93/46.11 tff(15151,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15152,plain,
% 72.93/46.11 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15153,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15152])).
% 72.93/46.11 tff(15154,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15153, 15151])).
% 72.93/46.11 tff(15155,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15156,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 72.93/46.11 tff(15157,plain,
% 72.93/46.11 (v112(constB91) | (~v113(constB91))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15156, 463, 15150])).
% 72.93/46.11 tff(15158,plain,
% 72.93/46.11 (v112(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15157, 15146])).
% 72.93/46.11 tff(15159,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15160,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15161,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 72.93/46.11 tff(15162,plain,
% 72.93/46.11 (v108(constB91)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15161, 475, 15158])).
% 72.93/46.11 tff(15163,plain,
% 72.93/46.11 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15164,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 72.93/46.11 tff(15165,plain,
% 72.93/46.11 (nextState(constB91, constB92)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 72.93/46.11 tff(15166,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15167,plain,
% 72.93/46.11 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15168,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15167])).
% 72.93/46.11 tff(15169,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15168, 15166])).
% 72.93/46.11 tff(15170,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15171,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 72.93/46.11 tff(15172,plain,
% 72.93/46.11 (v110(constB92) | (~v108(constB91))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15171, 492, 15165])).
% 72.93/46.11 tff(15173,plain,
% 72.93/46.11 (v110(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15172, 15162])).
% 72.93/46.11 tff(15174,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15175,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15176,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 72.93/46.11 tff(15177,plain,
% 72.93/46.11 (~v104(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15176, 510, 15165, 15040])).
% 72.93/46.11 tff(15178,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15179,plain,
% 72.93/46.11 (((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15180,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15179])).
% 72.93/46.11 tff(15181,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15180, 15178])).
% 72.93/46.11 tff(15182,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15183,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 72.93/46.11 tff(15184,plain,
% 72.93/46.11 (v104(constB92) | v102(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15183, 524, 15165])).
% 72.93/46.11 tff(15185,plain,
% 72.93/46.11 (v102(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15184, 15177])).
% 72.93/46.11 tff(15186,plain,
% 72.93/46.11 (v1(constB92) <=> v1(constB92)),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15187,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 72.93/46.11 tff(15188,plain,
% 72.93/46.11 (v1(constB92)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 72.93/46.11 tff(15189,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15190,plain,
% 72.93/46.11 (((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))) <=> ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15191,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15190])).
% 72.93/46.11 tff(15192,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15191, 15189])).
% 72.93/46.11 tff(15193,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15194,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15193, 15192])).
% 72.93/46.11 tff(15195,plain,
% 72.93/46.11 (v101(constB92) | (~v102(constB92))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15194, 545, 15165, 15188])).
% 72.93/46.11 tff(15196,plain,
% 72.93/46.11 (v101(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15195, 15185])).
% 72.93/46.11 tff(15197,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15198,plain,
% 72.93/46.11 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15199,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15198])).
% 72.93/46.11 tff(15200,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15199, 15197])).
% 72.93/46.11 tff(15201,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15202,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15201, 15200])).
% 72.93/46.11 tff(15203,plain,
% 72.93/46.11 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15202, 563, 15165])).
% 72.93/46.11 tff(15204,plain,
% 72.93/46.11 (v100(constB92) | (~v110(constB92))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15203, 15196])).
% 72.93/46.11 tff(15205,plain,
% 72.93/46.11 (v100(constB92)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15204, 15173])).
% 72.93/46.11 tff(15206,plain,
% 72.93/46.11 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15207,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15208,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 72.93/46.11 tff(15209,plain,
% 72.93/46.11 (v130(constB91, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15208, 2079, 15130])).
% 72.93/46.11 tff(15210,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15211,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15212,plain,
% 72.93/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 72.93/46.11 tff(15213,plain,
% 72.93/46.11 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15212, 596, 15150])).
% 72.93/46.11 tff(15214,plain,
% 72.93/46.11 (v127(constB91, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15213, 15209])).
% 72.93/46.11 tff(15215,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15216,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15217,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 72.93/46.11 tff(15218,plain,
% 72.93/46.11 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15217, 611, 15165])).
% 72.93/46.11 tff(15219,plain,
% 72.93/46.11 (v129(constB92, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15218, 15214])).
% 72.93/46.11 tff(15220,plain,
% 72.93/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15221,plain,
% 72.93/46.11 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15222,plain,
% 72.93/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15221])).
% 72.93/46.11 tff(15223,plain,
% 72.93/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15222, 15220])).
% 72.93/46.11 tff(15224,plain,
% 72.93/46.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15225,plain,
% 72.93/46.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 72.93/46.11 tff(15226,plain,
% 72.93/46.11 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15225, 626, 15219])).
% 72.93/46.11 tff(15227,plain,
% 72.93/46.11 (v90(constB92, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15226, 15205])).
% 72.93/46.11 tff(15228,plain,
% 72.93/46.11 ((~v1(constB93)) <=> (~v1(constB93))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15229,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 72.93/46.11 tff(15230,plain,
% 72.93/46.11 (~v1(constB93)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 72.93/46.11 tff(15231,plain,
% 72.93/46.11 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15232,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 72.93/46.11 tff(15233,plain,
% 72.93/46.11 (nextState(constB92, constB93)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 72.93/46.11 tff(15234,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15235,plain,
% 72.93/46.11 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15236,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15235])).
% 72.93/46.11 tff(15237,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15236, 15234])).
% 72.93/46.11 tff(15238,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15239,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15238, 15237])).
% 72.93/46.11 tff(15240,plain,
% 72.93/46.11 (~v101(constB93)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15239, 288, 15233, 15230])).
% 72.93/46.11 tff(15241,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15242,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15243,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 72.93/46.11 tff(15244,plain,
% 72.93/46.11 (v101(constB93) | (~v100(constB93))),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15243, 305, 15233])).
% 72.93/46.11 tff(15245,plain,
% 72.93/46.11 (~v100(constB93)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15244, 15240])).
% 72.93/46.11 tff(15246,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15247,plain,
% 72.93/46.11 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15248,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 72.93/46.11 inference(monotonicity,[status(thm)],[15247])).
% 72.93/46.11 tff(15249,plain,
% 72.93/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 72.93/46.11 inference(transitivity,[status(thm)],[15248, 15246])).
% 72.93/46.11 tff(15250,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15251,plain,
% 72.93/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15250, 15249])).
% 72.93/46.11 tff(15252,plain,
% 72.93/46.11 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15251, 662, 15233])).
% 72.93/46.11 tff(15253,plain,
% 72.93/46.11 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15252, 15245])).
% 72.93/46.11 tff(15254,plain,
% 72.93/46.11 (v90(constB93, bitIndex2)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15253, 15227])).
% 72.93/46.11 tff(15255,plain,
% 72.93/46.11 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.93/46.11 tff(15256,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 72.93/46.11 inference(quant_inst,[status(thm)],[])).
% 72.93/46.11 tff(15257,plain,
% 72.93/46.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 72.93/46.11 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 72.93/46.11 tff(15258,plain,
% 72.93/46.11 (~v130(constB91, bitIndex1)),
% 72.93/46.11 inference(unit_resolution,[status(thm)],[15257, 2138, 15130])).
% 72.93/46.11 tff(15259,plain,
% 72.93/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 72.93/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15260,plain,
% 72.96/46.11 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 72.96/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15261,plain,
% 72.96/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 72.96/46.11 inference(monotonicity,[status(thm)],[15260])).
% 72.96/46.11 tff(15262,plain,
% 72.96/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 72.96/46.11 inference(transitivity,[status(thm)],[15261, 15259])).
% 72.96/46.11 tff(15263,plain,
% 72.96/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 72.96/46.11 inference(quant_inst,[status(thm)],[])).
% 72.96/46.11 tff(15264,plain,
% 72.96/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 72.96/46.11 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 72.96/46.11 tff(15265,plain,
% 72.96/46.11 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15264, 695, 15150])).
% 72.96/46.11 tff(15266,plain,
% 72.96/46.11 (~v127(constB91, bitIndex1)),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15265, 15258])).
% 72.96/46.11 tff(15267,plain,
% 72.96/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 72.96/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15268,plain,
% 72.96/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 72.96/46.11 inference(quant_inst,[status(thm)],[])).
% 72.96/46.11 tff(15269,plain,
% 72.96/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 72.96/46.11 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 72.96/46.11 tff(15270,plain,
% 72.96/46.11 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15269, 713, 15165])).
% 72.96/46.11 tff(15271,plain,
% 72.96/46.11 (~v129(constB92, bitIndex1)),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15270, 15266])).
% 72.96/46.11 tff(15272,plain,
% 72.96/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 72.96/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15273,plain,
% 72.96/46.11 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 72.96/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15274,plain,
% 72.96/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 72.96/46.11 inference(monotonicity,[status(thm)],[15273])).
% 72.96/46.11 tff(15275,plain,
% 72.96/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 72.96/46.11 inference(transitivity,[status(thm)],[15274, 15272])).
% 72.96/46.11 tff(15276,plain,
% 72.96/46.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 72.96/46.11 inference(quant_inst,[status(thm)],[])).
% 72.96/46.11 tff(15277,plain,
% 72.96/46.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 72.96/46.11 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 72.96/46.11 tff(15278,plain,
% 72.96/46.11 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15277, 728, 15271])).
% 72.96/46.11 tff(15279,plain,
% 72.96/46.11 (~v90(constB92, bitIndex1)),
% 72.96/46.11 inference(unit_resolution,[status(thm)],[15278, 15205])).
% 72.96/46.11 tff(15280,plain,
% 72.96/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 72.96/46.11 inference(rewrite,[status(thm)],[])).
% 72.96/46.11 tff(15281,plain,
% 72.96/46.11 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15282,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15281])).
% 72.96/46.12 tff(15283,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15282, 15280])).
% 72.96/46.12 tff(15284,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15285,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 72.96/46.12 tff(15286,plain,
% 72.96/46.12 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15285, 341, 15233])).
% 72.96/46.12 tff(15287,plain,
% 72.96/46.12 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15286, 15245])).
% 72.96/46.12 tff(15288,plain,
% 72.96/46.12 (~v90(constB93, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15287, 15279])).
% 72.96/46.12 tff(15289,plain,
% 72.96/46.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15290,plain,
% 72.96/46.12 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15291,plain,
% 72.96/46.12 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15290, 15289])).
% 72.96/46.12 tff(15292,plain,
% 72.96/46.12 (~v130(constB91, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15291, 2182, 15130])).
% 72.96/46.12 tff(15293,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15294,plain,
% 72.96/46.12 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15295,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15294])).
% 72.96/46.12 tff(15296,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15295, 15293])).
% 72.96/46.12 tff(15297,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15298,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 72.96/46.12 tff(15299,plain,
% 72.96/46.12 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15298, 769, 15150])).
% 72.96/46.12 tff(15300,plain,
% 72.96/46.12 (~v127(constB91, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15299, 15292])).
% 72.96/46.12 tff(15301,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15302,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15303,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 72.96/46.12 tff(15304,plain,
% 72.96/46.12 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15303, 787, 15165])).
% 72.96/46.12 tff(15305,plain,
% 72.96/46.12 (~v129(constB92, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15304, 15300])).
% 72.96/46.12 tff(15306,plain,
% 72.96/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15307,plain,
% 72.96/46.12 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15308,plain,
% 72.96/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15307])).
% 72.96/46.12 tff(15309,plain,
% 72.96/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15308, 15306])).
% 72.96/46.12 tff(15310,plain,
% 72.96/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15311,plain,
% 72.96/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15310, 15309])).
% 72.96/46.12 tff(15312,plain,
% 72.96/46.12 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15311, 802, 15305])).
% 72.96/46.12 tff(15313,plain,
% 72.96/46.12 (~v90(constB92, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15312, 15205])).
% 72.96/46.12 tff(15314,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15315,plain,
% 72.96/46.12 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15316,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15315])).
% 72.96/46.12 tff(15317,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15316, 15314])).
% 72.96/46.12 tff(15318,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15319,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15318, 15317])).
% 72.96/46.12 tff(15320,plain,
% 72.96/46.12 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15319, 362, 15233])).
% 72.96/46.12 tff(15321,plain,
% 72.96/46.12 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15320, 15245])).
% 72.96/46.12 tff(15322,plain,
% 72.96/46.12 (~v90(constB93, bitIndex0)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15321, 15313])).
% 72.96/46.12 tff(15323,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15324,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15325,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 72.96/46.12 tff(15326,plain,
% 72.96/46.12 (v123(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15325, 829, 15322, 15288, 15254])).
% 72.96/46.12 tff(15327,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15328,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15329,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 72.96/46.12 tff(15330,plain,
% 72.96/46.12 (v115(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15329, 840, 15326])).
% 72.96/46.12 tff(15331,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15332,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15333,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 72.96/46.12 tff(15334,plain,
% 72.96/46.12 (v114(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15333, 438, 15330])).
% 72.96/46.12 tff(15335,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15336,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15337,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15336, 15335])).
% 72.96/46.12 tff(15338,plain,
% 72.96/46.12 (v113(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15337, 449, 15334])).
% 72.96/46.12 tff(15339,assumption,(v26(constB93)), introduced(assumption)).
% 72.96/46.12 tff(15340,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15341,plain,
% 72.96/46.12 ($false),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15340, 26, 15339])).
% 72.96/46.12 tff(15342,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 72.96/46.12 tff(15343,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15344,plain,
% 72.96/46.12 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15345,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15344])).
% 72.96/46.12 tff(15346,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15345, 15343])).
% 72.96/46.12 tff(15347,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15348,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 72.96/46.12 tff(15349,plain,
% 72.96/46.12 (v112(constB93) | (~v113(constB93))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15348, 463, 15342])).
% 72.96/46.12 tff(15350,plain,
% 72.96/46.12 (v112(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15349, 15338])).
% 72.96/46.12 tff(15351,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15352,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15353,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15352, 15351])).
% 72.96/46.12 tff(15354,plain,
% 72.96/46.12 (v108(constB93)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15353, 475, 15350])).
% 72.96/46.12 tff(15355,plain,
% 72.96/46.12 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15356,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 72.96/46.12 tff(15357,plain,
% 72.96/46.12 (nextState(constB93, constB94)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 72.96/46.12 tff(15358,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15359,plain,
% 72.96/46.12 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15360,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15359])).
% 72.96/46.12 tff(15361,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15360, 15358])).
% 72.96/46.12 tff(15362,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15363,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15362, 15361])).
% 72.96/46.12 tff(15364,plain,
% 72.96/46.12 (v110(constB94) | (~v108(constB93))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15363, 492, 15357])).
% 72.96/46.12 tff(15365,plain,
% 72.96/46.12 (v110(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15364, 15354])).
% 72.96/46.12 tff(15366,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15367,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15368,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 72.96/46.12 tff(15369,plain,
% 72.96/46.12 (~v104(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15368, 510, 15357, 15230])).
% 72.96/46.12 tff(15370,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15371,plain,
% 72.96/46.12 (((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15372,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15371])).
% 72.96/46.12 tff(15373,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15372, 15370])).
% 72.96/46.12 tff(15374,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15375,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 72.96/46.12 tff(15376,plain,
% 72.96/46.12 (v104(constB94) | v102(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15375, 524, 15357])).
% 72.96/46.12 tff(15377,plain,
% 72.96/46.12 (v102(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15376, 15369])).
% 72.96/46.12 tff(15378,plain,
% 72.96/46.12 (v1(constB94) <=> v1(constB94)),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15379,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 72.96/46.12 tff(15380,plain,
% 72.96/46.12 (v1(constB94)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15379, 15378])).
% 72.96/46.12 tff(15381,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15382,plain,
% 72.96/46.12 (((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))) <=> ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15383,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15382])).
% 72.96/46.12 tff(15384,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15383, 15381])).
% 72.96/46.12 tff(15385,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15386,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 72.96/46.12 tff(15387,plain,
% 72.96/46.12 (v101(constB94) | (~v102(constB94))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15386, 545, 15357, 15380])).
% 72.96/46.12 tff(15388,plain,
% 72.96/46.12 (v101(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15387, 15377])).
% 72.96/46.12 tff(15389,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15390,plain,
% 72.96/46.12 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15391,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15390])).
% 72.96/46.12 tff(15392,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15391, 15389])).
% 72.96/46.12 tff(15393,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15394,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15393, 15392])).
% 72.96/46.12 tff(15395,plain,
% 72.96/46.12 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15394, 563, 15357])).
% 72.96/46.12 tff(15396,plain,
% 72.96/46.12 (v100(constB94) | (~v110(constB94))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15395, 15388])).
% 72.96/46.12 tff(15397,plain,
% 72.96/46.12 (v100(constB94)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15396, 15365])).
% 72.96/46.12 tff(15398,plain,
% 72.96/46.12 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15399,plain,
% 72.96/46.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15400,plain,
% 72.96/46.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 72.96/46.12 tff(15401,plain,
% 72.96/46.12 (v130(constB93, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15400, 976, 15326])).
% 72.96/46.12 tff(15402,plain,
% 72.96/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15403,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15404,plain,
% 72.96/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 72.96/46.12 tff(15405,plain,
% 72.96/46.12 ((~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15404, 990, 15342])).
% 72.96/46.12 tff(15406,plain,
% 72.96/46.12 (v127(constB93, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15405, 15401])).
% 72.96/46.12 tff(15407,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15408,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15409,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15408, 15407])).
% 72.96/46.12 tff(15410,plain,
% 72.96/46.12 ((~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15409, 1005, 15357])).
% 72.96/46.12 tff(15411,plain,
% 72.96/46.12 (v129(constB94, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15410, 15406])).
% 72.96/46.12 tff(15412,plain,
% 72.96/46.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15413,plain,
% 72.96/46.12 ((v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15414,plain,
% 72.96/46.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15413])).
% 72.96/46.12 tff(15415,plain,
% 72.96/46.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15414, 15412])).
% 72.96/46.12 tff(15416,plain,
% 72.96/46.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15417,plain,
% 72.96/46.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15416, 15415])).
% 72.96/46.12 tff(15418,plain,
% 72.96/46.12 (v90(constB94, bitIndex1) | (~v100(constB94))),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15417, 1020, 15411])).
% 72.96/46.12 tff(15419,plain,
% 72.96/46.12 (v90(constB94, bitIndex1)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15418, 15397])).
% 72.96/46.12 tff(15420,plain,
% 72.96/46.12 ((~v1(constB95)) <=> (~v1(constB95))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15421,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 72.96/46.12 tff(15422,plain,
% 72.96/46.12 (~v1(constB95)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 72.96/46.12 tff(15423,plain,
% 72.96/46.12 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15424,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 72.96/46.12 tff(15425,plain,
% 72.96/46.12 (nextState(constB94, constB95)),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 72.96/46.12 tff(15426,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15427,plain,
% 72.96/46.12 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15428,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 72.96/46.12 inference(monotonicity,[status(thm)],[15427])).
% 72.96/46.12 tff(15429,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 72.96/46.12 inference(transitivity,[status(thm)],[15428, 15426])).
% 72.96/46.12 tff(15430,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15431,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 72.96/46.12 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 72.96/46.12 tff(15432,plain,
% 72.96/46.12 (~v101(constB95)),
% 72.96/46.12 inference(unit_resolution,[status(thm)],[15431, 288, 15425, 15422])).
% 72.96/46.12 tff(15433,plain,
% 72.96/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 72.96/46.12 inference(rewrite,[status(thm)],[])).
% 72.96/46.12 tff(15434,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 72.96/46.12 inference(quant_inst,[status(thm)],[])).
% 72.96/46.12 tff(15435,plain,
% 72.96/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 72.96/46.13 tff(15436,plain,
% 72.96/46.13 (v101(constB95) | (~v100(constB95))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15435, 305, 15425])).
% 72.96/46.13 tff(15437,plain,
% 72.96/46.13 (~v100(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15436, 15432])).
% 72.96/46.13 tff(15438,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15439,plain,
% 72.96/46.13 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15440,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15439])).
% 72.96/46.13 tff(15441,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15440, 15438])).
% 72.96/46.13 tff(15442,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15443,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15442, 15441])).
% 72.96/46.13 tff(15444,plain,
% 72.96/46.13 ((~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15443, 1038, 15425])).
% 72.96/46.13 tff(15445,plain,
% 72.96/46.13 ((~v90(constB94, bitIndex1)) | v90(constB95, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15444, 15437])).
% 72.96/46.13 tff(15446,plain,
% 72.96/46.13 (v90(constB95, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15445, 15419])).
% 72.96/46.13 tff(15447,plain,
% 72.96/46.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15448,plain,
% 72.96/46.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15449,plain,
% 72.96/46.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 72.96/46.13 tff(15450,plain,
% 72.96/46.13 (v130(constB93, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15449, 917, 15326])).
% 72.96/46.13 tff(15451,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15452,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15453,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 72.96/46.13 tff(15454,plain,
% 72.96/46.13 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15453, 596, 15342])).
% 72.96/46.13 tff(15455,plain,
% 72.96/46.13 (v127(constB93, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15454, 15450])).
% 72.96/46.13 tff(15456,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15457,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15458,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 72.96/46.13 tff(15459,plain,
% 72.96/46.13 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15458, 611, 15357])).
% 72.96/46.13 tff(15460,plain,
% 72.96/46.13 (v129(constB94, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15459, 15455])).
% 72.96/46.13 tff(15461,plain,
% 72.96/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15462,plain,
% 72.96/46.13 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15463,plain,
% 72.96/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15462])).
% 72.96/46.13 tff(15464,plain,
% 72.96/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15463, 15461])).
% 72.96/46.13 tff(15465,plain,
% 72.96/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15466,plain,
% 72.96/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 72.96/46.13 tff(15467,plain,
% 72.96/46.13 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15466, 626, 15460])).
% 72.96/46.13 tff(15468,plain,
% 72.96/46.13 (v90(constB94, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15467, 15397])).
% 72.96/46.13 tff(15469,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15470,plain,
% 72.96/46.13 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15471,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15470])).
% 72.96/46.13 tff(15472,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15471, 15469])).
% 72.96/46.13 tff(15473,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15474,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15473, 15472])).
% 72.96/46.13 tff(15475,plain,
% 72.96/46.13 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15474, 662, 15425])).
% 72.96/46.13 tff(15476,plain,
% 72.96/46.13 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15475, 15437])).
% 72.96/46.13 tff(15477,plain,
% 72.96/46.13 (v90(constB95, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15476, 15468])).
% 72.96/46.13 tff(15478,assumption,(v122(constB91)), introduced(assumption)).
% 72.96/46.13 tff(15479,plain,
% 72.96/46.13 (v116(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15133, 1997, 15478])).
% 72.96/46.13 tff(15480,plain,
% 72.96/46.13 (v115(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15137, 427, 15479])).
% 72.96/46.13 tff(15481,plain,
% 72.96/46.13 (v114(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15141, 438, 15480])).
% 72.96/46.13 tff(15482,plain,
% 72.96/46.13 (v113(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15145, 449, 15481])).
% 72.96/46.13 tff(15483,plain,
% 72.96/46.13 (v112(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15157, 15482])).
% 72.96/46.13 tff(15484,plain,
% 72.96/46.13 (v108(constB91)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15161, 475, 15483])).
% 72.96/46.13 tff(15485,plain,
% 72.96/46.13 (v110(constB92)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15172, 15484])).
% 72.96/46.13 tff(15486,plain,
% 72.96/46.13 (v100(constB92)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15204, 15485])).
% 72.96/46.13 tff(15487,plain,
% 72.96/46.13 (v130(constB91, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15208, 2079, 15478])).
% 72.96/46.13 tff(15488,plain,
% 72.96/46.13 (v127(constB91, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15213, 15487])).
% 72.96/46.13 tff(15489,plain,
% 72.96/46.13 (v129(constB92, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15218, 15488])).
% 72.96/46.13 tff(15490,plain,
% 72.96/46.13 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15225, 626, 15489])).
% 72.96/46.13 tff(15491,plain,
% 72.96/46.13 (v90(constB92, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15490, 15486])).
% 72.96/46.13 tff(15492,plain,
% 72.96/46.13 (v90(constB93, bitIndex2)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15253, 15491])).
% 72.96/46.13 tff(15493,plain,
% 72.96/46.13 (~v130(constB91, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15257, 2138, 15478])).
% 72.96/46.13 tff(15494,plain,
% 72.96/46.13 (~v127(constB91, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15265, 15493])).
% 72.96/46.13 tff(15495,plain,
% 72.96/46.13 (~v129(constB92, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15270, 15494])).
% 72.96/46.13 tff(15496,plain,
% 72.96/46.13 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15277, 728, 15495])).
% 72.96/46.13 tff(15497,plain,
% 72.96/46.13 (~v90(constB92, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15496, 15486])).
% 72.96/46.13 tff(15498,plain,
% 72.96/46.13 (~v90(constB93, bitIndex1)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15287, 15497])).
% 72.96/46.13 tff(15499,plain,
% 72.96/46.13 (~v130(constB91, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15291, 2182, 15478])).
% 72.96/46.13 tff(15500,plain,
% 72.96/46.13 (~v127(constB91, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15299, 15499])).
% 72.96/46.13 tff(15501,plain,
% 72.96/46.13 (~v129(constB92, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15304, 15500])).
% 72.96/46.13 tff(15502,plain,
% 72.96/46.13 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15311, 802, 15501])).
% 72.96/46.13 tff(15503,plain,
% 72.96/46.13 (~v90(constB92, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15502, 15486])).
% 72.96/46.13 tff(15504,plain,
% 72.96/46.13 (~v90(constB93, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15321, 15503])).
% 72.96/46.13 tff(15505,plain,
% 72.96/46.13 (v123(constB93)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15325, 829, 15504, 15498, 15492])).
% 72.96/46.13 tff(15506,assumption,(v90(constB94, bitIndex0)), introduced(assumption)).
% 72.96/46.13 tff(15507,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15508,plain,
% 72.96/46.13 (((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))) <=> (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15509,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15508])).
% 72.96/46.13 tff(15510,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15509, 15507])).
% 72.96/46.13 tff(15511,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15512,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 72.96/46.13 tff(15513,plain,
% 72.96/46.13 (v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15512, 362, 15357])).
% 72.96/46.13 tff(15514,plain,
% 72.96/46.13 (v100(constB94)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15513, 15504, 15506])).
% 72.96/46.13 tff(15515,plain,
% 72.96/46.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15516,plain,
% 72.96/46.13 (((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15517,plain,
% 72.96/46.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15516])).
% 72.96/46.13 tff(15518,plain,
% 72.96/46.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15517, 15515])).
% 72.96/46.13 tff(15519,plain,
% 72.96/46.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15520,plain,
% 72.96/46.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 72.96/46.13 tff(15521,plain,
% 72.96/46.13 (v129(constB94, bitIndex0) | (~v100(constB94))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15520, 802, 15506])).
% 72.96/46.13 tff(15522,plain,
% 72.96/46.13 (v129(constB94, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15521, 15514])).
% 72.96/46.13 tff(15523,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15524,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15525,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 72.96/46.13 tff(15526,plain,
% 72.96/46.13 (v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15525, 787, 15357])).
% 72.96/46.13 tff(15527,plain,
% 72.96/46.13 (v127(constB93, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15526, 15522])).
% 72.96/46.13 tff(15528,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15529,plain,
% 72.96/46.13 ((v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0))) <=> ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15530,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15529])).
% 72.96/46.13 tff(15531,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15530, 15528])).
% 72.96/46.13 tff(15532,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15533,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 72.96/46.13 tff(15534,plain,
% 72.96/46.13 ((~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15533, 769, 15342])).
% 72.96/46.13 tff(15535,plain,
% 72.96/46.13 (v130(constB93, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15534, 15527])).
% 72.96/46.13 tff(15536,plain,
% 72.96/46.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15537,plain,
% 72.96/46.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15538,plain,
% 72.96/46.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15537, 15536])).
% 72.96/46.13 tff(15539,plain,
% 72.96/46.13 ($false),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15538, 1057, 15535, 15505])).
% 72.96/46.13 tff(15540,plain,((~v122(constB91)) | (~v90(constB94, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.96/46.13 tff(15541,plain,
% 72.96/46.13 (~v90(constB94, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15540, 15130])).
% 72.96/46.13 tff(15542,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15543,plain,
% 72.96/46.13 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15544,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15543])).
% 72.96/46.13 tff(15545,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15544, 15542])).
% 72.96/46.13 tff(15546,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15547,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 72.96/46.13 tff(15548,plain,
% 72.96/46.13 (v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15547, 362, 15425])).
% 72.96/46.13 tff(15549,plain,
% 72.96/46.13 (v90(constB94, bitIndex0) | (~v90(constB95, bitIndex0))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15548, 15437])).
% 72.96/46.13 tff(15550,plain,
% 72.96/46.13 (~v90(constB95, bitIndex0)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15549, 15541])).
% 72.96/46.13 tff(15551,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15552,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15553,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 72.96/46.13 tff(15554,plain,
% 72.96/46.13 ((~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15553, 1101, 15550])).
% 72.96/46.13 tff(15555,plain,
% 72.96/46.13 (v125(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15554, 15477, 15446])).
% 72.96/46.13 tff(15556,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB95) | (~v125(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB95) | (~v125(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15557,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB95) | (~v125(constB95)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15558,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB95) | (~v125(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 72.96/46.13 tff(15559,plain,
% 72.96/46.13 (v113(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15558, 1112, 15555])).
% 72.96/46.13 tff(15560,assumption,(~v108(constB95)), introduced(assumption)).
% 72.96/46.13 tff(15561,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15562,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15563,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 72.96/46.13 tff(15564,plain,
% 72.96/46.13 (~v112(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15563, 475, 15560])).
% 72.96/46.13 tff(15565,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB95) | (~v26(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB95) | (~v26(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15566,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB95) | (~v26(constB95)))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15567,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB95) | (~v26(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15566, 15565])).
% 72.96/46.13 tff(15568,plain,
% 72.96/46.13 (~v26(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15567, 1807, 15560])).
% 72.96/46.13 tff(15569,assumption,(v113(constB95)), introduced(assumption)).
% 72.96/46.13 tff(15570,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15571,plain,
% 72.96/46.13 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15572,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15571])).
% 72.96/46.13 tff(15573,plain,
% 72.96/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15572, 15570])).
% 72.96/46.13 tff(15574,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15575,plain,
% 72.96/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15574, 15573])).
% 72.96/46.13 tff(15576,plain,
% 72.96/46.13 (v26(constB95) | v112(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15575, 463, 15569])).
% 72.96/46.13 tff(15577,plain,
% 72.96/46.13 ($false),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15576, 15568, 15564])).
% 72.96/46.13 tff(15578,plain,(v108(constB95) | (~v113(constB95))), inference(lemma,lemma(discharge,[]))).
% 72.96/46.13 tff(15579,plain,
% 72.96/46.13 (v108(constB95)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15578, 15559])).
% 72.96/46.13 tff(15580,plain,
% 72.96/46.13 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15581,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 72.96/46.13 tff(15582,plain,
% 72.96/46.13 (nextState(constB95, constB96)),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 72.96/46.13 tff(15583,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15584,plain,
% 72.96/46.13 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.13 tff(15585,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 72.96/46.13 inference(monotonicity,[status(thm)],[15584])).
% 72.96/46.13 tff(15586,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 72.96/46.13 inference(transitivity,[status(thm)],[15585, 15583])).
% 72.96/46.13 tff(15587,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 72.96/46.13 inference(quant_inst,[status(thm)],[])).
% 72.96/46.13 tff(15588,plain,
% 72.96/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 72.96/46.13 inference(modus_ponens,[status(thm)],[15587, 15586])).
% 72.96/46.13 tff(15589,plain,
% 72.96/46.13 (v110(constB96) | (~v108(constB95))),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15588, 492, 15582])).
% 72.96/46.13 tff(15590,plain,
% 72.96/46.13 (v110(constB96)),
% 72.96/46.13 inference(unit_resolution,[status(thm)],[15589, 15579])).
% 72.96/46.13 tff(15591,plain,
% 72.96/46.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 72.96/46.13 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15592,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15593,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15592, 15591])).
% 72.96/46.14 tff(15594,plain,
% 72.96/46.14 (~v104(constB96)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15593, 510, 15582, 15422])).
% 72.96/46.14 tff(15595,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15596,plain,
% 72.96/46.14 (((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15597,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15596])).
% 72.96/46.14 tff(15598,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15597, 15595])).
% 72.96/46.14 tff(15599,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15600,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15599, 15598])).
% 72.96/46.14 tff(15601,plain,
% 72.96/46.14 (v104(constB96) | v102(constB96)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15600, 524, 15582])).
% 72.96/46.14 tff(15602,plain,
% 72.96/46.14 (v102(constB96)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15601, 15594])).
% 72.96/46.14 tff(15603,plain,
% 72.96/46.14 (v1(constB96) <=> v1(constB96)),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15604,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 72.96/46.14 tff(15605,plain,
% 72.96/46.14 (v1(constB96)),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 72.96/46.14 tff(15606,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15607,plain,
% 72.96/46.14 (((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))) <=> ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15608,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15607])).
% 72.96/46.14 tff(15609,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15608, 15606])).
% 72.96/46.14 tff(15610,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15611,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 72.96/46.14 tff(15612,plain,
% 72.96/46.14 (v101(constB96) | (~v102(constB96))),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15611, 545, 15582, 15605])).
% 72.96/46.14 tff(15613,plain,
% 72.96/46.14 (v101(constB96)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15612, 15602])).
% 72.96/46.14 tff(15614,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15615,plain,
% 72.96/46.14 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15616,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15615])).
% 72.96/46.14 tff(15617,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15616, 15614])).
% 72.96/46.14 tff(15618,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15619,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 72.96/46.14 tff(15620,plain,
% 72.96/46.14 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15619, 563, 15582])).
% 72.96/46.14 tff(15621,plain,
% 72.96/46.14 (v100(constB96) | (~v110(constB96))),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15620, 15613])).
% 72.96/46.14 tff(15622,plain,
% 72.96/46.14 (v100(constB96)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15621, 15590])).
% 72.96/46.14 tff(15623,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB95, bitIndex0) | (~v120(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB95, bitIndex0) | (~v120(constB95)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15624,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB95, bitIndex0) | (~v120(constB95)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15625,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB95, bitIndex0) | (~v120(constB95))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 72.96/46.14 tff(15626,plain,
% 72.96/46.14 (~v120(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15625, 4101, 15550])).
% 72.96/46.14 tff(15627,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB95, bitIndex0) | (~v122(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB95, bitIndex0) | (~v122(constB95)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15628,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB95, bitIndex0) | (~v122(constB95)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15629,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB95, bitIndex0) | (~v122(constB95))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15628, 15627])).
% 72.96/46.14 tff(15630,plain,
% 72.96/46.14 (~v122(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15629, 3752, 15550])).
% 72.96/46.14 tff(15631,plain,
% 72.96/46.14 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15632,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15633,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15632, 15631])).
% 72.96/46.14 tff(15634,plain,
% 72.96/46.14 (~v119(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15633, 1207, 15446])).
% 72.96/46.14 tff(15635,plain,
% 72.96/46.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB95, bitIndex2)) | (~v121(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB95, bitIndex2)) | (~v121(constB95)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15636,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB95, bitIndex2)) | (~v121(constB95)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15637,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB95, bitIndex2)) | (~v121(constB95))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 72.96/46.14 tff(15638,plain,
% 72.96/46.14 (~v121(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15637, 1182, 15477])).
% 72.96/46.14 tff(15639,plain,
% 72.96/46.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex1)) | (~v123(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex1)) | (~v123(constB95)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15640,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex1)) | (~v123(constB95)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15641,plain,
% 72.96/46.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex1)) | (~v123(constB95))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 72.96/46.14 tff(15642,plain,
% 72.96/46.14 (~v123(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15641, 1218, 15446])).
% 72.96/46.14 tff(15643,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB95, bitIndex0) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB95, bitIndex0) | (~v124(constB95)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15644,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB95, bitIndex0) | (~v124(constB95)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15645,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB95, bitIndex0) | (~v124(constB95))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 72.96/46.14 tff(15646,plain,
% 72.96/46.14 (~v124(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15645, 4085, 15550])).
% 72.96/46.14 tff(15647,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15648,plain,
% 72.96/46.14 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1))) <=> ((~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15649,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15648])).
% 72.96/46.14 tff(15650,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15649, 15647])).
% 72.96/46.14 tff(15651,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15652,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15651, 15650])).
% 72.96/46.14 tff(15653,plain,
% 72.96/46.14 ((~v130(constB95, bitIndex1)) | v119(constB95) | v121(constB95) | v123(constB95)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15652, 1349, 15630, 15626, 15646])).
% 72.96/46.14 tff(15654,plain,
% 72.96/46.14 (~v130(constB95, bitIndex1)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15653, 15642, 15638, 15634])).
% 72.96/46.14 tff(15655,assumption,(v26(constB95)), introduced(assumption)).
% 72.96/46.14 tff(15656,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15657,plain,
% 72.96/46.14 ($false),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15656, 26, 15655])).
% 72.96/46.14 tff(15658,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 72.96/46.14 tff(15659,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15660,plain,
% 72.96/46.14 ((v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1))) <=> ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15661,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15660])).
% 72.96/46.14 tff(15662,plain,
% 72.96/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15661, 15659])).
% 72.96/46.14 tff(15663,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15664,plain,
% 72.96/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15663, 15662])).
% 72.96/46.14 tff(15665,plain,
% 72.96/46.14 ((~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15664, 695, 15658])).
% 72.96/46.14 tff(15666,plain,
% 72.96/46.14 (~v127(constB95, bitIndex1)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15665, 15654])).
% 72.96/46.14 tff(15667,plain,
% 72.96/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15668,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15669,plain,
% 72.96/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 72.96/46.14 tff(15670,plain,
% 72.96/46.14 (v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15669, 713, 15582])).
% 72.96/46.14 tff(15671,plain,
% 72.96/46.14 (~v129(constB96, bitIndex1)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15670, 15666])).
% 72.96/46.14 tff(15672,plain,
% 72.96/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15673,plain,
% 72.96/46.14 (((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15674,plain,
% 72.96/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15673])).
% 72.96/46.14 tff(15675,plain,
% 72.96/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15674, 15672])).
% 72.96/46.14 tff(15676,plain,
% 72.96/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15677,plain,
% 72.96/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))),
% 72.96/46.14 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 72.96/46.14 tff(15678,plain,
% 72.96/46.14 (~v90(constB96, bitIndex1)),
% 72.96/46.14 inference(unit_resolution,[status(thm)],[15677, 728, 15622, 15671])).
% 72.96/46.14 tff(15679,assumption,(~v90(constB96, bitIndex1)), introduced(assumption)).
% 72.96/46.14 tff(15680,assumption,(v100(constB96)), introduced(assumption)).
% 72.96/46.14 tff(15681,plain,
% 72.96/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15682,plain,
% 72.96/46.14 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 72.96/46.14 inference(rewrite,[status(thm)],[])).
% 72.96/46.14 tff(15683,plain,
% 72.96/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))))),
% 72.96/46.14 inference(monotonicity,[status(thm)],[15682])).
% 72.96/46.14 tff(15684,plain,
% 72.96/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 72.96/46.14 inference(transitivity,[status(thm)],[15683, 15681])).
% 72.96/46.14 tff(15685,plain,
% 72.96/46.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 72.96/46.14 inference(quant_inst,[status(thm)],[])).
% 72.96/46.14 tff(15686,plain,
% 72.96/46.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 72.99/46.14 tff(15687,plain,
% 72.99/46.14 (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15686, 1020, 15680])).
% 72.99/46.14 tff(15688,plain,
% 72.99/46.14 (~v129(constB96, bitIndex1)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15687, 15679])).
% 72.99/46.14 tff(15689,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15690,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15691,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 72.99/46.14 tff(15692,plain,
% 72.99/46.14 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15691, 1005, 15582])).
% 72.99/46.14 tff(15693,plain,
% 72.99/46.14 (~v127(constB95, bitIndex1)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15692, 15688])).
% 72.99/46.14 tff(15694,plain,
% 72.99/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15695,plain,
% 72.99/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15696,plain,
% 72.99/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15695, 15694])).
% 72.99/46.14 tff(15697,plain,
% 72.99/46.14 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15696, 990, 15658])).
% 72.99/46.14 tff(15698,plain,
% 72.99/46.14 (~v130(constB95, bitIndex1)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15697, 15693])).
% 72.99/46.14 tff(15699,plain,
% 72.99/46.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15700,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15701,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB95)) | v130(constB95, bitIndex1)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15700, 15699])).
% 72.99/46.14 tff(15702,plain,
% 72.99/46.14 (~v123(constB95)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15701, 976, 15698])).
% 72.99/46.14 tff(15703,plain,
% 72.99/46.14 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15704,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15705,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 72.99/46.14 tff(15706,plain,
% 72.99/46.14 (~v124(constB95)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15705, 3556, 15698])).
% 72.99/46.14 tff(15707,assumption,(~v120(constB95)), introduced(assumption)).
% 72.99/46.14 tff(15708,plain,
% 72.99/46.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15709,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB95)) | v130(constB95, bitIndex1))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15710,plain,
% 72.99/46.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB95)) | v130(constB95, bitIndex1)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 72.99/46.14 tff(15711,plain,
% 72.99/46.14 (~v121(constB95)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15710, 1904, 15698])).
% 72.99/46.14 tff(15712,plain,
% 72.99/46.14 ((~v1(constB97)) <=> (~v1(constB97))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15713,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 72.99/46.14 tff(15714,plain,
% 72.99/46.14 (~v1(constB97)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 72.99/46.14 tff(15715,plain,
% 72.99/46.14 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15716,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 72.99/46.14 tff(15717,plain,
% 72.99/46.14 (nextState(constB96, constB97)),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15716, 15715])).
% 72.99/46.14 tff(15718,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15719,plain,
% 72.99/46.14 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15720,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 72.99/46.14 inference(monotonicity,[status(thm)],[15719])).
% 72.99/46.14 tff(15721,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 72.99/46.14 inference(transitivity,[status(thm)],[15720, 15718])).
% 72.99/46.14 tff(15722,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15723,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 72.99/46.14 tff(15724,plain,
% 72.99/46.14 (~v101(constB97)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15723, 288, 15717, 15714])).
% 72.99/46.14 tff(15725,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15726,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15727,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 72.99/46.14 tff(15728,plain,
% 72.99/46.14 (v101(constB97) | (~v100(constB97))),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15727, 305, 15717])).
% 72.99/46.14 tff(15729,plain,
% 72.99/46.14 (~v100(constB97)),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15728, 15724])).
% 72.99/46.14 tff(15730,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15731,plain,
% 72.99/46.14 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 72.99/46.14 inference(rewrite,[status(thm)],[])).
% 72.99/46.14 tff(15732,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))))),
% 72.99/46.14 inference(monotonicity,[status(thm)],[15731])).
% 72.99/46.14 tff(15733,plain,
% 72.99/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 72.99/46.14 inference(transitivity,[status(thm)],[15732, 15730])).
% 72.99/46.14 tff(15734,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 72.99/46.14 inference(quant_inst,[status(thm)],[])).
% 72.99/46.14 tff(15735,plain,
% 72.99/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 72.99/46.14 inference(modus_ponens,[status(thm)],[15734, 15733])).
% 72.99/46.14 tff(15736,plain,
% 72.99/46.14 (v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15735, 341, 15717])).
% 72.99/46.14 tff(15737,plain,
% 72.99/46.14 (v90(constB96, bitIndex1) | (~v90(constB97, bitIndex1))),
% 72.99/46.14 inference(unit_resolution,[status(thm)],[15736, 15729])).
% 72.99/46.14 tff(15738,plain,
% 72.99/46.14 (~v90(constB97, bitIndex1)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15737, 15679])).
% 72.99/46.15 tff(15739,assumption,(~v122(constB95)), introduced(assumption)).
% 72.99/46.15 tff(15740,assumption,(~v121(constB95)), introduced(assumption)).
% 72.99/46.15 tff(15741,assumption,(~v90(constB96, bitIndex0)), introduced(assumption)).
% 72.99/46.15 tff(15742,assumption,(~v100(constB96)), introduced(assumption)).
% 72.99/46.15 tff(15743,assumption,(v90(constB96, bitIndex2)), introduced(assumption)).
% 72.99/46.15 tff(15744,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15745,plain,
% 72.99/46.15 (((~nextState(constB95, constB96)) | v90(constB95, bitIndex2) | v100(constB96) | (~v90(constB96, bitIndex2))) <=> (v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15746,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v90(constB95, bitIndex2) | v100(constB96) | (~v90(constB96, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2))))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15745])).
% 72.99/46.15 tff(15747,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v90(constB95, bitIndex2) | v100(constB96) | (~v90(constB96, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2)))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15746, 15744])).
% 72.99/46.15 tff(15748,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v90(constB95, bitIndex2) | v100(constB96) | (~v90(constB96, bitIndex2)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15749,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB95, bitIndex2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, bitIndex2))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 72.99/46.15 tff(15750,plain,
% 72.99/46.15 (v90(constB95, bitIndex2) | v100(constB96) | (~v90(constB96, bitIndex2))),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15749, 320, 15582])).
% 72.99/46.15 tff(15751,plain,
% 72.99/46.15 (v90(constB95, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15750, 15742, 15743])).
% 72.99/46.15 tff(15752,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15753,plain,
% 72.99/46.15 (((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex1)) | v100(constB96) | v90(constB96, bitIndex1)) <=> ((~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15754,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex1)) | v100(constB96) | v90(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15753])).
% 72.99/46.15 tff(15755,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex1)) | v100(constB96) | v90(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15754, 15752])).
% 72.99/46.15 tff(15756,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex1)) | v100(constB96) | v90(constB96, bitIndex1))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15757,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB95, bitIndex1)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex1)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15756, 15755])).
% 72.99/46.15 tff(15758,plain,
% 72.99/46.15 ((~v90(constB95, bitIndex1)) | v100(constB96) | v90(constB96, bitIndex1)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15757, 1038, 15582])).
% 72.99/46.15 tff(15759,plain,
% 72.99/46.15 (~v90(constB95, bitIndex1)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15758, 15742, 15679])).
% 72.99/46.15 tff(15760,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15761,plain,
% 72.99/46.15 (((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0)) <=> ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15762,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15761])).
% 72.99/46.15 tff(15763,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15762, 15760])).
% 72.99/46.15 tff(15764,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15765,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 72.99/46.15 tff(15766,plain,
% 72.99/46.15 ((~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15765, 1461, 15582])).
% 72.99/46.15 tff(15767,plain,
% 72.99/46.15 (~v90(constB95, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15766, 15742, 15741])).
% 72.99/46.15 tff(15768,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15769,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15770,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15769, 15768])).
% 72.99/46.15 tff(15771,plain,
% 72.99/46.15 (v123(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15770, 829, 15767, 15759, 15751])).
% 72.99/46.15 tff(15772,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB95) | (~v123(constB95)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB95) | (~v123(constB95)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15773,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB95) | (~v123(constB95)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15774,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB95) | (~v123(constB95))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15773, 15772])).
% 72.99/46.15 tff(15775,plain,
% 72.99/46.15 (v115(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15774, 840, 15771])).
% 72.99/46.15 tff(15776,plain,
% 72.99/46.15 (~v110(constB96)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15621, 15742])).
% 72.99/46.15 tff(15777,plain,
% 72.99/46.15 (~v108(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15589, 15776])).
% 72.99/46.15 tff(15778,plain,
% 72.99/46.15 (~v113(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15578, 15777])).
% 72.99/46.15 tff(15779,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15780,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15781,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 72.99/46.15 tff(15782,plain,
% 72.99/46.15 (~v114(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15781, 449, 15778])).
% 72.99/46.15 tff(15783,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB95) | (~v115(constB95)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB95) | (~v115(constB95)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15784,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB95) | (~v115(constB95)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15785,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB95) | (~v115(constB95))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15784, 15783])).
% 72.99/46.15 tff(15786,plain,
% 72.99/46.15 ($false),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15785, 438, 15782, 15775])).
% 72.99/46.15 tff(15787,plain,(v100(constB96) | (~v90(constB96, bitIndex2)) | v90(constB96, bitIndex0) | v90(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.15 tff(15788,plain,
% 72.99/46.15 (~v90(constB96, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15787, 15742, 15741, 15679])).
% 72.99/46.15 tff(15789,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15790,plain,
% 72.99/46.15 (((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex2)) | v100(constB96) | v90(constB96, bitIndex2)) <=> ((~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15791,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex2)) | v100(constB96) | v90(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15790])).
% 72.99/46.15 tff(15792,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex2)) | v100(constB96) | v90(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15791, 15789])).
% 72.99/46.15 tff(15793,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex2)) | v100(constB96) | v90(constB96, bitIndex2))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15794,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB95, bitIndex2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex2)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 72.99/46.15 tff(15795,plain,
% 72.99/46.15 ((~v90(constB95, bitIndex2)) | v100(constB96) | v90(constB96, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15794, 662, 15582])).
% 72.99/46.15 tff(15796,plain,
% 72.99/46.15 (~v90(constB95, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15795, 15788, 15742])).
% 72.99/46.15 tff(15797,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB95) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB95) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15798,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB95) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15799,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB95) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 72.99/46.15 tff(15800,plain,
% 72.99/46.15 (v119(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15799, 383, 15767, 15759, 15796])).
% 72.99/46.15 tff(15801,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB95, bitIndex2) | (~v123(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB95, bitIndex2) | (~v123(constB95)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15802,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB95, bitIndex2) | (~v123(constB95)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15803,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB95, bitIndex2) | (~v123(constB95))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 72.99/46.15 tff(15804,plain,
% 72.99/46.15 (~v123(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15803, 3717, 15796])).
% 72.99/46.15 tff(15805,plain,
% 72.99/46.15 (~v124(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15645, 4085, 15767])).
% 72.99/46.15 tff(15806,assumption,(~v124(constB95)), introduced(assumption)).
% 72.99/46.15 tff(15807,assumption,(~v123(constB95)), introduced(assumption)).
% 72.99/46.15 tff(15808,assumption,(~v130(constB95, bitIndex0)), introduced(assumption)).
% 72.99/46.15 tff(15809,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15810,plain,
% 72.99/46.15 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0)) <=> (v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15811,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15810])).
% 72.99/46.15 tff(15812,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15811, 15809])).
% 72.99/46.15 tff(15813,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15814,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB95, bitIndex0) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 72.99/46.15 tff(15815,plain,
% 72.99/46.15 (v119(constB95) | v122(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15814, 1396, 15808, 15807, 15740, 15707, 15806])).
% 72.99/46.15 tff(15816,plain,
% 72.99/46.15 (v119(constB95)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15815, 15739])).
% 72.99/46.15 tff(15817,plain,
% 72.99/46.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB95)) | (~v90(constB95, bitIndex2)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15818,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex2)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15819,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB95)) | (~v90(constB95, bitIndex2))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15818, 15817])).
% 72.99/46.15 tff(15820,plain,
% 72.99/46.15 (~v90(constB95, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15819, 3402, 15816])).
% 72.99/46.15 tff(15821,plain,
% 72.99/46.15 (~v90(constB94, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15476, 15820])).
% 72.99/46.15 tff(15822,plain,
% 72.99/46.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB95, bitIndex0)) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB95, bitIndex0)) | (~v119(constB95)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15823,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB95, bitIndex0)) | (~v119(constB95)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15824,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB95, bitIndex0)) | (~v119(constB95))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15823, 15822])).
% 72.99/46.15 tff(15825,plain,
% 72.99/46.15 (~v90(constB95, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15824, 3665, 15816])).
% 72.99/46.15 tff(15826,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15827,plain,
% 72.99/46.15 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15828,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15827])).
% 72.99/46.15 tff(15829,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15828, 15826])).
% 72.99/46.15 tff(15830,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15831,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 72.99/46.15 tff(15832,plain,
% 72.99/46.15 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15831, 1461, 15425])).
% 72.99/46.15 tff(15833,plain,
% 72.99/46.15 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15832, 15437])).
% 72.99/46.15 tff(15834,plain,
% 72.99/46.15 (~v90(constB94, bitIndex0)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15833, 15825])).
% 72.99/46.15 tff(15835,plain,
% 72.99/46.15 (~v90(constB95, bitIndex1)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15633, 1207, 15816])).
% 72.99/46.15 tff(15836,plain,
% 72.99/46.15 (~v90(constB94, bitIndex1)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15445, 15835])).
% 72.99/46.15 tff(15837,assumption,(v121(constB93)), introduced(assumption)).
% 72.99/46.15 tff(15838,assumption,(~v90(constB94, bitIndex1)), introduced(assumption)).
% 72.99/46.15 tff(15839,plain,
% 72.99/46.15 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB93)) | (~v130(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB93)) | (~v130(constB93, bitIndex2)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15840,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB93)) | (~v130(constB93, bitIndex2)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15841,plain,
% 72.99/46.15 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB93)) | (~v130(constB93, bitIndex2))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15840, 15839])).
% 72.99/46.15 tff(15842,plain,
% 72.99/46.15 (~v130(constB93, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15841, 1748, 15837])).
% 72.99/46.15 tff(15843,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15844,plain,
% 72.99/46.15 ((v26(constB93) | v130(constB93, bitIndex2) | (~v127(constB93, bitIndex2))) <=> ((~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15845,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB93) | v130(constB93, bitIndex2) | (~v127(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2)))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15844])).
% 72.99/46.15 tff(15846,plain,
% 72.99/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB93) | v130(constB93, bitIndex2) | (~v127(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2))),
% 72.99/46.15 inference(transitivity,[status(thm)],[15845, 15843])).
% 72.99/46.15 tff(15847,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB93) | v130(constB93, bitIndex2) | (~v127(constB93, bitIndex2)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15848,plain,
% 72.99/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB93, bitIndex2)) | v26(constB93) | v130(constB93, bitIndex2)),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 72.99/46.15 tff(15849,plain,
% 72.99/46.15 ((~v127(constB93, bitIndex2)) | v130(constB93, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15848, 1271, 15342])).
% 72.99/46.15 tff(15850,plain,
% 72.99/46.15 (~v127(constB93, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15849, 15842])).
% 72.99/46.15 tff(15851,plain,
% 72.99/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex2) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex2) | (~v129(constB94, bitIndex2)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15852,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex2) | (~v129(constB94, bitIndex2)))),
% 72.99/46.15 inference(quant_inst,[status(thm)],[])).
% 72.99/46.15 tff(15853,plain,
% 72.99/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex2) | (~v129(constB94, bitIndex2))),
% 72.99/46.15 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 72.99/46.15 tff(15854,plain,
% 72.99/46.15 (v127(constB93, bitIndex2) | (~v129(constB94, bitIndex2))),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15853, 1289, 15357])).
% 72.99/46.15 tff(15855,plain,
% 72.99/46.15 (~v129(constB94, bitIndex2)),
% 72.99/46.15 inference(unit_resolution,[status(thm)],[15854, 15850])).
% 72.99/46.15 tff(15856,assumption,(v100(constB94)), introduced(assumption)).
% 72.99/46.15 tff(15857,plain,
% 72.99/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15858,plain,
% 72.99/46.15 (((~v90(constB94, bitIndex2)) | (~v100(constB94)) | v129(constB94, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94)))),
% 72.99/46.15 inference(rewrite,[status(thm)],[])).
% 72.99/46.15 tff(15859,plain,
% 72.99/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~v100(constB94)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94))))),
% 72.99/46.15 inference(monotonicity,[status(thm)],[15858])).
% 72.99/46.15 tff(15860,plain,
% 72.99/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~v100(constB94)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94)))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15859, 15857])).
% 72.99/46.16 tff(15861,plain,
% 72.99/46.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~v100(constB94)) | v129(constB94, bitIndex2))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15862,plain,
% 72.99/46.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2) | (~v100(constB94))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 72.99/46.16 tff(15863,plain,
% 72.99/46.16 ((~v90(constB94, bitIndex2)) | v129(constB94, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15862, 1304, 15856])).
% 72.99/46.16 tff(15864,plain,
% 72.99/46.16 (~v90(constB94, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15863, 15855])).
% 72.99/46.16 tff(15865,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15866,plain,
% 72.99/46.16 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex2) | v100(constB95) | (~v90(constB95, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15867,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex2) | v100(constB95) | (~v90(constB95, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2))))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15866])).
% 72.99/46.16 tff(15868,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex2) | v100(constB95) | (~v90(constB95, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2)))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15867, 15865])).
% 72.99/46.16 tff(15869,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex2) | v100(constB95) | (~v90(constB95, bitIndex2)))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15870,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex2))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 72.99/46.16 tff(15871,plain,
% 72.99/46.16 (v90(constB94, bitIndex2) | v100(constB95) | (~v90(constB95, bitIndex2))),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15870, 320, 15425])).
% 72.99/46.16 tff(15872,plain,
% 72.99/46.16 (v90(constB94, bitIndex2) | (~v90(constB95, bitIndex2))),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15871, 15437])).
% 72.99/46.16 tff(15873,plain,
% 72.99/46.16 (~v90(constB95, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15872, 15864])).
% 72.99/46.16 tff(15874,plain,
% 72.99/46.16 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB93)) | v130(constB93, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15875,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB93)) | v130(constB93, bitIndex0))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15876,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB93)) | v130(constB93, bitIndex0)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 72.99/46.16 tff(15877,plain,
% 72.99/46.16 (v130(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15876, 1945, 15837])).
% 72.99/46.16 tff(15878,plain,
% 72.99/46.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15879,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15880,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15879, 15878])).
% 72.99/46.16 tff(15881,plain,
% 72.99/46.16 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15880, 1413, 15342])).
% 72.99/46.16 tff(15882,plain,
% 72.99/46.16 (v127(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15881, 15877])).
% 72.99/46.16 tff(15883,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15884,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15885,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 72.99/46.16 tff(15886,plain,
% 72.99/46.16 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15885, 1428, 15357])).
% 72.99/46.16 tff(15887,plain,
% 72.99/46.16 (v129(constB94, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15886, 15882])).
% 72.99/46.16 tff(15888,plain,
% 72.99/46.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15889,plain,
% 72.99/46.16 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15890,plain,
% 72.99/46.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15889])).
% 72.99/46.16 tff(15891,plain,
% 72.99/46.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15890, 15888])).
% 72.99/46.16 tff(15892,plain,
% 72.99/46.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15893,plain,
% 72.99/46.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 72.99/46.16 tff(15894,plain,
% 72.99/46.16 (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0))),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15893, 1443, 15856])).
% 72.99/46.16 tff(15895,plain,
% 72.99/46.16 (v90(constB94, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15894, 15887])).
% 72.99/46.16 tff(15896,plain,
% 72.99/46.16 (v90(constB95, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15833, 15895])).
% 72.99/46.16 tff(15897,plain,
% 72.99/46.16 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB93)) | v130(constB93, bitIndex1))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15898,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB93)) | v130(constB93, bitIndex1))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15899,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB93)) | v130(constB93, bitIndex1)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 72.99/46.16 tff(15900,plain,
% 72.99/46.16 (v130(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15899, 1904, 15837])).
% 72.99/46.16 tff(15901,plain,
% 72.99/46.16 (v127(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15405, 15900])).
% 72.99/46.16 tff(15902,plain,
% 72.99/46.16 (v129(constB94, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15410, 15901])).
% 72.99/46.16 tff(15903,plain,
% 72.99/46.16 (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1))),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15417, 1020, 15856])).
% 72.99/46.16 tff(15904,plain,
% 72.99/46.16 (v90(constB94, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15903, 15902])).
% 72.99/46.16 tff(15905,plain,
% 72.99/46.16 (v90(constB95, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15445, 15904])).
% 72.99/46.16 tff(15906,plain,
% 72.99/46.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex2) | v122(constB95))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex2) | v122(constB95))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15907,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex2) | v122(constB95))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15908,plain,
% 72.99/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex2) | v122(constB95)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 72.99/46.16 tff(15909,plain,
% 72.99/46.16 ((~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15908, 1986, 15739])).
% 72.99/46.16 tff(15910,plain,
% 72.99/46.16 ($false),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15909, 15905, 15896, 15873])).
% 72.99/46.16 tff(15911,plain,((~v121(constB93)) | v122(constB95) | (~v100(constB94))), inference(lemma,lemma(discharge,[]))).
% 72.99/46.16 tff(15912,plain,
% 72.99/46.16 (~v100(constB94)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15911, 15837, 15739])).
% 72.99/46.16 tff(15913,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15914,plain,
% 72.99/46.16 (((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex1)) | v100(constB94) | v90(constB94, bitIndex1)) <=> ((~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15915,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex1)) | v100(constB94) | v90(constB94, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1)))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15914])).
% 72.99/46.16 tff(15916,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex1)) | v100(constB94) | v90(constB94, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15915, 15913])).
% 72.99/46.16 tff(15917,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex1)) | v100(constB94) | v90(constB94, bitIndex1))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15918,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB93, bitIndex1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex1)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 72.99/46.16 tff(15919,plain,
% 72.99/46.16 ((~v90(constB93, bitIndex1)) | v100(constB94) | v90(constB94, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15918, 1038, 15357])).
% 72.99/46.16 tff(15920,plain,
% 72.99/46.16 (~v90(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15919, 15912, 15838])).
% 72.99/46.16 tff(15921,plain,
% 72.99/46.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB93, bitIndex1) | (~v121(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB93, bitIndex1) | (~v121(constB93)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15922,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB93, bitIndex1) | (~v121(constB93)))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15923,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB93, bitIndex1) | (~v121(constB93))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15922, 15921])).
% 72.99/46.16 tff(15924,plain,
% 72.99/46.16 ($false),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15923, 8834, 15920, 15837])).
% 72.99/46.16 tff(15925,plain,((~v121(constB93)) | v90(constB94, bitIndex1) | v122(constB95)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.16 tff(15926,plain,
% 72.99/46.16 (~v121(constB93)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15925, 15836, 15739])).
% 72.99/46.16 tff(15927,assumption,(~v121(constB93)), introduced(assumption)).
% 72.99/46.16 tff(15928,assumption,(~v90(constB94, bitIndex2)), introduced(assumption)).
% 72.99/46.16 tff(15929,assumption,(~v100(constB94)), introduced(assumption)).
% 72.99/46.16 tff(15930,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15931,plain,
% 72.99/46.16 (((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex2)) | v100(constB94) | v90(constB94, bitIndex2)) <=> ((~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15932,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex2)) | v100(constB94) | v90(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2)))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15931])).
% 72.99/46.16 tff(15933,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex2)) | v100(constB94) | v90(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15932, 15930])).
% 72.99/46.16 tff(15934,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex2)) | v100(constB94) | v90(constB94, bitIndex2))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15935,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB93, bitIndex2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex2)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 72.99/46.16 tff(15936,plain,
% 72.99/46.16 ((~v90(constB93, bitIndex2)) | v100(constB94) | v90(constB94, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15935, 662, 15357])).
% 72.99/46.16 tff(15937,plain,
% 72.99/46.16 (~v90(constB93, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15936, 15929, 15928])).
% 72.99/46.16 tff(15938,assumption,(~v90(constB94, bitIndex0)), introduced(assumption)).
% 72.99/46.16 tff(15939,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15940,plain,
% 72.99/46.16 (((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex0)) | v100(constB94) | v90(constB94, bitIndex0)) <=> ((~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15941,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex0)) | v100(constB94) | v90(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0)))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15940])).
% 72.99/46.16 tff(15942,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex0)) | v100(constB94) | v90(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15941, 15939])).
% 72.99/46.16 tff(15943,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, bitIndex0)) | v100(constB94) | v90(constB94, bitIndex0))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15944,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB93, bitIndex0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, bitIndex0)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 72.99/46.16 tff(15945,plain,
% 72.99/46.16 ((~v90(constB93, bitIndex0)) | v100(constB94) | v90(constB94, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15944, 1461, 15357])).
% 72.99/46.16 tff(15946,plain,
% 72.99/46.16 (~v90(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15945, 15929, 15938])).
% 72.99/46.16 tff(15947,assumption,(~v90(constB93, bitIndex0)), introduced(assumption)).
% 72.99/46.16 tff(15948,assumption,(~v90(constB93, bitIndex2)), introduced(assumption)).
% 72.99/46.16 tff(15949,plain,
% 72.99/46.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB93, bitIndex0) | (~v90(constB93, bitIndex1)) | v90(constB93, bitIndex2) | v121(constB93))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex1)) | v90(constB93, bitIndex2) | v121(constB93))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15950,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB93, bitIndex0) | (~v90(constB93, bitIndex1)) | v90(constB93, bitIndex2) | v121(constB93))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15951,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex1)) | v90(constB93, bitIndex2) | v121(constB93)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 72.99/46.16 tff(15952,plain,
% 72.99/46.16 (v90(constB93, bitIndex0) | (~v90(constB93, bitIndex1)) | v90(constB93, bitIndex2)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15951, 1734, 15927])).
% 72.99/46.16 tff(15953,plain,
% 72.99/46.16 (~v90(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15952, 15948, 15947])).
% 72.99/46.16 tff(15954,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15955,plain,
% 72.99/46.16 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex1)) | v100(constB93) | v90(constB93, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15956,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex1)) | v100(constB93) | v90(constB93, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1)))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15955])).
% 72.99/46.16 tff(15957,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex1)) | v100(constB93) | v90(constB93, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15956, 15954])).
% 72.99/46.16 tff(15958,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex1)) | v100(constB93) | v90(constB93, bitIndex1))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15959,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex1)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 72.99/46.16 tff(15960,plain,
% 72.99/46.16 ((~v90(constB92, bitIndex1)) | v100(constB93) | v90(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15959, 1038, 15233])).
% 72.99/46.16 tff(15961,plain,
% 72.99/46.16 ((~v90(constB92, bitIndex1)) | v90(constB93, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15960, 15245])).
% 72.99/46.16 tff(15962,plain,
% 72.99/46.16 (~v90(constB92, bitIndex1)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15961, 15953])).
% 72.99/46.16 tff(15963,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15964,plain,
% 72.99/46.16 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex0)) | v100(constB93) | v90(constB93, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15965,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex0)) | v100(constB93) | v90(constB93, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0)))),
% 72.99/46.16 inference(monotonicity,[status(thm)],[15964])).
% 72.99/46.16 tff(15966,plain,
% 72.99/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex0)) | v100(constB93) | v90(constB93, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0))),
% 72.99/46.16 inference(transitivity,[status(thm)],[15965, 15963])).
% 72.99/46.16 tff(15967,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex0)) | v100(constB93) | v90(constB93, bitIndex0))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15968,plain,
% 72.99/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex0)),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 72.99/46.16 tff(15969,plain,
% 72.99/46.16 ((~v90(constB92, bitIndex0)) | v100(constB93) | v90(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15968, 1461, 15233])).
% 72.99/46.16 tff(15970,plain,
% 72.99/46.16 ((~v90(constB92, bitIndex0)) | v90(constB93, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15969, 15245])).
% 72.99/46.16 tff(15971,plain,
% 72.99/46.16 (~v90(constB92, bitIndex0)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15970, 15947])).
% 72.99/46.16 tff(15972,assumption,(~v100(constB92)), introduced(assumption)).
% 72.99/46.16 tff(15973,plain,
% 72.99/46.16 (~v110(constB92)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15204, 15972])).
% 72.99/46.16 tff(15974,plain,
% 72.99/46.16 (~v108(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15172, 15973])).
% 72.99/46.16 tff(15975,plain,
% 72.99/46.16 (~v112(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15161, 475, 15974])).
% 72.99/46.16 tff(15976,assumption,(~v26(constB91)), introduced(assumption)).
% 72.99/46.16 tff(15977,plain,
% 72.99/46.16 (v112(constB91) | (~v113(constB91))),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15156, 463, 15976])).
% 72.99/46.16 tff(15978,plain,
% 72.99/46.16 (~v113(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15977, 15975])).
% 72.99/46.16 tff(15979,plain,
% 72.99/46.16 (~v114(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15145, 449, 15978])).
% 72.99/46.16 tff(15980,plain,
% 72.99/46.16 (~v115(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15141, 438, 15979])).
% 72.99/46.16 tff(15981,plain,
% 72.99/46.16 (~v116(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15137, 427, 15980])).
% 72.99/46.16 tff(15982,plain,
% 72.99/46.16 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15983,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15984,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15983, 15982])).
% 72.99/46.16 tff(15985,plain,
% 72.99/46.16 (~v117(constB91)),
% 72.99/46.16 inference(unit_resolution,[status(thm)],[15984, 416, 15981])).
% 72.99/46.16 tff(15986,plain,
% 72.99/46.16 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB91) | (~v121(constB91)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB91) | (~v121(constB91)))),
% 72.99/46.16 inference(rewrite,[status(thm)],[])).
% 72.99/46.16 tff(15987,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB91) | (~v121(constB91)))),
% 72.99/46.16 inference(quant_inst,[status(thm)],[])).
% 72.99/46.16 tff(15988,plain,
% 72.99/46.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB91) | (~v121(constB91))),
% 72.99/46.16 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 72.99/46.17 tff(15989,plain,
% 72.99/46.17 (~v121(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15988, 1775, 15985])).
% 72.99/46.17 tff(15990,assumption,(~v90(constB92, bitIndex0)), introduced(assumption)).
% 72.99/46.17 tff(15991,plain,
% 72.99/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(15992,plain,
% 72.99/46.17 (((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0)) <=> ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(15993,plain,
% 72.99/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0)))),
% 72.99/46.17 inference(monotonicity,[status(thm)],[15992])).
% 72.99/46.17 tff(15994,plain,
% 72.99/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 72.99/46.17 inference(transitivity,[status(thm)],[15993, 15991])).
% 72.99/46.17 tff(15995,plain,
% 72.99/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(15996,plain,
% 72.99/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 72.99/46.17 tff(15997,plain,
% 72.99/46.17 ((~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15996, 1461, 15165])).
% 72.99/46.17 tff(15998,plain,
% 72.99/46.17 (~v90(constB91, bitIndex0)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15997, 15972, 15990])).
% 72.99/46.17 tff(15999,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB91, bitIndex0) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB91, bitIndex0) | (~v122(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16000,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB91, bitIndex0) | (~v122(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16001,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB91, bitIndex0) | (~v122(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 72.99/46.17 tff(16002,plain,
% 72.99/46.17 (~v122(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16001, 3752, 15998])).
% 72.99/46.17 tff(16003,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB91, bitIndex0) | (~v120(constB91)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB91, bitIndex0) | (~v120(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16004,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB91, bitIndex0) | (~v120(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16005,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB91, bitIndex0) | (~v120(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16004, 16003])).
% 72.99/46.17 tff(16006,plain,
% 72.99/46.17 (~v120(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16005, 4101, 15998])).
% 72.99/46.17 tff(16007,assumption,(~v130(constB91, bitIndex0)), introduced(assumption)).
% 72.99/46.17 tff(16008,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16009,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16010,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16009, 16008])).
% 72.99/46.17 tff(16011,plain,
% 72.99/46.17 (~v121(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16010, 1945, 16007])).
% 72.99/46.17 tff(16012,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB91)) | v130(constB91, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16013,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB91)) | v130(constB91, bitIndex0))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16014,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB91)) | v130(constB91, bitIndex0)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 72.99/46.17 tff(16015,plain,
% 72.99/46.17 (~v124(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16014, 3911, 16007])).
% 72.99/46.17 tff(16016,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB91) | (~v123(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB91) | (~v123(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16017,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB91) | (~v123(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16018,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB91) | (~v123(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16017, 16016])).
% 72.99/46.17 tff(16019,plain,
% 72.99/46.17 (~v123(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16018, 840, 15980])).
% 72.99/46.17 tff(16020,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16021,plain,
% 72.99/46.17 ((v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0)) <=> (v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16022,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91)))),
% 72.99/46.17 inference(monotonicity,[status(thm)],[16021])).
% 72.99/46.17 tff(16023,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91))),
% 72.99/46.17 inference(transitivity,[status(thm)],[16022, 16020])).
% 72.99/46.17 tff(16024,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16025,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16024, 16023])).
% 72.99/46.17 tff(16026,plain,
% 72.99/46.17 (v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16025, 1396, 16007])).
% 72.99/46.17 tff(16027,plain,
% 72.99/46.17 (v119(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16026, 16019, 16015, 16011, 16006, 16002])).
% 72.99/46.17 tff(16028,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB91) | (~v119(constB91)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB91) | (~v119(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16029,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB91) | (~v119(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16030,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB91) | (~v119(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 72.99/46.17 tff(16031,plain,
% 72.99/46.17 (v118(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16030, 394, 16027])).
% 72.99/46.17 tff(16032,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16033,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16034,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16033, 16032])).
% 72.99/46.17 tff(16035,plain,
% 72.99/46.17 ($false),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16034, 405, 16031, 15985])).
% 72.99/46.17 tff(16036,plain,(v100(constB92) | v130(constB91, bitIndex0) | v26(constB91) | v90(constB92, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.17 tff(16037,plain,
% 72.99/46.17 (v130(constB91, bitIndex0)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16036, 15972, 15990, 15976])).
% 72.99/46.17 tff(16038,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16039,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16040,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB91)) | (~v130(constB91, bitIndex0))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 72.99/46.17 tff(16041,plain,
% 72.99/46.17 (~v123(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16040, 1057, 16037])).
% 72.99/46.17 tff(16042,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16043,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB91)) | (~v130(constB91, bitIndex0)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16044,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB91)) | (~v130(constB91, bitIndex0))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 72.99/46.17 tff(16045,plain,
% 72.99/46.17 (~v119(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16044, 755, 16037])).
% 72.99/46.17 tff(16046,assumption,(~v90(constB91, bitIndex1)), introduced(assumption)).
% 72.99/46.17 tff(16047,assumption,(~v123(constB91)), introduced(assumption)).
% 72.99/46.17 tff(16048,assumption,(~v90(constB91, bitIndex0)), introduced(assumption)).
% 72.99/46.17 tff(16049,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | (~v90(constB91, bitIndex2)) | v123(constB91))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | (~v90(constB91, bitIndex2)) | v123(constB91))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16050,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | (~v90(constB91, bitIndex2)) | v123(constB91))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16051,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | (~v90(constB91, bitIndex2)) | v123(constB91)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16050, 16049])).
% 72.99/46.17 tff(16052,plain,
% 72.99/46.17 (v90(constB91, bitIndex1) | (~v90(constB91, bitIndex2))),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16051, 829, 16048, 16047])).
% 72.99/46.17 tff(16053,plain,
% 72.99/46.17 (~v90(constB91, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16052, 16046])).
% 72.99/46.17 tff(16054,assumption,(~v119(constB91)), introduced(assumption)).
% 72.99/46.17 tff(16055,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB91) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | v90(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB91) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | v90(constB91, bitIndex2))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16056,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB91) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | v90(constB91, bitIndex2))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16057,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB91) | v90(constB91, bitIndex0) | v90(constB91, bitIndex1) | v90(constB91, bitIndex2)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 72.99/46.17 tff(16058,plain,
% 72.99/46.17 (v90(constB91, bitIndex1) | v90(constB91, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16057, 383, 16048, 16054])).
% 72.99/46.17 tff(16059,plain,
% 72.99/46.17 ($false),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16058, 16053, 16046])).
% 72.99/46.17 tff(16060,plain,(v90(constB91, bitIndex1) | v90(constB91, bitIndex0) | v119(constB91) | v123(constB91)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.17 tff(16061,plain,
% 72.99/46.17 (v90(constB91, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16060, 15998, 16045, 16041])).
% 72.99/46.17 tff(16062,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB91) | (~v125(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB91) | (~v125(constB91)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16063,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB91) | (~v125(constB91)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16064,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB91) | (~v125(constB91))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 72.99/46.17 tff(16065,plain,
% 72.99/46.17 (~v125(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16064, 1112, 15978])).
% 72.99/46.17 tff(16066,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex2)) | v125(constB91))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex2)) | v125(constB91))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16067,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex2)) | v125(constB91))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16068,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex2)) | v125(constB91)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 72.99/46.17 tff(16069,plain,
% 72.99/46.17 ((~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex2)) | v125(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16068, 1101, 15998])).
% 72.99/46.17 tff(16070,plain,
% 72.99/46.17 (~v90(constB91, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16069, 16061, 16065])).
% 72.99/46.17 tff(16071,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v121(constB91))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v121(constB91))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16072,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v121(constB91))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16073,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB91, bitIndex0) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v121(constB91)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 72.99/46.17 tff(16074,plain,
% 72.99/46.17 ((~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v121(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16073, 1734, 15998])).
% 72.99/46.17 tff(16075,plain,
% 72.99/46.17 ($false),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16074, 16070, 16061, 15989])).
% 72.99/46.17 tff(16076,plain,(v100(constB92) | v26(constB91) | v90(constB92, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.17 tff(16077,plain,
% 72.99/46.17 (v100(constB92) | v90(constB92, bitIndex0)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16076, 15150])).
% 72.99/46.17 tff(16078,plain,
% 72.99/46.17 (v100(constB92)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16077, 15971])).
% 72.99/46.17 tff(16079,plain,
% 72.99/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16080,plain,
% 72.99/46.17 ((v90(constB92, bitIndex1) | (~v100(constB92)) | (~v129(constB92, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16081,plain,
% 72.99/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~v100(constB92)) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92))))),
% 72.99/46.17 inference(monotonicity,[status(thm)],[16080])).
% 72.99/46.17 tff(16082,plain,
% 72.99/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~v100(constB92)) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92)))),
% 72.99/46.17 inference(transitivity,[status(thm)],[16081, 16079])).
% 72.99/46.17 tff(16083,plain,
% 72.99/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~v100(constB92)) | (~v129(constB92, bitIndex1)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16084,plain,
% 72.99/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1)) | (~v100(constB92))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16083, 16082])).
% 72.99/46.17 tff(16085,plain,
% 72.99/46.17 (v90(constB92, bitIndex1) | (~v129(constB92, bitIndex1))),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16084, 1020, 16078])).
% 72.99/46.17 tff(16086,plain,
% 72.99/46.17 (~v129(constB92, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16085, 15962])).
% 72.99/46.17 tff(16087,plain,
% 72.99/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex1)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex1)) | v129(constB92, bitIndex1))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16088,plain,
% 72.99/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex1)) | v129(constB92, bitIndex1))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16089,plain,
% 72.99/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex1)) | v129(constB92, bitIndex1)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 72.99/46.17 tff(16090,plain,
% 72.99/46.17 ((~v127(constB91, bitIndex1)) | v129(constB92, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16089, 1005, 15165])).
% 72.99/46.17 tff(16091,plain,
% 72.99/46.17 (~v127(constB91, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16090, 16086])).
% 72.99/46.17 tff(16092,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB91) | (~v130(constB91, bitIndex1)) | v127(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB91) | (~v130(constB91, bitIndex1)) | v127(constB91, bitIndex1))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16093,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB91) | (~v130(constB91, bitIndex1)) | v127(constB91, bitIndex1))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16094,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB91) | (~v130(constB91, bitIndex1)) | v127(constB91, bitIndex1)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 72.99/46.17 tff(16095,plain,
% 72.99/46.17 ((~v130(constB91, bitIndex1)) | v127(constB91, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16094, 990, 15150])).
% 72.99/46.17 tff(16096,plain,
% 72.99/46.17 (~v130(constB91, bitIndex1)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16095, 16091])).
% 72.99/46.17 tff(16097,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB91)) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB91)) | v130(constB91, bitIndex1))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16098,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB91)) | v130(constB91, bitIndex1))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16099,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB91)) | v130(constB91, bitIndex1)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 72.99/46.17 tff(16100,plain,
% 72.99/46.17 (~v120(constB91)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16099, 1649, 16096])).
% 72.99/46.17 tff(16101,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB93, bitIndex0) | (~v124(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB93, bitIndex0) | (~v124(constB93)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16102,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB93, bitIndex0) | (~v124(constB93)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16103,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB93, bitIndex0) | (~v124(constB93))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 72.99/46.17 tff(16104,plain,
% 72.99/46.17 (~v124(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16103, 4085, 15947])).
% 72.99/46.17 tff(16105,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB93, bitIndex0) | (~v120(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB93, bitIndex0) | (~v120(constB93)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16106,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB93, bitIndex0) | (~v120(constB93)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16107,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB93, bitIndex0) | (~v120(constB93))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16106, 16105])).
% 72.99/46.17 tff(16108,plain,
% 72.99/46.17 (~v120(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16107, 4101, 15947])).
% 72.99/46.17 tff(16109,assumption,(~v119(constB93)), introduced(assumption)).
% 72.99/46.17 tff(16110,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16111,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16112,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16111, 16110])).
% 72.99/46.17 tff(16113,plain,
% 72.99/46.17 (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16112, 383, 16109])).
% 72.99/46.17 tff(16114,plain,
% 72.99/46.17 ($false),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16113, 15953, 15948, 15947])).
% 72.99/46.17 tff(16115,plain,(v90(constB93, bitIndex2) | v90(constB93, bitIndex0) | v119(constB93) | v121(constB93)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.17 tff(16116,plain,
% 72.99/46.17 (v119(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16115, 15948, 15927, 15947])).
% 72.99/46.17 tff(16117,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB93)) | (~v130(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB93)) | (~v130(constB93, bitIndex0)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16118,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB93)) | (~v130(constB93, bitIndex0)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16119,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB93)) | (~v130(constB93, bitIndex0))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16118, 16117])).
% 72.99/46.17 tff(16120,plain,
% 72.99/46.17 (~v130(constB93, bitIndex0)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16119, 755, 16116])).
% 72.99/46.17 tff(16121,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB93, bitIndex2) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB93, bitIndex2) | (~v123(constB93)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16122,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB93, bitIndex2) | (~v123(constB93)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16123,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB93, bitIndex2) | (~v123(constB93))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 72.99/46.17 tff(16124,plain,
% 72.99/46.17 (~v123(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16123, 3717, 15948])).
% 72.99/46.17 tff(16125,assumption,(~v123(constB93)), introduced(assumption)).
% 72.99/46.17 tff(16126,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB93, bitIndex0) | (~v122(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB93, bitIndex0) | (~v122(constB93)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16127,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB93, bitIndex0) | (~v122(constB93)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16128,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB93, bitIndex0) | (~v122(constB93))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 72.99/46.17 tff(16129,plain,
% 72.99/46.17 (~v122(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16128, 3752, 15947])).
% 72.99/46.17 tff(16130,assumption,(~v124(constB93)), introduced(assumption)).
% 72.99/46.17 tff(16131,assumption,(~v120(constB93)), introduced(assumption)).
% 72.99/46.17 tff(16132,assumption,(~v130(constB93, bitIndex0)), introduced(assumption)).
% 72.99/46.17 tff(16133,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16134,plain,
% 72.99/46.17 ((v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0)) <=> (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16135,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0)))),
% 72.99/46.17 inference(monotonicity,[status(thm)],[16134])).
% 72.99/46.17 tff(16136,plain,
% 72.99/46.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 72.99/46.17 inference(transitivity,[status(thm)],[16135, 16133])).
% 72.99/46.17 tff(16137,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16138,plain,
% 72.99/46.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0)),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16137, 16136])).
% 72.99/46.17 tff(16139,plain,
% 72.99/46.17 (v123(constB93) | v122(constB93) | v119(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16138, 1396, 16132, 16131, 16130, 15927])).
% 72.99/46.17 tff(16140,plain,
% 72.99/46.17 (v119(constB93)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16139, 16129, 16125])).
% 72.99/46.17 tff(16141,plain,
% 72.99/46.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB93)) | (~v90(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB93)) | (~v90(constB93, bitIndex2)))),
% 72.99/46.17 inference(rewrite,[status(thm)],[])).
% 72.99/46.17 tff(16142,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB93)) | (~v90(constB93, bitIndex2)))),
% 72.99/46.17 inference(quant_inst,[status(thm)],[])).
% 72.99/46.17 tff(16143,plain,
% 72.99/46.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB93)) | (~v90(constB93, bitIndex2))),
% 72.99/46.17 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 72.99/46.17 tff(16144,plain,
% 72.99/46.17 (~v90(constB93, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16143, 3402, 16140])).
% 72.99/46.17 tff(16145,plain,
% 72.99/46.17 (~v90(constB92, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15253, 16144])).
% 72.99/46.17 tff(16146,plain,
% 72.99/46.17 (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15225, 626, 16078])).
% 72.99/46.17 tff(16147,plain,
% 72.99/46.17 (~v129(constB92, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[16146, 16145])).
% 72.99/46.17 tff(16148,plain,
% 72.99/46.17 (~v127(constB91, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15218, 16147])).
% 72.99/46.17 tff(16149,plain,
% 72.99/46.17 (~v130(constB91, bitIndex2)),
% 72.99/46.17 inference(unit_resolution,[status(thm)],[15213, 16148])).
% 72.99/46.18 tff(16150,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB91)) | v130(constB91, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16151,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB91)) | v130(constB91, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16152,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB91)) | v130(constB91, bitIndex2)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 72.99/46.18 tff(16153,plain,
% 72.99/46.18 (~v123(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16152, 917, 16149])).
% 72.99/46.18 tff(16154,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16155,plain,
% 72.99/46.18 ((v90(constB92, bitIndex0) | (~v100(constB92)) | (~v129(constB92, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16156,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~v100(constB92)) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92))))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16155])).
% 72.99/46.18 tff(16157,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~v100(constB92)) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92)))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16156, 16154])).
% 72.99/46.18 tff(16158,plain,
% 72.99/46.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~v100(constB92)) | (~v129(constB92, bitIndex0)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16159,plain,
% 72.99/46.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~v129(constB92, bitIndex0)) | (~v100(constB92))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 72.99/46.18 tff(16160,plain,
% 72.99/46.18 (~v129(constB92, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16159, 1443, 16078, 15971])).
% 72.99/46.18 tff(16161,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex0)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex0)) | v129(constB92, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16162,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex0)) | v129(constB92, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16163,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex0)) | v129(constB92, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 72.99/46.18 tff(16164,plain,
% 72.99/46.18 ((~v127(constB91, bitIndex0)) | v129(constB92, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16163, 1428, 15165])).
% 72.99/46.18 tff(16165,plain,
% 72.99/46.18 (~v127(constB91, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16164, 16160])).
% 72.99/46.18 tff(16166,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB91) | (~v130(constB91, bitIndex0)) | v127(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB91) | (~v130(constB91, bitIndex0)) | v127(constB91, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16167,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB91) | (~v130(constB91, bitIndex0)) | v127(constB91, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16168,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB91) | (~v130(constB91, bitIndex0)) | v127(constB91, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16167, 16166])).
% 72.99/46.18 tff(16169,plain,
% 72.99/46.18 ((~v130(constB91, bitIndex0)) | v127(constB91, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16168, 1413, 15150])).
% 72.99/46.18 tff(16170,plain,
% 72.99/46.18 (~v130(constB91, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16169, 16165])).
% 72.99/46.18 tff(16171,plain,
% 72.99/46.18 (~v124(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16014, 3911, 16170])).
% 72.99/46.18 tff(16172,plain,
% 72.99/46.18 (~v121(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16010, 1945, 16170])).
% 72.99/46.18 tff(16173,plain,
% 72.99/46.18 (~v122(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15208, 2079, 16149])).
% 72.99/46.18 tff(16174,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB91)) | v130(constB91, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16175,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB91)) | v130(constB91, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16176,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB91)) | v130(constB91, bitIndex2)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16175, 16174])).
% 72.99/46.18 tff(16177,plain,
% 72.99/46.18 (~v119(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16176, 582, 16149])).
% 72.99/46.18 tff(16178,assumption,(~v120(constB91)), introduced(assumption)).
% 72.99/46.18 tff(16179,plain,
% 72.99/46.18 (v130(constB91, bitIndex0) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v119(constB91)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16025, 1396, 16178])).
% 72.99/46.18 tff(16180,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16179, 16177, 16173, 16170, 16172, 16171, 16153])).
% 72.99/46.18 tff(16181,plain,(v90(constB93, bitIndex0) | v120(constB91) | v123(constB93) | v130(constB93, bitIndex0) | v120(constB93) | v124(constB93) | v121(constB93)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16182,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16181, 16124, 16120, 15927, 15947, 16108, 16104, 16100])).
% 72.99/46.18 tff(16183,plain,(v90(constB93, bitIndex2) | v121(constB93) | v90(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16184,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16183, 15946, 15937, 15927])).
% 72.99/46.18 tff(16185,plain,(v100(constB94) | v121(constB93) | v90(constB94, bitIndex0) | v90(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16186,plain,
% 72.99/46.18 (v100(constB94)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16185, 15926, 15834, 15821])).
% 72.99/46.18 tff(16187,plain,
% 72.99/46.18 ((~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15466, 626, 15821])).
% 72.99/46.18 tff(16188,plain,
% 72.99/46.18 (~v129(constB94, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16187, 16186])).
% 72.99/46.18 tff(16189,plain,
% 72.99/46.18 (~v127(constB93, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15459, 16188])).
% 72.99/46.18 tff(16190,plain,
% 72.99/46.18 (~v130(constB93, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15454, 16189])).
% 72.99/46.18 tff(16191,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB93)) | v130(constB93, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16192,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB93)) | v130(constB93, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16193,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB93)) | v130(constB93, bitIndex2)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 72.99/46.18 tff(16194,plain,
% 72.99/46.18 (~v122(constB93)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16193, 2079, 16190])).
% 72.99/46.18 tff(16195,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB93)) | v130(constB93, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16196,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB93)) | v130(constB93, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16197,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB93)) | v130(constB93, bitIndex2)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 72.99/46.18 tff(16198,plain,
% 72.99/46.18 (~v119(constB93)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16197, 582, 16190])).
% 72.99/46.18 tff(16199,plain,
% 72.99/46.18 ((~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15893, 1443, 15834])).
% 72.99/46.18 tff(16200,plain,
% 72.99/46.18 (~v129(constB94, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16199, 16186])).
% 72.99/46.18 tff(16201,plain,
% 72.99/46.18 (~v127(constB93, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15886, 16200])).
% 72.99/46.18 tff(16202,plain,
% 72.99/46.18 (~v130(constB93, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15881, 16201])).
% 72.99/46.18 tff(16203,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB93)) | v130(constB93, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16204,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB93)) | v130(constB93, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16205,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB93)) | v130(constB93, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16204, 16203])).
% 72.99/46.18 tff(16206,plain,
% 72.99/46.18 (~v124(constB93)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16205, 3911, 16202])).
% 72.99/46.18 tff(16207,plain,
% 72.99/46.18 (~v123(constB93)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15449, 917, 16190])).
% 72.99/46.18 tff(16208,plain,
% 72.99/46.18 ((~v129(constB94, bitIndex1)) | (~v100(constB94))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15417, 1020, 15836])).
% 72.99/46.18 tff(16209,plain,
% 72.99/46.18 (~v129(constB94, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16208, 16186])).
% 72.99/46.18 tff(16210,plain,
% 72.99/46.18 (~v127(constB93, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15410, 16209])).
% 72.99/46.18 tff(16211,plain,
% 72.99/46.18 (~v130(constB93, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15405, 16210])).
% 72.99/46.18 tff(16212,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB93)) | v130(constB93, bitIndex1))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16213,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB93)) | v130(constB93, bitIndex1))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16214,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB93)) | v130(constB93, bitIndex1)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 72.99/46.18 tff(16215,plain,
% 72.99/46.18 (~v120(constB93)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16214, 1649, 16211])).
% 72.99/46.18 tff(16216,plain,
% 72.99/46.18 (v124(constB93) | v123(constB93) | v122(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16138, 1396, 15926])).
% 72.99/46.18 tff(16217,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16216, 16215, 16207, 16202, 16206, 16198, 16194])).
% 72.99/46.18 tff(16218,plain,(v122(constB95) | v130(constB95, bitIndex0) | v123(constB95) | v121(constB95) | v120(constB95) | v124(constB95)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16219,plain,
% 72.99/46.18 (v130(constB95, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16218, 15805, 15739, 15740, 15707, 15804])).
% 72.99/46.18 tff(16220,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB95)) | (~v130(constB95, bitIndex0)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16221,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB95)) | (~v130(constB95, bitIndex0)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16222,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB95)) | (~v130(constB95, bitIndex0))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 72.99/46.18 tff(16223,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16222, 755, 16219, 15800])).
% 72.99/46.18 tff(16224,plain,(v100(constB96) | v122(constB95) | v121(constB95) | v120(constB95) | v90(constB96, bitIndex0) | v90(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16225,plain,
% 72.99/46.18 (v100(constB96)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16224, 15741, 15740, 15707, 15739, 15679])).
% 72.99/46.18 tff(16226,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16227,plain,
% 72.99/46.18 ((v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16228,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16227])).
% 72.99/46.18 tff(16229,plain,
% 72.99/46.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16228, 16226])).
% 72.99/46.18 tff(16230,plain,
% 72.99/46.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16231,plain,
% 72.99/46.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 72.99/46.18 tff(16232,plain,
% 72.99/46.18 ((~v129(constB96, bitIndex0)) | (~v100(constB96))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16231, 1443, 15741])).
% 72.99/46.18 tff(16233,plain,
% 72.99/46.18 (~v129(constB96, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16232, 16225])).
% 72.99/46.18 tff(16234,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16235,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16236,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16235, 16234])).
% 72.99/46.18 tff(16237,plain,
% 72.99/46.18 ((~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16236, 1428, 15582])).
% 72.99/46.18 tff(16238,plain,
% 72.99/46.18 (~v127(constB95, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16237, 16233])).
% 72.99/46.18 tff(16239,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16240,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16241,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16240, 16239])).
% 72.99/46.18 tff(16242,plain,
% 72.99/46.18 ((~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16241, 1413, 15658])).
% 72.99/46.18 tff(16243,plain,
% 72.99/46.18 (~v130(constB95, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16242, 16238])).
% 72.99/46.18 tff(16244,plain,
% 72.99/46.18 ((~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15686, 1020, 15679])).
% 72.99/46.18 tff(16245,plain,
% 72.99/46.18 (~v129(constB96, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16244, 16225])).
% 72.99/46.18 tff(16246,plain,
% 72.99/46.18 (~v127(constB95, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15692, 16245])).
% 72.99/46.18 tff(16247,plain,
% 72.99/46.18 (~v130(constB95, bitIndex1)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15697, 16246])).
% 72.99/46.18 tff(16248,plain,
% 72.99/46.18 (~v124(constB95)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15705, 3556, 16247])).
% 72.99/46.18 tff(16249,plain,
% 72.99/46.18 (~v123(constB95)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[15701, 976, 16247])).
% 72.99/46.18 tff(16250,plain,
% 72.99/46.18 ($false),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16218, 16249, 16248, 15739, 15740, 15707, 16243])).
% 72.99/46.18 tff(16251,plain,(v90(constB96, bitIndex0) | v122(constB95) | v121(constB95) | v120(constB95) | v90(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.18 tff(16252,plain,
% 72.99/46.18 (v90(constB96, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16251, 15711, 15739, 15707, 15679])).
% 72.99/46.18 tff(16253,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16254,plain,
% 72.99/46.18 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16255,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16254])).
% 72.99/46.18 tff(16256,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16255, 16253])).
% 72.99/46.18 tff(16257,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16258,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 72.99/46.18 tff(16259,plain,
% 72.99/46.18 ((~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16258, 1461, 15717])).
% 72.99/46.18 tff(16260,plain,
% 72.99/46.18 ((~v90(constB96, bitIndex0)) | v90(constB97, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16259, 15729])).
% 72.99/46.18 tff(16261,plain,
% 72.99/46.18 (v90(constB97, bitIndex0)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16260, 16252])).
% 72.99/46.18 tff(16262,assumption,(~v120(constB97)), introduced(assumption)).
% 72.99/46.18 tff(16263,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16264,plain,
% 72.99/46.18 (((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)) <=> ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16265,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16264])).
% 72.99/46.18 tff(16266,plain,
% 72.99/46.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16265, 16263])).
% 72.99/46.18 tff(16267,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16268,plain,
% 72.99/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 72.99/46.18 tff(16269,plain,
% 72.99/46.18 ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16268, 1480, 16262])).
% 72.99/46.18 tff(16270,plain,
% 72.99/46.18 (v90(constB97, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16269, 16261, 15738])).
% 72.99/46.18 tff(16271,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16272,plain,
% 72.99/46.18 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16273,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16272])).
% 72.99/46.18 tff(16274,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16273, 16271])).
% 72.99/46.18 tff(16275,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16276,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 72.99/46.18 tff(16277,plain,
% 72.99/46.18 (v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16276, 320, 15717])).
% 72.99/46.18 tff(16278,plain,
% 72.99/46.18 (v90(constB96, bitIndex2) | (~v90(constB97, bitIndex2))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16277, 15729])).
% 72.99/46.18 tff(16279,plain,
% 72.99/46.18 (v90(constB96, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16278, 16270])).
% 72.99/46.18 tff(16280,plain,
% 72.99/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16281,plain,
% 72.99/46.18 (((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16282,plain,
% 72.99/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96))))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16281])).
% 72.99/46.18 tff(16283,plain,
% 72.99/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16282, 16280])).
% 72.99/46.18 tff(16284,plain,
% 72.99/46.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16285,plain,
% 72.99/46.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 72.99/46.18 tff(16286,plain,
% 72.99/46.18 ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16285, 1304, 15680])).
% 72.99/46.18 tff(16287,plain,
% 72.99/46.18 (v129(constB96, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16286, 16279])).
% 72.99/46.18 tff(16288,plain,
% 72.99/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16289,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16290,plain,
% 72.99/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 72.99/46.18 tff(16291,plain,
% 72.99/46.18 (v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16290, 1289, 15582])).
% 72.99/46.18 tff(16292,plain,
% 72.99/46.18 (v127(constB95, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16291, 16287])).
% 72.99/46.18 tff(16293,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16294,plain,
% 72.99/46.18 ((v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2))) <=> ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16295,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16294])).
% 72.99/46.18 tff(16296,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 72.99/46.18 inference(transitivity,[status(thm)],[16295, 16293])).
% 72.99/46.18 tff(16297,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))),
% 72.99/46.18 inference(quant_inst,[status(thm)],[])).
% 72.99/46.18 tff(16298,plain,
% 72.99/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)),
% 72.99/46.18 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 72.99/46.18 tff(16299,plain,
% 72.99/46.18 ((~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16298, 1271, 15658])).
% 72.99/46.18 tff(16300,plain,
% 72.99/46.18 (v130(constB95, bitIndex2)),
% 72.99/46.18 inference(unit_resolution,[status(thm)],[16299, 16292])).
% 72.99/46.18 tff(16301,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16302,plain,
% 72.99/46.18 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2))) <=> ((~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.18 inference(rewrite,[status(thm)],[])).
% 72.99/46.18 tff(16303,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)))),
% 72.99/46.18 inference(monotonicity,[status(thm)],[16302])).
% 72.99/46.18 tff(16304,plain,
% 72.99/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16303, 16301])).
% 72.99/46.19 tff(16305,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16306,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 72.99/46.19 tff(16307,plain,
% 72.99/46.19 ((~v130(constB95, bitIndex2)) | v124(constB95) | v120(constB95) | v119(constB95) | v121(constB95) | v123(constB95)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16306, 1254, 15739])).
% 72.99/46.19 tff(16308,plain,
% 72.99/46.19 (v119(constB95)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16307, 16300, 15711, 15707, 15706, 15702])).
% 72.99/46.19 tff(16309,plain,
% 72.99/46.19 (v130(constB95, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16218, 15711, 15739, 15702, 15707, 15706])).
% 72.99/46.19 tff(16310,plain,
% 72.99/46.19 ($false),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16222, 755, 16309, 16308])).
% 72.99/46.19 tff(16311,plain,(v90(constB96, bitIndex1) | v120(constB95) | v122(constB95) | (~v100(constB96)) | v120(constB97)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.19 tff(16312,plain,
% 72.99/46.19 (v120(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16311, 15678, 15630, 15626, 15622])).
% 72.99/46.19 tff(16313,assumption,(~v122(constB101)), introduced(assumption)).
% 72.99/46.19 tff(16314,assumption,(v120(constB97)), introduced(assumption)).
% 72.99/46.19 tff(16315,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB97) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB97) | (~v120(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16316,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB97) | (~v120(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16317,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB97) | (~v120(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 72.99/46.19 tff(16318,plain,
% 72.99/46.19 (v118(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16317, 1494, 16314])).
% 72.99/46.19 tff(16319,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB97) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB97) | (~v118(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16320,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB97) | (~v118(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16321,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB97) | (~v118(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16320, 16319])).
% 72.99/46.19 tff(16322,plain,
% 72.99/46.19 (v117(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16321, 405, 16318])).
% 72.99/46.19 tff(16323,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB97) | (~v117(constB97)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB97) | (~v117(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16324,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB97) | (~v117(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16325,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB97) | (~v117(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 72.99/46.19 tff(16326,plain,
% 72.99/46.19 (v116(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16325, 416, 16322])).
% 72.99/46.19 tff(16327,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB97) | (~v116(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16328,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB97) | (~v116(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16329,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB97) | (~v116(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16328, 16327])).
% 72.99/46.19 tff(16330,plain,
% 72.99/46.19 (v115(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16329, 427, 16326])).
% 72.99/46.19 tff(16331,plain,
% 72.99/46.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16332,plain,
% 72.99/46.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16333,plain,
% 72.99/46.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 72.99/46.19 tff(16334,plain,
% 72.99/46.19 (~v130(constB97, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16333, 1690, 16314])).
% 72.99/46.19 tff(16335,assumption,(v26(constB97)), introduced(assumption)).
% 72.99/46.19 tff(16336,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16337,plain,
% 72.99/46.19 ($false),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16336, 26, 16335])).
% 72.99/46.19 tff(16338,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.19 tff(16339,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16340,plain,
% 72.99/46.19 ((v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0))) <=> ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16341,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16340])).
% 72.99/46.19 tff(16342,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16341, 16339])).
% 72.99/46.19 tff(16343,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16344,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 72.99/46.19 tff(16345,plain,
% 72.99/46.19 ((~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16344, 769, 16338])).
% 72.99/46.19 tff(16346,plain,
% 72.99/46.19 (~v127(constB97, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16345, 16334])).
% 72.99/46.19 tff(16347,plain,
% 72.99/46.19 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16348,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 72.99/46.19 tff(16349,plain,
% 72.99/46.19 (nextState(constB97, constB98)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 72.99/46.19 tff(16350,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16351,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16352,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16351, 16350])).
% 72.99/46.19 tff(16353,plain,
% 72.99/46.19 (v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16352, 787, 16349])).
% 72.99/46.19 tff(16354,plain,
% 72.99/46.19 (~v129(constB98, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16353, 16346])).
% 72.99/46.19 tff(16355,assumption,(v90(constB98, bitIndex0)), introduced(assumption)).
% 72.99/46.19 tff(16356,plain,
% 72.99/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16357,plain,
% 72.99/46.19 (((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16358,plain,
% 72.99/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16357])).
% 72.99/46.19 tff(16359,plain,
% 72.99/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16358, 16356])).
% 72.99/46.19 tff(16360,plain,
% 72.99/46.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16361,plain,
% 72.99/46.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 72.99/46.19 tff(16362,plain,
% 72.99/46.19 (v129(constB98, bitIndex0) | (~v100(constB98))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16361, 802, 16355])).
% 72.99/46.19 tff(16363,plain,
% 72.99/46.19 (~v100(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16362, 16354])).
% 72.99/46.19 tff(16364,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16365,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16366,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 72.99/46.19 tff(16367,plain,
% 72.99/46.19 (~v104(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16366, 510, 16349, 15714])).
% 72.99/46.19 tff(16368,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16369,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16370,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16369])).
% 72.99/46.19 tff(16371,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16370, 16368])).
% 72.99/46.19 tff(16372,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16373,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 72.99/46.19 tff(16374,plain,
% 72.99/46.19 (v104(constB98) | v102(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16373, 524, 16349])).
% 72.99/46.19 tff(16375,plain,
% 72.99/46.19 (v102(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16374, 16367])).
% 72.99/46.19 tff(16376,plain,
% 72.99/46.19 (v1(constB98) <=> v1(constB98)),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16377,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 72.99/46.19 tff(16378,plain,
% 72.99/46.19 (v1(constB98)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 72.99/46.19 tff(16379,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16380,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))) <=> ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16381,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16380])).
% 72.99/46.19 tff(16382,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16381, 16379])).
% 72.99/46.19 tff(16383,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16384,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16383, 16382])).
% 72.99/46.19 tff(16385,plain,
% 72.99/46.19 (v101(constB98) | (~v102(constB98))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16384, 545, 16349, 16378])).
% 72.99/46.19 tff(16386,plain,
% 72.99/46.19 (v101(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16385, 16375])).
% 72.99/46.19 tff(16387,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16388,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16389,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16388])).
% 72.99/46.19 tff(16390,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16389, 16387])).
% 72.99/46.19 tff(16391,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16392,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 72.99/46.19 tff(16393,plain,
% 72.99/46.19 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16392, 563, 16349])).
% 72.99/46.19 tff(16394,plain,
% 72.99/46.19 (v100(constB98) | (~v110(constB98))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16393, 16386])).
% 72.99/46.19 tff(16395,plain,
% 72.99/46.19 (~v110(constB98)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16394, 16363])).
% 72.99/46.19 tff(16396,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16397,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16398,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16397])).
% 72.99/46.19 tff(16399,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16398, 16396])).
% 72.99/46.19 tff(16400,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16401,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16400, 16399])).
% 72.99/46.19 tff(16402,plain,
% 72.99/46.19 (v110(constB98) | (~v108(constB97))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16401, 492, 16349])).
% 72.99/46.19 tff(16403,plain,
% 72.99/46.19 (~v108(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16402, 16395])).
% 72.99/46.19 tff(16404,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16405,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16406,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16405, 16404])).
% 72.99/46.19 tff(16407,plain,
% 72.99/46.19 (~v112(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16406, 475, 16403])).
% 72.99/46.19 tff(16408,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16409,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16410,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 72.99/46.19 tff(16411,plain,
% 72.99/46.19 ((~v113(constB97)) | v112(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16410, 463, 16338])).
% 72.99/46.19 tff(16412,plain,
% 72.99/46.19 (~v113(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16411, 16407])).
% 72.99/46.19 tff(16413,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB97) | (~v114(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB97) | (~v114(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16414,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB97) | (~v114(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16415,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB97) | (~v114(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 72.99/46.19 tff(16416,plain,
% 72.99/46.19 (~v114(constB97)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16415, 449, 16412])).
% 72.99/46.19 tff(16417,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB97) | (~v115(constB97)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16418,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB97) | (~v115(constB97)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16419,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB97) | (~v115(constB97))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16418, 16417])).
% 72.99/46.19 tff(16420,plain,
% 72.99/46.19 ($false),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16419, 438, 16416, 16330])).
% 72.99/46.19 tff(16421,plain,((~v120(constB97)) | (~v90(constB98, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.99/46.19 tff(16422,plain,
% 72.99/46.19 (~v90(constB98, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16421, 16314])).
% 72.99/46.19 tff(16423,plain,
% 72.99/46.19 ((~v1(constB99)) <=> (~v1(constB99))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16424,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 72.99/46.19 tff(16425,plain,
% 72.99/46.19 (~v1(constB99)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 72.99/46.19 tff(16426,plain,
% 72.99/46.19 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16427,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 72.99/46.19 tff(16428,plain,
% 72.99/46.19 (nextState(constB98, constB99)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16427, 16426])).
% 72.99/46.19 tff(16429,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16430,plain,
% 72.99/46.19 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16431,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16430])).
% 72.99/46.19 tff(16432,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16431, 16429])).
% 72.99/46.19 tff(16433,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16434,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16433, 16432])).
% 72.99/46.19 tff(16435,plain,
% 72.99/46.19 (~v101(constB99)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16434, 288, 16428, 16425])).
% 72.99/46.19 tff(16436,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16437,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16438,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16437, 16436])).
% 72.99/46.19 tff(16439,plain,
% 72.99/46.19 (v101(constB99) | (~v100(constB99))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16438, 305, 16428])).
% 72.99/46.19 tff(16440,plain,
% 72.99/46.19 (~v100(constB99)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16439, 16435])).
% 72.99/46.19 tff(16441,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16442,plain,
% 72.99/46.19 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16443,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16442])).
% 72.99/46.19 tff(16444,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16443, 16441])).
% 72.99/46.19 tff(16445,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16446,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 72.99/46.19 tff(16447,plain,
% 72.99/46.19 (v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16446, 362, 16428])).
% 72.99/46.19 tff(16448,plain,
% 72.99/46.19 (v90(constB98, bitIndex0) | (~v90(constB99, bitIndex0))),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16447, 16440])).
% 72.99/46.19 tff(16449,plain,
% 72.99/46.19 (~v90(constB99, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16448, 16422])).
% 72.99/46.19 tff(16450,plain,
% 72.99/46.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16451,plain,
% 72.99/46.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16452,plain,
% 72.99/46.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 72.99/46.19 tff(16453,plain,
% 72.99/46.19 (v130(constB97, bitIndex1)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16452, 1649, 16314])).
% 72.99/46.19 tff(16454,plain,
% 72.99/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16455,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16456,plain,
% 72.99/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 72.99/46.19 tff(16457,plain,
% 72.99/46.19 ((~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16456, 990, 16338])).
% 72.99/46.19 tff(16458,plain,
% 72.99/46.19 (v127(constB97, bitIndex1)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16457, 16453])).
% 72.99/46.19 tff(16459,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16460,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16461,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 72.99/46.19 tff(16462,plain,
% 72.99/46.19 ((~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16461, 1005, 16349])).
% 72.99/46.19 tff(16463,plain,
% 72.99/46.19 (v129(constB98, bitIndex1)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16462, 16458])).
% 72.99/46.19 tff(16464,assumption,(~v100(constB98)), introduced(assumption)).
% 72.99/46.19 tff(16465,assumption,(~v90(constB98, bitIndex0)), introduced(assumption)).
% 72.99/46.19 tff(16466,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16467,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex0)) | v100(constB98) | v90(constB98, bitIndex0)) <=> ((~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16468,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex0)) | v100(constB98) | v90(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0)))),
% 72.99/46.19 inference(monotonicity,[status(thm)],[16467])).
% 72.99/46.19 tff(16469,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex0)) | v100(constB98) | v90(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0))),
% 72.99/46.19 inference(transitivity,[status(thm)],[16468, 16466])).
% 72.99/46.19 tff(16470,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex0)) | v100(constB98) | v90(constB98, bitIndex0))),
% 72.99/46.19 inference(quant_inst,[status(thm)],[])).
% 72.99/46.19 tff(16471,plain,
% 72.99/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB97, bitIndex0)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex0)),
% 72.99/46.19 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 72.99/46.19 tff(16472,plain,
% 72.99/46.19 ((~v90(constB97, bitIndex0)) | v100(constB98) | v90(constB98, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16471, 1461, 16349])).
% 72.99/46.19 tff(16473,plain,
% 72.99/46.19 (~v90(constB97, bitIndex0)),
% 72.99/46.19 inference(unit_resolution,[status(thm)],[16472, 16465, 16464])).
% 72.99/46.19 tff(16474,assumption,(~v90(constB98, bitIndex2)), introduced(assumption)).
% 72.99/46.19 tff(16475,plain,
% 72.99/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2))),
% 72.99/46.19 inference(rewrite,[status(thm)],[])).
% 72.99/46.19 tff(16476,plain,
% 72.99/46.19 (((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex2)) | v100(constB98) | v90(constB98, bitIndex2)) <=> ((~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16477,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex2)) | v100(constB98) | v90(constB98, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2)))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16476])).
% 72.99/46.20 tff(16478,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex2)) | v100(constB98) | v90(constB98, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16477, 16475])).
% 72.99/46.20 tff(16479,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex2)) | v100(constB98) | v90(constB98, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16480,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB97, bitIndex2)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 72.99/46.20 tff(16481,plain,
% 72.99/46.20 ((~v90(constB97, bitIndex2)) | v100(constB98) | v90(constB98, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16480, 662, 16349])).
% 72.99/46.20 tff(16482,plain,
% 72.99/46.20 (~v90(constB97, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16481, 16464, 16474])).
% 72.99/46.20 tff(16483,assumption,(~v90(constB98, bitIndex1)), introduced(assumption)).
% 72.99/46.20 tff(16484,assumption,(~v26(constB97)), introduced(assumption)).
% 72.99/46.20 tff(16485,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16486,plain,
% 72.99/46.20 (((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex1)) | v100(constB98) | v90(constB98, bitIndex1)) <=> ((~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16487,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex1)) | v100(constB98) | v90(constB98, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1)))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16486])).
% 72.99/46.20 tff(16488,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex1)) | v100(constB98) | v90(constB98, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16487, 16485])).
% 72.99/46.20 tff(16489,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, bitIndex1)) | v100(constB98) | v90(constB98, bitIndex1))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16490,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB97, bitIndex1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, bitIndex1)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 72.99/46.20 tff(16491,plain,
% 72.99/46.20 ((~v90(constB97, bitIndex1)) | v100(constB98) | v90(constB98, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16490, 1038, 16349])).
% 72.99/46.20 tff(16492,plain,
% 72.99/46.20 (~v90(constB97, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16491, 16464, 16483])).
% 72.99/46.20 tff(16493,plain,
% 72.99/46.20 (~v90(constB97, bitIndex0)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16472, 16464, 16465])).
% 72.99/46.20 tff(16494,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB97) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB97) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16495,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB97) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16496,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB97) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16495, 16494])).
% 72.99/46.20 tff(16497,plain,
% 72.99/46.20 (v119(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16496, 383, 16493, 16492, 16482])).
% 72.99/46.20 tff(16498,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB97) | (~v119(constB97)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB97) | (~v119(constB97)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16499,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB97) | (~v119(constB97)))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16500,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB97) | (~v119(constB97))),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 72.99/46.20 tff(16501,plain,
% 72.99/46.20 (v118(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16500, 394, 16497])).
% 72.99/46.20 tff(16502,plain,
% 72.99/46.20 (v117(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16321, 405, 16501])).
% 72.99/46.20 tff(16503,plain,
% 72.99/46.20 (v116(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16325, 416, 16502])).
% 72.99/46.20 tff(16504,plain,
% 72.99/46.20 (~v110(constB98)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16394, 16464])).
% 72.99/46.20 tff(16505,plain,
% 72.99/46.20 (~v108(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16402, 16504])).
% 72.99/46.20 tff(16506,plain,
% 72.99/46.20 (~v112(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16406, 475, 16505])).
% 72.99/46.20 tff(16507,plain,
% 72.99/46.20 ((~v113(constB97)) | v112(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16410, 463, 16484])).
% 72.99/46.20 tff(16508,plain,
% 72.99/46.20 (~v113(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16507, 16506])).
% 72.99/46.20 tff(16509,plain,
% 72.99/46.20 (~v114(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16415, 449, 16508])).
% 72.99/46.20 tff(16510,plain,
% 72.99/46.20 (~v115(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16419, 438, 16509])).
% 72.99/46.20 tff(16511,plain,
% 72.99/46.20 ($false),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16329, 427, 16510, 16503])).
% 72.99/46.20 tff(16512,plain,(v100(constB98) | v26(constB97) | v90(constB98, bitIndex1) | v90(constB98, bitIndex2) | v90(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.20 tff(16513,plain,
% 72.99/46.20 (v100(constB98)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16512, 16484, 16483, 16474, 16465])).
% 72.99/46.20 tff(16514,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16515,plain,
% 72.99/46.20 ((v90(constB98, bitIndex2) | (~v100(constB98)) | (~v129(constB98, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16516,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~v100(constB98)) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98))))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16515])).
% 72.99/46.20 tff(16517,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~v100(constB98)) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98)))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16516, 16514])).
% 72.99/46.20 tff(16518,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~v100(constB98)) | (~v129(constB98, bitIndex2)))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16519,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~v129(constB98, bitIndex2)) | (~v100(constB98))),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16518, 16517])).
% 72.99/46.20 tff(16520,plain,
% 72.99/46.20 ((~v129(constB98, bitIndex2)) | (~v100(constB98))),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16519, 626, 16474])).
% 72.99/46.20 tff(16521,plain,
% 72.99/46.20 (~v129(constB98, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16520, 16513])).
% 72.99/46.20 tff(16522,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex2)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex2)) | v129(constB98, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16523,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex2)) | v129(constB98, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16524,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex2)) | v129(constB98, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 72.99/46.20 tff(16525,plain,
% 72.99/46.20 ((~v127(constB97, bitIndex2)) | v129(constB98, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16524, 611, 16349])).
% 72.99/46.20 tff(16526,plain,
% 72.99/46.20 (~v127(constB97, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16525, 16521])).
% 72.99/46.20 tff(16527,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB97) | (~v130(constB97, bitIndex2)) | v127(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB97) | (~v130(constB97, bitIndex2)) | v127(constB97, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16528,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB97) | (~v130(constB97, bitIndex2)) | v127(constB97, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16529,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB97) | (~v130(constB97, bitIndex2)) | v127(constB97, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16528, 16527])).
% 72.99/46.20 tff(16530,plain,
% 72.99/46.20 ((~v130(constB97, bitIndex2)) | v127(constB97, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16529, 596, 16484])).
% 72.99/46.20 tff(16531,plain,
% 72.99/46.20 (~v130(constB97, bitIndex2)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16530, 16526])).
% 72.99/46.20 tff(16532,plain,
% 72.99/46.20 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB97)) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16533,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16534,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB97)) | v130(constB97, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 72.99/46.20 tff(16535,plain,
% 72.99/46.20 (~v122(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16534, 2079, 16531])).
% 72.99/46.20 tff(16536,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16537,plain,
% 72.99/46.20 ((v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16538,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16537])).
% 72.99/46.20 tff(16539,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16538, 16536])).
% 72.99/46.20 tff(16540,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16541,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 72.99/46.20 tff(16542,plain,
% 72.99/46.20 ((~v129(constB98, bitIndex1)) | (~v100(constB98))),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16541, 1020, 16483])).
% 72.99/46.20 tff(16543,plain,
% 72.99/46.20 (~v129(constB98, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16542, 16513])).
% 72.99/46.20 tff(16544,plain,
% 72.99/46.20 (~v127(constB97, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16462, 16543])).
% 72.99/46.20 tff(16545,plain,
% 72.99/46.20 ((~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16456, 990, 16484])).
% 72.99/46.20 tff(16546,plain,
% 72.99/46.20 (~v130(constB97, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16545, 16544])).
% 72.99/46.20 tff(16547,plain,
% 72.99/46.20 (~v120(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16452, 1649, 16546])).
% 72.99/46.20 tff(16548,assumption,(~v127(constB97, bitIndex0)), introduced(assumption)).
% 72.99/46.20 tff(16549,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16550,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16551,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 72.99/46.20 tff(16552,plain,
% 72.99/46.20 (v26(constB97) | (~v130(constB97, bitIndex0))),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16551, 1413, 16548])).
% 72.99/46.20 tff(16553,plain,
% 72.99/46.20 (~v130(constB97, bitIndex0)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16552, 16484])).
% 72.99/46.20 tff(16554,plain,
% 72.99/46.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB97)) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB97)) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16555,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB97)) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16556,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB97)) | v130(constB97, bitIndex0)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16555, 16554])).
% 72.99/46.20 tff(16557,plain,
% 72.99/46.20 (~v121(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16556, 1945, 16553])).
% 72.99/46.20 tff(16558,plain,
% 72.99/46.20 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB97)) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB97)) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16559,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB97)) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16560,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB97)) | v130(constB97, bitIndex0)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16559, 16558])).
% 72.99/46.20 tff(16561,plain,
% 72.99/46.20 (~v124(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16560, 3911, 16553])).
% 72.99/46.20 tff(16562,plain,
% 72.99/46.20 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB97)) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16563,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16564,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB97)) | v130(constB97, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 72.99/46.20 tff(16565,plain,
% 72.99/46.20 (~v123(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16564, 917, 16531])).
% 72.99/46.20 tff(16566,plain,
% 72.99/46.20 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB97)) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16567,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB97)) | v130(constB97, bitIndex2))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16568,plain,
% 72.99/46.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB97)) | v130(constB97, bitIndex2)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16567, 16566])).
% 72.99/46.20 tff(16569,plain,
% 72.99/46.20 (~v119(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16568, 582, 16531])).
% 72.99/46.20 tff(16570,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16571,plain,
% 72.99/46.20 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16572,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16571])).
% 72.99/46.20 tff(16573,plain,
% 72.99/46.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16572, 16570])).
% 72.99/46.20 tff(16574,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16575,plain,
% 72.99/46.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 72.99/46.20 tff(16576,plain,
% 72.99/46.20 (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16575, 1396, 16553])).
% 72.99/46.20 tff(16577,plain,
% 72.99/46.20 ($false),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16576, 16569, 16565, 16561, 16557, 16547, 16535])).
% 72.99/46.20 tff(16578,plain,(v26(constB97) | v90(constB98, bitIndex1) | v90(constB98, bitIndex2) | v90(constB98, bitIndex0) | v127(constB97, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.20 tff(16579,plain,
% 72.99/46.20 (v127(constB97, bitIndex0)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16578, 16483, 16338, 16465, 16474])).
% 72.99/46.20 tff(16580,plain,
% 72.99/46.20 (v100(constB98)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16512, 16483, 16338, 16474, 16465])).
% 72.99/46.20 tff(16581,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16582,plain,
% 72.99/46.20 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16583,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16582])).
% 72.99/46.20 tff(16584,plain,
% 72.99/46.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16583, 16581])).
% 72.99/46.20 tff(16585,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16586,plain,
% 72.99/46.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 72.99/46.20 tff(16587,plain,
% 72.99/46.20 ((~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16586, 1443, 16465])).
% 72.99/46.20 tff(16588,plain,
% 72.99/46.20 (~v129(constB98, bitIndex0)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16587, 16580])).
% 72.99/46.20 tff(16589,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16590,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16591,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 72.99/46.20 tff(16592,plain,
% 72.99/46.20 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16591, 1428, 16349])).
% 72.99/46.20 tff(16593,plain,
% 72.99/46.20 ($false),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16592, 16588, 16579])).
% 72.99/46.20 tff(16594,plain,(v90(constB98, bitIndex1) | v90(constB98, bitIndex0) | v90(constB98, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.20 tff(16595,plain,
% 72.99/46.20 (v90(constB98, bitIndex1)),
% 72.99/46.20 inference(unit_resolution,[status(thm)],[16594, 16474, 16465])).
% 72.99/46.20 tff(16596,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16597,plain,
% 72.99/46.20 (((~nextState(constB97, constB98)) | v90(constB97, bitIndex1) | v100(constB98) | (~v90(constB98, bitIndex1))) <=> (v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1)))),
% 72.99/46.20 inference(rewrite,[status(thm)],[])).
% 72.99/46.20 tff(16598,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex1) | v100(constB98) | (~v90(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1))))),
% 72.99/46.20 inference(monotonicity,[status(thm)],[16597])).
% 72.99/46.20 tff(16599,plain,
% 72.99/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex1) | v100(constB98) | (~v90(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1)))),
% 72.99/46.20 inference(transitivity,[status(thm)],[16598, 16596])).
% 72.99/46.20 tff(16600,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex1) | v100(constB98) | (~v90(constB98, bitIndex1)))),
% 72.99/46.20 inference(quant_inst,[status(thm)],[])).
% 72.99/46.20 tff(16601,plain,
% 72.99/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex1))),
% 72.99/46.20 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 72.99/46.20 tff(16602,plain,
% 72.99/46.20 (v90(constB97, bitIndex1) | v100(constB98) | (~v90(constB98, bitIndex1))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16601, 341, 16349])).
% 72.99/46.21 tff(16603,plain,
% 72.99/46.21 (v90(constB97, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16602, 16464, 16595])).
% 72.99/46.21 tff(16604,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex2) | v121(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex2) | v121(constB97))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16605,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex2) | v121(constB97))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16606,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex2) | v121(constB97)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 72.99/46.21 tff(16607,plain,
% 72.99/46.21 (v121(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16606, 1734, 16493, 16603, 16482])).
% 72.99/46.21 tff(16608,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB97) | (~v121(constB97)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB97) | (~v121(constB97)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16609,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB97) | (~v121(constB97)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16610,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB97) | (~v121(constB97))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 72.99/46.21 tff(16611,plain,
% 72.99/46.21 (v117(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16610, 1775, 16607])).
% 72.99/46.21 tff(16612,plain,
% 72.99/46.21 (v116(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16325, 416, 16611])).
% 72.99/46.21 tff(16613,plain,
% 72.99/46.21 (~v113(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16411, 16506])).
% 72.99/46.21 tff(16614,plain,
% 72.99/46.21 (~v114(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16415, 449, 16613])).
% 72.99/46.21 tff(16615,plain,
% 72.99/46.21 (~v115(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16419, 438, 16614])).
% 72.99/46.21 tff(16616,plain,
% 72.99/46.21 ($false),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16329, 427, 16615, 16612])).
% 72.99/46.21 tff(16617,plain,(v100(constB98) | v90(constB98, bitIndex2) | v90(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.21 tff(16618,plain,
% 72.99/46.21 (v90(constB98, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16617, 16465, 16464])).
% 72.99/46.21 tff(16619,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16620,plain,
% 72.99/46.21 (((~nextState(constB97, constB98)) | v90(constB97, bitIndex2) | v100(constB98) | (~v90(constB98, bitIndex2))) <=> (v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16621,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex2) | v100(constB98) | (~v90(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2))))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16620])).
% 72.99/46.21 tff(16622,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex2) | v100(constB98) | (~v90(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2)))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16621, 16619])).
% 72.99/46.21 tff(16623,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v90(constB97, bitIndex2) | v100(constB98) | (~v90(constB98, bitIndex2)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16624,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB97, bitIndex2) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, bitIndex2))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 72.99/46.21 tff(16625,plain,
% 72.99/46.21 (v90(constB97, bitIndex2) | v100(constB98) | (~v90(constB98, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16624, 320, 16349])).
% 72.99/46.21 tff(16626,plain,
% 72.99/46.21 (v90(constB97, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16625, 16618, 16464])).
% 72.99/46.21 tff(16627,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16628,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16629,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 72.99/46.21 tff(16630,plain,
% 72.99/46.21 (~v125(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16629, 1112, 16613])).
% 72.99/46.21 tff(16631,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16632,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16633,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 72.99/46.21 tff(16634,plain,
% 72.99/46.21 (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16633, 1101, 16630])).
% 72.99/46.21 tff(16635,plain,
% 72.99/46.21 (~v90(constB97, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16634, 16626, 16473])).
% 72.99/46.21 tff(16636,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB97) | (~v123(constB97)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB97) | (~v123(constB97)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16637,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB97) | (~v123(constB97)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16638,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB97) | (~v123(constB97))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16637, 16636])).
% 72.99/46.21 tff(16639,plain,
% 72.99/46.21 (~v123(constB97)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16638, 840, 16615])).
% 72.99/46.21 tff(16640,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | v123(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | v123(constB97))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16641,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | v123(constB97))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16642,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | v123(constB97)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16641, 16640])).
% 72.99/46.21 tff(16643,plain,
% 72.99/46.21 (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16642, 829, 16639])).
% 72.99/46.21 tff(16644,plain,
% 72.99/46.21 ($false),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16643, 16635, 16626, 16473])).
% 72.99/46.21 tff(16645,plain,(v90(constB98, bitIndex0) | v100(constB98)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.21 tff(16646,plain,
% 72.99/46.21 (v100(constB98)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16645, 16422])).
% 72.99/46.21 tff(16647,plain,
% 72.99/46.21 (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16541, 1020, 16646])).
% 72.99/46.21 tff(16648,plain,
% 72.99/46.21 (v90(constB98, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16647, 16463])).
% 72.99/46.21 tff(16649,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16650,plain,
% 72.99/46.21 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16651,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16650])).
% 72.99/46.21 tff(16652,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16651, 16649])).
% 72.99/46.21 tff(16653,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16654,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 72.99/46.21 tff(16655,plain,
% 72.99/46.21 ((~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16654, 1038, 16428])).
% 72.99/46.21 tff(16656,plain,
% 72.99/46.21 ((~v90(constB98, bitIndex1)) | v90(constB99, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16655, 16440])).
% 72.99/46.21 tff(16657,plain,
% 72.99/46.21 (v90(constB99, bitIndex1)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16656, 16648])).
% 72.99/46.21 tff(16658,plain,
% 72.99/46.21 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16659,plain,
% 72.99/46.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16660,plain,
% 72.99/46.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 72.99/46.21 tff(16661,plain,
% 72.99/46.21 (~v130(constB97, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16660, 1587, 16314])).
% 72.99/46.21 tff(16662,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16663,plain,
% 72.99/46.21 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16664,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16663])).
% 72.99/46.21 tff(16665,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16664, 16662])).
% 72.99/46.21 tff(16666,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16667,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 72.99/46.21 tff(16668,plain,
% 72.99/46.21 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16667, 1271, 16338])).
% 72.99/46.21 tff(16669,plain,
% 72.99/46.21 (~v127(constB97, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16668, 16661])).
% 72.99/46.21 tff(16670,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16671,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16672,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16671, 16670])).
% 72.99/46.21 tff(16673,plain,
% 72.99/46.21 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16672, 1289, 16349])).
% 72.99/46.21 tff(16674,plain,
% 72.99/46.21 (~v129(constB98, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16673, 16669])).
% 72.99/46.21 tff(16675,plain,
% 72.99/46.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16676,plain,
% 72.99/46.21 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16677,plain,
% 72.99/46.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16676])).
% 72.99/46.21 tff(16678,plain,
% 72.99/46.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16677, 16675])).
% 72.99/46.21 tff(16679,plain,
% 72.99/46.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16680,plain,
% 72.99/46.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 72.99/46.21 tff(16681,plain,
% 72.99/46.21 ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16680, 1304, 16646])).
% 72.99/46.21 tff(16682,plain,
% 72.99/46.21 (~v90(constB98, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16681, 16674])).
% 72.99/46.21 tff(16683,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16684,plain,
% 72.99/46.21 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16685,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16684])).
% 72.99/46.21 tff(16686,plain,
% 72.99/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16685, 16683])).
% 72.99/46.21 tff(16687,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16688,plain,
% 72.99/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16687, 16686])).
% 72.99/46.21 tff(16689,plain,
% 72.99/46.21 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16688, 320, 16428])).
% 72.99/46.21 tff(16690,plain,
% 72.99/46.21 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16689, 16440])).
% 72.99/46.21 tff(16691,plain,
% 72.99/46.21 (~v90(constB99, bitIndex2)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16690, 16682])).
% 72.99/46.21 tff(16692,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16693,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16694,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16693, 16692])).
% 72.99/46.21 tff(16695,plain,
% 72.99/46.21 ((~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16694, 1734, 16449])).
% 72.99/46.21 tff(16696,plain,
% 72.99/46.21 (v121(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16695, 16691, 16657])).
% 72.99/46.21 tff(16697,plain,
% 72.99/46.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16698,plain,
% 72.99/46.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16699,plain,
% 72.99/46.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0)),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 72.99/46.21 tff(16700,plain,
% 72.99/46.21 (v130(constB99, bitIndex0)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16699, 1945, 16696])).
% 72.99/46.21 tff(16701,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB99) | (~v121(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB99) | (~v121(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16702,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB99) | (~v121(constB99)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16703,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB99) | (~v121(constB99))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16702, 16701])).
% 72.99/46.21 tff(16704,plain,
% 72.99/46.21 (v117(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16703, 1775, 16696])).
% 72.99/46.21 tff(16705,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16706,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16707,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 72.99/46.21 tff(16708,plain,
% 72.99/46.21 (v116(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16707, 416, 16704])).
% 72.99/46.21 tff(16709,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16710,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16711,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 72.99/46.21 tff(16712,plain,
% 72.99/46.21 (v115(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16711, 427, 16708])).
% 72.99/46.21 tff(16713,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16714,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16715,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 72.99/46.21 tff(16716,plain,
% 72.99/46.21 (v114(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16715, 438, 16712])).
% 72.99/46.21 tff(16717,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16718,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16719,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 72.99/46.21 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 72.99/46.21 tff(16720,plain,
% 72.99/46.21 (v113(constB99)),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16719, 449, 16716])).
% 72.99/46.21 tff(16721,assumption,(v26(constB99)), introduced(assumption)).
% 72.99/46.21 tff(16722,plain,
% 72.99/46.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 72.99/46.21 inference(quant_inst,[status(thm)],[])).
% 72.99/46.21 tff(16723,plain,
% 72.99/46.21 ($false),
% 72.99/46.21 inference(unit_resolution,[status(thm)],[16722, 26, 16721])).
% 72.99/46.21 tff(16724,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 72.99/46.21 tff(16725,assumption,(~v26(constB99)), introduced(assumption)).
% 72.99/46.21 tff(16726,assumption,(v113(constB99)), introduced(assumption)).
% 72.99/46.21 tff(16727,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16728,plain,
% 72.99/46.21 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 72.99/46.21 inference(rewrite,[status(thm)],[])).
% 72.99/46.21 tff(16729,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 72.99/46.21 inference(monotonicity,[status(thm)],[16728])).
% 72.99/46.21 tff(16730,plain,
% 72.99/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 72.99/46.21 inference(transitivity,[status(thm)],[16729, 16727])).
% 72.99/46.22 tff(16731,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16732,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 72.99/46.22 tff(16733,plain,
% 72.99/46.22 (v26(constB99) | v112(constB99)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16732, 463, 16726])).
% 72.99/46.22 tff(16734,plain,
% 72.99/46.22 (v112(constB99)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16733, 16725])).
% 72.99/46.22 tff(16735,assumption,(v130(constB99, bitIndex0)), introduced(assumption)).
% 72.99/46.22 tff(16736,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16737,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16738,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16737, 16736])).
% 72.99/46.22 tff(16739,plain,
% 72.99/46.22 (v26(constB99) | v127(constB99, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16738, 1413, 16735])).
% 72.99/46.22 tff(16740,plain,
% 72.99/46.22 (v127(constB99, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16739, 16725])).
% 72.99/46.22 tff(16741,plain,
% 72.99/46.22 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16742,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 72.99/46.22 tff(16743,plain,
% 72.99/46.22 (nextState(constB99, constB100)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 72.99/46.22 tff(16744,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16745,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16746,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 72.99/46.22 tff(16747,plain,
% 72.99/46.22 ((~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16746, 1428, 16743])).
% 72.99/46.22 tff(16748,plain,
% 72.99/46.22 (v129(constB100, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16747, 16740])).
% 72.99/46.22 tff(16749,assumption,(~v90(constB100, bitIndex0)), introduced(assumption)).
% 72.99/46.22 tff(16750,plain,
% 72.99/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16751,plain,
% 72.99/46.22 ((v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16752,plain,
% 72.99/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16751])).
% 72.99/46.22 tff(16753,plain,
% 72.99/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16752, 16750])).
% 72.99/46.22 tff(16754,plain,
% 72.99/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16755,plain,
% 72.99/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 72.99/46.22 tff(16756,plain,
% 72.99/46.22 ((~v129(constB100, bitIndex0)) | (~v100(constB100))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16755, 1443, 16749])).
% 72.99/46.22 tff(16757,plain,
% 72.99/46.22 (~v100(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16756, 16748])).
% 72.99/46.22 tff(16758,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16759,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16760,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 72.99/46.22 tff(16761,plain,
% 72.99/46.22 (~v104(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16760, 510, 16743, 16425])).
% 72.99/46.22 tff(16762,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16763,plain,
% 72.99/46.22 (((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16764,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16763])).
% 72.99/46.22 tff(16765,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16764, 16762])).
% 72.99/46.22 tff(16766,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16767,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 72.99/46.22 tff(16768,plain,
% 72.99/46.22 (v104(constB100) | v102(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16767, 524, 16743])).
% 72.99/46.22 tff(16769,plain,
% 72.99/46.22 (v102(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16768, 16761])).
% 72.99/46.22 tff(16770,plain,
% 72.99/46.22 (v1(constB100) <=> v1(constB100)),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16771,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 72.99/46.22 tff(16772,plain,
% 72.99/46.22 (v1(constB100)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 72.99/46.22 tff(16773,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16774,plain,
% 72.99/46.22 (((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))) <=> ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16775,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16774])).
% 72.99/46.22 tff(16776,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16775, 16773])).
% 72.99/46.22 tff(16777,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16778,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 72.99/46.22 tff(16779,plain,
% 72.99/46.22 (v101(constB100) | (~v102(constB100))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16778, 545, 16743, 16772])).
% 72.99/46.22 tff(16780,plain,
% 72.99/46.22 (v101(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16779, 16769])).
% 72.99/46.22 tff(16781,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16782,plain,
% 72.99/46.22 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16783,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16782])).
% 72.99/46.22 tff(16784,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16783, 16781])).
% 72.99/46.22 tff(16785,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16786,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16785, 16784])).
% 72.99/46.22 tff(16787,plain,
% 72.99/46.22 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16786, 563, 16743])).
% 72.99/46.22 tff(16788,plain,
% 72.99/46.22 (v100(constB100) | (~v110(constB100))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16787, 16780])).
% 72.99/46.22 tff(16789,plain,
% 72.99/46.22 (~v110(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16788, 16757])).
% 72.99/46.22 tff(16790,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16791,plain,
% 72.99/46.22 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16792,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16791])).
% 72.99/46.22 tff(16793,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16792, 16790])).
% 72.99/46.22 tff(16794,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16795,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 72.99/46.22 tff(16796,plain,
% 72.99/46.22 (v110(constB100) | (~v108(constB99))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16795, 492, 16743])).
% 72.99/46.22 tff(16797,plain,
% 72.99/46.22 (~v108(constB99)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16796, 16789])).
% 72.99/46.22 tff(16798,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16799,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16800,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16799, 16798])).
% 72.99/46.22 tff(16801,plain,
% 72.99/46.22 ($false),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16800, 475, 16797, 16734])).
% 72.99/46.22 tff(16802,plain,(v26(constB99) | v90(constB100, bitIndex0) | (~v113(constB99)) | (~v130(constB99, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.99/46.22 tff(16803,plain,
% 72.99/46.22 (v90(constB100, bitIndex0) | (~v113(constB99)) | (~v130(constB99, bitIndex0))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16802, 16724])).
% 72.99/46.22 tff(16804,plain,
% 72.99/46.22 (v90(constB100, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16803, 16720, 16700])).
% 72.99/46.22 tff(16805,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16806,plain,
% 72.99/46.22 (((~nextState(constB99, constB100)) | v90(constB99, bitIndex0) | v100(constB100) | (~v90(constB100, bitIndex0))) <=> (v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16807,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex0) | v100(constB100) | (~v90(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16806])).
% 72.99/46.22 tff(16808,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex0) | v100(constB100) | (~v90(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16807, 16805])).
% 72.99/46.22 tff(16809,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex0) | v100(constB100) | (~v90(constB100, bitIndex0)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16810,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex0))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 72.99/46.22 tff(16811,plain,
% 72.99/46.22 (v90(constB99, bitIndex0) | v100(constB100) | (~v90(constB100, bitIndex0))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16810, 362, 16743])).
% 72.99/46.22 tff(16812,plain,
% 72.99/46.22 (v100(constB100)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16811, 16804, 16449])).
% 72.99/46.22 tff(16813,plain,
% 72.99/46.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16814,plain,
% 72.99/46.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16815,plain,
% 72.99/46.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 72.99/46.22 tff(16816,plain,
% 72.99/46.22 (~v130(constB99, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16815, 1748, 16696])).
% 72.99/46.22 tff(16817,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16818,plain,
% 72.99/46.22 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16819,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16818])).
% 72.99/46.22 tff(16820,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16819, 16817])).
% 72.99/46.22 tff(16821,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16822,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 72.99/46.22 tff(16823,plain,
% 72.99/46.22 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16822, 1271, 16724])).
% 72.99/46.22 tff(16824,plain,
% 72.99/46.22 (~v127(constB99, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16823, 16816])).
% 72.99/46.22 tff(16825,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16826,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16827,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 72.99/46.22 tff(16828,plain,
% 72.99/46.22 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16827, 1289, 16743])).
% 72.99/46.22 tff(16829,plain,
% 72.99/46.22 (~v129(constB100, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16828, 16824])).
% 72.99/46.22 tff(16830,plain,
% 72.99/46.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16831,plain,
% 72.99/46.22 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16832,plain,
% 72.99/46.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16831])).
% 72.99/46.22 tff(16833,plain,
% 72.99/46.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16832, 16830])).
% 72.99/46.22 tff(16834,plain,
% 72.99/46.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16835,plain,
% 72.99/46.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 72.99/46.22 tff(16836,plain,
% 72.99/46.22 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16835, 1304, 16829])).
% 72.99/46.22 tff(16837,plain,
% 72.99/46.22 (~v90(constB100, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16836, 16812])).
% 72.99/46.22 tff(16838,plain,
% 72.99/46.22 ((~v1(constB101)) <=> (~v1(constB101))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16839,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 72.99/46.22 tff(16840,plain,
% 72.99/46.22 (~v1(constB101)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 72.99/46.22 tff(16841,plain,
% 72.99/46.22 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16842,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 72.99/46.22 tff(16843,plain,
% 72.99/46.22 (nextState(constB100, constB101)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 72.99/46.22 tff(16844,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16845,plain,
% 72.99/46.22 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16846,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16845])).
% 72.99/46.22 tff(16847,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16846, 16844])).
% 72.99/46.22 tff(16848,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16849,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 72.99/46.22 tff(16850,plain,
% 72.99/46.22 (~v101(constB101)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16849, 288, 16843, 16840])).
% 72.99/46.22 tff(16851,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16852,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16853,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 72.99/46.22 tff(16854,plain,
% 72.99/46.22 (v101(constB101) | (~v100(constB101))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16853, 305, 16843])).
% 72.99/46.22 tff(16855,plain,
% 72.99/46.22 (~v100(constB101)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16854, 16850])).
% 72.99/46.22 tff(16856,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16857,plain,
% 72.99/46.22 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16858,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16857])).
% 72.99/46.22 tff(16859,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16858, 16856])).
% 72.99/46.22 tff(16860,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16861,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 72.99/46.22 tff(16862,plain,
% 72.99/46.22 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16861, 320, 16843])).
% 72.99/46.22 tff(16863,plain,
% 72.99/46.22 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16862, 16855])).
% 72.99/46.22 tff(16864,plain,
% 72.99/46.22 (~v90(constB101, bitIndex2)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16863, 16837])).
% 72.99/46.22 tff(16865,plain,
% 72.99/46.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB98, bitIndex2) | (~v125(constB98)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB98, bitIndex2) | (~v125(constB98)))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16866,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB98, bitIndex2) | (~v125(constB98)))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16867,plain,
% 72.99/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB98, bitIndex2) | (~v125(constB98))),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 72.99/46.22 tff(16868,plain,
% 72.99/46.22 (~v125(constB98)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16867, 9586, 16682])).
% 72.99/46.22 tff(16869,assumption,(~v90(constB99, bitIndex0)), introduced(assumption)).
% 72.99/46.22 tff(16870,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16871,plain,
% 72.99/46.22 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 72.99/46.22 inference(rewrite,[status(thm)],[])).
% 72.99/46.22 tff(16872,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)))),
% 72.99/46.22 inference(monotonicity,[status(thm)],[16871])).
% 72.99/46.22 tff(16873,plain,
% 72.99/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 72.99/46.22 inference(transitivity,[status(thm)],[16872, 16870])).
% 72.99/46.22 tff(16874,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))),
% 72.99/46.22 inference(quant_inst,[status(thm)],[])).
% 72.99/46.22 tff(16875,plain,
% 72.99/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)),
% 72.99/46.22 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 72.99/46.22 tff(16876,plain,
% 72.99/46.22 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16875, 1461, 16428])).
% 72.99/46.22 tff(16877,plain,
% 72.99/46.22 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 72.99/46.22 inference(unit_resolution,[status(thm)],[16876, 16440])).
% 73.08/46.23 tff(16878,plain,
% 73.08/46.23 (~v90(constB98, bitIndex0)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16877, 16869])).
% 73.08/46.23 tff(16879,assumption,(v90(constB100, bitIndex0)), introduced(assumption)).
% 73.08/46.23 tff(16880,plain,
% 73.08/46.23 (v100(constB100)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16811, 16869, 16879])).
% 73.08/46.23 tff(16881,plain,
% 73.08/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16882,plain,
% 73.08/46.23 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16883,plain,
% 73.08/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[16882])).
% 73.08/46.23 tff(16884,plain,
% 73.08/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.08/46.23 inference(transitivity,[status(thm)],[16883, 16881])).
% 73.08/46.23 tff(16885,plain,
% 73.08/46.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16886,plain,
% 73.08/46.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 73.08/46.23 tff(16887,plain,
% 73.08/46.23 (v129(constB100, bitIndex0) | (~v100(constB100))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16886, 802, 16879])).
% 73.08/46.23 tff(16888,plain,
% 73.08/46.23 (v129(constB100, bitIndex0)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16887, 16880])).
% 73.08/46.23 tff(16889,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16890,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16891,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 73.08/46.23 tff(16892,plain,
% 73.08/46.23 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16891, 787, 16743])).
% 73.08/46.23 tff(16893,plain,
% 73.08/46.23 (v127(constB99, bitIndex0)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16892, 16888])).
% 73.08/46.23 tff(16894,plain,
% 73.08/46.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v127(constB99, bitIndex0)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16895,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex0)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16896,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v127(constB99, bitIndex0))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 73.08/46.23 tff(16897,plain,
% 73.08/46.23 (~v26(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16896, 3193, 16893])).
% 73.08/46.23 tff(16898,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16899,plain,
% 73.08/46.23 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16900,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[16899])).
% 73.08/46.23 tff(16901,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.08/46.23 inference(transitivity,[status(thm)],[16900, 16898])).
% 73.08/46.23 tff(16902,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16903,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 73.08/46.23 tff(16904,plain,
% 73.08/46.23 (v130(constB99, bitIndex0)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16903, 769, 16893, 16897])).
% 73.08/46.23 tff(16905,plain,
% 73.08/46.23 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16906,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16907,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB99)) | (~v130(constB99, bitIndex0))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 73.08/46.23 tff(16908,plain,
% 73.08/46.23 (~v119(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16907, 755, 16904])).
% 73.08/46.23 tff(16909,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB99, bitIndex0) | (~v120(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB99, bitIndex0) | (~v120(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16910,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB99, bitIndex0) | (~v120(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16911,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB99, bitIndex0) | (~v120(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 73.08/46.23 tff(16912,plain,
% 73.08/46.23 (~v120(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16911, 4101, 16869])).
% 73.08/46.23 tff(16913,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB99) | v119(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB99) | v119(constB99) | (~v118(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16914,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB99) | v119(constB99) | (~v118(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16915,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB99) | v119(constB99) | (~v118(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 73.08/46.23 tff(16916,plain,
% 73.08/46.23 (~v118(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16915, 3443, 16912, 16908])).
% 73.08/46.23 tff(16917,assumption,(~v90(constB100, bitIndex1)), introduced(assumption)).
% 73.08/46.23 tff(16918,plain,
% 73.08/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16919,plain,
% 73.08/46.23 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16920,plain,
% 73.08/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[16919])).
% 73.08/46.23 tff(16921,plain,
% 73.08/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.08/46.23 inference(transitivity,[status(thm)],[16920, 16918])).
% 73.08/46.23 tff(16922,plain,
% 73.08/46.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16923,plain,
% 73.08/46.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 73.08/46.23 tff(16924,plain,
% 73.08/46.23 ((~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16923, 1020, 16917])).
% 73.08/46.23 tff(16925,plain,
% 73.08/46.23 (~v129(constB100, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16924, 16880])).
% 73.08/46.23 tff(16926,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16927,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16928,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 73.08/46.23 tff(16929,plain,
% 73.08/46.23 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16928, 1005, 16743])).
% 73.08/46.23 tff(16930,plain,
% 73.08/46.23 (~v127(constB99, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16929, 16925])).
% 73.08/46.23 tff(16931,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16932,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16933,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16932, 16931])).
% 73.08/46.23 tff(16934,plain,
% 73.08/46.23 (~v130(constB99, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16933, 990, 16930, 16897])).
% 73.08/46.23 tff(16935,plain,
% 73.08/46.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16936,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16937,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 73.08/46.23 tff(16938,plain,
% 73.08/46.23 (~v121(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16937, 1904, 16934])).
% 73.08/46.23 tff(16939,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB99) | v121(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB99) | v121(constB99) | (~v117(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16940,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB99) | v121(constB99) | (~v117(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16941,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB99) | v121(constB99) | (~v117(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 73.08/46.23 tff(16942,plain,
% 73.08/46.23 (~v117(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16941, 3465, 16938, 16916])).
% 73.08/46.23 tff(16943,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB99, bitIndex0) | (~v122(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB99, bitIndex0) | (~v122(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16944,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB99, bitIndex0) | (~v122(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16945,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB99, bitIndex0) | (~v122(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16944, 16943])).
% 73.08/46.23 tff(16946,plain,
% 73.08/46.23 (~v122(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16945, 3752, 16869])).
% 73.08/46.23 tff(16947,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB99) | v122(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB99) | v122(constB99) | (~v116(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16948,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB99) | v122(constB99) | (~v116(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16949,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB99) | v122(constB99) | (~v116(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 73.08/46.23 tff(16950,plain,
% 73.08/46.23 (v117(constB99) | (~v116(constB99))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16949, 3599, 16946])).
% 73.08/46.23 tff(16951,plain,
% 73.08/46.23 (~v116(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16950, 16942])).
% 73.08/46.23 tff(16952,plain,
% 73.08/46.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16953,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16954,plain,
% 73.08/46.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB99)) | (~v130(constB99, bitIndex0))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 73.08/46.23 tff(16955,plain,
% 73.08/46.23 (~v123(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16954, 1057, 16904])).
% 73.08/46.23 tff(16956,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB99) | v123(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB99) | v123(constB99) | (~v115(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16957,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB99) | v123(constB99) | (~v115(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16958,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB99) | v123(constB99) | (~v115(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 73.08/46.23 tff(16959,plain,
% 73.08/46.23 (v116(constB99) | (~v115(constB99))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16958, 3584, 16955])).
% 73.08/46.23 tff(16960,plain,
% 73.08/46.23 (~v115(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16959, 16951])).
% 73.08/46.23 tff(16961,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB99, bitIndex0) | (~v124(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB99, bitIndex0) | (~v124(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16962,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB99, bitIndex0) | (~v124(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16963,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB99, bitIndex0) | (~v124(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 73.08/46.23 tff(16964,plain,
% 73.08/46.23 (~v124(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16963, 4085, 16869])).
% 73.08/46.23 tff(16965,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB99) | v124(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB99) | v124(constB99) | (~v114(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16966,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB99) | v124(constB99) | (~v114(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16967,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB99) | v124(constB99) | (~v114(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 73.08/46.23 tff(16968,plain,
% 73.08/46.23 (v115(constB99) | (~v114(constB99))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16967, 3570, 16964])).
% 73.08/46.23 tff(16969,plain,
% 73.08/46.23 (~v114(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16968, 16960])).
% 73.08/46.23 tff(16970,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v100(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v100(constB100)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16971,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v100(constB100)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16972,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v100(constB100))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 73.08/46.23 tff(16973,plain,
% 73.08/46.23 (v110(constB100) | (~v100(constB100))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16972, 3479, 16743])).
% 73.08/46.23 tff(16974,plain,
% 73.08/46.23 (v110(constB100)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16973, 16880])).
% 73.08/46.23 tff(16975,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16976,plain,
% 73.08/46.23 (((~nextState(constB99, constB100)) | v108(constB99) | (~v110(constB100))) <=> ((~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16977,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB99, constB100)) | v108(constB99) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99)))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[16976])).
% 73.08/46.23 tff(16978,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB99, constB100)) | v108(constB99) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99))),
% 73.08/46.23 inference(transitivity,[status(thm)],[16977, 16975])).
% 73.08/46.23 tff(16979,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB99, constB100)) | v108(constB99) | (~v110(constB100)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16980,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB99, constB100)) | (~v110(constB100)) | v108(constB99)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 73.08/46.23 tff(16981,plain,
% 73.08/46.23 ((~v110(constB100)) | v108(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16980, 3494, 16743])).
% 73.08/46.23 tff(16982,plain,
% 73.08/46.23 (v108(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16981, 16974])).
% 73.08/46.23 tff(16983,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB99)) | v26(constB99) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB99)) | v26(constB99) | v112(constB99))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16984,plain,
% 73.08/46.23 ((v26(constB99) | v112(constB99) | (~v108(constB99))) <=> ((~v108(constB99)) | v26(constB99) | v112(constB99))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16985,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB99) | v112(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB99)) | v26(constB99) | v112(constB99)))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[16984])).
% 73.08/46.23 tff(16986,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB99) | v112(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB99)) | v26(constB99) | v112(constB99))),
% 73.08/46.23 inference(transitivity,[status(thm)],[16985, 16983])).
% 73.08/46.23 tff(16987,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB99) | v112(constB99) | (~v108(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16988,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB99)) | v26(constB99) | v112(constB99)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16987, 16986])).
% 73.08/46.23 tff(16989,plain,
% 73.08/46.23 (v26(constB99) | v112(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16988, 3512, 16982])).
% 73.08/46.23 tff(16990,plain,
% 73.08/46.23 (v112(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16989, 16897])).
% 73.08/46.23 tff(16991,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB99) | (~v112(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16992,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB99) | (~v112(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16993,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB99) | (~v112(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 73.08/46.23 tff(16994,plain,
% 73.08/46.23 (v113(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16993, 3527, 16990])).
% 73.08/46.23 tff(16995,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB99) | v125(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB99) | v125(constB99) | (~v113(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(16996,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB99) | v125(constB99) | (~v113(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(16997,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB99) | v125(constB99) | (~v113(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 73.08/46.23 tff(16998,plain,
% 73.08/46.23 (v114(constB99) | v125(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16997, 3541, 16994])).
% 73.08/46.23 tff(16999,plain,
% 73.08/46.23 (v125(constB99)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16998, 16969])).
% 73.08/46.23 tff(17000,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB99, bitIndex2) | (~v125(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB99, bitIndex2) | (~v125(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17001,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB99, bitIndex2) | (~v125(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(17002,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB99, bitIndex2) | (~v125(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[17001, 17000])).
% 73.08/46.23 tff(17003,plain,
% 73.08/46.23 (v90(constB99, bitIndex2)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17002, 9586, 16999])).
% 73.08/46.23 tff(17004,plain,
% 73.08/46.23 (v90(constB98, bitIndex2)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[16690, 17003])).
% 73.08/46.23 tff(17005,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB99, bitIndex1) | (~v125(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB99, bitIndex1) | (~v125(constB99)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17006,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB99, bitIndex1) | (~v125(constB99)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(17007,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB99, bitIndex1) | (~v125(constB99))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 73.08/46.23 tff(17008,plain,
% 73.08/46.23 (v90(constB99, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17007, 3388, 16999])).
% 73.08/46.23 tff(17009,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17010,plain,
% 73.08/46.23 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17011,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[17010])).
% 73.08/46.23 tff(17012,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.08/46.23 inference(transitivity,[status(thm)],[17011, 17009])).
% 73.08/46.23 tff(17013,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(17014,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[17013, 17012])).
% 73.08/46.23 tff(17015,plain,
% 73.08/46.23 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17014, 341, 16428])).
% 73.08/46.23 tff(17016,plain,
% 73.08/46.23 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17015, 16440])).
% 73.08/46.23 tff(17017,plain,
% 73.08/46.23 (v90(constB98, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17016, 17008])).
% 73.08/46.23 tff(17018,assumption,(~v125(constB98)), introduced(assumption)).
% 73.08/46.23 tff(17019,plain,
% 73.08/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB98, bitIndex0) | (~v90(constB98, bitIndex1)) | (~v90(constB98, bitIndex2)) | v125(constB98))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB98, bitIndex0) | (~v90(constB98, bitIndex1)) | (~v90(constB98, bitIndex2)) | v125(constB98))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17020,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB98, bitIndex0) | (~v90(constB98, bitIndex1)) | (~v90(constB98, bitIndex2)) | v125(constB98))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(17021,plain,
% 73.08/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB98, bitIndex0) | (~v90(constB98, bitIndex1)) | (~v90(constB98, bitIndex2)) | v125(constB98)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 73.08/46.23 tff(17022,plain,
% 73.08/46.23 (v90(constB98, bitIndex0) | (~v90(constB98, bitIndex1)) | (~v90(constB98, bitIndex2))),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17021, 1101, 17018])).
% 73.08/46.23 tff(17023,plain,
% 73.08/46.23 ($false),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17022, 17017, 17004, 16878])).
% 73.08/46.23 tff(17024,plain,(v90(constB99, bitIndex0) | v125(constB98) | v90(constB100, bitIndex1) | (~v90(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.08/46.23 tff(17025,plain,
% 73.08/46.23 (v90(constB100, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17024, 16804, 16449, 16868])).
% 73.08/46.23 tff(17026,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17027,plain,
% 73.08/46.23 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.08/46.23 inference(rewrite,[status(thm)],[])).
% 73.08/46.23 tff(17028,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 73.08/46.23 inference(monotonicity,[status(thm)],[17027])).
% 73.08/46.23 tff(17029,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.08/46.23 inference(transitivity,[status(thm)],[17028, 17026])).
% 73.08/46.23 tff(17030,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.08/46.23 inference(quant_inst,[status(thm)],[])).
% 73.08/46.23 tff(17031,plain,
% 73.08/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 73.08/46.23 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 73.08/46.23 tff(17032,plain,
% 73.08/46.23 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17031, 1038, 16843])).
% 73.08/46.23 tff(17033,plain,
% 73.08/46.23 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17032, 16855])).
% 73.08/46.23 tff(17034,plain,
% 73.08/46.23 (v90(constB101, bitIndex1)),
% 73.08/46.23 inference(unit_resolution,[status(thm)],[17033, 17025])).
% 73.08/46.23 tff(17035,plain,
% 73.08/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17036,plain,
% 73.08/46.24 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17037,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17036])).
% 73.08/46.24 tff(17038,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17037, 17035])).
% 73.08/46.24 tff(17039,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17040,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 73.08/46.24 tff(17041,plain,
% 73.08/46.24 ((~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17040, 1461, 16843])).
% 73.08/46.24 tff(17042,plain,
% 73.08/46.24 ((~v90(constB100, bitIndex0)) | v90(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17041, 16855])).
% 73.08/46.24 tff(17043,plain,
% 73.08/46.24 (v90(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17042, 16804])).
% 73.08/46.24 tff(17044,plain,
% 73.08/46.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17045,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17046,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 73.08/46.24 tff(17047,plain,
% 73.08/46.24 ($false),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17046, 1986, 17043, 17034, 16864, 16313])).
% 73.08/46.24 tff(17048,plain,((~v120(constB97)) | v122(constB101)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.24 tff(17049,plain,
% 73.08/46.24 (v122(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17048, 16312])).
% 73.08/46.24 tff(17050,plain,
% 73.08/46.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17051,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17052,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17051, 17050])).
% 73.08/46.24 tff(17053,plain,
% 73.08/46.24 (~v130(constB101, bitIndex1)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17052, 2138, 17049])).
% 73.08/46.24 tff(17054,assumption,(v26(constB101)), introduced(assumption)).
% 73.08/46.24 tff(17055,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17056,plain,
% 73.08/46.24 ($false),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17055, 26, 17054])).
% 73.08/46.24 tff(17057,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.24 tff(17058,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17059,plain,
% 73.08/46.24 ((v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1))) <=> ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17060,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17059])).
% 73.08/46.24 tff(17061,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17060, 17058])).
% 73.08/46.24 tff(17062,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17063,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 73.08/46.24 tff(17064,plain,
% 73.08/46.24 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17063, 695, 17057])).
% 73.08/46.24 tff(17065,plain,
% 73.08/46.24 (~v127(constB101, bitIndex1)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17064, 17053])).
% 73.08/46.24 tff(17066,plain,
% 73.08/46.24 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17067,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 73.08/46.24 tff(17068,plain,
% 73.08/46.24 (nextState(constB101, constB102)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17067, 17066])).
% 73.08/46.24 tff(17069,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17070,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17071,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 73.08/46.24 tff(17072,plain,
% 73.08/46.24 (v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17071, 713, 17068])).
% 73.08/46.24 tff(17073,plain,
% 73.08/46.24 (~v129(constB102, bitIndex1)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17072, 17065])).
% 73.08/46.24 tff(17074,assumption,(v122(constB101)), introduced(assumption)).
% 73.08/46.24 tff(17075,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB101) | (~v122(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB101) | (~v122(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17076,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB101) | (~v122(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17077,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB101) | (~v122(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17076, 17075])).
% 73.08/46.24 tff(17078,plain,
% 73.08/46.24 (v116(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17077, 1997, 17074])).
% 73.08/46.24 tff(17079,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17080,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17081,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17080, 17079])).
% 73.08/46.24 tff(17082,plain,
% 73.08/46.24 (v115(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17081, 427, 17078])).
% 73.08/46.24 tff(17083,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17084,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17085,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 73.08/46.24 tff(17086,plain,
% 73.08/46.24 (v114(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17085, 438, 17082])).
% 73.08/46.24 tff(17087,plain,
% 73.08/46.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17088,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17089,plain,
% 73.08/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 73.08/46.24 tff(17090,plain,
% 73.08/46.24 (~v130(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17089, 2182, 17074])).
% 73.08/46.24 tff(17091,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17092,plain,
% 73.08/46.24 ((v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0))) <=> ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17093,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17092])).
% 73.08/46.24 tff(17094,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17093, 17091])).
% 73.08/46.24 tff(17095,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17096,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 73.08/46.24 tff(17097,plain,
% 73.08/46.24 ((~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17096, 769, 17057])).
% 73.08/46.24 tff(17098,plain,
% 73.08/46.24 (~v127(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17097, 17090])).
% 73.08/46.24 tff(17099,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17100,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17101,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 73.08/46.24 tff(17102,plain,
% 73.08/46.24 (v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17101, 787, 17068])).
% 73.08/46.24 tff(17103,plain,
% 73.08/46.24 (~v129(constB102, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17102, 17098])).
% 73.08/46.24 tff(17104,assumption,(v90(constB102, bitIndex0)), introduced(assumption)).
% 73.08/46.24 tff(17105,plain,
% 73.08/46.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17106,plain,
% 73.08/46.24 (((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17107,plain,
% 73.08/46.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17106])).
% 73.08/46.24 tff(17108,plain,
% 73.08/46.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17107, 17105])).
% 73.08/46.24 tff(17109,plain,
% 73.08/46.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17110,plain,
% 73.08/46.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 73.08/46.24 tff(17111,plain,
% 73.08/46.24 (v129(constB102, bitIndex0) | (~v100(constB102))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17110, 802, 17104])).
% 73.08/46.24 tff(17112,plain,
% 73.08/46.24 (~v100(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17111, 17103])).
% 73.08/46.24 tff(17113,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17114,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17115,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 73.08/46.24 tff(17116,plain,
% 73.08/46.24 (~v104(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17115, 510, 17068, 16840])).
% 73.08/46.24 tff(17117,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17118,plain,
% 73.08/46.24 (((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17119,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17118])).
% 73.08/46.24 tff(17120,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17119, 17117])).
% 73.08/46.24 tff(17121,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17122,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17121, 17120])).
% 73.08/46.24 tff(17123,plain,
% 73.08/46.24 (v104(constB102) | v102(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17122, 524, 17068])).
% 73.08/46.24 tff(17124,plain,
% 73.08/46.24 (v102(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17123, 17116])).
% 73.08/46.24 tff(17125,plain,
% 73.08/46.24 (v1(constB102) <=> v1(constB102)),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17126,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 73.08/46.24 tff(17127,plain,
% 73.08/46.24 (v1(constB102)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 73.08/46.24 tff(17128,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17129,plain,
% 73.08/46.24 (((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))) <=> ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17130,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17129])).
% 73.08/46.24 tff(17131,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17130, 17128])).
% 73.08/46.24 tff(17132,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17133,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 73.08/46.24 tff(17134,plain,
% 73.08/46.24 (v101(constB102) | (~v102(constB102))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17133, 545, 17068, 17127])).
% 73.08/46.24 tff(17135,plain,
% 73.08/46.24 (v101(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17134, 17124])).
% 73.08/46.24 tff(17136,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17137,plain,
% 73.08/46.24 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17138,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17137])).
% 73.08/46.24 tff(17139,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17138, 17136])).
% 73.08/46.24 tff(17140,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17141,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17140, 17139])).
% 73.08/46.24 tff(17142,plain,
% 73.08/46.24 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17141, 563, 17068])).
% 73.08/46.24 tff(17143,plain,
% 73.08/46.24 (v100(constB102) | (~v110(constB102))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17142, 17135])).
% 73.08/46.24 tff(17144,plain,
% 73.08/46.24 (~v110(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17143, 17112])).
% 73.08/46.24 tff(17145,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17146,plain,
% 73.08/46.24 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17147,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17146])).
% 73.08/46.24 tff(17148,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17147, 17145])).
% 73.08/46.24 tff(17149,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17150,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 73.08/46.24 tff(17151,plain,
% 73.08/46.24 (v110(constB102) | (~v108(constB101))),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17150, 492, 17068])).
% 73.08/46.24 tff(17152,plain,
% 73.08/46.24 (~v108(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17151, 17144])).
% 73.08/46.24 tff(17153,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17154,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17155,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 73.08/46.24 tff(17156,plain,
% 73.08/46.24 (~v112(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17155, 475, 17152])).
% 73.08/46.24 tff(17157,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17158,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17159,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 73.08/46.24 tff(17160,plain,
% 73.08/46.24 ((~v113(constB101)) | v112(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17159, 463, 17057])).
% 73.08/46.24 tff(17161,plain,
% 73.08/46.24 (~v113(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17160, 17156])).
% 73.08/46.24 tff(17162,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17163,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17164,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17163, 17162])).
% 73.08/46.24 tff(17165,plain,
% 73.08/46.24 ($false),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17164, 449, 17161, 17086])).
% 73.08/46.24 tff(17166,plain,((~v122(constB101)) | (~v90(constB102, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.08/46.24 tff(17167,plain,
% 73.08/46.24 (~v90(constB102, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17166, 17049])).
% 73.08/46.24 tff(17168,assumption,(~v100(constB102)), introduced(assumption)).
% 73.08/46.24 tff(17169,plain,
% 73.08/46.24 (~v110(constB102)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17143, 17168])).
% 73.08/46.24 tff(17170,plain,
% 73.08/46.24 (~v108(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17151, 17169])).
% 73.08/46.24 tff(17171,plain,
% 73.08/46.24 (~v112(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17155, 475, 17170])).
% 73.08/46.24 tff(17172,plain,
% 73.08/46.24 (~v113(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17160, 17171])).
% 73.08/46.24 tff(17173,plain,
% 73.08/46.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB101) | (~v125(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB101) | (~v125(constB101)))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17174,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB101) | (~v125(constB101)))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17175,plain,
% 73.08/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB101) | (~v125(constB101))),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 73.08/46.24 tff(17176,plain,
% 73.08/46.24 (~v125(constB101)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17175, 1112, 17172])).
% 73.08/46.24 tff(17177,assumption,(~v90(constB102, bitIndex0)), introduced(assumption)).
% 73.08/46.24 tff(17178,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17179,plain,
% 73.08/46.24 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0)) <=> ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 73.08/46.24 inference(rewrite,[status(thm)],[])).
% 73.08/46.24 tff(17180,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0)))),
% 73.08/46.24 inference(monotonicity,[status(thm)],[17179])).
% 73.08/46.24 tff(17181,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 73.08/46.24 inference(transitivity,[status(thm)],[17180, 17178])).
% 73.08/46.24 tff(17182,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))),
% 73.08/46.24 inference(quant_inst,[status(thm)],[])).
% 73.08/46.24 tff(17183,plain,
% 73.08/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0)),
% 73.08/46.24 inference(modus_ponens,[status(thm)],[17182, 17181])).
% 73.08/46.24 tff(17184,plain,
% 73.08/46.24 ((~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17183, 1461, 17068])).
% 73.08/46.24 tff(17185,plain,
% 73.08/46.24 (~v90(constB101, bitIndex0)),
% 73.08/46.24 inference(unit_resolution,[status(thm)],[17184, 17177, 17168])).
% 73.08/46.24 tff(17186,assumption,(~v90(constB102, bitIndex1)), introduced(assumption)).
% 73.08/46.24 tff(17187,plain,
% 73.08/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17188,plain,
% 73.08/46.25 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1)) <=> ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17189,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1)))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17188])).
% 73.08/46.25 tff(17190,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17189, 17187])).
% 73.08/46.25 tff(17191,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17192,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 73.08/46.25 tff(17193,plain,
% 73.08/46.25 ((~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17192, 1038, 17068])).
% 73.08/46.25 tff(17194,plain,
% 73.08/46.25 (~v90(constB101, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17193, 17186, 17168])).
% 73.08/46.25 tff(17195,assumption,(~v90(constB102, bitIndex2)), introduced(assumption)).
% 73.08/46.25 tff(17196,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17197,plain,
% 73.08/46.25 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2)) <=> ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17198,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2)))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17197])).
% 73.08/46.25 tff(17199,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17198, 17196])).
% 73.08/46.25 tff(17200,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17201,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 73.08/46.25 tff(17202,plain,
% 73.08/46.25 ((~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17201, 662, 17068])).
% 73.08/46.25 tff(17203,plain,
% 73.08/46.25 (~v90(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17202, 17168, 17195])).
% 73.08/46.25 tff(17204,plain,
% 73.08/46.25 (~v90(constB101, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17193, 17168, 17186])).
% 73.08/46.25 tff(17205,plain,
% 73.08/46.25 (~v90(constB101, bitIndex0)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17184, 17168, 17177])).
% 73.08/46.25 tff(17206,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17207,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17208,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 73.08/46.25 tff(17209,plain,
% 73.08/46.25 (v119(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17208, 383, 17205, 17204, 17203])).
% 73.08/46.25 tff(17210,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB101) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB101) | (~v119(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17211,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB101) | (~v119(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17212,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB101) | (~v119(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 73.08/46.25 tff(17213,plain,
% 73.08/46.25 (v118(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17212, 394, 17209])).
% 73.08/46.25 tff(17214,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB101) | (~v118(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB101) | (~v118(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17215,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB101) | (~v118(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17216,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB101) | (~v118(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 73.08/46.25 tff(17217,plain,
% 73.08/46.25 (v117(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17216, 405, 17213])).
% 73.08/46.25 tff(17218,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17219,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17220,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 73.08/46.25 tff(17221,plain,
% 73.08/46.25 (v116(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17220, 416, 17217])).
% 73.08/46.25 tff(17222,assumption,(~v26(constB101)), introduced(assumption)).
% 73.08/46.25 tff(17223,plain,
% 73.08/46.25 ((~v113(constB101)) | v112(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17159, 463, 17222])).
% 73.08/46.25 tff(17224,plain,
% 73.08/46.25 (~v113(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17223, 17171])).
% 73.08/46.25 tff(17225,plain,
% 73.08/46.25 (~v114(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17164, 449, 17224])).
% 73.08/46.25 tff(17226,plain,
% 73.08/46.25 (~v115(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17085, 438, 17225])).
% 73.08/46.25 tff(17227,plain,
% 73.08/46.25 ($false),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17081, 427, 17226, 17221])).
% 73.08/46.25 tff(17228,plain,(v100(constB102) | v26(constB101) | v90(constB102, bitIndex2) | v90(constB102, bitIndex0) | v90(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.25 tff(17229,plain,
% 73.08/46.25 (v100(constB102) | v90(constB102, bitIndex2) | v90(constB102, bitIndex0) | v90(constB102, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17228, 17057])).
% 73.08/46.25 tff(17230,plain,
% 73.08/46.25 (v90(constB102, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17229, 17177, 17168, 17186])).
% 73.08/46.25 tff(17231,plain,
% 73.08/46.25 (~v114(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17164, 449, 17172])).
% 73.08/46.25 tff(17232,assumption,(v90(constB102, bitIndex2)), introduced(assumption)).
% 73.08/46.25 tff(17233,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17234,plain,
% 73.08/46.25 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2))) <=> (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17235,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2))))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17234])).
% 73.08/46.25 tff(17236,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17235, 17233])).
% 73.08/46.25 tff(17237,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17238,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 73.08/46.25 tff(17239,plain,
% 73.08/46.25 (v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17238, 320, 17068])).
% 73.08/46.25 tff(17240,plain,
% 73.08/46.25 (v90(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17239, 17168, 17232])).
% 73.08/46.25 tff(17241,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v123(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v123(constB101))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17242,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v123(constB101))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17243,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v123(constB101)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17242, 17241])).
% 73.08/46.25 tff(17244,plain,
% 73.08/46.25 (v123(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17243, 829, 17205, 17204, 17240])).
% 73.08/46.25 tff(17245,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB101) | (~v123(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB101) | (~v123(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17246,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB101) | (~v123(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17247,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB101) | (~v123(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17246, 17245])).
% 73.08/46.25 tff(17248,plain,
% 73.08/46.25 (v115(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17247, 840, 17244])).
% 73.08/46.25 tff(17249,plain,
% 73.08/46.25 ($false),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17085, 438, 17248, 17231])).
% 73.08/46.25 tff(17250,plain,(v100(constB102) | v90(constB102, bitIndex1) | (~v90(constB102, bitIndex2)) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.25 tff(17251,plain,
% 73.08/46.25 ($false),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17250, 17230, 17177, 17168, 17186])).
% 73.08/46.25 tff(17252,plain,(v90(constB102, bitIndex0) | v100(constB102) | v90(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.25 tff(17253,plain,
% 73.08/46.25 (v90(constB102, bitIndex0)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17252, 17186, 17168])).
% 73.08/46.25 tff(17254,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17255,plain,
% 73.08/46.25 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))) <=> (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17256,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17255])).
% 73.08/46.25 tff(17257,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17256, 17254])).
% 73.08/46.25 tff(17258,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17259,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 73.08/46.25 tff(17260,plain,
% 73.08/46.25 (v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17259, 362, 17068])).
% 73.08/46.25 tff(17261,plain,
% 73.08/46.25 (v90(constB101, bitIndex0)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17260, 17253, 17168])).
% 73.08/46.25 tff(17262,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB101) | (~v124(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB101) | (~v124(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17263,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB101) | (~v124(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17264,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB101) | (~v124(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 73.08/46.25 tff(17265,plain,
% 73.08/46.25 (~v124(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17264, 3631, 17231])).
% 73.08/46.25 tff(17266,plain,
% 73.08/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v124(constB101))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v124(constB101))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17267,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v124(constB101))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17268,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2)) | v124(constB101)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 73.08/46.25 tff(17269,plain,
% 73.08/46.25 ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | (~v90(constB101, bitIndex2))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17268, 3620, 17265])).
% 73.08/46.25 tff(17270,plain,
% 73.08/46.25 (~v90(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17269, 17261, 17194])).
% 73.08/46.25 tff(17271,plain,
% 73.08/46.25 (~v115(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17085, 438, 17231])).
% 73.08/46.25 tff(17272,plain,
% 73.08/46.25 (~v116(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17081, 427, 17271])).
% 73.08/46.25 tff(17273,plain,
% 73.08/46.25 (~v117(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17220, 416, 17272])).
% 73.08/46.25 tff(17274,plain,
% 73.08/46.25 (~v118(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17216, 405, 17273])).
% 73.08/46.25 tff(17275,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB101) | (~v120(constB101)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB101) | (~v120(constB101)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17276,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB101) | (~v120(constB101)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17277,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB101) | (~v120(constB101))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 73.08/46.25 tff(17278,plain,
% 73.08/46.25 (~v120(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17277, 1494, 17274])).
% 73.08/46.25 tff(17279,plain,
% 73.08/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17280,plain,
% 73.08/46.25 (((~v90(constB101, bitIndex0)) | v120(constB101) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2)) <=> ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17281,plain,
% 73.08/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB101, bitIndex0)) | v120(constB101) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101)))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17280])).
% 73.08/46.25 tff(17282,plain,
% 73.08/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB101, bitIndex0)) | v120(constB101) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17281, 17279])).
% 73.08/46.25 tff(17283,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB101, bitIndex0)) | v120(constB101) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17284,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2) | v120(constB101)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 73.08/46.25 tff(17285,plain,
% 73.08/46.25 ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17284, 1480, 17278])).
% 73.08/46.25 tff(17286,plain,
% 73.08/46.25 ($false),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17285, 17270, 17261, 17194])).
% 73.08/46.25 tff(17287,plain,(v90(constB102, bitIndex1) | v100(constB102)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.25 tff(17288,plain,
% 73.08/46.25 (v90(constB102, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17287, 17168])).
% 73.08/46.25 tff(17289,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17290,plain,
% 73.08/46.25 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1))) <=> (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17291,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1))))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17290])).
% 73.08/46.25 tff(17292,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17291, 17289])).
% 73.08/46.25 tff(17293,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17294,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 73.08/46.25 tff(17295,plain,
% 73.08/46.25 (v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17294, 341, 17068])).
% 73.08/46.25 tff(17296,plain,
% 73.08/46.25 (v90(constB101, bitIndex1)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17295, 17288, 17168])).
% 73.08/46.25 tff(17297,plain,
% 73.08/46.25 (~v122(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17077, 1997, 17272])).
% 73.08/46.25 tff(17298,plain,
% 73.08/46.25 (v100(constB102)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17228, 17222, 17195, 17177, 17186])).
% 73.08/46.25 tff(17299,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17300,plain,
% 73.08/46.25 ((v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17301,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17300])).
% 73.08/46.25 tff(17302,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17301, 17299])).
% 73.08/46.25 tff(17303,plain,
% 73.08/46.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17304,plain,
% 73.08/46.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 73.08/46.25 tff(17305,plain,
% 73.08/46.25 ((~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17304, 626, 17195])).
% 73.08/46.25 tff(17306,plain,
% 73.08/46.25 (~v129(constB102, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17305, 17298])).
% 73.08/46.25 tff(17307,plain,
% 73.08/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17308,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17309,plain,
% 73.08/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 73.08/46.25 tff(17310,plain,
% 73.08/46.25 ((~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17309, 611, 17068])).
% 73.08/46.25 tff(17311,plain,
% 73.08/46.25 (~v127(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17310, 17306])).
% 73.08/46.25 tff(17312,plain,
% 73.08/46.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17313,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17314,plain,
% 73.08/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17313, 17312])).
% 73.08/46.25 tff(17315,plain,
% 73.08/46.25 ((~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17314, 596, 17222])).
% 73.08/46.25 tff(17316,plain,
% 73.08/46.25 (~v130(constB101, bitIndex2)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17315, 17311])).
% 73.08/46.25 tff(17317,plain,
% 73.08/46.25 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17318,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17319,plain,
% 73.08/46.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2)),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 73.08/46.25 tff(17320,plain,
% 73.08/46.25 (~v122(constB101)),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17319, 2079, 17316])).
% 73.08/46.25 tff(17321,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17322,plain,
% 73.08/46.25 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.08/46.25 inference(rewrite,[status(thm)],[])).
% 73.08/46.25 tff(17323,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))))),
% 73.08/46.25 inference(monotonicity,[status(thm)],[17322])).
% 73.08/46.25 tff(17324,plain,
% 73.08/46.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.08/46.25 inference(transitivity,[status(thm)],[17323, 17321])).
% 73.08/46.25 tff(17325,plain,
% 73.08/46.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 73.08/46.25 inference(quant_inst,[status(thm)],[])).
% 73.08/46.25 tff(17326,plain,
% 73.08/46.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 73.08/46.25 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 73.08/46.25 tff(17327,plain,
% 73.08/46.25 ((~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 73.08/46.25 inference(unit_resolution,[status(thm)],[17326, 1443, 17177])).
% 73.08/46.25 tff(17328,plain,
% 73.08/46.25 (~v129(constB102, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17327, 17298])).
% 73.08/46.26 tff(17329,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17330,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17331,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 73.08/46.26 tff(17332,plain,
% 73.08/46.26 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17331, 1428, 17068])).
% 73.08/46.26 tff(17333,plain,
% 73.08/46.26 (~v127(constB101, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17332, 17328])).
% 73.08/46.26 tff(17334,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17335,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17336,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17335, 17334])).
% 73.08/46.26 tff(17337,plain,
% 73.08/46.26 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17336, 1413, 17222])).
% 73.08/46.26 tff(17338,plain,
% 73.08/46.26 (~v130(constB101, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17337, 17333])).
% 73.08/46.26 tff(17339,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17340,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17341,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17340, 17339])).
% 73.08/46.26 tff(17342,plain,
% 73.08/46.26 (~v121(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17341, 1945, 17338])).
% 73.08/46.26 tff(17343,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17344,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17345,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB101)) | v130(constB101, bitIndex2)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 73.08/46.26 tff(17346,plain,
% 73.08/46.26 (~v119(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17345, 582, 17316])).
% 73.08/46.26 tff(17347,plain,
% 73.08/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17348,plain,
% 73.08/46.26 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17349,plain,
% 73.08/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17348])).
% 73.08/46.26 tff(17350,plain,
% 73.08/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17349, 17347])).
% 73.08/46.26 tff(17351,plain,
% 73.08/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17352,plain,
% 73.08/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17351, 17350])).
% 73.08/46.26 tff(17353,plain,
% 73.08/46.26 ((~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17352, 1020, 17186])).
% 73.08/46.26 tff(17354,plain,
% 73.08/46.26 (~v129(constB102, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17353, 17298])).
% 73.08/46.26 tff(17355,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17356,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17357,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 73.08/46.26 tff(17358,plain,
% 73.08/46.26 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17357, 1005, 17068])).
% 73.08/46.26 tff(17359,plain,
% 73.08/46.26 (~v127(constB101, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17358, 17354])).
% 73.08/46.26 tff(17360,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17361,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17362,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 73.08/46.26 tff(17363,plain,
% 73.08/46.26 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17362, 990, 17222])).
% 73.08/46.26 tff(17364,plain,
% 73.08/46.26 (~v130(constB101, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17363, 17359])).
% 73.08/46.26 tff(17365,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB101)) | v130(constB101, bitIndex1))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17366,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB101)) | v130(constB101, bitIndex1))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17367,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB101)) | v130(constB101, bitIndex1)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17366, 17365])).
% 73.08/46.26 tff(17368,plain,
% 73.08/46.26 (~v120(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17367, 1649, 17364])).
% 73.08/46.26 tff(17369,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB101)) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17370,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB101)) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17371,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB101)) | v130(constB101, bitIndex0)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 73.08/46.26 tff(17372,plain,
% 73.08/46.26 (~v124(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17371, 3911, 17338])).
% 73.08/46.26 tff(17373,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17374,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB101)) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17375,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB101)) | v130(constB101, bitIndex2)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17374, 17373])).
% 73.08/46.26 tff(17376,plain,
% 73.08/46.26 (~v123(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17375, 917, 17316])).
% 73.08/46.26 tff(17377,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17378,plain,
% 73.08/46.26 ((v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0)) <=> (v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17379,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0)))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17378])).
% 73.08/46.26 tff(17380,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17379, 17377])).
% 73.08/46.26 tff(17381,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17382,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101) | v130(constB101, bitIndex0)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 73.08/46.26 tff(17383,plain,
% 73.08/46.26 (v124(constB101) | v121(constB101) | v123(constB101) | v119(constB101) | v122(constB101) | v120(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17382, 1396, 17338])).
% 73.08/46.26 tff(17384,plain,
% 73.08/46.26 ($false),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17383, 17376, 17372, 17368, 17346, 17342, 17320])).
% 73.08/46.26 tff(17385,plain,(v26(constB101) | v90(constB102, bitIndex1) | v90(constB102, bitIndex2) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.26 tff(17386,plain,
% 73.08/46.26 (v90(constB102, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17385, 17195, 17057, 17177])).
% 73.08/46.26 tff(17387,plain,
% 73.08/46.26 (v90(constB101, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17295, 17168, 17386])).
% 73.08/46.26 tff(17388,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17389,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17390,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17389, 17388])).
% 73.08/46.26 tff(17391,plain,
% 73.08/46.26 (v121(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17390, 1734, 17205, 17387, 17203])).
% 73.08/46.26 tff(17392,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17393,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17394,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 73.08/46.26 tff(17395,plain,
% 73.08/46.26 (v117(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17394, 1775, 17391])).
% 73.08/46.26 tff(17396,plain,
% 73.08/46.26 (v116(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17220, 416, 17395])).
% 73.08/46.26 tff(17397,plain,
% 73.08/46.26 ($false),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17081, 427, 17271, 17396])).
% 73.08/46.26 tff(17398,plain,(v100(constB102) | v90(constB102, bitIndex2) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.26 tff(17399,plain,
% 73.08/46.26 (v90(constB102, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17398, 17177, 17168])).
% 73.08/46.26 tff(17400,assumption,(~v90(constB101, bitIndex2)), introduced(assumption)).
% 73.08/46.26 tff(17401,assumption,(v90(constB101, bitIndex1)), introduced(assumption)).
% 73.08/46.26 tff(17402,plain,
% 73.08/46.26 ((~v90(constB101, bitIndex0)) | v90(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17046, 1986, 17401, 16313])).
% 73.08/46.26 tff(17403,plain,
% 73.08/46.26 (~v90(constB101, bitIndex0)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17402, 17400])).
% 73.08/46.26 tff(17404,plain,
% 73.08/46.26 (v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | v121(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17390, 1734, 17401])).
% 73.08/46.26 tff(17405,plain,
% 73.08/46.26 (v121(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17404, 17400, 17403])).
% 73.08/46.26 tff(17406,plain,
% 73.08/46.26 (v100(constB102)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17239, 17400, 17232])).
% 73.08/46.26 tff(17407,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17408,plain,
% 73.08/46.26 (((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17409,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17408])).
% 73.08/46.26 tff(17410,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17409, 17407])).
% 73.08/46.26 tff(17411,plain,
% 73.08/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17412,plain,
% 73.08/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 73.08/46.26 tff(17413,plain,
% 73.08/46.26 (v129(constB102, bitIndex2) | (~v100(constB102))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17412, 1304, 17232])).
% 73.08/46.26 tff(17414,plain,
% 73.08/46.26 (v129(constB102, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17413, 17406])).
% 73.08/46.26 tff(17415,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17416,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17417,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 73.08/46.26 tff(17418,plain,
% 73.08/46.26 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17417, 1289, 17068])).
% 73.08/46.26 tff(17419,plain,
% 73.08/46.26 (v127(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17418, 17414])).
% 73.08/46.26 tff(17420,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17421,plain,
% 73.08/46.26 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17422,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17421])).
% 73.08/46.26 tff(17423,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17422, 17420])).
% 73.08/46.26 tff(17424,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17425,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 73.08/46.26 tff(17426,plain,
% 73.08/46.26 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17425, 1271, 17057])).
% 73.08/46.26 tff(17427,plain,
% 73.08/46.26 (v130(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17426, 17419])).
% 73.08/46.26 tff(17428,plain,
% 73.08/46.26 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17429,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17430,plain,
% 73.08/46.26 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 73.08/46.26 tff(17431,plain,
% 73.08/46.26 ($false),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17430, 1748, 17427, 17405])).
% 73.08/46.26 tff(17432,plain,(v90(constB101, bitIndex2) | (~v90(constB102, bitIndex2)) | (~v90(constB101, bitIndex1)) | v122(constB101)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.26 tff(17433,plain,
% 73.08/46.26 (v90(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17432, 17399, 17297, 17296])).
% 73.08/46.26 tff(17434,plain,
% 73.08/46.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex2)) | v125(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex2)) | v125(constB101))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17435,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex2)) | v125(constB101))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17436,plain,
% 73.08/46.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex2)) | v125(constB101)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 73.08/46.26 tff(17437,plain,
% 73.08/46.26 (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex2)) | v125(constB101)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17436, 1101, 17296])).
% 73.08/46.26 tff(17438,plain,
% 73.08/46.26 ($false),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17437, 17433, 17185, 17176])).
% 73.08/46.26 tff(17439,plain,(v90(constB102, bitIndex0) | v100(constB102)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.26 tff(17440,plain,
% 73.08/46.26 (v100(constB102)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17439, 17167])).
% 73.08/46.26 tff(17441,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17442,plain,
% 73.08/46.26 (((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17443,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17442])).
% 73.08/46.26 tff(17444,plain,
% 73.08/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17443, 17441])).
% 73.08/46.26 tff(17445,plain,
% 73.08/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17446,plain,
% 73.08/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 73.08/46.26 tff(17447,plain,
% 73.08/46.26 ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17446, 728, 17440])).
% 73.08/46.26 tff(17448,plain,
% 73.08/46.26 (~v90(constB102, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17447, 17073])).
% 73.08/46.26 tff(17449,plain,
% 73.08/46.26 ((~v1(constB103)) <=> (~v1(constB103))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17450,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 73.08/46.26 tff(17451,plain,
% 73.08/46.26 (~v1(constB103)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 73.08/46.26 tff(17452,plain,
% 73.08/46.26 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17453,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 73.08/46.26 tff(17454,plain,
% 73.08/46.26 (nextState(constB102, constB103)),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 73.08/46.26 tff(17455,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17456,plain,
% 73.08/46.26 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17457,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17456])).
% 73.08/46.26 tff(17458,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17457, 17455])).
% 73.08/46.26 tff(17459,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17460,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17459, 17458])).
% 73.08/46.26 tff(17461,plain,
% 73.08/46.26 (~v101(constB103)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17460, 288, 17454, 17451])).
% 73.08/46.26 tff(17462,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17463,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17464,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 73.08/46.26 tff(17465,plain,
% 73.08/46.26 (v101(constB103) | (~v100(constB103))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17464, 305, 17454])).
% 73.08/46.26 tff(17466,plain,
% 73.08/46.26 (~v100(constB103)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17465, 17461])).
% 73.08/46.26 tff(17467,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17468,plain,
% 73.08/46.26 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 73.08/46.26 inference(rewrite,[status(thm)],[])).
% 73.08/46.26 tff(17469,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))))),
% 73.08/46.26 inference(monotonicity,[status(thm)],[17468])).
% 73.08/46.26 tff(17470,plain,
% 73.08/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 73.08/46.26 inference(transitivity,[status(thm)],[17469, 17467])).
% 73.08/46.26 tff(17471,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 73.08/46.26 inference(quant_inst,[status(thm)],[])).
% 73.08/46.26 tff(17472,plain,
% 73.08/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 73.08/46.26 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 73.08/46.26 tff(17473,plain,
% 73.08/46.26 (v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17472, 341, 17454])).
% 73.08/46.26 tff(17474,plain,
% 73.08/46.26 (v90(constB102, bitIndex1) | (~v90(constB103, bitIndex1))),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17473, 17466])).
% 73.08/46.26 tff(17475,plain,
% 73.08/46.26 (~v90(constB103, bitIndex1)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17474, 17448])).
% 73.08/46.26 tff(17476,plain,
% 73.08/46.26 (v130(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17319, 2079, 17049])).
% 73.08/46.26 tff(17477,plain,
% 73.08/46.26 ((~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 73.08/46.26 inference(unit_resolution,[status(thm)],[17314, 596, 17057])).
% 73.08/46.26 tff(17478,plain,
% 73.08/46.27 (v127(constB101, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17477, 17476])).
% 73.08/46.27 tff(17479,plain,
% 73.08/46.27 (v129(constB102, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17310, 17478])).
% 73.08/46.27 tff(17480,plain,
% 73.08/46.27 (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17304, 626, 17440])).
% 73.08/46.27 tff(17481,plain,
% 73.08/46.27 (v90(constB102, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17480, 17479])).
% 73.08/46.27 tff(17482,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17483,plain,
% 73.08/46.27 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17484,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17483])).
% 73.08/46.27 tff(17485,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17484, 17482])).
% 73.08/46.27 tff(17486,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17487,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 73.08/46.27 tff(17488,plain,
% 73.08/46.27 ((~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17487, 662, 17454])).
% 73.08/46.27 tff(17489,plain,
% 73.08/46.27 ((~v90(constB102, bitIndex2)) | v90(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17488, 17466])).
% 73.08/46.27 tff(17490,plain,
% 73.08/46.27 (v90(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17489, 17481])).
% 73.08/46.27 tff(17491,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17492,plain,
% 73.08/46.27 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17493,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17492])).
% 73.08/46.27 tff(17494,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17493, 17491])).
% 73.08/46.27 tff(17495,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17496,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 73.08/46.27 tff(17497,plain,
% 73.08/46.27 (v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17496, 362, 17454])).
% 73.08/46.27 tff(17498,plain,
% 73.08/46.27 (v90(constB102, bitIndex0) | (~v90(constB103, bitIndex0))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17497, 17466])).
% 73.08/46.27 tff(17499,plain,
% 73.08/46.27 (~v90(constB103, bitIndex0)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17498, 17167])).
% 73.08/46.27 tff(17500,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17501,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17502,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17501, 17500])).
% 73.08/46.27 tff(17503,plain,
% 73.08/46.27 (v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17502, 829, 17499])).
% 73.08/46.27 tff(17504,plain,
% 73.08/46.27 (v123(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17503, 17490, 17475])).
% 73.08/46.27 tff(17505,plain,
% 73.08/46.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17506,plain,
% 73.08/46.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17507,plain,
% 73.08/46.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 73.08/46.27 tff(17508,plain,
% 73.08/46.27 (v130(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17507, 917, 17504])).
% 73.08/46.27 tff(17509,assumption,(v26(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17510,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17511,plain,
% 73.08/46.27 ($false),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17510, 26, 17509])).
% 73.08/46.27 tff(17512,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.27 tff(17513,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17514,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17515,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 73.08/46.27 tff(17516,plain,
% 73.08/46.27 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17515, 596, 17512])).
% 73.08/46.27 tff(17517,plain,
% 73.08/46.27 (v127(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17516, 17508])).
% 73.08/46.27 tff(17518,plain,
% 73.08/46.27 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17519,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 73.08/46.27 tff(17520,plain,
% 73.08/46.27 (nextState(constB103, constB104)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 73.08/46.27 tff(17521,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17522,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17523,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 73.08/46.27 tff(17524,plain,
% 73.08/46.27 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17523, 611, 17520])).
% 73.08/46.27 tff(17525,plain,
% 73.08/46.27 (v129(constB104, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17524, 17517])).
% 73.08/46.27 tff(17526,assumption,(~v113(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17527,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17528,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17529,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 73.08/46.27 tff(17530,plain,
% 73.08/46.27 (~v114(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17529, 449, 17526])).
% 73.08/46.27 tff(17531,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17532,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17533,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 73.08/46.27 tff(17534,plain,
% 73.08/46.27 (~v115(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17533, 438, 17530])).
% 73.08/46.27 tff(17535,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17536,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17537,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 73.08/46.27 tff(17538,plain,
% 73.08/46.27 (~v116(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17537, 427, 17534])).
% 73.08/46.27 tff(17539,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB103) | (~v117(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB103) | (~v117(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17540,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB103) | (~v117(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17541,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB103) | (~v117(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 73.08/46.27 tff(17542,plain,
% 73.08/46.27 (~v117(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17541, 416, 17538])).
% 73.08/46.27 tff(17543,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB103) | (~v125(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB103) | (~v125(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17544,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB103) | (~v125(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17545,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB103) | (~v125(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 73.08/46.27 tff(17546,plain,
% 73.08/46.27 (~v125(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17545, 1112, 17526])).
% 73.08/46.27 tff(17547,plain,
% 73.08/46.27 (~v90(constB103, bitIndex0)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17498, 17177])).
% 73.08/46.27 tff(17548,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17549,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17550,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 73.08/46.27 tff(17551,plain,
% 73.08/46.27 (~v123(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17550, 840, 17534])).
% 73.08/46.27 tff(17552,assumption,(v90(constB103, bitIndex2)), introduced(assumption)).
% 73.08/46.27 tff(17553,assumption,(~v90(constB103, bitIndex0)), introduced(assumption)).
% 73.08/46.27 tff(17554,assumption,(~v125(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17555,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17556,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17557,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 73.08/46.27 tff(17558,plain,
% 73.08/46.27 (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17557, 1101, 17554])).
% 73.08/46.27 tff(17559,plain,
% 73.08/46.27 (~v90(constB103, bitIndex1)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17558, 17553, 17552])).
% 73.08/46.27 tff(17560,assumption,(~v123(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17561,plain,
% 73.08/46.27 (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17502, 829, 17560])).
% 73.08/46.27 tff(17562,plain,
% 73.08/46.27 ($false),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17561, 17559, 17553, 17552])).
% 73.08/46.27 tff(17563,plain,(v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)) | v123(constB103) | v125(constB103)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.27 tff(17564,plain,
% 73.08/46.27 (~v90(constB103, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17563, 17551, 17547, 17546])).
% 73.08/46.27 tff(17565,plain,
% 73.08/46.27 (~v90(constB102, bitIndex2)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17489, 17564])).
% 73.08/46.27 tff(17566,plain,
% 73.08/46.27 (v90(constB102, bitIndex1) | v90(constB102, bitIndex2) | v90(constB102, bitIndex0)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17385, 17057])).
% 73.08/46.27 tff(17567,plain,
% 73.08/46.27 (v90(constB102, bitIndex1)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17566, 17565, 17177])).
% 73.08/46.27 tff(17568,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17569,plain,
% 73.08/46.27 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17570,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17569])).
% 73.08/46.27 tff(17571,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17570, 17568])).
% 73.08/46.27 tff(17572,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17573,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17572, 17571])).
% 73.08/46.27 tff(17574,plain,
% 73.08/46.27 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17573, 1038, 17454])).
% 73.08/46.27 tff(17575,plain,
% 73.08/46.27 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17574, 17466])).
% 73.08/46.27 tff(17576,plain,
% 73.08/46.27 (v90(constB103, bitIndex1)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17575, 17567])).
% 73.08/46.27 tff(17577,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17578,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17579,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 73.08/46.27 tff(17580,plain,
% 73.08/46.27 ((~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17579, 1734, 17547])).
% 73.08/46.27 tff(17581,plain,
% 73.08/46.27 (v121(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17580, 17576, 17564])).
% 73.08/46.27 tff(17582,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB103) | (~v121(constB103)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB103) | (~v121(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17583,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB103) | (~v121(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17584,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB103) | (~v121(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 73.08/46.27 tff(17585,plain,
% 73.08/46.27 ($false),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17584, 1775, 17581, 17542])).
% 73.08/46.27 tff(17586,plain,(v113(constB103) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.08/46.27 tff(17587,plain,
% 73.08/46.27 (v113(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17586, 17167])).
% 73.08/46.27 tff(17588,assumption,(~v108(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17589,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17590,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17591,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 73.08/46.27 tff(17592,plain,
% 73.08/46.27 (~v112(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17591, 475, 17588])).
% 73.08/46.27 tff(17593,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB103) | (~v26(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB103) | (~v26(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17594,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB103) | (~v26(constB103)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17595,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB103) | (~v26(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 73.08/46.27 tff(17596,plain,
% 73.08/46.27 (~v26(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17595, 1807, 17588])).
% 73.08/46.27 tff(17597,assumption,(v113(constB103)), introduced(assumption)).
% 73.08/46.27 tff(17598,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17599,plain,
% 73.08/46.27 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17600,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17599])).
% 73.08/46.27 tff(17601,plain,
% 73.08/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17600, 17598])).
% 73.08/46.27 tff(17602,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17603,plain,
% 73.08/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 73.08/46.27 tff(17604,plain,
% 73.08/46.27 (v26(constB103) | v112(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17603, 463, 17597])).
% 73.08/46.27 tff(17605,plain,
% 73.08/46.27 ($false),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17604, 17596, 17592])).
% 73.08/46.27 tff(17606,plain,(v108(constB103) | (~v113(constB103))), inference(lemma,lemma(discharge,[]))).
% 73.08/46.27 tff(17607,plain,
% 73.08/46.27 (v108(constB103)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17606, 17587])).
% 73.08/46.27 tff(17608,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17609,plain,
% 73.08/46.27 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17610,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17609])).
% 73.08/46.27 tff(17611,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17610, 17608])).
% 73.08/46.27 tff(17612,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17613,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 73.08/46.27 tff(17614,plain,
% 73.08/46.27 (v110(constB104) | (~v108(constB103))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17613, 492, 17520])).
% 73.08/46.27 tff(17615,plain,
% 73.08/46.27 (v110(constB104)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17614, 17607])).
% 73.08/46.27 tff(17616,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17617,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17618,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 73.08/46.27 tff(17619,plain,
% 73.08/46.27 (~v104(constB104)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17618, 510, 17520, 17451])).
% 73.08/46.27 tff(17620,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17621,plain,
% 73.08/46.27 (((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17622,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17621])).
% 73.08/46.27 tff(17623,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17622, 17620])).
% 73.08/46.27 tff(17624,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17625,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 73.08/46.27 tff(17626,plain,
% 73.08/46.27 (v104(constB104) | v102(constB104)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17625, 524, 17520])).
% 73.08/46.27 tff(17627,plain,
% 73.08/46.27 (v102(constB104)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17626, 17619])).
% 73.08/46.27 tff(17628,plain,
% 73.08/46.27 (v1(constB104) <=> v1(constB104)),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17629,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 73.08/46.27 tff(17630,plain,
% 73.08/46.27 (v1(constB104)),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17629, 17628])).
% 73.08/46.27 tff(17631,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17632,plain,
% 73.08/46.27 (((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))) <=> ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 73.08/46.27 inference(rewrite,[status(thm)],[])).
% 73.08/46.27 tff(17633,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))))),
% 73.08/46.27 inference(monotonicity,[status(thm)],[17632])).
% 73.08/46.27 tff(17634,plain,
% 73.08/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 73.08/46.27 inference(transitivity,[status(thm)],[17633, 17631])).
% 73.08/46.27 tff(17635,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 73.08/46.27 inference(quant_inst,[status(thm)],[])).
% 73.08/46.27 tff(17636,plain,
% 73.08/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))),
% 73.08/46.27 inference(modus_ponens,[status(thm)],[17635, 17634])).
% 73.08/46.27 tff(17637,plain,
% 73.08/46.27 (v101(constB104) | (~v102(constB104))),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17636, 545, 17520, 17630])).
% 73.08/46.27 tff(17638,plain,
% 73.08/46.27 (v101(constB104)),
% 73.08/46.27 inference(unit_resolution,[status(thm)],[17637, 17627])).
% 73.08/46.28 tff(17639,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17640,plain,
% 73.08/46.28 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17641,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 73.08/46.28 inference(monotonicity,[status(thm)],[17640])).
% 73.08/46.28 tff(17642,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.08/46.28 inference(transitivity,[status(thm)],[17641, 17639])).
% 73.08/46.28 tff(17643,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17644,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17643, 17642])).
% 73.08/46.28 tff(17645,plain,
% 73.08/46.28 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17644, 563, 17520])).
% 73.08/46.28 tff(17646,plain,
% 73.08/46.28 (v100(constB104) | (~v110(constB104))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17645, 17638])).
% 73.08/46.28 tff(17647,plain,
% 73.08/46.28 (v100(constB104)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17646, 17615])).
% 73.08/46.28 tff(17648,plain,
% 73.08/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17649,plain,
% 73.08/46.28 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17650,plain,
% 73.08/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 73.08/46.28 inference(monotonicity,[status(thm)],[17649])).
% 73.08/46.28 tff(17651,plain,
% 73.08/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.08/46.28 inference(transitivity,[status(thm)],[17650, 17648])).
% 73.08/46.28 tff(17652,plain,
% 73.08/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17653,plain,
% 73.08/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 73.08/46.28 tff(17654,plain,
% 73.08/46.28 (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17653, 626, 17647])).
% 73.08/46.28 tff(17655,plain,
% 73.08/46.28 (v90(constB104, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17654, 17525])).
% 73.08/46.28 tff(17656,plain,
% 73.08/46.28 ((~v1(constB105)) <=> (~v1(constB105))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17657,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 73.08/46.28 tff(17658,plain,
% 73.08/46.28 (~v1(constB105)),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 73.08/46.28 tff(17659,plain,
% 73.08/46.28 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17660,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 73.08/46.28 tff(17661,plain,
% 73.08/46.28 (nextState(constB104, constB105)),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 73.08/46.28 tff(17662,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17663,plain,
% 73.08/46.28 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17664,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 73.08/46.28 inference(monotonicity,[status(thm)],[17663])).
% 73.08/46.28 tff(17665,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.08/46.28 inference(transitivity,[status(thm)],[17664, 17662])).
% 73.08/46.28 tff(17666,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17667,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 73.08/46.28 tff(17668,plain,
% 73.08/46.28 (~v101(constB105)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17667, 288, 17661, 17658])).
% 73.08/46.28 tff(17669,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17670,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17671,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17670, 17669])).
% 73.08/46.28 tff(17672,plain,
% 73.08/46.28 (v101(constB105) | (~v100(constB105))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17671, 305, 17661])).
% 73.08/46.28 tff(17673,plain,
% 73.08/46.28 (~v100(constB105)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17672, 17668])).
% 73.08/46.28 tff(17674,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17675,plain,
% 73.08/46.28 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17676,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 73.08/46.28 inference(monotonicity,[status(thm)],[17675])).
% 73.08/46.28 tff(17677,plain,
% 73.08/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.08/46.28 inference(transitivity,[status(thm)],[17676, 17674])).
% 73.08/46.28 tff(17678,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17679,plain,
% 73.08/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 73.08/46.28 tff(17680,plain,
% 73.08/46.28 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17679, 662, 17661])).
% 73.08/46.28 tff(17681,plain,
% 73.08/46.28 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17680, 17673])).
% 73.08/46.28 tff(17682,plain,
% 73.08/46.28 (v90(constB105, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17681, 17655])).
% 73.08/46.28 tff(17683,plain,
% 73.08/46.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v122(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v122(constB105)))),
% 73.08/46.28 inference(rewrite,[status(thm)],[])).
% 73.08/46.28 tff(17684,plain,
% 73.08/46.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v122(constB105)))),
% 73.08/46.28 inference(quant_inst,[status(thm)],[])).
% 73.08/46.28 tff(17685,plain,
% 73.08/46.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v122(constB105))),
% 73.08/46.28 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 73.08/46.28 tff(17686,plain,
% 73.08/46.28 (~v122(constB105)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17685, 1193, 17682])).
% 73.08/46.28 tff(17687,plain,
% 73.08/46.28 (v122(constB101)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17048, 16314])).
% 73.08/46.28 tff(17688,plain,
% 73.08/46.28 (~v130(constB101, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17052, 2138, 17687])).
% 73.08/46.28 tff(17689,plain,
% 73.08/46.28 (~v127(constB101, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17064, 17688])).
% 73.08/46.28 tff(17690,plain,
% 73.08/46.28 (~v129(constB102, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17072, 17689])).
% 73.08/46.28 tff(17691,plain,
% 73.08/46.28 (~v90(constB102, bitIndex0)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17166, 17687])).
% 73.08/46.28 tff(17692,plain,
% 73.08/46.28 (v100(constB102)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17184, 17043, 17691])).
% 73.08/46.28 tff(17693,plain,
% 73.08/46.28 ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17446, 728, 17692])).
% 73.08/46.28 tff(17694,plain,
% 73.08/46.28 (~v90(constB102, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17693, 17690])).
% 73.08/46.28 tff(17695,plain,
% 73.08/46.28 (~v90(constB103, bitIndex1)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17474, 17694])).
% 73.08/46.28 tff(17696,plain,
% 73.08/46.28 (v130(constB101, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17319, 2079, 17687])).
% 73.08/46.28 tff(17697,plain,
% 73.08/46.28 (v127(constB101, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17477, 17696])).
% 73.08/46.28 tff(17698,plain,
% 73.08/46.28 (v129(constB102, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17310, 17697])).
% 73.08/46.28 tff(17699,plain,
% 73.08/46.28 (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17304, 626, 17692])).
% 73.08/46.28 tff(17700,plain,
% 73.08/46.28 (v90(constB102, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17699, 17698])).
% 73.08/46.28 tff(17701,plain,
% 73.08/46.28 (v90(constB103, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17489, 17700])).
% 73.08/46.28 tff(17702,plain,
% 73.08/46.28 (~v90(constB103, bitIndex0)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17498, 17691])).
% 73.08/46.28 tff(17703,plain,
% 73.08/46.28 (v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17502, 829, 17702])).
% 73.08/46.28 tff(17704,plain,
% 73.08/46.28 (v123(constB103)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17703, 17701, 17695])).
% 73.08/46.28 tff(17705,plain,
% 73.08/46.28 (v130(constB103, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17507, 917, 17704])).
% 73.08/46.28 tff(17706,plain,
% 73.08/46.28 (v127(constB103, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17516, 17705])).
% 73.08/46.28 tff(17707,plain,
% 73.08/46.28 (v129(constB104, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17524, 17706])).
% 73.08/46.28 tff(17708,plain,
% 73.08/46.28 (v113(constB103)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17586, 17691])).
% 73.08/46.28 tff(17709,plain,
% 73.08/46.28 (v108(constB103)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17606, 17708])).
% 73.08/46.28 tff(17710,plain,
% 73.08/46.28 (v110(constB104)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17614, 17709])).
% 73.08/46.28 tff(17711,plain,
% 73.08/46.28 (v100(constB104)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17646, 17710])).
% 73.08/46.28 tff(17712,plain,
% 73.08/46.28 (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17653, 626, 17711])).
% 73.08/46.28 tff(17713,plain,
% 73.08/46.28 (v90(constB104, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17712, 17707])).
% 73.08/46.28 tff(17714,plain,
% 73.08/46.28 (v90(constB105, bitIndex2)),
% 73.08/46.28 inference(unit_resolution,[status(thm)],[17681, 17713])).
% 73.08/46.28 tff(17715,plain,
% 73.08/46.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17716,plain,
% 73.13/46.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17717,plain,
% 73.13/46.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 73.13/46.28 tff(17718,plain,
% 73.13/46.28 (v130(constB103, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17717, 976, 17704])).
% 73.13/46.28 tff(17719,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17720,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17721,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 73.13/46.28 tff(17722,plain,
% 73.13/46.28 ((~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17721, 990, 17512])).
% 73.13/46.28 tff(17723,plain,
% 73.13/46.28 (v127(constB103, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17722, 17718])).
% 73.13/46.28 tff(17724,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17725,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17726,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 73.13/46.28 tff(17727,plain,
% 73.13/46.28 ((~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17726, 1005, 17520])).
% 73.13/46.28 tff(17728,plain,
% 73.13/46.28 (v129(constB104, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17727, 17723])).
% 73.13/46.28 tff(17729,plain,
% 73.13/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17730,plain,
% 73.13/46.28 ((v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17731,plain,
% 73.13/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))))),
% 73.13/46.28 inference(monotonicity,[status(thm)],[17730])).
% 73.13/46.28 tff(17732,plain,
% 73.13/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 73.13/46.28 inference(transitivity,[status(thm)],[17731, 17729])).
% 73.13/46.28 tff(17733,plain,
% 73.13/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17734,plain,
% 73.13/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 73.13/46.28 tff(17735,plain,
% 73.13/46.28 (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1))),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17734, 1020, 17711])).
% 73.13/46.28 tff(17736,plain,
% 73.13/46.28 (v90(constB104, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17735, 17728])).
% 73.13/46.28 tff(17737,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17738,plain,
% 73.13/46.28 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17739,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)))),
% 73.13/46.28 inference(monotonicity,[status(thm)],[17738])).
% 73.13/46.28 tff(17740,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 73.13/46.28 inference(transitivity,[status(thm)],[17739, 17737])).
% 73.13/46.28 tff(17741,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17742,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 73.13/46.28 tff(17743,plain,
% 73.13/46.28 ((~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17742, 1038, 17661])).
% 73.13/46.28 tff(17744,plain,
% 73.13/46.28 ((~v90(constB104, bitIndex1)) | v90(constB105, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17743, 17673])).
% 73.13/46.28 tff(17745,plain,
% 73.13/46.28 (v90(constB105, bitIndex1)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17744, 17736])).
% 73.13/46.28 tff(17746,plain,
% 73.13/46.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17747,plain,
% 73.13/46.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17748,plain,
% 73.13/46.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0))),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 73.13/46.28 tff(17749,plain,
% 73.13/46.28 (~v130(constB103, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17748, 1057, 17704])).
% 73.13/46.28 tff(17750,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17751,plain,
% 73.13/46.28 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17752,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 73.13/46.28 inference(monotonicity,[status(thm)],[17751])).
% 73.13/46.28 tff(17753,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.13/46.28 inference(transitivity,[status(thm)],[17752, 17750])).
% 73.13/46.28 tff(17754,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17755,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17754, 17753])).
% 73.13/46.28 tff(17756,plain,
% 73.13/46.28 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17755, 769, 17512])).
% 73.13/46.28 tff(17757,plain,
% 73.13/46.28 (~v127(constB103, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17756, 17749])).
% 73.13/46.28 tff(17758,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17759,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17760,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 73.13/46.28 tff(17761,plain,
% 73.13/46.28 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17760, 787, 17520])).
% 73.13/46.28 tff(17762,plain,
% 73.13/46.28 (~v129(constB104, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17761, 17757])).
% 73.13/46.28 tff(17763,plain,
% 73.13/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17764,plain,
% 73.13/46.28 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17765,plain,
% 73.13/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 73.13/46.28 inference(monotonicity,[status(thm)],[17764])).
% 73.13/46.28 tff(17766,plain,
% 73.13/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.13/46.28 inference(transitivity,[status(thm)],[17765, 17763])).
% 73.13/46.28 tff(17767,plain,
% 73.13/46.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17768,plain,
% 73.13/46.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 73.13/46.28 tff(17769,plain,
% 73.13/46.28 ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17768, 802, 17711])).
% 73.13/46.28 tff(17770,plain,
% 73.13/46.28 (~v90(constB104, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17769, 17762])).
% 73.13/46.28 tff(17771,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17772,plain,
% 73.13/46.28 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17773,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 73.13/46.28 inference(monotonicity,[status(thm)],[17772])).
% 73.13/46.28 tff(17774,plain,
% 73.13/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.13/46.28 inference(transitivity,[status(thm)],[17773, 17771])).
% 73.13/46.28 tff(17775,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17776,plain,
% 73.13/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 73.13/46.28 tff(17777,plain,
% 73.13/46.28 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17776, 362, 17661])).
% 73.13/46.28 tff(17778,plain,
% 73.13/46.28 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17777, 17673])).
% 73.13/46.28 tff(17779,plain,
% 73.13/46.28 (~v90(constB105, bitIndex0)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17778, 17770])).
% 73.13/46.28 tff(17780,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17781,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17782,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 73.13/46.28 inference(modus_ponens,[status(thm)],[17781, 17780])).
% 73.13/46.28 tff(17783,plain,
% 73.13/46.28 (v125(constB105)),
% 73.13/46.28 inference(unit_resolution,[status(thm)],[17782, 1101, 17779, 17745, 17714])).
% 73.13/46.28 tff(17784,plain,
% 73.13/46.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105)))),
% 73.13/46.28 inference(rewrite,[status(thm)],[])).
% 73.13/46.28 tff(17785,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))),
% 73.13/46.28 inference(quant_inst,[status(thm)],[])).
% 73.13/46.28 tff(17786,plain,
% 73.13/46.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 73.13/46.29 tff(17787,plain,
% 73.13/46.29 (v113(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17786, 1112, 17783])).
% 73.13/46.29 tff(17788,assumption,(v26(constB105)), introduced(assumption)).
% 73.13/46.29 tff(17789,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17790,plain,
% 73.13/46.29 ($false),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17789, 26, 17788])).
% 73.13/46.29 tff(17791,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.29 tff(17792,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17793,plain,
% 73.13/46.29 ((v26(constB105) | (~v113(constB105)) | v112(constB105)) <=> (v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17794,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17793])).
% 73.13/46.29 tff(17795,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17794, 17792])).
% 73.13/46.29 tff(17796,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17797,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 73.13/46.29 tff(17798,plain,
% 73.13/46.29 (v112(constB105) | (~v113(constB105))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17797, 463, 17791])).
% 73.13/46.29 tff(17799,plain,
% 73.13/46.29 (v112(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17798, 17787])).
% 73.13/46.29 tff(17800,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17801,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17802,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 73.13/46.29 tff(17803,plain,
% 73.13/46.29 (v108(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17802, 475, 17799])).
% 73.13/46.29 tff(17804,plain,
% 73.13/46.29 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17805,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 73.13/46.29 tff(17806,plain,
% 73.13/46.29 (nextState(constB105, constB106)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 73.13/46.29 tff(17807,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17808,plain,
% 73.13/46.29 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17809,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17808])).
% 73.13/46.29 tff(17810,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17809, 17807])).
% 73.13/46.29 tff(17811,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17812,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 73.13/46.29 tff(17813,plain,
% 73.13/46.29 (v110(constB106) | (~v108(constB105))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17812, 492, 17806])).
% 73.13/46.29 tff(17814,plain,
% 73.13/46.29 (v110(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17813, 17803])).
% 73.13/46.29 tff(17815,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17816,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17817,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 73.13/46.29 tff(17818,plain,
% 73.13/46.29 (~v104(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17817, 510, 17806, 17658])).
% 73.13/46.29 tff(17819,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17820,plain,
% 73.13/46.29 (((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17821,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17820])).
% 73.13/46.29 tff(17822,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17821, 17819])).
% 73.13/46.29 tff(17823,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17824,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 73.13/46.29 tff(17825,plain,
% 73.13/46.29 (v104(constB106) | v102(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17824, 524, 17806])).
% 73.13/46.29 tff(17826,plain,
% 73.13/46.29 (v102(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17825, 17818])).
% 73.13/46.29 tff(17827,plain,
% 73.13/46.29 (v1(constB106) <=> v1(constB106)),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17828,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 73.13/46.29 tff(17829,plain,
% 73.13/46.29 (v1(constB106)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 73.13/46.29 tff(17830,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17831,plain,
% 73.13/46.29 (((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))) <=> ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17832,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17831])).
% 73.13/46.29 tff(17833,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17832, 17830])).
% 73.13/46.29 tff(17834,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17835,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 73.13/46.29 tff(17836,plain,
% 73.13/46.29 (v101(constB106) | (~v102(constB106))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17835, 545, 17806, 17829])).
% 73.13/46.29 tff(17837,plain,
% 73.13/46.29 (v101(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17836, 17826])).
% 73.13/46.29 tff(17838,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17839,plain,
% 73.13/46.29 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17840,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17839])).
% 73.13/46.29 tff(17841,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17840, 17838])).
% 73.13/46.29 tff(17842,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17843,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 73.13/46.29 tff(17844,plain,
% 73.13/46.29 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17843, 563, 17806])).
% 73.13/46.29 tff(17845,plain,
% 73.13/46.29 (v100(constB106) | (~v110(constB106))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17844, 17837])).
% 73.13/46.29 tff(17846,plain,
% 73.13/46.29 (v100(constB106)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17845, 17814])).
% 73.13/46.29 tff(17847,assumption,(~v122(constB105)), introduced(assumption)).
% 73.13/46.29 tff(17848,plain,
% 73.13/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v121(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v121(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17849,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v121(constB105)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17850,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v121(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 73.13/46.29 tff(17851,plain,
% 73.13/46.29 (~v121(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17850, 1182, 17714])).
% 73.13/46.29 tff(17852,plain,
% 73.13/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v124(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v124(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17853,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v124(constB105)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17854,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v124(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 73.13/46.29 tff(17855,plain,
% 73.13/46.29 (~v124(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17854, 1229, 17745])).
% 73.13/46.29 tff(17856,plain,
% 73.13/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v120(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v120(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17857,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v120(constB105)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17858,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v120(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17857, 17856])).
% 73.13/46.29 tff(17859,plain,
% 73.13/46.29 (~v120(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17858, 1240, 17745])).
% 73.13/46.29 tff(17860,plain,
% 73.13/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v123(constB105)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17861,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v123(constB105)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17862,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v123(constB105))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17861, 17860])).
% 73.13/46.29 tff(17863,plain,
% 73.13/46.29 (~v123(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17862, 1218, 17745])).
% 73.13/46.29 tff(17864,plain,
% 73.13/46.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17865,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17866,plain,
% 73.13/46.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17865, 17864])).
% 73.13/46.29 tff(17867,plain,
% 73.13/46.29 (~v119(constB105)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17866, 1207, 17745])).
% 73.13/46.29 tff(17868,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17869,plain,
% 73.13/46.29 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2))) <=> (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17870,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17869])).
% 73.13/46.29 tff(17871,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17870, 17868])).
% 73.13/46.29 tff(17872,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17873,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex2))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 73.13/46.29 tff(17874,plain,
% 73.13/46.29 (~v130(constB105, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17873, 1254, 17867, 17863, 17859, 17855, 17851, 17847])).
% 73.13/46.29 tff(17875,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17876,plain,
% 73.13/46.29 ((v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2))) <=> ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17877,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17876])).
% 73.13/46.29 tff(17878,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17877, 17875])).
% 73.13/46.29 tff(17879,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17880,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17879, 17878])).
% 73.13/46.29 tff(17881,plain,
% 73.13/46.29 ((~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17880, 1271, 17791])).
% 73.13/46.29 tff(17882,plain,
% 73.13/46.29 (~v127(constB105, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17881, 17874])).
% 73.13/46.29 tff(17883,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17884,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17885,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 73.13/46.29 tff(17886,plain,
% 73.13/46.29 (v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17885, 1289, 17806])).
% 73.13/46.29 tff(17887,plain,
% 73.13/46.29 (~v129(constB106, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17886, 17882])).
% 73.13/46.29 tff(17888,plain,
% 73.13/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17889,plain,
% 73.13/46.29 (((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17890,plain,
% 73.13/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17889])).
% 73.13/46.29 tff(17891,plain,
% 73.13/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17890, 17888])).
% 73.13/46.29 tff(17892,plain,
% 73.13/46.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17893,plain,
% 73.13/46.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 73.13/46.29 tff(17894,plain,
% 73.13/46.29 ((~v90(constB106, bitIndex2)) | (~v100(constB106))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17893, 1304, 17887])).
% 73.13/46.29 tff(17895,plain,
% 73.13/46.29 (~v90(constB106, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17894, 17846])).
% 73.13/46.29 tff(17896,plain,
% 73.13/46.29 ((~v1(constB107)) <=> (~v1(constB107))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17897,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 73.13/46.29 tff(17898,plain,
% 73.13/46.29 (~v1(constB107)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17897, 17896])).
% 73.13/46.29 tff(17899,plain,
% 73.13/46.29 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17900,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 73.13/46.29 tff(17901,plain,
% 73.13/46.29 (nextState(constB106, constB107)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 73.13/46.29 tff(17902,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17903,plain,
% 73.13/46.29 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17904,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17903])).
% 73.13/46.29 tff(17905,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17904, 17902])).
% 73.13/46.29 tff(17906,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17907,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 73.13/46.29 tff(17908,plain,
% 73.13/46.29 (~v101(constB107)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17907, 288, 17901, 17898])).
% 73.13/46.29 tff(17909,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17910,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17911,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 73.13/46.29 tff(17912,plain,
% 73.13/46.29 (v101(constB107) | (~v100(constB107))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17911, 305, 17901])).
% 73.13/46.29 tff(17913,plain,
% 73.13/46.29 (~v100(constB107)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17912, 17908])).
% 73.13/46.29 tff(17914,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17915,plain,
% 73.13/46.29 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17916,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17915])).
% 73.13/46.29 tff(17917,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17916, 17914])).
% 73.13/46.29 tff(17918,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17919,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17918, 17917])).
% 73.13/46.29 tff(17920,plain,
% 73.13/46.29 (v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17919, 320, 17901])).
% 73.13/46.29 tff(17921,plain,
% 73.13/46.29 (v90(constB106, bitIndex2) | (~v90(constB107, bitIndex2))),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17920, 17913])).
% 73.13/46.29 tff(17922,plain,
% 73.13/46.29 (~v90(constB107, bitIndex2)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17921, 17895])).
% 73.13/46.29 tff(17923,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17924,plain,
% 73.13/46.29 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0)) <=> (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17925,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0)))),
% 73.13/46.29 inference(monotonicity,[status(thm)],[17924])).
% 73.13/46.29 tff(17926,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 73.13/46.29 inference(transitivity,[status(thm)],[17925, 17923])).
% 73.13/46.29 tff(17927,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17928,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 73.13/46.29 tff(17929,plain,
% 73.13/46.29 (v130(constB105, bitIndex0)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17928, 1396, 17867, 17863, 17859, 17855, 17851, 17847])).
% 73.13/46.29 tff(17930,plain,
% 73.13/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17931,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17932,plain,
% 73.13/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 73.13/46.29 tff(17933,plain,
% 73.13/46.29 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17932, 1413, 17791])).
% 73.13/46.29 tff(17934,plain,
% 73.13/46.29 (v127(constB105, bitIndex0)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17933, 17929])).
% 73.13/46.29 tff(17935,plain,
% 73.13/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 73.13/46.29 inference(rewrite,[status(thm)],[])).
% 73.13/46.29 tff(17936,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 73.13/46.29 inference(quant_inst,[status(thm)],[])).
% 73.13/46.29 tff(17937,plain,
% 73.13/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 73.13/46.29 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 73.13/46.29 tff(17938,plain,
% 73.13/46.29 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17937, 1428, 17806])).
% 73.13/46.29 tff(17939,plain,
% 73.13/46.29 (v129(constB106, bitIndex0)),
% 73.13/46.29 inference(unit_resolution,[status(thm)],[17938, 17934])).
% 73.13/46.29 tff(17940,plain,
% 73.13/46.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17941,plain,
% 73.13/46.30 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17942,plain,
% 73.13/46.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17941])).
% 73.13/46.30 tff(17943,plain,
% 73.13/46.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17942, 17940])).
% 73.13/46.30 tff(17944,plain,
% 73.13/46.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17945,plain,
% 73.13/46.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17944, 17943])).
% 73.13/46.30 tff(17946,plain,
% 73.13/46.30 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17945, 1443, 17939])).
% 73.13/46.30 tff(17947,plain,
% 73.13/46.30 (v90(constB106, bitIndex0)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17946, 17846])).
% 73.13/46.30 tff(17948,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17949,plain,
% 73.13/46.30 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17950,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17949])).
% 73.13/46.30 tff(17951,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17950, 17948])).
% 73.13/46.30 tff(17952,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17953,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 73.13/46.30 tff(17954,plain,
% 73.13/46.30 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17953, 1461, 17901])).
% 73.13/46.30 tff(17955,plain,
% 73.13/46.30 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17954, 17913])).
% 73.13/46.30 tff(17956,plain,
% 73.13/46.30 (v90(constB107, bitIndex0)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17955, 17947])).
% 73.13/46.30 tff(17957,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17958,plain,
% 73.13/46.30 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1))) <=> (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17959,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17958])).
% 73.13/46.30 tff(17960,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17959, 17957])).
% 73.13/46.30 tff(17961,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17962,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB105) | v121(constB105) | v124(constB105) | v122(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 73.13/46.30 tff(17963,plain,
% 73.13/46.30 (~v130(constB105, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17962, 1349, 17867, 17863, 17859, 17855, 17851, 17847])).
% 73.13/46.30 tff(17964,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17965,plain,
% 73.13/46.30 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17966,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17965])).
% 73.13/46.30 tff(17967,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17966, 17964])).
% 73.13/46.30 tff(17968,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17969,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 73.13/46.30 tff(17970,plain,
% 73.13/46.30 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17969, 695, 17791])).
% 73.13/46.30 tff(17971,plain,
% 73.13/46.30 (~v127(constB105, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17970, 17963])).
% 73.13/46.30 tff(17972,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17973,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17974,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 73.13/46.30 tff(17975,plain,
% 73.13/46.30 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17974, 713, 17806])).
% 73.13/46.30 tff(17976,plain,
% 73.13/46.30 (~v129(constB106, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17975, 17971])).
% 73.13/46.30 tff(17977,plain,
% 73.13/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17978,plain,
% 73.13/46.30 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17979,plain,
% 73.13/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17978])).
% 73.13/46.30 tff(17980,plain,
% 73.13/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17979, 17977])).
% 73.13/46.30 tff(17981,plain,
% 73.13/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17982,plain,
% 73.13/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 73.13/46.30 tff(17983,plain,
% 73.13/46.30 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17982, 728, 17976])).
% 73.13/46.30 tff(17984,plain,
% 73.13/46.30 (~v90(constB106, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17983, 17846])).
% 73.13/46.30 tff(17985,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17986,plain,
% 73.13/46.30 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17987,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17986])).
% 73.13/46.30 tff(17988,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17987, 17985])).
% 73.13/46.30 tff(17989,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(17990,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17989, 17988])).
% 73.13/46.30 tff(17991,plain,
% 73.13/46.30 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17990, 341, 17901])).
% 73.13/46.30 tff(17992,plain,
% 73.13/46.30 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17991, 17913])).
% 73.13/46.30 tff(17993,plain,
% 73.13/46.30 (~v90(constB107, bitIndex1)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[17992, 17984])).
% 73.13/46.30 tff(17994,assumption,(~v120(constB107)), introduced(assumption)).
% 73.13/46.30 tff(17995,plain,
% 73.13/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17996,plain,
% 73.13/46.30 (((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)) <=> ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(17997,plain,
% 73.13/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[17996])).
% 73.13/46.30 tff(17998,plain,
% 73.13/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 73.13/46.30 inference(transitivity,[status(thm)],[17997, 17995])).
% 73.13/46.30 tff(17999,plain,
% 73.13/46.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18000,plain,
% 73.13/46.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 73.13/46.30 tff(18001,plain,
% 73.13/46.30 ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18000, 1480, 17994])).
% 73.13/46.30 tff(18002,plain,
% 73.13/46.30 ($false),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18001, 17993, 17956, 17922])).
% 73.13/46.30 tff(18003,plain,((~v120(constB97)) | v120(constB107) | v122(constB105)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.30 tff(18004,plain,
% 73.13/46.30 (v120(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18003, 17686, 16312])).
% 73.13/46.30 tff(18005,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18006,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18007,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 73.13/46.30 tff(18008,plain,
% 73.13/46.30 (v118(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18007, 1494, 18004])).
% 73.13/46.30 tff(18009,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18010,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18011,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 73.13/46.30 tff(18012,plain,
% 73.13/46.30 (v117(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18011, 405, 18008])).
% 73.13/46.30 tff(18013,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18014,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18015,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 73.13/46.30 tff(18016,plain,
% 73.13/46.30 (v116(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18015, 416, 18012])).
% 73.13/46.30 tff(18017,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18018,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18019,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 73.13/46.30 tff(18020,plain,
% 73.13/46.30 (v115(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18019, 427, 18016])).
% 73.13/46.30 tff(18021,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18022,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18023,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 73.13/46.30 tff(18024,plain,
% 73.13/46.30 (v114(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18023, 438, 18020])).
% 73.13/46.30 tff(18025,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18026,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18027,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 73.13/46.30 tff(18028,plain,
% 73.13/46.30 (v113(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18027, 449, 18024])).
% 73.13/46.30 tff(18029,assumption,(v26(constB107)), introduced(assumption)).
% 73.13/46.30 tff(18030,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18031,plain,
% 73.13/46.30 ($false),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18030, 26, 18029])).
% 73.13/46.30 tff(18032,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.30 tff(18033,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18034,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18035,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 73.13/46.30 tff(18036,plain,
% 73.13/46.30 ((~v113(constB107)) | v112(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18035, 463, 18032])).
% 73.13/46.30 tff(18037,plain,
% 73.13/46.30 (v112(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18036, 18028])).
% 73.13/46.30 tff(18038,plain,
% 73.13/46.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18039,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18040,plain,
% 73.13/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 73.13/46.30 tff(18041,plain,
% 73.13/46.30 (v108(constB107)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18040, 475, 18037])).
% 73.13/46.30 tff(18042,plain,
% 73.13/46.30 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18043,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 73.13/46.30 tff(18044,plain,
% 73.13/46.30 (nextState(constB107, constB108)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18043, 18042])).
% 73.13/46.30 tff(18045,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18046,plain,
% 73.13/46.30 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18047,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[18046])).
% 73.13/46.30 tff(18048,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[18047, 18045])).
% 73.13/46.30 tff(18049,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18050,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 73.13/46.30 tff(18051,plain,
% 73.13/46.30 (v110(constB108) | (~v108(constB107))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18050, 492, 18044])).
% 73.13/46.30 tff(18052,plain,
% 73.13/46.30 (v110(constB108)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18051, 18041])).
% 73.13/46.30 tff(18053,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18054,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18055,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 73.13/46.30 tff(18056,plain,
% 73.13/46.30 (~v104(constB108)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18055, 510, 18044, 17898])).
% 73.13/46.30 tff(18057,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18058,plain,
% 73.13/46.30 (((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18059,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[18058])).
% 73.13/46.30 tff(18060,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 73.13/46.30 inference(transitivity,[status(thm)],[18059, 18057])).
% 73.13/46.30 tff(18061,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18062,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18061, 18060])).
% 73.13/46.30 tff(18063,plain,
% 73.13/46.30 (v104(constB108) | v102(constB108)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18062, 524, 18044])).
% 73.13/46.30 tff(18064,plain,
% 73.13/46.30 (v102(constB108)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18063, 18056])).
% 73.13/46.30 tff(18065,plain,
% 73.13/46.30 (v1(constB108) <=> v1(constB108)),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18066,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 73.13/46.30 tff(18067,plain,
% 73.13/46.30 (v1(constB108)),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 73.13/46.30 tff(18068,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18069,plain,
% 73.13/46.30 (((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))) <=> ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18070,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))))),
% 73.13/46.30 inference(monotonicity,[status(thm)],[18069])).
% 73.13/46.30 tff(18071,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 73.13/46.30 inference(transitivity,[status(thm)],[18070, 18068])).
% 73.13/46.30 tff(18072,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 73.13/46.30 inference(quant_inst,[status(thm)],[])).
% 73.13/46.30 tff(18073,plain,
% 73.13/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))),
% 73.13/46.30 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 73.13/46.30 tff(18074,plain,
% 73.13/46.30 (v101(constB108) | (~v102(constB108))),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18073, 545, 18044, 18067])).
% 73.13/46.30 tff(18075,plain,
% 73.13/46.30 (v101(constB108)),
% 73.13/46.30 inference(unit_resolution,[status(thm)],[18074, 18064])).
% 73.13/46.30 tff(18076,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18077,plain,
% 73.13/46.30 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.13/46.30 inference(rewrite,[status(thm)],[])).
% 73.13/46.30 tff(18078,plain,
% 73.13/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18077])).
% 73.13/46.31 tff(18079,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18078, 18076])).
% 73.13/46.31 tff(18080,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18081,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 73.13/46.31 tff(18082,plain,
% 73.13/46.31 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18081, 563, 18044])).
% 73.13/46.31 tff(18083,plain,
% 73.13/46.31 (v100(constB108) | (~v110(constB108))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18082, 18075])).
% 73.13/46.31 tff(18084,plain,
% 73.13/46.31 (v100(constB108)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18083, 18052])).
% 73.13/46.31 tff(18085,assumption,(v120(constB107)), introduced(assumption)).
% 73.13/46.31 tff(18086,plain,
% 73.13/46.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18087,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18088,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 73.13/46.31 tff(18089,plain,
% 73.13/46.31 (~v130(constB107, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18088, 1587, 18085])).
% 73.13/46.31 tff(18090,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18091,plain,
% 73.13/46.31 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18092,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18091])).
% 73.13/46.31 tff(18093,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18092, 18090])).
% 73.13/46.31 tff(18094,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18095,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18094, 18093])).
% 73.13/46.31 tff(18096,plain,
% 73.13/46.31 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18095, 1271, 18032])).
% 73.13/46.31 tff(18097,plain,
% 73.13/46.31 (~v127(constB107, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18096, 18089])).
% 73.13/46.31 tff(18098,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18099,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18100,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18099, 18098])).
% 73.13/46.31 tff(18101,plain,
% 73.13/46.31 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18100, 1289, 18044])).
% 73.13/46.31 tff(18102,plain,
% 73.13/46.31 (~v129(constB108, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18101, 18097])).
% 73.13/46.31 tff(18103,assumption,(v100(constB108)), introduced(assumption)).
% 73.13/46.31 tff(18104,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18105,plain,
% 73.13/46.31 (((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18106,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18105])).
% 73.13/46.31 tff(18107,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18106, 18104])).
% 73.13/46.31 tff(18108,plain,
% 73.13/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18109,plain,
% 73.13/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 73.13/46.31 tff(18110,plain,
% 73.13/46.31 ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18109, 1304, 18103])).
% 73.13/46.31 tff(18111,plain,
% 73.13/46.31 (~v90(constB108, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18110, 18102])).
% 73.13/46.31 tff(18112,plain,
% 73.13/46.31 ((~v1(constB109)) <=> (~v1(constB109))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18113,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 73.13/46.31 tff(18114,plain,
% 73.13/46.31 (~v1(constB109)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 73.13/46.31 tff(18115,plain,
% 73.13/46.31 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18116,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 73.13/46.31 tff(18117,plain,
% 73.13/46.31 (nextState(constB108, constB109)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18116, 18115])).
% 73.13/46.31 tff(18118,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18119,plain,
% 73.13/46.31 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18120,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18119])).
% 73.13/46.31 tff(18121,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18120, 18118])).
% 73.13/46.31 tff(18122,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18123,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 73.13/46.31 tff(18124,plain,
% 73.13/46.31 (~v101(constB109)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18123, 288, 18117, 18114])).
% 73.13/46.31 tff(18125,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18126,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18127,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18126, 18125])).
% 73.13/46.31 tff(18128,plain,
% 73.13/46.31 (v101(constB109) | (~v100(constB109))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18127, 305, 18117])).
% 73.13/46.31 tff(18129,plain,
% 73.13/46.31 (~v100(constB109)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18128, 18124])).
% 73.13/46.31 tff(18130,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18131,plain,
% 73.13/46.31 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18132,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18131])).
% 73.13/46.31 tff(18133,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18132, 18130])).
% 73.13/46.31 tff(18134,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18135,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 73.13/46.31 tff(18136,plain,
% 73.13/46.31 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18135, 320, 18117])).
% 73.13/46.31 tff(18137,plain,
% 73.13/46.31 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18136, 18129])).
% 73.13/46.31 tff(18138,plain,
% 73.13/46.31 (~v90(constB109, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18137, 18111])).
% 73.13/46.31 tff(18139,plain,
% 73.13/46.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18140,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18141,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 73.13/46.31 tff(18142,plain,
% 73.13/46.31 (~v130(constB107, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18141, 1690, 18085])).
% 73.13/46.31 tff(18143,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18144,plain,
% 73.13/46.31 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18145,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18144])).
% 73.13/46.31 tff(18146,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18145, 18143])).
% 73.13/46.31 tff(18147,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18148,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 73.13/46.31 tff(18149,plain,
% 73.13/46.31 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18148, 769, 18032])).
% 73.13/46.31 tff(18150,plain,
% 73.13/46.31 (~v127(constB107, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18149, 18142])).
% 73.13/46.31 tff(18151,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18152,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18153,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18152, 18151])).
% 73.13/46.31 tff(18154,plain,
% 73.13/46.31 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18153, 787, 18044])).
% 73.13/46.31 tff(18155,plain,
% 73.13/46.31 (~v129(constB108, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18154, 18150])).
% 73.13/46.31 tff(18156,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18157,plain,
% 73.13/46.31 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18158,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18157])).
% 73.13/46.31 tff(18159,plain,
% 73.13/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18158, 18156])).
% 73.13/46.31 tff(18160,plain,
% 73.13/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18161,plain,
% 73.13/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 73.13/46.31 tff(18162,plain,
% 73.13/46.31 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18161, 802, 18103])).
% 73.13/46.31 tff(18163,plain,
% 73.13/46.31 (~v90(constB108, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18162, 18155])).
% 73.13/46.31 tff(18164,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18165,plain,
% 73.13/46.31 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18166,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18165])).
% 73.13/46.31 tff(18167,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18166, 18164])).
% 73.13/46.31 tff(18168,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18169,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18168, 18167])).
% 73.13/46.31 tff(18170,plain,
% 73.13/46.31 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18169, 362, 18117])).
% 73.13/46.31 tff(18171,plain,
% 73.13/46.31 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18170, 18129])).
% 73.13/46.31 tff(18172,plain,
% 73.13/46.31 (~v90(constB109, bitIndex0)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18171, 18163])).
% 73.13/46.31 tff(18173,plain,
% 73.13/46.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18174,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18175,plain,
% 73.13/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 73.13/46.31 tff(18176,plain,
% 73.13/46.31 (v130(constB107, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18175, 1649, 18085])).
% 73.13/46.31 tff(18177,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18178,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18179,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 73.13/46.31 tff(18180,plain,
% 73.13/46.31 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18179, 990, 18032])).
% 73.13/46.31 tff(18181,plain,
% 73.13/46.31 (v127(constB107, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18180, 18176])).
% 73.13/46.31 tff(18182,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18183,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18184,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18183, 18182])).
% 73.13/46.31 tff(18185,plain,
% 73.13/46.31 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18184, 1005, 18044])).
% 73.13/46.31 tff(18186,plain,
% 73.13/46.31 (v129(constB108, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18185, 18181])).
% 73.13/46.31 tff(18187,plain,
% 73.13/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18188,plain,
% 73.13/46.31 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18189,plain,
% 73.13/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18188])).
% 73.13/46.31 tff(18190,plain,
% 73.13/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18189, 18187])).
% 73.13/46.31 tff(18191,plain,
% 73.13/46.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18192,plain,
% 73.13/46.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 73.13/46.31 tff(18193,plain,
% 73.13/46.31 (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18192, 1020, 18103])).
% 73.13/46.31 tff(18194,plain,
% 73.13/46.31 (v90(constB108, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18193, 18186])).
% 73.13/46.31 tff(18195,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18196,plain,
% 73.13/46.31 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18197,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 73.13/46.31 inference(monotonicity,[status(thm)],[18196])).
% 73.13/46.31 tff(18198,plain,
% 73.13/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.13/46.31 inference(transitivity,[status(thm)],[18197, 18195])).
% 73.13/46.31 tff(18199,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18200,plain,
% 73.13/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 73.13/46.31 tff(18201,plain,
% 73.13/46.31 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18200, 1038, 18117])).
% 73.13/46.31 tff(18202,plain,
% 73.13/46.31 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18201, 18129])).
% 73.13/46.31 tff(18203,plain,
% 73.13/46.31 (v90(constB109, bitIndex1)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18202, 18194])).
% 73.13/46.31 tff(18204,assumption,(~v121(constB109)), introduced(assumption)).
% 73.13/46.31 tff(18205,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18206,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18207,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 73.13/46.31 tff(18208,plain,
% 73.13/46.31 (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18207, 1734, 18204])).
% 73.13/46.31 tff(18209,plain,
% 73.13/46.31 ($false),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18208, 18203, 18172, 18138])).
% 73.13/46.31 tff(18210,plain,((~v120(constB107)) | v121(constB109) | (~v100(constB108))), inference(lemma,lemma(discharge,[]))).
% 73.13/46.31 tff(18211,plain,
% 73.13/46.31 (v121(constB109)),
% 73.13/46.31 inference(unit_resolution,[status(thm)],[18210, 18084, 18004])).
% 73.13/46.31 tff(18212,plain,
% 73.13/46.31 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109)))),
% 73.13/46.31 inference(rewrite,[status(thm)],[])).
% 73.13/46.31 tff(18213,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))),
% 73.13/46.31 inference(quant_inst,[status(thm)],[])).
% 73.13/46.31 tff(18214,plain,
% 73.13/46.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109))),
% 73.13/46.31 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 73.13/46.32 tff(18215,plain,
% 73.13/46.32 (v117(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18214, 1775, 18211])).
% 73.13/46.32 tff(18216,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18217,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18218,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 73.13/46.32 tff(18219,plain,
% 73.13/46.32 (v116(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18218, 416, 18215])).
% 73.13/46.32 tff(18220,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18221,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18222,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 73.13/46.32 tff(18223,plain,
% 73.13/46.32 (v115(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18222, 427, 18219])).
% 73.13/46.32 tff(18224,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18225,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18226,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18225, 18224])).
% 73.13/46.32 tff(18227,plain,
% 73.13/46.32 (v114(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18226, 438, 18223])).
% 73.13/46.32 tff(18228,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18229,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18230,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18229, 18228])).
% 73.13/46.32 tff(18231,plain,
% 73.13/46.32 (v113(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18230, 449, 18227])).
% 73.13/46.32 tff(18232,assumption,(v26(constB109)), introduced(assumption)).
% 73.13/46.32 tff(18233,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18234,plain,
% 73.13/46.32 ($false),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18233, 26, 18232])).
% 73.13/46.32 tff(18235,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.32 tff(18236,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18237,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18238,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 73.13/46.32 tff(18239,plain,
% 73.13/46.32 ((~v113(constB109)) | v112(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18238, 463, 18235])).
% 73.13/46.32 tff(18240,plain,
% 73.13/46.32 (v112(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18239, 18231])).
% 73.13/46.32 tff(18241,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18242,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18243,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 73.13/46.32 tff(18244,plain,
% 73.13/46.32 (v108(constB109)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18243, 475, 18240])).
% 73.13/46.32 tff(18245,plain,
% 73.13/46.32 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18246,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 73.13/46.32 tff(18247,plain,
% 73.13/46.32 (nextState(constB109, constB110)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18246, 18245])).
% 73.13/46.32 tff(18248,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18249,plain,
% 73.13/46.32 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18250,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18249])).
% 73.13/46.32 tff(18251,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18250, 18248])).
% 73.13/46.32 tff(18252,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18253,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18252, 18251])).
% 73.13/46.32 tff(18254,plain,
% 73.13/46.32 (v110(constB110) | (~v108(constB109))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18253, 492, 18247])).
% 73.13/46.32 tff(18255,plain,
% 73.13/46.32 (v110(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18254, 18244])).
% 73.13/46.32 tff(18256,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18257,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18258,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 73.13/46.32 tff(18259,plain,
% 73.13/46.32 (~v104(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18258, 510, 18247, 18114])).
% 73.13/46.32 tff(18260,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18261,plain,
% 73.13/46.32 (((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18262,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18261])).
% 73.13/46.32 tff(18263,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18262, 18260])).
% 73.13/46.32 tff(18264,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18265,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 73.13/46.32 tff(18266,plain,
% 73.13/46.32 (v104(constB110) | v102(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18265, 524, 18247])).
% 73.13/46.32 tff(18267,plain,
% 73.13/46.32 (v102(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18266, 18259])).
% 73.13/46.32 tff(18268,plain,
% 73.13/46.32 (v1(constB110) <=> v1(constB110)),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18269,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 73.13/46.32 tff(18270,plain,
% 73.13/46.32 (v1(constB110)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18269, 18268])).
% 73.13/46.32 tff(18271,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18272,plain,
% 73.13/46.32 (((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))) <=> ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18273,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18272])).
% 73.13/46.32 tff(18274,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18273, 18271])).
% 73.13/46.32 tff(18275,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18276,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 73.13/46.32 tff(18277,plain,
% 73.13/46.32 (v101(constB110) | (~v102(constB110))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18276, 545, 18247, 18270])).
% 73.13/46.32 tff(18278,plain,
% 73.13/46.32 (v101(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18277, 18267])).
% 73.13/46.32 tff(18279,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18280,plain,
% 73.13/46.32 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18281,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18280])).
% 73.13/46.32 tff(18282,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18281, 18279])).
% 73.13/46.32 tff(18283,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18284,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18283, 18282])).
% 73.13/46.32 tff(18285,plain,
% 73.13/46.32 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18284, 563, 18247])).
% 73.13/46.32 tff(18286,plain,
% 73.13/46.32 (v100(constB110) | (~v110(constB110))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18285, 18278])).
% 73.13/46.32 tff(18287,plain,
% 73.13/46.32 (v100(constB110)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18286, 18255])).
% 73.13/46.32 tff(18288,plain,
% 73.13/46.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18289,plain,
% 73.13/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18290,plain,
% 73.13/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18289, 18288])).
% 73.13/46.32 tff(18291,plain,
% 73.13/46.32 (~v130(constB109, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18290, 1748, 18211])).
% 73.13/46.32 tff(18292,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18293,plain,
% 73.13/46.32 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18294,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18293])).
% 73.13/46.32 tff(18295,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18294, 18292])).
% 73.13/46.32 tff(18296,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18297,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18296, 18295])).
% 73.13/46.32 tff(18298,plain,
% 73.13/46.32 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18297, 1271, 18235])).
% 73.13/46.32 tff(18299,plain,
% 73.13/46.32 (~v127(constB109, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18298, 18291])).
% 73.13/46.32 tff(18300,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18301,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18302,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 73.13/46.32 tff(18303,plain,
% 73.13/46.32 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18302, 1289, 18247])).
% 73.13/46.32 tff(18304,plain,
% 73.13/46.32 (~v129(constB110, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18303, 18299])).
% 73.13/46.32 tff(18305,plain,
% 73.13/46.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18306,plain,
% 73.13/46.32 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18307,plain,
% 73.13/46.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18306])).
% 73.13/46.32 tff(18308,plain,
% 73.13/46.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18307, 18305])).
% 73.13/46.32 tff(18309,plain,
% 73.13/46.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18310,plain,
% 73.13/46.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18309, 18308])).
% 73.13/46.32 tff(18311,plain,
% 73.13/46.32 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18310, 1304, 18304])).
% 73.13/46.32 tff(18312,plain,
% 73.13/46.32 (~v90(constB110, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18311, 18287])).
% 73.13/46.32 tff(18313,plain,
% 73.13/46.32 ((~v1(constB111)) <=> (~v1(constB111))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18314,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 73.13/46.32 tff(18315,plain,
% 73.13/46.32 (~v1(constB111)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 73.13/46.32 tff(18316,plain,
% 73.13/46.32 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18317,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 73.13/46.32 tff(18318,plain,
% 73.13/46.32 (nextState(constB110, constB111)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18317, 18316])).
% 73.13/46.32 tff(18319,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18320,plain,
% 73.13/46.32 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18321,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18320])).
% 73.13/46.32 tff(18322,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18321, 18319])).
% 73.13/46.32 tff(18323,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18324,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 73.13/46.32 tff(18325,plain,
% 73.13/46.32 (~v101(constB111)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18324, 288, 18318, 18315])).
% 73.13/46.32 tff(18326,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18327,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18328,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 73.13/46.32 tff(18329,plain,
% 73.13/46.32 (v101(constB111) | (~v100(constB111))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18328, 305, 18318])).
% 73.13/46.32 tff(18330,plain,
% 73.13/46.32 (~v100(constB111)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18329, 18325])).
% 73.13/46.32 tff(18331,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18332,plain,
% 73.13/46.32 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18333,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18332])).
% 73.13/46.32 tff(18334,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18333, 18331])).
% 73.13/46.32 tff(18335,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18336,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 73.13/46.32 tff(18337,plain,
% 73.13/46.32 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18336, 320, 18318])).
% 73.13/46.32 tff(18338,plain,
% 73.13/46.32 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18337, 18330])).
% 73.13/46.32 tff(18339,plain,
% 73.13/46.32 (~v90(constB111, bitIndex2)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18338, 18312])).
% 73.13/46.32 tff(18340,plain,
% 73.13/46.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18341,plain,
% 73.13/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18342,plain,
% 73.13/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 73.13/46.32 tff(18343,plain,
% 73.13/46.32 (v130(constB109, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18342, 1904, 18211])).
% 73.13/46.32 tff(18344,plain,
% 73.13/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18345,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18346,plain,
% 73.13/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 73.13/46.32 tff(18347,plain,
% 73.13/46.32 ((~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18346, 990, 18235])).
% 73.13/46.32 tff(18348,plain,
% 73.13/46.32 (v127(constB109, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18347, 18343])).
% 73.13/46.32 tff(18349,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18350,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18351,plain,
% 73.13/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 73.13/46.32 tff(18352,plain,
% 73.13/46.32 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18351, 1005, 18247])).
% 73.13/46.32 tff(18353,plain,
% 73.13/46.32 (v129(constB110, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18352, 18348])).
% 73.13/46.32 tff(18354,plain,
% 73.13/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18355,plain,
% 73.13/46.32 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18356,plain,
% 73.13/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))))),
% 73.13/46.32 inference(monotonicity,[status(thm)],[18355])).
% 73.13/46.32 tff(18357,plain,
% 73.13/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.13/46.32 inference(transitivity,[status(thm)],[18356, 18354])).
% 73.13/46.32 tff(18358,plain,
% 73.13/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 73.13/46.32 inference(quant_inst,[status(thm)],[])).
% 73.13/46.32 tff(18359,plain,
% 73.13/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 73.13/46.32 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 73.13/46.32 tff(18360,plain,
% 73.13/46.32 (v90(constB110, bitIndex1) | (~v100(constB110))),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18359, 1020, 18353])).
% 73.13/46.32 tff(18361,plain,
% 73.13/46.32 (v90(constB110, bitIndex1)),
% 73.13/46.32 inference(unit_resolution,[status(thm)],[18360, 18287])).
% 73.13/46.32 tff(18362,plain,
% 73.13/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 73.13/46.32 inference(rewrite,[status(thm)],[])).
% 73.13/46.32 tff(18363,plain,
% 73.13/46.32 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18364,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18363])).
% 73.13/46.33 tff(18365,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18364, 18362])).
% 73.13/46.33 tff(18366,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18367,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 73.13/46.33 tff(18368,plain,
% 73.13/46.33 ((~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18367, 1038, 18318])).
% 73.13/46.33 tff(18369,plain,
% 73.13/46.33 ((~v90(constB110, bitIndex1)) | v90(constB111, bitIndex1)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18368, 18330])).
% 73.13/46.33 tff(18370,plain,
% 73.13/46.33 (v90(constB111, bitIndex1)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18369, 18361])).
% 73.13/46.33 tff(18371,plain,
% 73.13/46.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18372,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18373,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 73.13/46.33 tff(18374,plain,
% 73.13/46.33 (v130(constB109, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18373, 1945, 18211])).
% 73.13/46.33 tff(18375,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18376,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18377,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 73.13/46.33 tff(18378,plain,
% 73.13/46.33 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18377, 1413, 18235])).
% 73.13/46.33 tff(18379,plain,
% 73.13/46.33 (v127(constB109, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18378, 18374])).
% 73.13/46.33 tff(18380,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18381,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18382,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18381, 18380])).
% 73.13/46.33 tff(18383,plain,
% 73.13/46.33 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18382, 1428, 18247])).
% 73.13/46.33 tff(18384,plain,
% 73.13/46.33 (v129(constB110, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18383, 18379])).
% 73.13/46.33 tff(18385,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18386,plain,
% 73.13/46.33 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18387,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18386])).
% 73.13/46.33 tff(18388,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18387, 18385])).
% 73.13/46.33 tff(18389,plain,
% 73.13/46.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18390,plain,
% 73.13/46.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18389, 18388])).
% 73.13/46.33 tff(18391,plain,
% 73.13/46.33 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18390, 1443, 18384])).
% 73.13/46.33 tff(18392,plain,
% 73.13/46.33 (v90(constB110, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18391, 18287])).
% 73.13/46.33 tff(18393,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18394,plain,
% 73.13/46.33 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18395,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18394])).
% 73.13/46.33 tff(18396,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18395, 18393])).
% 73.13/46.33 tff(18397,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18398,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 73.13/46.33 tff(18399,plain,
% 73.13/46.33 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18398, 1461, 18318])).
% 73.13/46.33 tff(18400,plain,
% 73.13/46.33 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18399, 18330])).
% 73.13/46.33 tff(18401,plain,
% 73.13/46.33 (v90(constB111, bitIndex0)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18400, 18392])).
% 73.13/46.33 tff(18402,plain,
% 73.13/46.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18403,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18404,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 73.13/46.33 tff(18405,plain,
% 73.13/46.33 (v122(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18404, 1986, 18401, 18370, 18339])).
% 73.13/46.33 tff(18406,assumption,(~v123(constB113)), introduced(assumption)).
% 73.13/46.33 tff(18407,assumption,(v122(constB111)), introduced(assumption)).
% 73.13/46.33 tff(18408,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18409,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18410,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18409, 18408])).
% 73.13/46.33 tff(18411,plain,
% 73.13/46.33 (v116(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18410, 1997, 18407])).
% 73.13/46.33 tff(18412,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18413,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18414,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 73.13/46.33 tff(18415,plain,
% 73.13/46.33 (v115(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18414, 427, 18411])).
% 73.13/46.33 tff(18416,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18417,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18418,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 73.13/46.33 tff(18419,plain,
% 73.13/46.33 (v114(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18418, 438, 18415])).
% 73.13/46.33 tff(18420,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18421,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18422,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18421, 18420])).
% 73.13/46.33 tff(18423,plain,
% 73.13/46.33 (v113(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18422, 449, 18419])).
% 73.13/46.33 tff(18424,assumption,(v26(constB111)), introduced(assumption)).
% 73.13/46.33 tff(18425,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18426,plain,
% 73.13/46.33 ($false),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18425, 26, 18424])).
% 73.13/46.33 tff(18427,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.33 tff(18428,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18429,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18430,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 73.13/46.33 tff(18431,plain,
% 73.13/46.33 ((~v113(constB111)) | v112(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18430, 463, 18427])).
% 73.13/46.33 tff(18432,plain,
% 73.13/46.33 (v112(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18431, 18423])).
% 73.13/46.33 tff(18433,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18434,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18435,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 73.13/46.33 tff(18436,plain,
% 73.13/46.33 (v108(constB111)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18435, 475, 18432])).
% 73.13/46.33 tff(18437,plain,
% 73.13/46.33 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18438,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 73.13/46.33 tff(18439,plain,
% 73.13/46.33 (nextState(constB111, constB112)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18438, 18437])).
% 73.13/46.33 tff(18440,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18441,plain,
% 73.13/46.33 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18442,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18441])).
% 73.13/46.33 tff(18443,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18442, 18440])).
% 73.13/46.33 tff(18444,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18445,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 73.13/46.33 tff(18446,plain,
% 73.13/46.33 (v110(constB112) | (~v108(constB111))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18445, 492, 18439])).
% 73.13/46.33 tff(18447,plain,
% 73.13/46.33 (v110(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18446, 18436])).
% 73.13/46.33 tff(18448,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18449,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18450,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 73.13/46.33 tff(18451,plain,
% 73.13/46.33 (~v104(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18450, 510, 18439, 18315])).
% 73.13/46.33 tff(18452,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18453,plain,
% 73.13/46.33 (((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18454,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18453])).
% 73.13/46.33 tff(18455,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18454, 18452])).
% 73.13/46.33 tff(18456,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18457,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 73.13/46.33 tff(18458,plain,
% 73.13/46.33 (v104(constB112) | v102(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18457, 524, 18439])).
% 73.13/46.33 tff(18459,plain,
% 73.13/46.33 (v102(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18458, 18451])).
% 73.13/46.33 tff(18460,plain,
% 73.13/46.33 (v1(constB112) <=> v1(constB112)),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18461,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 73.13/46.33 tff(18462,plain,
% 73.13/46.33 (v1(constB112)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 73.13/46.33 tff(18463,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18464,plain,
% 73.13/46.33 (((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))) <=> ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18465,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18464])).
% 73.13/46.33 tff(18466,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18465, 18463])).
% 73.13/46.33 tff(18467,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18468,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18467, 18466])).
% 73.13/46.33 tff(18469,plain,
% 73.13/46.33 (v101(constB112) | (~v102(constB112))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18468, 545, 18439, 18462])).
% 73.13/46.33 tff(18470,plain,
% 73.13/46.33 (v101(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18469, 18459])).
% 73.13/46.33 tff(18471,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18472,plain,
% 73.13/46.33 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18473,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18472])).
% 73.13/46.33 tff(18474,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18473, 18471])).
% 73.13/46.33 tff(18475,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18476,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 73.13/46.33 tff(18477,plain,
% 73.13/46.33 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18476, 563, 18439])).
% 73.13/46.33 tff(18478,plain,
% 73.13/46.33 (v100(constB112) | (~v110(constB112))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18477, 18470])).
% 73.13/46.33 tff(18479,plain,
% 73.13/46.33 (v100(constB112)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18478, 18447])).
% 73.13/46.33 tff(18480,plain,
% 73.13/46.33 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18481,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18482,plain,
% 73.13/46.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 73.13/46.33 tff(18483,plain,
% 73.13/46.33 (v130(constB111, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18482, 2079, 18407])).
% 73.13/46.33 tff(18484,plain,
% 73.13/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18485,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18486,plain,
% 73.13/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18485, 18484])).
% 73.13/46.33 tff(18487,plain,
% 73.13/46.33 ((~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18486, 596, 18427])).
% 73.13/46.33 tff(18488,plain,
% 73.13/46.33 (v127(constB111, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18487, 18483])).
% 73.13/46.33 tff(18489,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18490,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18491,plain,
% 73.13/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 73.13/46.33 tff(18492,plain,
% 73.13/46.33 ((~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18491, 611, 18439])).
% 73.13/46.33 tff(18493,plain,
% 73.13/46.33 (v129(constB112, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18492, 18488])).
% 73.13/46.33 tff(18494,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18495,plain,
% 73.13/46.33 ((v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18496,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18495])).
% 73.13/46.33 tff(18497,plain,
% 73.13/46.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 73.13/46.33 inference(transitivity,[status(thm)],[18496, 18494])).
% 73.13/46.33 tff(18498,plain,
% 73.13/46.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))),
% 73.13/46.33 inference(quant_inst,[status(thm)],[])).
% 73.13/46.33 tff(18499,plain,
% 73.13/46.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18498, 18497])).
% 73.13/46.33 tff(18500,plain,
% 73.13/46.33 (v90(constB112, bitIndex2) | (~v100(constB112))),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18499, 626, 18493])).
% 73.13/46.33 tff(18501,plain,
% 73.13/46.33 (v90(constB112, bitIndex2)),
% 73.13/46.33 inference(unit_resolution,[status(thm)],[18500, 18479])).
% 73.13/46.33 tff(18502,plain,
% 73.13/46.33 ((~v1(constB113)) <=> (~v1(constB113))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18503,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 73.13/46.33 tff(18504,plain,
% 73.13/46.33 (~v1(constB113)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 73.13/46.33 tff(18505,plain,
% 73.13/46.33 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18506,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 73.13/46.33 tff(18507,plain,
% 73.13/46.33 (nextState(constB112, constB113)),
% 73.13/46.33 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 73.13/46.33 tff(18508,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18509,plain,
% 73.13/46.33 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.13/46.33 inference(rewrite,[status(thm)],[])).
% 73.13/46.33 tff(18510,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 73.13/46.33 inference(monotonicity,[status(thm)],[18509])).
% 73.13/46.33 tff(18511,plain,
% 73.13/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18510, 18508])).
% 73.13/46.34 tff(18512,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18513,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 73.13/46.34 tff(18514,plain,
% 73.13/46.34 (~v101(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18513, 288, 18507, 18504])).
% 73.13/46.34 tff(18515,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18516,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18517,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 73.13/46.34 tff(18518,plain,
% 73.13/46.34 (v101(constB113) | (~v100(constB113))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18517, 305, 18507])).
% 73.13/46.34 tff(18519,plain,
% 73.13/46.34 (~v100(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18518, 18514])).
% 73.13/46.34 tff(18520,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18521,plain,
% 73.13/46.34 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18522,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18521])).
% 73.13/46.34 tff(18523,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18522, 18520])).
% 73.13/46.34 tff(18524,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18525,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 73.13/46.34 tff(18526,plain,
% 73.13/46.34 ((~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18525, 662, 18507])).
% 73.13/46.34 tff(18527,plain,
% 73.13/46.34 ((~v90(constB112, bitIndex2)) | v90(constB113, bitIndex2)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18526, 18519])).
% 73.13/46.34 tff(18528,plain,
% 73.13/46.34 (v90(constB113, bitIndex2)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18527, 18501])).
% 73.13/46.34 tff(18529,plain,
% 73.13/46.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18530,plain,
% 73.13/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18531,plain,
% 73.13/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18530, 18529])).
% 73.13/46.34 tff(18532,plain,
% 73.13/46.34 (~v130(constB111, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18531, 2138, 18407])).
% 73.13/46.34 tff(18533,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18534,plain,
% 73.13/46.34 ((v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1))) <=> ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18535,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18534])).
% 73.13/46.34 tff(18536,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18535, 18533])).
% 73.13/46.34 tff(18537,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18538,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18537, 18536])).
% 73.13/46.34 tff(18539,plain,
% 73.13/46.34 ((~v127(constB111, bitIndex1)) | v130(constB111, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18538, 695, 18427])).
% 73.13/46.34 tff(18540,plain,
% 73.13/46.34 (~v127(constB111, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18539, 18532])).
% 73.13/46.34 tff(18541,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18542,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18543,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18542, 18541])).
% 73.13/46.34 tff(18544,plain,
% 73.13/46.34 (v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18543, 713, 18439])).
% 73.13/46.34 tff(18545,plain,
% 73.13/46.34 (~v129(constB112, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18544, 18540])).
% 73.13/46.34 tff(18546,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18547,plain,
% 73.13/46.34 (((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18548,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18547])).
% 73.13/46.34 tff(18549,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18548, 18546])).
% 73.13/46.34 tff(18550,plain,
% 73.13/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18551,plain,
% 73.13/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 73.13/46.34 tff(18552,plain,
% 73.13/46.34 ((~v90(constB112, bitIndex1)) | (~v100(constB112))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18551, 728, 18545])).
% 73.13/46.34 tff(18553,plain,
% 73.13/46.34 (~v90(constB112, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18552, 18479])).
% 73.13/46.34 tff(18554,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18555,plain,
% 73.13/46.34 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18556,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18555])).
% 73.13/46.34 tff(18557,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18556, 18554])).
% 73.13/46.34 tff(18558,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18559,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 73.13/46.34 tff(18560,plain,
% 73.13/46.34 (v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18559, 341, 18507])).
% 73.13/46.34 tff(18561,plain,
% 73.13/46.34 (v90(constB112, bitIndex1) | (~v90(constB113, bitIndex1))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18560, 18519])).
% 73.13/46.34 tff(18562,plain,
% 73.13/46.34 (~v90(constB113, bitIndex1)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18561, 18553])).
% 73.13/46.34 tff(18563,plain,
% 73.13/46.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18564,plain,
% 73.13/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18565,plain,
% 73.13/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18564, 18563])).
% 73.13/46.34 tff(18566,plain,
% 73.13/46.34 (~v130(constB111, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18565, 2182, 18407])).
% 73.13/46.34 tff(18567,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18568,plain,
% 73.13/46.34 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18569,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18568])).
% 73.13/46.34 tff(18570,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18569, 18567])).
% 73.13/46.34 tff(18571,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18572,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 73.13/46.34 tff(18573,plain,
% 73.13/46.34 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18572, 769, 18427])).
% 73.13/46.34 tff(18574,plain,
% 73.13/46.34 (~v127(constB111, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18573, 18566])).
% 73.13/46.34 tff(18575,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18576,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18577,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18576, 18575])).
% 73.13/46.34 tff(18578,plain,
% 73.13/46.34 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18577, 787, 18439])).
% 73.13/46.34 tff(18579,plain,
% 73.13/46.34 (~v129(constB112, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18578, 18574])).
% 73.13/46.34 tff(18580,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18581,plain,
% 73.13/46.34 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18582,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18581])).
% 73.13/46.34 tff(18583,plain,
% 73.13/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18582, 18580])).
% 73.13/46.34 tff(18584,plain,
% 73.13/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18585,plain,
% 73.13/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18584, 18583])).
% 73.13/46.34 tff(18586,plain,
% 73.13/46.34 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18585, 802, 18579])).
% 73.13/46.34 tff(18587,plain,
% 73.13/46.34 (~v90(constB112, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18586, 18479])).
% 73.13/46.34 tff(18588,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18589,plain,
% 73.13/46.34 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18590,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18589])).
% 73.13/46.34 tff(18591,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18590, 18588])).
% 73.13/46.34 tff(18592,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18593,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18592, 18591])).
% 73.13/46.34 tff(18594,plain,
% 73.13/46.34 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18593, 362, 18507])).
% 73.13/46.34 tff(18595,plain,
% 73.13/46.34 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18594, 18519])).
% 73.13/46.34 tff(18596,plain,
% 73.13/46.34 (~v90(constB113, bitIndex0)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18595, 18587])).
% 73.13/46.34 tff(18597,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18598,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18599,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18598, 18597])).
% 73.13/46.34 tff(18600,plain,
% 73.13/46.34 ($false),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18599, 829, 18596, 18562, 18528, 18406])).
% 73.13/46.34 tff(18601,plain,((~v122(constB111)) | v123(constB113)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.34 tff(18602,plain,
% 73.13/46.34 (v123(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18601, 18405])).
% 73.13/46.34 tff(18603,assumption,(v123(constB113)), introduced(assumption)).
% 73.13/46.34 tff(18604,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB113) | (~v123(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB113) | (~v123(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18605,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB113) | (~v123(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18606,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB113) | (~v123(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18605, 18604])).
% 73.13/46.34 tff(18607,plain,
% 73.13/46.34 (v115(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18606, 840, 18603])).
% 73.13/46.34 tff(18608,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18609,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18610,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18609, 18608])).
% 73.13/46.34 tff(18611,plain,
% 73.13/46.34 (v114(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18610, 438, 18607])).
% 73.13/46.34 tff(18612,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18613,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18614,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18613, 18612])).
% 73.13/46.34 tff(18615,plain,
% 73.13/46.34 (v113(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18614, 449, 18611])).
% 73.13/46.34 tff(18616,assumption,(~v108(constB113)), introduced(assumption)).
% 73.13/46.34 tff(18617,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18618,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18619,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18618, 18617])).
% 73.13/46.34 tff(18620,plain,
% 73.13/46.34 (~v112(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18619, 475, 18616])).
% 73.13/46.34 tff(18621,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB113) | (~v26(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB113) | (~v26(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18622,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB113) | (~v26(constB113)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18623,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB113) | (~v26(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 73.13/46.34 tff(18624,plain,
% 73.13/46.34 (~v26(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18623, 1807, 18616])).
% 73.13/46.34 tff(18625,assumption,(v113(constB113)), introduced(assumption)).
% 73.13/46.34 tff(18626,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18627,plain,
% 73.13/46.34 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18628,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18627])).
% 73.13/46.34 tff(18629,plain,
% 73.13/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18628, 18626])).
% 73.13/46.34 tff(18630,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18631,plain,
% 73.13/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18630, 18629])).
% 73.13/46.34 tff(18632,plain,
% 73.13/46.34 (v26(constB113) | v112(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18631, 463, 18625])).
% 73.13/46.34 tff(18633,plain,
% 73.13/46.34 ($false),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18632, 18624, 18620])).
% 73.13/46.34 tff(18634,plain,(v108(constB113) | (~v113(constB113))), inference(lemma,lemma(discharge,[]))).
% 73.13/46.34 tff(18635,plain,
% 73.13/46.34 (v108(constB113)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18634, 18615])).
% 73.13/46.34 tff(18636,plain,
% 73.13/46.34 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18637,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 73.13/46.34 tff(18638,plain,
% 73.13/46.34 (nextState(constB113, constB114)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 73.13/46.34 tff(18639,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18640,plain,
% 73.13/46.34 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18641,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18640])).
% 73.13/46.34 tff(18642,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18641, 18639])).
% 73.13/46.34 tff(18643,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18644,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18643, 18642])).
% 73.13/46.34 tff(18645,plain,
% 73.13/46.34 (v110(constB114) | (~v108(constB113))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18644, 492, 18638])).
% 73.13/46.34 tff(18646,plain,
% 73.13/46.34 (v110(constB114)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18645, 18635])).
% 73.13/46.34 tff(18647,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18648,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18649,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18648, 18647])).
% 73.13/46.34 tff(18650,plain,
% 73.13/46.34 (~v104(constB114)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18649, 510, 18638, 18504])).
% 73.13/46.34 tff(18651,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18652,plain,
% 73.13/46.34 (((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18653,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18652])).
% 73.13/46.34 tff(18654,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18653, 18651])).
% 73.13/46.34 tff(18655,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18656,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 73.13/46.34 tff(18657,plain,
% 73.13/46.34 (v104(constB114) | v102(constB114)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18656, 524, 18638])).
% 73.13/46.34 tff(18658,plain,
% 73.13/46.34 (v102(constB114)),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18657, 18650])).
% 73.13/46.34 tff(18659,plain,
% 73.13/46.34 (v1(constB114) <=> v1(constB114)),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18660,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 73.13/46.34 tff(18661,plain,
% 73.13/46.34 (v1(constB114)),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18660, 18659])).
% 73.13/46.34 tff(18662,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18663,plain,
% 73.13/46.34 (((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))) <=> ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 73.13/46.34 inference(rewrite,[status(thm)],[])).
% 73.13/46.34 tff(18664,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))))),
% 73.13/46.34 inference(monotonicity,[status(thm)],[18663])).
% 73.13/46.34 tff(18665,plain,
% 73.13/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 73.13/46.34 inference(transitivity,[status(thm)],[18664, 18662])).
% 73.13/46.34 tff(18666,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 73.13/46.34 inference(quant_inst,[status(thm)],[])).
% 73.13/46.34 tff(18667,plain,
% 73.13/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))),
% 73.13/46.34 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 73.13/46.34 tff(18668,plain,
% 73.13/46.34 (v101(constB114) | (~v102(constB114))),
% 73.13/46.34 inference(unit_resolution,[status(thm)],[18667, 545, 18638, 18661])).
% 73.13/46.34 tff(18669,plain,
% 73.13/46.34 (v101(constB114)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18668, 18658])).
% 73.13/46.35 tff(18670,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18671,plain,
% 73.13/46.35 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18672,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 73.13/46.35 inference(monotonicity,[status(thm)],[18671])).
% 73.13/46.35 tff(18673,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.13/46.35 inference(transitivity,[status(thm)],[18672, 18670])).
% 73.13/46.35 tff(18674,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18675,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18674, 18673])).
% 73.13/46.35 tff(18676,plain,
% 73.13/46.35 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18675, 563, 18638])).
% 73.13/46.35 tff(18677,plain,
% 73.13/46.35 (v100(constB114) | (~v110(constB114))),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18676, 18669])).
% 73.13/46.35 tff(18678,plain,
% 73.13/46.35 (v100(constB114)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18677, 18646])).
% 73.13/46.35 tff(18679,plain,
% 73.13/46.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18680,plain,
% 73.13/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18681,plain,
% 73.13/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2)),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 73.13/46.35 tff(18682,plain,
% 73.13/46.35 (v130(constB113, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18681, 917, 18603])).
% 73.13/46.35 tff(18683,assumption,(v26(constB113)), introduced(assumption)).
% 73.13/46.35 tff(18684,plain,
% 73.13/46.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18685,plain,
% 73.13/46.35 ($false),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18684, 26, 18683])).
% 73.13/46.35 tff(18686,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 73.13/46.35 tff(18687,plain,
% 73.13/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18688,plain,
% 73.13/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18689,plain,
% 73.13/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 73.13/46.35 tff(18690,plain,
% 73.13/46.35 ((~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18689, 596, 18686])).
% 73.13/46.35 tff(18691,plain,
% 73.13/46.35 (v127(constB113, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18690, 18682])).
% 73.13/46.35 tff(18692,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18693,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18694,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 73.13/46.35 tff(18695,plain,
% 73.13/46.35 ((~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18694, 611, 18638])).
% 73.13/46.35 tff(18696,plain,
% 73.13/46.35 (v129(constB114, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18695, 18691])).
% 73.13/46.35 tff(18697,plain,
% 73.13/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18698,plain,
% 73.13/46.35 ((v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18699,plain,
% 73.13/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))))),
% 73.13/46.35 inference(monotonicity,[status(thm)],[18698])).
% 73.13/46.35 tff(18700,plain,
% 73.13/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 73.13/46.35 inference(transitivity,[status(thm)],[18699, 18697])).
% 73.13/46.35 tff(18701,plain,
% 73.13/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18702,plain,
% 73.13/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18701, 18700])).
% 73.13/46.35 tff(18703,plain,
% 73.13/46.35 (v90(constB114, bitIndex2) | (~v100(constB114))),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18702, 626, 18696])).
% 73.13/46.35 tff(18704,plain,
% 73.13/46.35 (v90(constB114, bitIndex2)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18703, 18678])).
% 73.13/46.35 tff(18705,plain,
% 73.13/46.35 ((~v1(constB115)) <=> (~v1(constB115))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18706,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 73.13/46.35 tff(18707,plain,
% 73.13/46.35 (~v1(constB115)),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18706, 18705])).
% 73.13/46.35 tff(18708,plain,
% 73.13/46.35 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18709,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 73.13/46.35 tff(18710,plain,
% 73.13/46.35 (nextState(constB114, constB115)),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18709, 18708])).
% 73.13/46.35 tff(18711,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18712,plain,
% 73.13/46.35 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18713,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 73.13/46.35 inference(monotonicity,[status(thm)],[18712])).
% 73.13/46.35 tff(18714,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.13/46.35 inference(transitivity,[status(thm)],[18713, 18711])).
% 73.13/46.35 tff(18715,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 73.13/46.35 inference(quant_inst,[status(thm)],[])).
% 73.13/46.35 tff(18716,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 73.13/46.35 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 73.13/46.35 tff(18717,plain,
% 73.13/46.35 (~v101(constB115)),
% 73.13/46.35 inference(unit_resolution,[status(thm)],[18716, 288, 18710, 18707])).
% 73.13/46.35 tff(18718,plain,
% 73.13/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 73.13/46.35 inference(rewrite,[status(thm)],[])).
% 73.13/46.35 tff(18719,plain,
% 73.13/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18720,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 73.20/46.35 tff(18721,plain,
% 73.20/46.35 (v101(constB115) | (~v100(constB115))),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18720, 305, 18710])).
% 73.20/46.35 tff(18722,plain,
% 73.20/46.35 (~v100(constB115)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18721, 18717])).
% 73.20/46.35 tff(18723,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18724,plain,
% 73.20/46.35 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18725,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)))),
% 73.20/46.35 inference(monotonicity,[status(thm)],[18724])).
% 73.20/46.35 tff(18726,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 73.20/46.35 inference(transitivity,[status(thm)],[18725, 18723])).
% 73.20/46.35 tff(18727,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18728,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 73.20/46.35 tff(18729,plain,
% 73.20/46.35 ((~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18728, 662, 18710])).
% 73.20/46.35 tff(18730,plain,
% 73.20/46.35 ((~v90(constB114, bitIndex2)) | v90(constB115, bitIndex2)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18729, 18722])).
% 73.20/46.35 tff(18731,plain,
% 73.20/46.35 (v90(constB115, bitIndex2)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18730, 18704])).
% 73.20/46.35 tff(18732,plain,
% 73.20/46.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18733,plain,
% 73.20/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18734,plain,
% 73.20/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 73.20/46.35 tff(18735,plain,
% 73.20/46.35 (v130(constB113, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18734, 976, 18603])).
% 73.20/46.35 tff(18736,plain,
% 73.20/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18737,plain,
% 73.20/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18738,plain,
% 73.20/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18737, 18736])).
% 73.20/46.35 tff(18739,plain,
% 73.20/46.35 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18738, 990, 18686])).
% 73.20/46.35 tff(18740,plain,
% 73.20/46.35 (v127(constB113, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18739, 18735])).
% 73.20/46.35 tff(18741,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18742,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18743,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 73.20/46.35 tff(18744,plain,
% 73.20/46.35 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18743, 1005, 18638])).
% 73.20/46.35 tff(18745,plain,
% 73.20/46.35 (v129(constB114, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18744, 18740])).
% 73.20/46.35 tff(18746,plain,
% 73.20/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18747,plain,
% 73.20/46.35 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18748,plain,
% 73.20/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 73.20/46.35 inference(monotonicity,[status(thm)],[18747])).
% 73.20/46.35 tff(18749,plain,
% 73.20/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.20/46.35 inference(transitivity,[status(thm)],[18748, 18746])).
% 73.20/46.35 tff(18750,plain,
% 73.20/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18751,plain,
% 73.20/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 73.20/46.35 tff(18752,plain,
% 73.20/46.35 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18751, 1020, 18745])).
% 73.20/46.35 tff(18753,plain,
% 73.20/46.35 (v90(constB114, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18752, 18678])).
% 73.20/46.35 tff(18754,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18755,plain,
% 73.20/46.35 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18756,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 73.20/46.35 inference(monotonicity,[status(thm)],[18755])).
% 73.20/46.35 tff(18757,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.20/46.35 inference(transitivity,[status(thm)],[18756, 18754])).
% 73.20/46.35 tff(18758,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18759,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18758, 18757])).
% 73.20/46.35 tff(18760,plain,
% 73.20/46.35 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18759, 1038, 18710])).
% 73.20/46.35 tff(18761,plain,
% 73.20/46.35 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18760, 18722])).
% 73.20/46.35 tff(18762,plain,
% 73.20/46.35 (v90(constB115, bitIndex1)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18761, 18753])).
% 73.20/46.35 tff(18763,plain,
% 73.20/46.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18764,plain,
% 73.20/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18765,plain,
% 73.20/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0))),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18764, 18763])).
% 73.20/46.35 tff(18766,plain,
% 73.20/46.35 (~v130(constB113, bitIndex0)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18765, 1057, 18603])).
% 73.20/46.35 tff(18767,plain,
% 73.20/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18768,plain,
% 73.20/46.35 ((v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0))) <=> ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18769,plain,
% 73.20/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)))),
% 73.20/46.35 inference(monotonicity,[status(thm)],[18768])).
% 73.20/46.35 tff(18770,plain,
% 73.20/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 73.20/46.35 inference(transitivity,[status(thm)],[18769, 18767])).
% 73.20/46.35 tff(18771,plain,
% 73.20/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18772,plain,
% 73.20/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18771, 18770])).
% 73.20/46.35 tff(18773,plain,
% 73.20/46.35 ((~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18772, 769, 18686])).
% 73.20/46.35 tff(18774,plain,
% 73.20/46.35 (~v127(constB113, bitIndex0)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18773, 18766])).
% 73.20/46.35 tff(18775,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18776,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18777,plain,
% 73.20/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 73.20/46.35 tff(18778,plain,
% 73.20/46.35 (v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18777, 787, 18638])).
% 73.20/46.35 tff(18779,plain,
% 73.20/46.35 (~v129(constB114, bitIndex0)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18778, 18774])).
% 73.20/46.35 tff(18780,plain,
% 73.20/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18781,plain,
% 73.20/46.35 (((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18782,plain,
% 73.20/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))))),
% 73.20/46.35 inference(monotonicity,[status(thm)],[18781])).
% 73.20/46.35 tff(18783,plain,
% 73.20/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 73.20/46.35 inference(transitivity,[status(thm)],[18782, 18780])).
% 73.20/46.35 tff(18784,plain,
% 73.20/46.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))),
% 73.20/46.35 inference(quant_inst,[status(thm)],[])).
% 73.20/46.35 tff(18785,plain,
% 73.20/46.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))),
% 73.20/46.35 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 73.20/46.35 tff(18786,plain,
% 73.20/46.35 ((~v90(constB114, bitIndex0)) | (~v100(constB114))),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18785, 802, 18779])).
% 73.20/46.35 tff(18787,plain,
% 73.20/46.35 (~v90(constB114, bitIndex0)),
% 73.20/46.35 inference(unit_resolution,[status(thm)],[18786, 18678])).
% 73.20/46.35 tff(18788,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18789,plain,
% 73.20/46.35 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 73.20/46.35 inference(rewrite,[status(thm)],[])).
% 73.20/46.35 tff(18790,plain,
% 73.20/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18789])).
% 73.20/46.36 tff(18791,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18790, 18788])).
% 73.20/46.36 tff(18792,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18793,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18792, 18791])).
% 73.20/46.36 tff(18794,plain,
% 73.20/46.36 (v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18793, 362, 18710])).
% 73.20/46.36 tff(18795,plain,
% 73.20/46.36 (v90(constB114, bitIndex0) | (~v90(constB115, bitIndex0))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18794, 18722])).
% 73.20/46.36 tff(18796,plain,
% 73.20/46.36 (~v90(constB115, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18795, 18787])).
% 73.20/46.36 tff(18797,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18798,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18799,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 73.20/46.36 tff(18800,plain,
% 73.20/46.36 (v125(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18799, 1101, 18796, 18762, 18731])).
% 73.20/46.36 tff(18801,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB115) | (~v125(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB115) | (~v125(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18802,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB115) | (~v125(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18803,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB115) | (~v125(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 73.20/46.36 tff(18804,plain,
% 73.20/46.36 (v113(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18803, 1112, 18800])).
% 73.20/46.36 tff(18805,assumption,(v26(constB115)), introduced(assumption)).
% 73.20/46.36 tff(18806,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18807,plain,
% 73.20/46.36 ($false),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18806, 26, 18805])).
% 73.20/46.36 tff(18808,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 73.20/46.36 tff(18809,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18810,plain,
% 73.20/46.36 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18811,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18810])).
% 73.20/46.36 tff(18812,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18811, 18809])).
% 73.20/46.36 tff(18813,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18814,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 73.20/46.36 tff(18815,plain,
% 73.20/46.36 (v112(constB115) | (~v113(constB115))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18814, 463, 18808])).
% 73.20/46.36 tff(18816,plain,
% 73.20/46.36 (v112(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18815, 18804])).
% 73.20/46.36 tff(18817,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v121(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v121(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18818,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v121(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18819,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v121(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18818, 18817])).
% 73.20/46.36 tff(18820,plain,
% 73.20/46.36 (~v121(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18819, 1182, 18731])).
% 73.20/46.36 tff(18821,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18822,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18823,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 73.20/46.36 tff(18824,plain,
% 73.20/46.36 (~v119(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18823, 1207, 18762])).
% 73.20/46.36 tff(18825,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v120(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v120(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18826,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v120(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18827,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v120(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18826, 18825])).
% 73.20/46.36 tff(18828,plain,
% 73.20/46.36 (~v120(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18827, 1240, 18762])).
% 73.20/46.36 tff(18829,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v124(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v124(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18830,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v124(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18831,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v124(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 73.20/46.36 tff(18832,plain,
% 73.20/46.36 (~v124(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18831, 1229, 18762])).
% 73.20/46.36 tff(18833,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v122(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18834,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v122(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18835,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v122(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 73.20/46.36 tff(18836,plain,
% 73.20/46.36 (~v122(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18835, 1193, 18731])).
% 73.20/46.36 tff(18837,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v123(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v123(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18838,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v123(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18839,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v123(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 73.20/46.36 tff(18840,plain,
% 73.20/46.36 (~v123(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18839, 1218, 18762])).
% 73.20/46.36 tff(18841,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18842,plain,
% 73.20/46.36 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0)) <=> (v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18843,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115)))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18842])).
% 73.20/46.36 tff(18844,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18843, 18841])).
% 73.20/46.36 tff(18845,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18846,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 73.20/46.36 tff(18847,plain,
% 73.20/46.36 (v130(constB115, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18846, 1396, 18840, 18836, 18832, 18828, 18824, 18820])).
% 73.20/46.36 tff(18848,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18849,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18850,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 73.20/46.36 tff(18851,plain,
% 73.20/46.36 ((~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18850, 1413, 18808])).
% 73.20/46.36 tff(18852,plain,
% 73.20/46.36 (v127(constB115, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18851, 18847])).
% 73.20/46.36 tff(18853,plain,
% 73.20/46.36 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18854,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 73.20/46.36 tff(18855,plain,
% 73.20/46.36 (nextState(constB115, constB116)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 73.20/46.36 tff(18856,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18857,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18858,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18857, 18856])).
% 73.20/46.36 tff(18859,plain,
% 73.20/46.36 ((~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18858, 1428, 18855])).
% 73.20/46.36 tff(18860,plain,
% 73.20/46.36 (v129(constB116, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18859, 18852])).
% 73.20/46.36 tff(18861,assumption,(~v90(constB116, bitIndex0)), introduced(assumption)).
% 73.20/46.36 tff(18862,plain,
% 73.20/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18863,plain,
% 73.20/46.36 ((v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18864,plain,
% 73.20/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18863])).
% 73.20/46.36 tff(18865,plain,
% 73.20/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18864, 18862])).
% 73.20/46.36 tff(18866,plain,
% 73.20/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18867,plain,
% 73.20/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 73.20/46.36 tff(18868,plain,
% 73.20/46.36 ((~v129(constB116, bitIndex0)) | (~v100(constB116))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18867, 1443, 18861])).
% 73.20/46.36 tff(18869,plain,
% 73.20/46.36 (~v100(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18868, 18860])).
% 73.20/46.36 tff(18870,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18871,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18872,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 73.20/46.36 tff(18873,plain,
% 73.20/46.36 (~v104(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18872, 510, 18855, 18707])).
% 73.20/46.36 tff(18874,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18875,plain,
% 73.20/46.36 (((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18876,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18875])).
% 73.20/46.36 tff(18877,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18876, 18874])).
% 73.20/46.36 tff(18878,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18879,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18878, 18877])).
% 73.20/46.36 tff(18880,plain,
% 73.20/46.36 (v104(constB116) | v102(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18879, 524, 18855])).
% 73.20/46.36 tff(18881,plain,
% 73.20/46.36 (v102(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18880, 18873])).
% 73.20/46.36 tff(18882,plain,
% 73.20/46.36 (v1(constB116) <=> v1(constB116)),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18883,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 73.20/46.36 tff(18884,plain,
% 73.20/46.36 (v1(constB116)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18883, 18882])).
% 73.20/46.36 tff(18885,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18886,plain,
% 73.20/46.36 (((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))) <=> ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18887,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18886])).
% 73.20/46.36 tff(18888,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18887, 18885])).
% 73.20/46.36 tff(18889,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18890,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 73.20/46.36 tff(18891,plain,
% 73.20/46.36 (v101(constB116) | (~v102(constB116))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18890, 545, 18855, 18884])).
% 73.20/46.36 tff(18892,plain,
% 73.20/46.36 (v101(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18891, 18881])).
% 73.20/46.36 tff(18893,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18894,plain,
% 73.20/46.36 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18895,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18894])).
% 73.20/46.36 tff(18896,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18895, 18893])).
% 73.20/46.36 tff(18897,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18898,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 73.20/46.36 tff(18899,plain,
% 73.20/46.36 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18898, 563, 18855])).
% 73.20/46.36 tff(18900,plain,
% 73.20/46.36 (v100(constB116) | (~v110(constB116))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18899, 18892])).
% 73.20/46.36 tff(18901,plain,
% 73.20/46.36 (~v110(constB116)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18900, 18869])).
% 73.20/46.36 tff(18902,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18903,plain,
% 73.20/46.36 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18904,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18903])).
% 73.20/46.36 tff(18905,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18904, 18902])).
% 73.20/46.36 tff(18906,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18907,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 73.20/46.36 tff(18908,plain,
% 73.20/46.36 (v110(constB116) | (~v108(constB115))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18907, 492, 18855])).
% 73.20/46.36 tff(18909,plain,
% 73.20/46.36 (~v108(constB115)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18908, 18901])).
% 73.20/46.36 tff(18910,plain,
% 73.20/46.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18911,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18912,plain,
% 73.20/46.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 73.20/46.36 tff(18913,plain,
% 73.20/46.36 ($false),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18912, 475, 18909, 18816])).
% 73.20/46.36 tff(18914,plain,((~v123(constB113)) | v90(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.20/46.36 tff(18915,plain,
% 73.20/46.36 (v90(constB116, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18914, 18602])).
% 73.20/46.36 tff(18916,plain,
% 73.20/46.36 ((~v1(constB117)) <=> (~v1(constB117))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18917,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 73.20/46.36 tff(18918,plain,
% 73.20/46.36 (~v1(constB117)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 73.20/46.36 tff(18919,plain,
% 73.20/46.36 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18920,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 73.20/46.36 tff(18921,plain,
% 73.20/46.36 (nextState(constB116, constB117)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18920, 18919])).
% 73.20/46.36 tff(18922,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18923,plain,
% 73.20/46.36 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18924,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18923])).
% 73.20/46.36 tff(18925,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18924, 18922])).
% 73.20/46.36 tff(18926,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18927,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 73.20/46.36 tff(18928,plain,
% 73.20/46.36 (~v101(constB117)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18927, 288, 18921, 18918])).
% 73.20/46.36 tff(18929,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18930,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18931,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 73.20/46.36 tff(18932,plain,
% 73.20/46.36 (v101(constB117) | (~v100(constB117))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18931, 305, 18921])).
% 73.20/46.36 tff(18933,plain,
% 73.20/46.36 (~v100(constB117)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18932, 18928])).
% 73.20/46.36 tff(18934,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18935,plain,
% 73.20/46.36 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18936,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)))),
% 73.20/46.36 inference(monotonicity,[status(thm)],[18935])).
% 73.20/46.36 tff(18937,plain,
% 73.20/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 73.20/46.36 inference(transitivity,[status(thm)],[18936, 18934])).
% 73.20/46.36 tff(18938,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18939,plain,
% 73.20/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 73.20/46.36 tff(18940,plain,
% 73.20/46.36 ((~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18939, 1461, 18921])).
% 73.20/46.36 tff(18941,plain,
% 73.20/46.36 ((~v90(constB116, bitIndex0)) | v90(constB117, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18940, 18933])).
% 73.20/46.36 tff(18942,plain,
% 73.20/46.36 (v90(constB117, bitIndex0)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18941, 18915])).
% 73.20/46.36 tff(18943,plain,
% 73.20/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB117, bitIndex0)) | (~v119(constB117)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB117, bitIndex0)) | (~v119(constB117)))),
% 73.20/46.36 inference(rewrite,[status(thm)],[])).
% 73.20/46.36 tff(18944,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB117, bitIndex0)) | (~v119(constB117)))),
% 73.20/46.36 inference(quant_inst,[status(thm)],[])).
% 73.20/46.36 tff(18945,plain,
% 73.20/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB117, bitIndex0)) | (~v119(constB117))),
% 73.20/46.36 inference(modus_ponens,[status(thm)],[18944, 18943])).
% 73.20/46.36 tff(18946,plain,
% 73.20/46.36 (~v119(constB117)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18945, 3665, 18942])).
% 73.20/46.36 tff(18947,plain,
% 73.20/46.36 (v115(constB113)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18606, 840, 18602])).
% 73.20/46.36 tff(18948,plain,
% 73.20/46.36 (v114(constB113)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18610, 438, 18947])).
% 73.20/46.36 tff(18949,plain,
% 73.20/46.36 (v113(constB113)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18614, 449, 18948])).
% 73.20/46.36 tff(18950,plain,
% 73.20/46.36 (v108(constB113)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18634, 18949])).
% 73.20/46.36 tff(18951,plain,
% 73.20/46.36 (v110(constB114)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18645, 18950])).
% 73.20/46.36 tff(18952,plain,
% 73.20/46.36 (v100(constB114)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18677, 18951])).
% 73.20/46.36 tff(18953,plain,
% 73.20/46.36 (v130(constB113, bitIndex2)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18681, 917, 18602])).
% 73.20/46.36 tff(18954,plain,
% 73.20/46.36 (v127(constB113, bitIndex2)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18690, 18953])).
% 73.20/46.36 tff(18955,plain,
% 73.20/46.36 (v129(constB114, bitIndex2)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18695, 18954])).
% 73.20/46.36 tff(18956,plain,
% 73.20/46.36 (v90(constB114, bitIndex2) | (~v100(constB114))),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18702, 626, 18955])).
% 73.20/46.36 tff(18957,plain,
% 73.20/46.36 (v90(constB114, bitIndex2)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18956, 18952])).
% 73.20/46.36 tff(18958,plain,
% 73.20/46.36 (v90(constB115, bitIndex2)),
% 73.20/46.36 inference(unit_resolution,[status(thm)],[18730, 18957])).
% 73.20/46.37 tff(18959,plain,
% 73.20/46.37 (~v121(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18819, 1182, 18958])).
% 73.20/46.37 tff(18960,plain,
% 73.20/46.37 (v130(constB113, bitIndex1)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18734, 976, 18602])).
% 73.20/46.37 tff(18961,plain,
% 73.20/46.37 (v127(constB113, bitIndex1)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18739, 18960])).
% 73.20/46.37 tff(18962,plain,
% 73.20/46.37 (v129(constB114, bitIndex1)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18744, 18961])).
% 73.20/46.37 tff(18963,plain,
% 73.20/46.37 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18751, 1020, 18962])).
% 73.20/46.37 tff(18964,plain,
% 73.20/46.37 (v90(constB114, bitIndex1)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18963, 18952])).
% 73.20/46.37 tff(18965,plain,
% 73.20/46.37 (v90(constB115, bitIndex1)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18761, 18964])).
% 73.20/46.37 tff(18966,plain,
% 73.20/46.37 (~v119(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18823, 1207, 18965])).
% 73.20/46.37 tff(18967,plain,
% 73.20/46.37 (~v120(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18827, 1240, 18965])).
% 73.20/46.37 tff(18968,plain,
% 73.20/46.37 (~v124(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18831, 1229, 18965])).
% 73.20/46.37 tff(18969,plain,
% 73.20/46.37 (~v122(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18835, 1193, 18958])).
% 73.20/46.37 tff(18970,plain,
% 73.20/46.37 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))))),
% 73.20/46.37 inference(bind,[status(th)],[])).
% 73.20/46.37 tff(18971,plain,
% 73.20/46.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.20/46.37 inference(quant_intro,[status(thm)],[18970])).
% 73.20/46.37 tff(18972,plain,
% 73.20/46.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.20/46.37 inference(rewrite,[status(thm)],[])).
% 73.20/46.37 tff(18973,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 73.20/46.37 tff(18974,plain,
% 73.20/46.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.20/46.37 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 73.20/46.37 tff(18975,plain,(
% 73.20/46.37 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.20/46.37 inference(skolemize,[status(sab)],[18974])).
% 73.20/46.37 tff(18976,plain,
% 73.20/46.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.20/46.37 inference(modus_ponens,[status(thm)],[18975, 18971])).
% 73.20/46.37 tff(18977,plain,
% 73.20/46.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB116, bitIndex0)) | (~v125(constB116)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB116, bitIndex0)) | (~v125(constB116)))),
% 73.20/46.37 inference(rewrite,[status(thm)],[])).
% 73.20/46.37 tff(18978,plain,
% 73.20/46.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB116, bitIndex0)) | (~v125(constB116)))),
% 73.20/46.37 inference(quant_inst,[status(thm)],[])).
% 73.20/46.37 tff(18979,plain,
% 73.20/46.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB116, bitIndex0)) | (~v125(constB116))),
% 73.20/46.37 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 73.20/46.37 tff(18980,plain,
% 73.20/46.37 (~v125(constB116)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18979, 18976, 18915])).
% 73.20/46.37 tff(18981,assumption,(v123(constB115)), introduced(assumption)).
% 73.20/46.37 tff(18982,plain,
% 73.20/46.37 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB115) | (~v123(constB115)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB115) | (~v123(constB115)))),
% 73.20/46.37 inference(rewrite,[status(thm)],[])).
% 73.20/46.37 tff(18983,plain,
% 73.20/46.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB115) | (~v123(constB115)))),
% 73.20/46.37 inference(quant_inst,[status(thm)],[])).
% 73.20/46.37 tff(18984,plain,
% 73.20/46.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB115) | (~v123(constB115))),
% 73.20/46.37 inference(modus_ponens,[status(thm)],[18983, 18982])).
% 73.20/46.37 tff(18985,plain,
% 73.20/46.37 (v115(constB115)),
% 73.20/46.37 inference(unit_resolution,[status(thm)],[18984, 840, 18981])).
% 73.20/46.37 tff(18986,plain,
% 73.20/46.37 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(18987,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(18988,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 73.22/46.37 tff(18989,plain,
% 73.22/46.37 (v114(constB115)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18988, 438, 18985])).
% 73.22/46.37 tff(18990,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(18991,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(18992,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 73.22/46.37 tff(18993,plain,
% 73.22/46.37 (v113(constB115)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18992, 449, 18989])).
% 73.22/46.37 tff(18994,plain,
% 73.22/46.37 (v112(constB115)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18815, 18993])).
% 73.22/46.37 tff(18995,plain,
% 73.22/46.37 (v108(constB115)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18912, 475, 18994])).
% 73.22/46.37 tff(18996,plain,
% 73.22/46.37 (v110(constB116)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18908, 18995])).
% 73.22/46.37 tff(18997,plain,
% 73.22/46.37 (v100(constB116)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18900, 18996])).
% 73.22/46.37 tff(18998,plain,
% 73.22/46.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB115)) | v130(constB115, bitIndex2))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(18999,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB115)) | v130(constB115, bitIndex2))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19000,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB115)) | v130(constB115, bitIndex2)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[18999, 18998])).
% 73.22/46.37 tff(19001,plain,
% 73.22/46.37 (v130(constB115, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19000, 917, 18981])).
% 73.22/46.37 tff(19002,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19003,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19004,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 73.22/46.37 tff(19005,plain,
% 73.22/46.37 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19004, 596, 18808])).
% 73.22/46.37 tff(19006,plain,
% 73.22/46.37 (v127(constB115, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19005, 19001])).
% 73.22/46.37 tff(19007,plain,
% 73.22/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19008,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19009,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 73.22/46.37 tff(19010,plain,
% 73.22/46.37 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19009, 611, 18855])).
% 73.22/46.37 tff(19011,plain,
% 73.22/46.37 (v129(constB116, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19010, 19006])).
% 73.22/46.37 tff(19012,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19013,plain,
% 73.22/46.37 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19014,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19013])).
% 73.22/46.37 tff(19015,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19014, 19012])).
% 73.22/46.37 tff(19016,plain,
% 73.22/46.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19017,plain,
% 73.22/46.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 73.22/46.37 tff(19018,plain,
% 73.22/46.37 (v90(constB116, bitIndex2) | (~v100(constB116))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19017, 626, 19011])).
% 73.22/46.37 tff(19019,plain,
% 73.22/46.37 (v90(constB116, bitIndex2)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19018, 18997])).
% 73.22/46.37 tff(19020,plain,
% 73.22/46.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB115)) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB115)) | v130(constB115, bitIndex1))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19021,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB115)) | v130(constB115, bitIndex1))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19022,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB115)) | v130(constB115, bitIndex1)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 73.22/46.37 tff(19023,plain,
% 73.22/46.37 (v130(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19022, 976, 18981])).
% 73.22/46.37 tff(19024,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB115) | (~v130(constB115, bitIndex1)) | v127(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB115) | (~v130(constB115, bitIndex1)) | v127(constB115, bitIndex1))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19025,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB115) | (~v130(constB115, bitIndex1)) | v127(constB115, bitIndex1))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19026,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB115) | (~v130(constB115, bitIndex1)) | v127(constB115, bitIndex1)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 73.22/46.37 tff(19027,plain,
% 73.22/46.37 ((~v130(constB115, bitIndex1)) | v127(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19026, 990, 18808])).
% 73.22/46.37 tff(19028,plain,
% 73.22/46.37 (v127(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19027, 19023])).
% 73.22/46.37 tff(19029,plain,
% 73.22/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex1)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex1)) | v129(constB116, bitIndex1))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19030,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex1)) | v129(constB116, bitIndex1))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19031,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex1)) | v129(constB116, bitIndex1)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19030, 19029])).
% 73.22/46.37 tff(19032,plain,
% 73.22/46.37 ((~v127(constB115, bitIndex1)) | v129(constB116, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19031, 1005, 18855])).
% 73.22/46.37 tff(19033,plain,
% 73.22/46.37 (v129(constB116, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19032, 19028])).
% 73.22/46.37 tff(19034,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19035,plain,
% 73.22/46.37 ((v90(constB116, bitIndex1) | (~v100(constB116)) | (~v129(constB116, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19036,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~v100(constB116)) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116))))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19035])).
% 73.22/46.37 tff(19037,plain,
% 73.22/46.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~v100(constB116)) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116)))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19036, 19034])).
% 73.22/46.37 tff(19038,plain,
% 73.22/46.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~v100(constB116)) | (~v129(constB116, bitIndex1)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19039,plain,
% 73.22/46.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~v129(constB116, bitIndex1)) | (~v100(constB116))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19038, 19037])).
% 73.22/46.37 tff(19040,plain,
% 73.22/46.37 (v90(constB116, bitIndex1) | (~v100(constB116))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19039, 1020, 19033])).
% 73.22/46.37 tff(19041,plain,
% 73.22/46.37 (v90(constB116, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19040, 18997])).
% 73.22/46.37 tff(19042,plain,
% 73.22/46.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB115)) | (~v130(constB115, bitIndex0)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19043,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB115)) | (~v130(constB115, bitIndex0)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19044,plain,
% 73.22/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB115)) | (~v130(constB115, bitIndex0))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 73.22/46.37 tff(19045,plain,
% 73.22/46.37 (~v130(constB115, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19044, 1057, 18981])).
% 73.22/46.37 tff(19046,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19047,plain,
% 73.22/46.37 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19048,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19047])).
% 73.22/46.37 tff(19049,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19048, 19046])).
% 73.22/46.37 tff(19050,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19051,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 73.22/46.37 tff(19052,plain,
% 73.22/46.37 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19051, 769, 18808])).
% 73.22/46.37 tff(19053,plain,
% 73.22/46.37 (~v127(constB115, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19052, 19045])).
% 73.22/46.37 tff(19054,plain,
% 73.22/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19055,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19056,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 73.22/46.37 tff(19057,plain,
% 73.22/46.37 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19056, 787, 18855])).
% 73.22/46.37 tff(19058,plain,
% 73.22/46.37 (~v129(constB116, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19057, 19053])).
% 73.22/46.37 tff(19059,plain,
% 73.22/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19060,plain,
% 73.22/46.37 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19061,plain,
% 73.22/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19060])).
% 73.22/46.37 tff(19062,plain,
% 73.22/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19061, 19059])).
% 73.22/46.37 tff(19063,plain,
% 73.22/46.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19064,plain,
% 73.22/46.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19063, 19062])).
% 73.22/46.37 tff(19065,plain,
% 73.22/46.37 ((~v90(constB116, bitIndex0)) | (~v100(constB116))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19064, 802, 19058])).
% 73.22/46.37 tff(19066,plain,
% 73.22/46.37 (~v90(constB116, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19065, 18997])).
% 73.22/46.37 tff(19067,assumption,(~v125(constB116)), introduced(assumption)).
% 73.22/46.37 tff(19068,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB116, bitIndex0) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2)) | v125(constB116))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB116, bitIndex0) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2)) | v125(constB116))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19069,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB116, bitIndex0) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2)) | v125(constB116))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19070,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB116, bitIndex0) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2)) | v125(constB116)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 73.22/46.37 tff(19071,plain,
% 73.22/46.37 (v90(constB116, bitIndex0) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19070, 1101, 19067])).
% 73.22/46.37 tff(19072,plain,
% 73.22/46.37 ($false),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19071, 19066, 19041, 19019])).
% 73.22/46.37 tff(19073,plain,((~v123(constB115)) | v125(constB116)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.37 tff(19074,plain,
% 73.22/46.37 (~v123(constB115)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19073, 18980])).
% 73.22/46.37 tff(19075,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19076,plain,
% 73.22/46.37 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1))) <=> (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19077,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1))))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19076])).
% 73.22/46.37 tff(19078,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1)))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19077, 19075])).
% 73.22/46.37 tff(19079,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19080,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex1))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19079, 19078])).
% 73.22/46.37 tff(19081,plain,
% 73.22/46.37 (~v130(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19080, 1349, 19074, 18969, 18968, 18967, 18966, 18959])).
% 73.22/46.37 tff(19082,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19083,plain,
% 73.22/46.37 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19084,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 73.22/46.37 inference(monotonicity,[status(thm)],[19083])).
% 73.22/46.37 tff(19085,plain,
% 73.22/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.22/46.37 inference(transitivity,[status(thm)],[19084, 19082])).
% 73.22/46.37 tff(19086,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19087,plain,
% 73.22/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19086, 19085])).
% 73.22/46.37 tff(19088,plain,
% 73.22/46.37 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19087, 695, 18808])).
% 73.22/46.37 tff(19089,plain,
% 73.22/46.37 (~v127(constB115, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19088, 19081])).
% 73.22/46.37 tff(19090,plain,
% 73.22/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 73.22/46.37 inference(rewrite,[status(thm)],[])).
% 73.22/46.37 tff(19091,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 73.22/46.37 inference(quant_inst,[status(thm)],[])).
% 73.22/46.37 tff(19092,plain,
% 73.22/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 73.22/46.37 inference(modus_ponens,[status(thm)],[19091, 19090])).
% 73.22/46.37 tff(19093,plain,
% 73.22/46.37 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19092, 713, 18855])).
% 73.22/46.37 tff(19094,plain,
% 73.22/46.37 (~v129(constB116, bitIndex1)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[19093, 19089])).
% 73.22/46.37 tff(19095,plain,
% 73.22/46.37 (~v130(constB113, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18765, 1057, 18602])).
% 73.22/46.37 tff(19096,plain,
% 73.22/46.37 (~v127(constB113, bitIndex0)),
% 73.22/46.37 inference(unit_resolution,[status(thm)],[18773, 19095])).
% 73.22/46.38 tff(19097,plain,
% 73.22/46.38 (~v129(constB114, bitIndex0)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[18778, 19096])).
% 73.22/46.38 tff(19098,plain,
% 73.22/46.38 ((~v90(constB114, bitIndex0)) | (~v100(constB114))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[18785, 802, 19097])).
% 73.22/46.38 tff(19099,plain,
% 73.22/46.38 (~v90(constB114, bitIndex0)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19098, 18952])).
% 73.22/46.38 tff(19100,plain,
% 73.22/46.38 (~v90(constB115, bitIndex0)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[18795, 19099])).
% 73.22/46.38 tff(19101,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19102,plain,
% 73.22/46.38 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))) <=> (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19103,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19102])).
% 73.22/46.38 tff(19104,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19103, 19101])).
% 73.22/46.38 tff(19105,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19106,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 73.22/46.38 tff(19107,plain,
% 73.22/46.38 (v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19106, 362, 18855])).
% 73.22/46.38 tff(19108,plain,
% 73.22/46.38 (v100(constB116)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19107, 19100, 18915])).
% 73.22/46.38 tff(19109,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19110,plain,
% 73.22/46.38 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19111,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19110])).
% 73.22/46.38 tff(19112,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19111, 19109])).
% 73.22/46.38 tff(19113,plain,
% 73.22/46.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19114,plain,
% 73.22/46.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 73.22/46.38 tff(19115,plain,
% 73.22/46.38 ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19114, 728, 19108])).
% 73.22/46.38 tff(19116,plain,
% 73.22/46.38 (~v90(constB116, bitIndex1)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19115, 19094])).
% 73.22/46.38 tff(19117,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19118,plain,
% 73.22/46.38 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19119,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19118])).
% 73.22/46.38 tff(19120,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19119, 19117])).
% 73.22/46.38 tff(19121,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19122,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19121, 19120])).
% 73.22/46.38 tff(19123,plain,
% 73.22/46.38 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19122, 341, 18921])).
% 73.22/46.38 tff(19124,plain,
% 73.22/46.38 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19123, 18933])).
% 73.22/46.38 tff(19125,plain,
% 73.22/46.38 (~v90(constB117, bitIndex1)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19124, 19116])).
% 73.22/46.38 tff(19126,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19127,plain,
% 73.22/46.38 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2))) <=> (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19128,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19127])).
% 73.22/46.38 tff(19129,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19128, 19126])).
% 73.22/46.38 tff(19130,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19131,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~v130(constB115, bitIndex2))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19130, 19129])).
% 73.22/46.38 tff(19132,plain,
% 73.22/46.38 (~v130(constB115, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19131, 1254, 19074, 18969, 18968, 18967, 18966, 18959])).
% 73.22/46.38 tff(19133,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19134,plain,
% 73.22/46.38 ((v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2))) <=> ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19135,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19134])).
% 73.22/46.38 tff(19136,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19135, 19133])).
% 73.22/46.38 tff(19137,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19138,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 73.22/46.38 tff(19139,plain,
% 73.22/46.38 ((~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19138, 1271, 18808])).
% 73.22/46.38 tff(19140,plain,
% 73.22/46.38 (~v127(constB115, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19139, 19132])).
% 73.22/46.38 tff(19141,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19142,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19143,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 73.22/46.38 tff(19144,plain,
% 73.22/46.38 (v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19143, 1289, 18855])).
% 73.22/46.38 tff(19145,plain,
% 73.22/46.38 (~v129(constB116, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19144, 19140])).
% 73.22/46.38 tff(19146,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19147,plain,
% 73.22/46.38 (((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19148,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19147])).
% 73.22/46.38 tff(19149,plain,
% 73.22/46.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19148, 19146])).
% 73.22/46.38 tff(19150,plain,
% 73.22/46.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19151,plain,
% 73.22/46.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19150, 19149])).
% 73.22/46.38 tff(19152,plain,
% 73.22/46.38 ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19151, 1304, 19108])).
% 73.22/46.38 tff(19153,plain,
% 73.22/46.38 (~v90(constB116, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19152, 19145])).
% 73.22/46.38 tff(19154,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19155,plain,
% 73.22/46.38 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19156,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19155])).
% 73.22/46.38 tff(19157,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19156, 19154])).
% 73.22/46.38 tff(19158,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19159,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19158, 19157])).
% 73.22/46.38 tff(19160,plain,
% 73.22/46.38 (v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19159, 320, 18921])).
% 73.22/46.38 tff(19161,plain,
% 73.22/46.38 (v90(constB116, bitIndex2) | (~v90(constB117, bitIndex2))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19160, 18933])).
% 73.22/46.38 tff(19162,plain,
% 73.22/46.38 (~v90(constB117, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19161, 19153])).
% 73.22/46.38 tff(19163,assumption,(~v90(constB117, bitIndex1)), introduced(assumption)).
% 73.22/46.38 tff(19164,assumption,(~v90(constB117, bitIndex2)), introduced(assumption)).
% 73.22/46.38 tff(19165,assumption,(~v120(constB117)), introduced(assumption)).
% 73.22/46.38 tff(19166,plain,
% 73.22/46.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19167,plain,
% 73.22/46.38 (((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)) <=> ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19168,plain,
% 73.22/46.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19167])).
% 73.22/46.38 tff(19169,plain,
% 73.22/46.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19168, 19166])).
% 73.22/46.38 tff(19170,plain,
% 73.22/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19171,plain,
% 73.22/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 73.22/46.38 tff(19172,plain,
% 73.22/46.38 ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19171, 1480, 19165])).
% 73.22/46.38 tff(19173,plain,
% 73.22/46.38 (~v90(constB117, bitIndex0)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19172, 19164, 19163])).
% 73.22/46.38 tff(19174,assumption,(~v119(constB117)), introduced(assumption)).
% 73.22/46.38 tff(19175,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19176,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19177,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 73.22/46.38 tff(19178,plain,
% 73.22/46.38 (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19177, 383, 19174])).
% 73.22/46.38 tff(19179,plain,
% 73.22/46.38 ($false),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19178, 19173, 19164, 19163])).
% 73.22/46.38 tff(19180,plain,(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | v119(constB117) | v120(constB117)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.38 tff(19181,plain,
% 73.22/46.38 (v120(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19180, 19162, 19125, 18946])).
% 73.22/46.38 tff(19182,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB117) | (~v120(constB117)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB117) | (~v120(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19183,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB117) | (~v120(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19184,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB117) | (~v120(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 73.22/46.38 tff(19185,plain,
% 73.22/46.38 (v118(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19184, 1494, 19181])).
% 73.22/46.38 tff(19186,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB117) | (~v118(constB117)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB117) | (~v118(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19187,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB117) | (~v118(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19188,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB117) | (~v118(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 73.22/46.38 tff(19189,plain,
% 73.22/46.38 (v117(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19188, 405, 19185])).
% 73.22/46.38 tff(19190,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB117) | (~v117(constB117)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB117) | (~v117(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19191,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB117) | (~v117(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19192,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB117) | (~v117(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 73.22/46.38 tff(19193,plain,
% 73.22/46.38 (v116(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19192, 416, 19189])).
% 73.22/46.38 tff(19194,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB117) | (~v116(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19195,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB117) | (~v116(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19196,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB117) | (~v116(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 73.22/46.38 tff(19197,plain,
% 73.22/46.38 (v115(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19196, 427, 19193])).
% 73.22/46.38 tff(19198,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19199,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19200,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 73.22/46.38 tff(19201,plain,
% 73.22/46.38 (v114(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19200, 438, 19197])).
% 73.22/46.38 tff(19202,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19203,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19204,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 73.22/46.38 tff(19205,plain,
% 73.22/46.38 (v113(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19204, 449, 19201])).
% 73.22/46.38 tff(19206,assumption,(v26(constB117)), introduced(assumption)).
% 73.22/46.38 tff(19207,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19208,plain,
% 73.22/46.38 ($false),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19207, 26, 19206])).
% 73.22/46.38 tff(19209,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.38 tff(19210,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19211,plain,
% 73.22/46.38 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19212,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19211])).
% 73.22/46.38 tff(19213,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19212, 19210])).
% 73.22/46.38 tff(19214,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19215,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19214, 19213])).
% 73.22/46.38 tff(19216,plain,
% 73.22/46.38 (v112(constB117) | (~v113(constB117))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19215, 463, 19209])).
% 73.22/46.38 tff(19217,plain,
% 73.22/46.38 (v112(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19216, 19205])).
% 73.22/46.38 tff(19218,plain,
% 73.22/46.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19219,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19220,plain,
% 73.22/46.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19219, 19218])).
% 73.22/46.38 tff(19221,plain,
% 73.22/46.38 (v108(constB117)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19220, 475, 19217])).
% 73.22/46.38 tff(19222,plain,
% 73.22/46.38 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19223,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 73.22/46.38 tff(19224,plain,
% 73.22/46.38 (nextState(constB117, constB118)),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19223, 19222])).
% 73.22/46.38 tff(19225,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19226,plain,
% 73.22/46.38 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19227,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 73.22/46.38 inference(monotonicity,[status(thm)],[19226])).
% 73.22/46.38 tff(19228,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.22/46.38 inference(transitivity,[status(thm)],[19227, 19225])).
% 73.22/46.38 tff(19229,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19230,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 73.22/46.38 tff(19231,plain,
% 73.22/46.38 (v110(constB118) | (~v108(constB117))),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19230, 492, 19224])).
% 73.22/46.38 tff(19232,plain,
% 73.22/46.38 (v110(constB118)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19231, 19221])).
% 73.22/46.38 tff(19233,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 73.22/46.38 inference(rewrite,[status(thm)],[])).
% 73.22/46.38 tff(19234,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 73.22/46.38 inference(quant_inst,[status(thm)],[])).
% 73.22/46.38 tff(19235,plain,
% 73.22/46.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 73.22/46.38 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 73.22/46.38 tff(19236,plain,
% 73.22/46.38 (~v104(constB118)),
% 73.22/46.38 inference(unit_resolution,[status(thm)],[19235, 510, 19224, 18918])).
% 73.22/46.38 tff(19237,plain,
% 73.22/46.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19238,plain,
% 73.22/46.39 (((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19239,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19238])).
% 73.22/46.39 tff(19240,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19239, 19237])).
% 73.22/46.39 tff(19241,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19242,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19241, 19240])).
% 73.22/46.39 tff(19243,plain,
% 73.22/46.39 (v104(constB118) | v102(constB118)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19242, 524, 19224])).
% 73.22/46.39 tff(19244,plain,
% 73.22/46.39 (v102(constB118)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19243, 19236])).
% 73.22/46.39 tff(19245,plain,
% 73.22/46.39 (v1(constB118) <=> v1(constB118)),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19246,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 73.22/46.39 tff(19247,plain,
% 73.22/46.39 (v1(constB118)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19246, 19245])).
% 73.22/46.39 tff(19248,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19249,plain,
% 73.22/46.39 (((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))) <=> ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19250,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19249])).
% 73.22/46.39 tff(19251,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19250, 19248])).
% 73.22/46.39 tff(19252,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19253,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 73.22/46.39 tff(19254,plain,
% 73.22/46.39 (v101(constB118) | (~v102(constB118))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19253, 545, 19224, 19247])).
% 73.22/46.39 tff(19255,plain,
% 73.22/46.39 (v101(constB118)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19254, 19244])).
% 73.22/46.39 tff(19256,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19257,plain,
% 73.22/46.39 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19258,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19257])).
% 73.22/46.39 tff(19259,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19258, 19256])).
% 73.22/46.39 tff(19260,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19261,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19260, 19259])).
% 73.22/46.39 tff(19262,plain,
% 73.22/46.39 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19261, 563, 19224])).
% 73.22/46.39 tff(19263,plain,
% 73.22/46.39 (v100(constB118) | (~v110(constB118))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19262, 19255])).
% 73.22/46.39 tff(19264,plain,
% 73.22/46.39 (v100(constB118)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19263, 19232])).
% 73.22/46.39 tff(19265,plain,
% 73.22/46.39 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19266,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19267,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 73.22/46.39 tff(19268,plain,
% 73.22/46.39 (~v130(constB117, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19267, 1587, 19181])).
% 73.22/46.39 tff(19269,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19270,plain,
% 73.22/46.39 ((v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2))) <=> ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19271,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19270])).
% 73.22/46.39 tff(19272,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19271, 19269])).
% 73.22/46.39 tff(19273,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19274,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 73.22/46.39 tff(19275,plain,
% 73.22/46.39 ((~v127(constB117, bitIndex2)) | v130(constB117, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19274, 1271, 19209])).
% 73.22/46.39 tff(19276,plain,
% 73.22/46.39 (~v127(constB117, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19275, 19268])).
% 73.22/46.39 tff(19277,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19278,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19279,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19278, 19277])).
% 73.22/46.39 tff(19280,plain,
% 73.22/46.39 (v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19279, 1289, 19224])).
% 73.22/46.39 tff(19281,plain,
% 73.22/46.39 (~v129(constB118, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19280, 19276])).
% 73.22/46.39 tff(19282,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19283,plain,
% 73.22/46.39 (((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19284,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19283])).
% 73.22/46.39 tff(19285,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19284, 19282])).
% 73.22/46.39 tff(19286,plain,
% 73.22/46.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19287,plain,
% 73.22/46.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19286, 19285])).
% 73.22/46.39 tff(19288,plain,
% 73.22/46.39 ((~v90(constB118, bitIndex2)) | (~v100(constB118))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19287, 1304, 19281])).
% 73.22/46.39 tff(19289,plain,
% 73.22/46.39 (~v90(constB118, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19288, 19264])).
% 73.22/46.39 tff(19290,plain,
% 73.22/46.39 ((~v1(constB119)) <=> (~v1(constB119))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19291,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 73.22/46.39 tff(19292,plain,
% 73.22/46.39 (~v1(constB119)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 73.22/46.39 tff(19293,plain,
% 73.22/46.39 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19294,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 73.22/46.39 tff(19295,plain,
% 73.22/46.39 (nextState(constB118, constB119)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 73.22/46.39 tff(19296,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19297,plain,
% 73.22/46.39 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19298,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19297])).
% 73.22/46.39 tff(19299,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19298, 19296])).
% 73.22/46.39 tff(19300,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19301,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 73.22/46.39 tff(19302,plain,
% 73.22/46.39 (~v101(constB119)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19301, 288, 19295, 19292])).
% 73.22/46.39 tff(19303,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19304,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19305,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 73.22/46.39 tff(19306,plain,
% 73.22/46.39 (v101(constB119) | (~v100(constB119))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19305, 305, 19295])).
% 73.22/46.39 tff(19307,plain,
% 73.22/46.39 (~v100(constB119)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19306, 19302])).
% 73.22/46.39 tff(19308,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19309,plain,
% 73.22/46.39 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19310,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19309])).
% 73.22/46.39 tff(19311,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19310, 19308])).
% 73.22/46.39 tff(19312,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19313,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19312, 19311])).
% 73.22/46.39 tff(19314,plain,
% 73.22/46.39 (v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19313, 320, 19295])).
% 73.22/46.39 tff(19315,plain,
% 73.22/46.39 (v90(constB118, bitIndex2) | (~v90(constB119, bitIndex2))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19314, 19307])).
% 73.22/46.39 tff(19316,plain,
% 73.22/46.39 (~v90(constB119, bitIndex2)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19315, 19289])).
% 73.22/46.39 tff(19317,plain,
% 73.22/46.39 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19318,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19319,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 73.22/46.39 tff(19320,plain,
% 73.22/46.39 (v130(constB117, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19319, 1649, 19181])).
% 73.22/46.39 tff(19321,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19322,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19323,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19322, 19321])).
% 73.22/46.39 tff(19324,plain,
% 73.22/46.39 ((~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19323, 990, 19209])).
% 73.22/46.39 tff(19325,plain,
% 73.22/46.39 (v127(constB117, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19324, 19320])).
% 73.22/46.39 tff(19326,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19327,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19328,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19327, 19326])).
% 73.22/46.39 tff(19329,plain,
% 73.22/46.39 ((~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19328, 1005, 19224])).
% 73.22/46.39 tff(19330,plain,
% 73.22/46.39 (v129(constB118, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19329, 19325])).
% 73.22/46.39 tff(19331,plain,
% 73.22/46.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19332,plain,
% 73.22/46.39 ((v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19333,plain,
% 73.22/46.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19332])).
% 73.22/46.39 tff(19334,plain,
% 73.22/46.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19333, 19331])).
% 73.22/46.39 tff(19335,plain,
% 73.22/46.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19336,plain,
% 73.22/46.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 73.22/46.39 tff(19337,plain,
% 73.22/46.39 (v90(constB118, bitIndex1) | (~v100(constB118))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19336, 1020, 19330])).
% 73.22/46.39 tff(19338,plain,
% 73.22/46.39 (v90(constB118, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19337, 19264])).
% 73.22/46.39 tff(19339,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19340,plain,
% 73.22/46.39 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19341,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19340])).
% 73.22/46.39 tff(19342,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19341, 19339])).
% 73.22/46.39 tff(19343,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19344,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 73.22/46.39 tff(19345,plain,
% 73.22/46.39 ((~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19344, 1038, 19295])).
% 73.22/46.39 tff(19346,plain,
% 73.22/46.39 ((~v90(constB118, bitIndex1)) | v90(constB119, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19345, 19307])).
% 73.22/46.39 tff(19347,plain,
% 73.22/46.39 (v90(constB119, bitIndex1)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19346, 19338])).
% 73.22/46.39 tff(19348,plain,
% 73.22/46.39 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19349,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19350,plain,
% 73.22/46.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 73.22/46.39 tff(19351,plain,
% 73.22/46.39 (~v130(constB117, bitIndex0)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19350, 1690, 19181])).
% 73.22/46.39 tff(19352,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19353,plain,
% 73.22/46.39 ((v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0))) <=> ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19354,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19353])).
% 73.22/46.39 tff(19355,plain,
% 73.22/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19354, 19352])).
% 73.22/46.39 tff(19356,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19357,plain,
% 73.22/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 73.22/46.39 tff(19358,plain,
% 73.22/46.39 ((~v127(constB117, bitIndex0)) | v130(constB117, bitIndex0)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19357, 769, 19209])).
% 73.22/46.39 tff(19359,plain,
% 73.22/46.39 (~v127(constB117, bitIndex0)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19358, 19351])).
% 73.22/46.39 tff(19360,plain,
% 73.22/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19361,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.39 tff(19362,plain,
% 73.22/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 73.22/46.39 inference(modus_ponens,[status(thm)],[19361, 19360])).
% 73.22/46.39 tff(19363,plain,
% 73.22/46.39 (v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19362, 787, 19224])).
% 73.22/46.39 tff(19364,plain,
% 73.22/46.39 (~v129(constB118, bitIndex0)),
% 73.22/46.39 inference(unit_resolution,[status(thm)],[19363, 19359])).
% 73.22/46.39 tff(19365,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19366,plain,
% 73.22/46.39 (((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 73.22/46.39 inference(rewrite,[status(thm)],[])).
% 73.22/46.39 tff(19367,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))))),
% 73.22/46.39 inference(monotonicity,[status(thm)],[19366])).
% 73.22/46.39 tff(19368,plain,
% 73.22/46.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 73.22/46.39 inference(transitivity,[status(thm)],[19367, 19365])).
% 73.22/46.39 tff(19369,plain,
% 73.22/46.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))),
% 73.22/46.39 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19370,plain,
% 73.22/46.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 73.22/46.40 tff(19371,plain,
% 73.22/46.40 ((~v90(constB118, bitIndex0)) | (~v100(constB118))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19370, 802, 19364])).
% 73.22/46.40 tff(19372,plain,
% 73.22/46.40 (~v90(constB118, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19371, 19264])).
% 73.22/46.40 tff(19373,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19374,plain,
% 73.22/46.40 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19375,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19374])).
% 73.22/46.40 tff(19376,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19375, 19373])).
% 73.22/46.40 tff(19377,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19378,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 73.22/46.40 tff(19379,plain,
% 73.22/46.40 (v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19378, 362, 19295])).
% 73.22/46.40 tff(19380,plain,
% 73.22/46.40 (v90(constB118, bitIndex0) | (~v90(constB119, bitIndex0))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19379, 19307])).
% 73.22/46.40 tff(19381,plain,
% 73.22/46.40 (~v90(constB119, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19380, 19372])).
% 73.22/46.40 tff(19382,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19383,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19384,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19383, 19382])).
% 73.22/46.40 tff(19385,plain,
% 73.22/46.40 (v121(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19384, 1734, 19381, 19347, 19316])).
% 73.22/46.40 tff(19386,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB119) | (~v121(constB119)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB119) | (~v121(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19387,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB119) | (~v121(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19388,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB119) | (~v121(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 73.22/46.40 tff(19389,plain,
% 73.22/46.40 (v117(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19388, 1775, 19385])).
% 73.22/46.40 tff(19390,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19391,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19392,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19391, 19390])).
% 73.22/46.40 tff(19393,plain,
% 73.22/46.40 (v116(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19392, 416, 19389])).
% 73.22/46.40 tff(19394,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19395,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19396,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19395, 19394])).
% 73.22/46.40 tff(19397,plain,
% 73.22/46.40 (v115(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19396, 427, 19393])).
% 73.22/46.40 tff(19398,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19399,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19400,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19399, 19398])).
% 73.22/46.40 tff(19401,plain,
% 73.22/46.40 (v114(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19400, 438, 19397])).
% 73.22/46.40 tff(19402,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19403,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19404,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19403, 19402])).
% 73.22/46.40 tff(19405,plain,
% 73.22/46.40 (v113(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19404, 449, 19401])).
% 73.22/46.40 tff(19406,assumption,(v26(constB119)), introduced(assumption)).
% 73.22/46.40 tff(19407,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19408,plain,
% 73.22/46.40 ($false),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19407, 26, 19406])).
% 73.22/46.40 tff(19409,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.40 tff(19410,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19411,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19412,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19411, 19410])).
% 73.22/46.40 tff(19413,plain,
% 73.22/46.40 ((~v113(constB119)) | v112(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19412, 463, 19409])).
% 73.22/46.40 tff(19414,plain,
% 73.22/46.40 (v112(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19413, 19405])).
% 73.22/46.40 tff(19415,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19416,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19417,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 73.22/46.40 tff(19418,plain,
% 73.22/46.40 (v108(constB119)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19417, 475, 19414])).
% 73.22/46.40 tff(19419,plain,
% 73.22/46.40 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19420,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 73.22/46.40 tff(19421,plain,
% 73.22/46.40 (nextState(constB119, constB120)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19420, 19419])).
% 73.22/46.40 tff(19422,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19423,plain,
% 73.22/46.40 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19424,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19423])).
% 73.22/46.40 tff(19425,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19424, 19422])).
% 73.22/46.40 tff(19426,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19427,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19426, 19425])).
% 73.22/46.40 tff(19428,plain,
% 73.22/46.40 (v110(constB120) | (~v108(constB119))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19427, 492, 19421])).
% 73.22/46.40 tff(19429,plain,
% 73.22/46.40 (v110(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19428, 19418])).
% 73.22/46.40 tff(19430,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19431,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19432,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19431, 19430])).
% 73.22/46.40 tff(19433,plain,
% 73.22/46.40 (~v104(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19432, 510, 19421, 19292])).
% 73.22/46.40 tff(19434,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19435,plain,
% 73.22/46.40 (((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19436,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19435])).
% 73.22/46.40 tff(19437,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19436, 19434])).
% 73.22/46.40 tff(19438,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19439,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 73.22/46.40 tff(19440,plain,
% 73.22/46.40 (v104(constB120) | v102(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19439, 524, 19421])).
% 73.22/46.40 tff(19441,plain,
% 73.22/46.40 (v102(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19440, 19433])).
% 73.22/46.40 tff(19442,plain,
% 73.22/46.40 (v1(constB120) <=> v1(constB120)),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19443,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 73.22/46.40 tff(19444,plain,
% 73.22/46.40 (v1(constB120)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19443, 19442])).
% 73.22/46.40 tff(19445,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19446,plain,
% 73.22/46.40 (((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))) <=> ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19447,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19446])).
% 73.22/46.40 tff(19448,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19447, 19445])).
% 73.22/46.40 tff(19449,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19450,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19449, 19448])).
% 73.22/46.40 tff(19451,plain,
% 73.22/46.40 (v101(constB120) | (~v102(constB120))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19450, 545, 19421, 19444])).
% 73.22/46.40 tff(19452,plain,
% 73.22/46.40 (v101(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19451, 19441])).
% 73.22/46.40 tff(19453,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19454,plain,
% 73.22/46.40 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19455,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19454])).
% 73.22/46.40 tff(19456,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19455, 19453])).
% 73.22/46.40 tff(19457,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19458,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19457, 19456])).
% 73.22/46.40 tff(19459,plain,
% 73.22/46.40 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19458, 563, 19421])).
% 73.22/46.40 tff(19460,plain,
% 73.22/46.40 (v100(constB120) | (~v110(constB120))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19459, 19452])).
% 73.22/46.40 tff(19461,plain,
% 73.22/46.40 (v100(constB120)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19460, 19429])).
% 73.22/46.40 tff(19462,plain,
% 73.22/46.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19463,plain,
% 73.22/46.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19464,plain,
% 73.22/46.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 73.22/46.40 tff(19465,plain,
% 73.22/46.40 (v130(constB119, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19464, 1945, 19385])).
% 73.22/46.40 tff(19466,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19467,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19468,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 73.22/46.40 tff(19469,plain,
% 73.22/46.40 ((~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19468, 1413, 19409])).
% 73.22/46.40 tff(19470,plain,
% 73.22/46.40 (v127(constB119, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19469, 19465])).
% 73.22/46.40 tff(19471,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19472,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19473,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19472, 19471])).
% 73.22/46.40 tff(19474,plain,
% 73.22/46.40 ((~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19473, 1428, 19421])).
% 73.22/46.40 tff(19475,plain,
% 73.22/46.40 (v129(constB120, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19474, 19470])).
% 73.22/46.40 tff(19476,plain,
% 73.22/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19477,plain,
% 73.22/46.40 ((v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19478,plain,
% 73.22/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19477])).
% 73.22/46.40 tff(19479,plain,
% 73.22/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19478, 19476])).
% 73.22/46.40 tff(19480,plain,
% 73.22/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19481,plain,
% 73.22/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 73.22/46.40 tff(19482,plain,
% 73.22/46.40 (v90(constB120, bitIndex0) | (~v100(constB120))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19481, 1443, 19475])).
% 73.22/46.40 tff(19483,plain,
% 73.22/46.40 (v90(constB120, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19482, 19461])).
% 73.22/46.40 tff(19484,plain,
% 73.22/46.40 ((~v1(constB121)) <=> (~v1(constB121))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19485,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 73.22/46.40 tff(19486,plain,
% 73.22/46.40 (~v1(constB121)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19485, 19484])).
% 73.22/46.40 tff(19487,plain,
% 73.22/46.40 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19488,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 73.22/46.40 tff(19489,plain,
% 73.22/46.40 (nextState(constB120, constB121)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 73.22/46.40 tff(19490,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19491,plain,
% 73.22/46.40 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19492,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19491])).
% 73.22/46.40 tff(19493,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19492, 19490])).
% 73.22/46.40 tff(19494,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19495,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19494, 19493])).
% 73.22/46.40 tff(19496,plain,
% 73.22/46.40 (~v101(constB121)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19495, 288, 19489, 19486])).
% 73.22/46.40 tff(19497,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19498,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19499,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 73.22/46.40 tff(19500,plain,
% 73.22/46.40 (v101(constB121) | (~v100(constB121))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19499, 305, 19489])).
% 73.22/46.40 tff(19501,plain,
% 73.22/46.40 (~v100(constB121)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19500, 19496])).
% 73.22/46.40 tff(19502,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19503,plain,
% 73.22/46.40 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19504,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19503])).
% 73.22/46.40 tff(19505,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19504, 19502])).
% 73.22/46.40 tff(19506,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19507,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19506, 19505])).
% 73.22/46.40 tff(19508,plain,
% 73.22/46.40 ((~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19507, 1461, 19489])).
% 73.22/46.40 tff(19509,plain,
% 73.22/46.40 ((~v90(constB120, bitIndex0)) | v90(constB121, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19508, 19501])).
% 73.22/46.40 tff(19510,plain,
% 73.22/46.40 (v90(constB121, bitIndex0)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19509, 19483])).
% 73.22/46.40 tff(19511,plain,
% 73.22/46.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19512,plain,
% 73.22/46.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19513,plain,
% 73.22/46.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 73.22/46.40 tff(19514,plain,
% 73.22/46.40 (~v130(constB119, bitIndex2)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19513, 1748, 19385])).
% 73.22/46.40 tff(19515,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19516,plain,
% 73.22/46.40 ((v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2))) <=> ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19517,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19516])).
% 73.22/46.40 tff(19518,plain,
% 73.22/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19517, 19515])).
% 73.22/46.40 tff(19519,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19520,plain,
% 73.22/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19519, 19518])).
% 73.22/46.40 tff(19521,plain,
% 73.22/46.40 ((~v127(constB119, bitIndex2)) | v130(constB119, bitIndex2)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19520, 1271, 19409])).
% 73.22/46.40 tff(19522,plain,
% 73.22/46.40 (~v127(constB119, bitIndex2)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19521, 19514])).
% 73.22/46.40 tff(19523,plain,
% 73.22/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19524,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 73.22/46.40 inference(quant_inst,[status(thm)],[])).
% 73.22/46.40 tff(19525,plain,
% 73.22/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 73.22/46.40 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 73.22/46.40 tff(19526,plain,
% 73.22/46.40 (v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19525, 1289, 19421])).
% 73.22/46.40 tff(19527,plain,
% 73.22/46.40 (~v129(constB120, bitIndex2)),
% 73.22/46.40 inference(unit_resolution,[status(thm)],[19526, 19522])).
% 73.22/46.40 tff(19528,plain,
% 73.22/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19529,plain,
% 73.22/46.40 (((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 73.22/46.40 inference(rewrite,[status(thm)],[])).
% 73.22/46.40 tff(19530,plain,
% 73.22/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120))))),
% 73.22/46.40 inference(monotonicity,[status(thm)],[19529])).
% 73.22/46.40 tff(19531,plain,
% 73.22/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 73.22/46.40 inference(transitivity,[status(thm)],[19530, 19528])).
% 73.22/46.40 tff(19532,plain,
% 73.22/46.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19533,plain,
% 73.22/46.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 73.22/46.41 tff(19534,plain,
% 73.22/46.41 ((~v90(constB120, bitIndex2)) | (~v100(constB120))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19533, 1304, 19527])).
% 73.22/46.41 tff(19535,plain,
% 73.22/46.41 (~v90(constB120, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19534, 19461])).
% 73.22/46.41 tff(19536,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19537,plain,
% 73.22/46.41 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19538,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))))),
% 73.22/46.41 inference(monotonicity,[status(thm)],[19537])).
% 73.22/46.41 tff(19539,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 73.22/46.41 inference(transitivity,[status(thm)],[19538, 19536])).
% 73.22/46.41 tff(19540,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19541,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 73.22/46.41 tff(19542,plain,
% 73.22/46.41 (v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19541, 320, 19489])).
% 73.22/46.41 tff(19543,plain,
% 73.22/46.41 (v90(constB120, bitIndex2) | (~v90(constB121, bitIndex2))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19542, 19501])).
% 73.22/46.41 tff(19544,plain,
% 73.22/46.41 (~v90(constB121, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19543, 19535])).
% 73.22/46.41 tff(19545,assumption,(v120(constB117)), introduced(assumption)).
% 73.22/46.41 tff(19546,plain,
% 73.22/46.41 (v118(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19184, 1494, 19545])).
% 73.22/46.41 tff(19547,plain,
% 73.22/46.41 (v117(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19188, 405, 19546])).
% 73.22/46.41 tff(19548,plain,
% 73.22/46.41 (v116(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19192, 416, 19547])).
% 73.22/46.41 tff(19549,plain,
% 73.22/46.41 (v115(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19196, 427, 19548])).
% 73.22/46.41 tff(19550,plain,
% 73.22/46.41 (v114(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19200, 438, 19549])).
% 73.22/46.41 tff(19551,plain,
% 73.22/46.41 (v113(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19204, 449, 19550])).
% 73.22/46.41 tff(19552,plain,
% 73.22/46.41 (v112(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19216, 19551])).
% 73.22/46.41 tff(19553,plain,
% 73.22/46.41 (v108(constB117)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19220, 475, 19552])).
% 73.22/46.41 tff(19554,plain,
% 73.22/46.41 (v110(constB118)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19231, 19553])).
% 73.22/46.41 tff(19555,plain,
% 73.22/46.41 (v100(constB118)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19263, 19554])).
% 73.22/46.41 tff(19556,plain,
% 73.22/46.41 (~v130(constB117, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19267, 1587, 19545])).
% 73.22/46.41 tff(19557,plain,
% 73.22/46.41 (~v127(constB117, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19275, 19556])).
% 73.22/46.41 tff(19558,plain,
% 73.22/46.41 (~v129(constB118, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19280, 19557])).
% 73.22/46.41 tff(19559,plain,
% 73.22/46.41 ((~v90(constB118, bitIndex2)) | (~v100(constB118))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19287, 1304, 19558])).
% 73.22/46.41 tff(19560,plain,
% 73.22/46.41 (~v90(constB118, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19559, 19555])).
% 73.22/46.41 tff(19561,plain,
% 73.22/46.41 (~v90(constB119, bitIndex2)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19315, 19560])).
% 73.22/46.41 tff(19562,plain,
% 73.22/46.41 (v130(constB117, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19319, 1649, 19545])).
% 73.22/46.41 tff(19563,plain,
% 73.22/46.41 (v127(constB117, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19324, 19562])).
% 73.22/46.41 tff(19564,plain,
% 73.22/46.41 (v129(constB118, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19329, 19563])).
% 73.22/46.41 tff(19565,plain,
% 73.22/46.41 (v90(constB118, bitIndex1) | (~v100(constB118))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19336, 1020, 19564])).
% 73.22/46.41 tff(19566,plain,
% 73.22/46.41 (v90(constB118, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19565, 19555])).
% 73.22/46.41 tff(19567,plain,
% 73.22/46.41 (v90(constB119, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19346, 19566])).
% 73.22/46.41 tff(19568,plain,
% 73.22/46.41 (~v130(constB117, bitIndex0)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19350, 1690, 19545])).
% 73.22/46.41 tff(19569,plain,
% 73.22/46.41 (~v127(constB117, bitIndex0)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19358, 19568])).
% 73.22/46.41 tff(19570,plain,
% 73.22/46.41 (~v129(constB118, bitIndex0)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19363, 19569])).
% 73.22/46.41 tff(19571,plain,
% 73.22/46.41 ((~v90(constB118, bitIndex0)) | (~v100(constB118))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19370, 802, 19570])).
% 73.22/46.41 tff(19572,plain,
% 73.22/46.41 (~v90(constB118, bitIndex0)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19571, 19555])).
% 73.22/46.41 tff(19573,plain,
% 73.22/46.41 (~v90(constB119, bitIndex0)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19380, 19572])).
% 73.22/46.41 tff(19574,plain,
% 73.22/46.41 (v121(constB119)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19384, 1734, 19573, 19567, 19561])).
% 73.22/46.41 tff(19575,assumption,(~v90(constB120, bitIndex1)), introduced(assumption)).
% 73.22/46.41 tff(19576,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19577,plain,
% 73.22/46.41 (((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1)) <=> ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19578,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1)))),
% 73.22/46.41 inference(monotonicity,[status(thm)],[19577])).
% 73.22/46.41 tff(19579,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 73.22/46.41 inference(transitivity,[status(thm)],[19578, 19576])).
% 73.22/46.41 tff(19580,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19581,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19580, 19579])).
% 73.22/46.41 tff(19582,plain,
% 73.22/46.41 ((~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19581, 1038, 19421])).
% 73.22/46.41 tff(19583,plain,
% 73.22/46.41 (v100(constB120)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19582, 19567, 19575])).
% 73.22/46.41 tff(19584,plain,
% 73.22/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19585,plain,
% 73.22/46.41 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19586,plain,
% 73.22/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 73.22/46.41 inference(monotonicity,[status(thm)],[19585])).
% 73.22/46.41 tff(19587,plain,
% 73.22/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.22/46.41 inference(transitivity,[status(thm)],[19586, 19584])).
% 73.22/46.41 tff(19588,plain,
% 73.22/46.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19589,plain,
% 73.22/46.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 73.22/46.41 tff(19590,plain,
% 73.22/46.41 ((~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19589, 1020, 19575])).
% 73.22/46.41 tff(19591,plain,
% 73.22/46.41 (~v129(constB120, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19590, 19583])).
% 73.22/46.41 tff(19592,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19593,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19594,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19593, 19592])).
% 73.22/46.41 tff(19595,plain,
% 73.22/46.41 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19594, 1005, 19421])).
% 73.22/46.41 tff(19596,plain,
% 73.22/46.41 (~v127(constB119, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19595, 19591])).
% 73.22/46.41 tff(19597,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19598,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19599,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19598, 19597])).
% 73.22/46.41 tff(19600,plain,
% 73.22/46.41 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19599, 990, 19409])).
% 73.22/46.41 tff(19601,plain,
% 73.22/46.41 (~v130(constB119, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19600, 19596])).
% 73.22/46.41 tff(19602,plain,
% 73.22/46.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19603,plain,
% 73.22/46.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19604,plain,
% 73.22/46.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 73.22/46.41 tff(19605,plain,
% 73.22/46.41 ($false),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19604, 1904, 19601, 19574])).
% 73.22/46.41 tff(19606,plain,((~v120(constB117)) | v90(constB120, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.41 tff(19607,plain,
% 73.22/46.41 (v90(constB120, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19606, 19181])).
% 73.22/46.41 tff(19608,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19609,plain,
% 73.22/46.41 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19610,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 73.22/46.41 inference(monotonicity,[status(thm)],[19609])).
% 73.22/46.41 tff(19611,plain,
% 73.22/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.22/46.41 inference(transitivity,[status(thm)],[19610, 19608])).
% 73.22/46.41 tff(19612,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19613,plain,
% 73.22/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 73.22/46.41 tff(19614,plain,
% 73.22/46.41 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19613, 1038, 19489])).
% 73.22/46.41 tff(19615,plain,
% 73.22/46.41 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19614, 19501])).
% 73.22/46.41 tff(19616,plain,
% 73.22/46.41 (v90(constB121, bitIndex1)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19615, 19607])).
% 73.22/46.41 tff(19617,plain,
% 73.22/46.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19618,plain,
% 73.22/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19619,plain,
% 73.22/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121)),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19618, 19617])).
% 73.22/46.41 tff(19620,plain,
% 73.22/46.41 ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex2) | v122(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19619, 1986, 19616])).
% 73.22/46.41 tff(19621,plain,
% 73.22/46.41 (v122(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19620, 19544, 19510])).
% 73.22/46.41 tff(19622,assumption,(~v123(constB123)), introduced(assumption)).
% 73.22/46.41 tff(19623,assumption,(v122(constB121)), introduced(assumption)).
% 73.22/46.41 tff(19624,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB121) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB121) | (~v122(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19625,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB121) | (~v122(constB121)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19626,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB121) | (~v122(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 73.22/46.41 tff(19627,plain,
% 73.22/46.41 (v116(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19626, 1997, 19623])).
% 73.22/46.41 tff(19628,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19629,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19630,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19629, 19628])).
% 73.22/46.41 tff(19631,plain,
% 73.22/46.41 (v115(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19630, 427, 19627])).
% 73.22/46.41 tff(19632,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19633,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19634,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19633, 19632])).
% 73.22/46.41 tff(19635,plain,
% 73.22/46.41 (v114(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19634, 438, 19631])).
% 73.22/46.41 tff(19636,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19637,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19638,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 73.22/46.41 tff(19639,plain,
% 73.22/46.41 (v113(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19638, 449, 19635])).
% 73.22/46.41 tff(19640,assumption,(v26(constB121)), introduced(assumption)).
% 73.22/46.41 tff(19641,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19642,plain,
% 73.22/46.41 ($false),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19641, 26, 19640])).
% 73.22/46.41 tff(19643,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.41 tff(19644,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19645,plain,
% 73.22/46.41 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19646,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 73.22/46.41 inference(monotonicity,[status(thm)],[19645])).
% 73.22/46.41 tff(19647,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.22/46.41 inference(transitivity,[status(thm)],[19646, 19644])).
% 73.22/46.41 tff(19648,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19649,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 73.22/46.41 tff(19650,plain,
% 73.22/46.41 (v112(constB121) | (~v113(constB121))),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19649, 463, 19643])).
% 73.22/46.41 tff(19651,plain,
% 73.22/46.41 (v112(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19650, 19639])).
% 73.22/46.41 tff(19652,plain,
% 73.22/46.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 73.22/46.41 inference(rewrite,[status(thm)],[])).
% 73.22/46.41 tff(19653,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 73.22/46.41 inference(quant_inst,[status(thm)],[])).
% 73.22/46.41 tff(19654,plain,
% 73.22/46.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 73.22/46.41 inference(modus_ponens,[status(thm)],[19653, 19652])).
% 73.22/46.41 tff(19655,plain,
% 73.22/46.41 (v108(constB121)),
% 73.22/46.41 inference(unit_resolution,[status(thm)],[19654, 475, 19651])).
% 73.26/46.41 tff(19656,plain,
% 73.26/46.41 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19657,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 73.26/46.41 tff(19658,plain,
% 73.26/46.41 (nextState(constB121, constB122)),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 73.26/46.41 tff(19659,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19660,plain,
% 73.26/46.41 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19661,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 73.26/46.41 inference(monotonicity,[status(thm)],[19660])).
% 73.26/46.41 tff(19662,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.26/46.41 inference(transitivity,[status(thm)],[19661, 19659])).
% 73.26/46.41 tff(19663,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 73.26/46.41 inference(quant_inst,[status(thm)],[])).
% 73.26/46.41 tff(19664,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19663, 19662])).
% 73.26/46.41 tff(19665,plain,
% 73.26/46.41 (v110(constB122) | (~v108(constB121))),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19664, 492, 19658])).
% 73.26/46.41 tff(19666,plain,
% 73.26/46.41 (v110(constB122)),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19665, 19655])).
% 73.26/46.41 tff(19667,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19668,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 73.26/46.41 inference(quant_inst,[status(thm)],[])).
% 73.26/46.41 tff(19669,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19668, 19667])).
% 73.26/46.41 tff(19670,plain,
% 73.26/46.41 (~v104(constB122)),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19669, 510, 19658, 19486])).
% 73.26/46.41 tff(19671,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19672,plain,
% 73.26/46.41 (((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19673,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)))),
% 73.26/46.41 inference(monotonicity,[status(thm)],[19672])).
% 73.26/46.41 tff(19674,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 73.26/46.41 inference(transitivity,[status(thm)],[19673, 19671])).
% 73.26/46.41 tff(19675,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 73.26/46.41 inference(quant_inst,[status(thm)],[])).
% 73.26/46.41 tff(19676,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 73.26/46.41 tff(19677,plain,
% 73.26/46.41 (v104(constB122) | v102(constB122)),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19676, 524, 19658])).
% 73.26/46.41 tff(19678,plain,
% 73.26/46.41 (v102(constB122)),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19677, 19670])).
% 73.26/46.41 tff(19679,plain,
% 73.26/46.41 (v1(constB122) <=> v1(constB122)),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19680,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 73.26/46.41 tff(19681,plain,
% 73.26/46.41 (v1(constB122)),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 73.26/46.41 tff(19682,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19683,plain,
% 73.26/46.41 (((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))) <=> ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19684,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))))),
% 73.26/46.41 inference(monotonicity,[status(thm)],[19683])).
% 73.26/46.41 tff(19685,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 73.26/46.41 inference(transitivity,[status(thm)],[19684, 19682])).
% 73.26/46.41 tff(19686,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 73.26/46.41 inference(quant_inst,[status(thm)],[])).
% 73.26/46.41 tff(19687,plain,
% 73.26/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))),
% 73.26/46.41 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 73.26/46.41 tff(19688,plain,
% 73.26/46.41 (v101(constB122) | (~v102(constB122))),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19687, 545, 19658, 19681])).
% 73.26/46.41 tff(19689,plain,
% 73.26/46.41 (v101(constB122)),
% 73.26/46.41 inference(unit_resolution,[status(thm)],[19688, 19678])).
% 73.26/46.41 tff(19690,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19691,plain,
% 73.26/46.41 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.26/46.41 inference(rewrite,[status(thm)],[])).
% 73.26/46.41 tff(19692,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 73.26/46.41 inference(monotonicity,[status(thm)],[19691])).
% 73.26/46.41 tff(19693,plain,
% 73.26/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19692, 19690])).
% 73.26/46.42 tff(19694,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19695,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19694, 19693])).
% 73.26/46.42 tff(19696,plain,
% 73.26/46.42 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19695, 563, 19658])).
% 73.26/46.42 tff(19697,plain,
% 73.26/46.42 (v100(constB122) | (~v110(constB122))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19696, 19689])).
% 73.26/46.42 tff(19698,plain,
% 73.26/46.42 (v100(constB122)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19697, 19666])).
% 73.26/46.42 tff(19699,plain,
% 73.26/46.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19700,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19701,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 73.26/46.42 tff(19702,plain,
% 73.26/46.42 (v130(constB121, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19701, 2079, 19623])).
% 73.26/46.42 tff(19703,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19704,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19705,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 73.26/46.42 tff(19706,plain,
% 73.26/46.42 ((~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19705, 596, 19643])).
% 73.26/46.42 tff(19707,plain,
% 73.26/46.42 (v127(constB121, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19706, 19702])).
% 73.26/46.42 tff(19708,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19709,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19710,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 73.26/46.42 tff(19711,plain,
% 73.26/46.42 ((~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19710, 611, 19658])).
% 73.26/46.42 tff(19712,plain,
% 73.26/46.42 (v129(constB122, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19711, 19707])).
% 73.26/46.42 tff(19713,plain,
% 73.26/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19714,plain,
% 73.26/46.42 ((v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19715,plain,
% 73.26/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19714])).
% 73.26/46.42 tff(19716,plain,
% 73.26/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19715, 19713])).
% 73.26/46.42 tff(19717,plain,
% 73.26/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19718,plain,
% 73.26/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 73.26/46.42 tff(19719,plain,
% 73.26/46.42 (v90(constB122, bitIndex2) | (~v100(constB122))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19718, 626, 19712])).
% 73.26/46.42 tff(19720,plain,
% 73.26/46.42 (v90(constB122, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19719, 19698])).
% 73.26/46.42 tff(19721,plain,
% 73.26/46.42 ((~v1(constB123)) <=> (~v1(constB123))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19722,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 73.26/46.42 tff(19723,plain,
% 73.26/46.42 (~v1(constB123)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19722, 19721])).
% 73.26/46.42 tff(19724,plain,
% 73.26/46.42 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19725,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 73.26/46.42 tff(19726,plain,
% 73.26/46.42 (nextState(constB122, constB123)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 73.26/46.42 tff(19727,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19728,plain,
% 73.26/46.42 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19729,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19728])).
% 73.26/46.42 tff(19730,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19729, 19727])).
% 73.26/46.42 tff(19731,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19732,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 73.26/46.42 tff(19733,plain,
% 73.26/46.42 (~v101(constB123)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19732, 288, 19726, 19723])).
% 73.26/46.42 tff(19734,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19735,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19736,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19735, 19734])).
% 73.26/46.42 tff(19737,plain,
% 73.26/46.42 (v101(constB123) | (~v100(constB123))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19736, 305, 19726])).
% 73.26/46.42 tff(19738,plain,
% 73.26/46.42 (~v100(constB123)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19737, 19733])).
% 73.26/46.42 tff(19739,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19740,plain,
% 73.26/46.42 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19741,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19740])).
% 73.26/46.42 tff(19742,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19741, 19739])).
% 73.26/46.42 tff(19743,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19744,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19743, 19742])).
% 73.26/46.42 tff(19745,plain,
% 73.26/46.42 ((~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19744, 662, 19726])).
% 73.26/46.42 tff(19746,plain,
% 73.26/46.42 ((~v90(constB122, bitIndex2)) | v90(constB123, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19745, 19738])).
% 73.26/46.42 tff(19747,plain,
% 73.26/46.42 (v90(constB123, bitIndex2)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19746, 19720])).
% 73.26/46.42 tff(19748,plain,
% 73.26/46.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19749,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19750,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 73.26/46.42 tff(19751,plain,
% 73.26/46.42 (~v130(constB121, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19750, 2138, 19623])).
% 73.26/46.42 tff(19752,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19753,plain,
% 73.26/46.42 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19754,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19753])).
% 73.26/46.42 tff(19755,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19754, 19752])).
% 73.26/46.42 tff(19756,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19757,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19756, 19755])).
% 73.26/46.42 tff(19758,plain,
% 73.26/46.42 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19757, 695, 19643])).
% 73.26/46.42 tff(19759,plain,
% 73.26/46.42 (~v127(constB121, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19758, 19751])).
% 73.26/46.42 tff(19760,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19761,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19762,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 73.26/46.42 tff(19763,plain,
% 73.26/46.42 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19762, 713, 19658])).
% 73.26/46.42 tff(19764,plain,
% 73.26/46.42 (~v129(constB122, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19763, 19759])).
% 73.26/46.42 tff(19765,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19766,plain,
% 73.26/46.42 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19767,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19766])).
% 73.26/46.42 tff(19768,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19767, 19765])).
% 73.26/46.42 tff(19769,plain,
% 73.26/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19770,plain,
% 73.26/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19769, 19768])).
% 73.26/46.42 tff(19771,plain,
% 73.26/46.42 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19770, 728, 19764])).
% 73.26/46.42 tff(19772,plain,
% 73.26/46.42 (~v90(constB122, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19771, 19698])).
% 73.26/46.42 tff(19773,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19774,plain,
% 73.26/46.42 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19775,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19774])).
% 73.26/46.42 tff(19776,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19775, 19773])).
% 73.26/46.42 tff(19777,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19778,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19777, 19776])).
% 73.26/46.42 tff(19779,plain,
% 73.26/46.42 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19778, 341, 19726])).
% 73.26/46.42 tff(19780,plain,
% 73.26/46.42 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19779, 19738])).
% 73.26/46.42 tff(19781,plain,
% 73.26/46.42 (~v90(constB123, bitIndex1)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19780, 19772])).
% 73.26/46.42 tff(19782,plain,
% 73.26/46.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19783,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19784,plain,
% 73.26/46.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 73.26/46.42 tff(19785,plain,
% 73.26/46.42 (~v130(constB121, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19784, 2182, 19623])).
% 73.26/46.42 tff(19786,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19787,plain,
% 73.26/46.42 ((v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0))) <=> ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19788,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19787])).
% 73.26/46.42 tff(19789,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19788, 19786])).
% 73.26/46.42 tff(19790,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19791,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19790, 19789])).
% 73.26/46.42 tff(19792,plain,
% 73.26/46.42 ((~v127(constB121, bitIndex0)) | v130(constB121, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19791, 769, 19643])).
% 73.26/46.42 tff(19793,plain,
% 73.26/46.42 (~v127(constB121, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19792, 19785])).
% 73.26/46.42 tff(19794,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19795,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19796,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 73.26/46.42 tff(19797,plain,
% 73.26/46.42 (v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19796, 787, 19658])).
% 73.26/46.42 tff(19798,plain,
% 73.26/46.42 (~v129(constB122, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19797, 19793])).
% 73.26/46.42 tff(19799,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19800,plain,
% 73.26/46.42 (((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19801,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19800])).
% 73.26/46.42 tff(19802,plain,
% 73.26/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19801, 19799])).
% 73.26/46.42 tff(19803,plain,
% 73.26/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19804,plain,
% 73.26/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 73.26/46.42 tff(19805,plain,
% 73.26/46.42 ((~v90(constB122, bitIndex0)) | (~v100(constB122))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19804, 802, 19798])).
% 73.26/46.42 tff(19806,plain,
% 73.26/46.42 (~v90(constB122, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19805, 19698])).
% 73.26/46.42 tff(19807,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19808,plain,
% 73.26/46.42 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19809,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))))),
% 73.26/46.42 inference(monotonicity,[status(thm)],[19808])).
% 73.26/46.42 tff(19810,plain,
% 73.26/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 73.26/46.42 inference(transitivity,[status(thm)],[19809, 19807])).
% 73.26/46.42 tff(19811,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 73.26/46.42 inference(quant_inst,[status(thm)],[])).
% 73.26/46.42 tff(19812,plain,
% 73.26/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 73.26/46.42 inference(modus_ponens,[status(thm)],[19811, 19810])).
% 73.26/46.42 tff(19813,plain,
% 73.26/46.42 (v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19812, 362, 19726])).
% 73.26/46.42 tff(19814,plain,
% 73.26/46.42 (v90(constB122, bitIndex0) | (~v90(constB123, bitIndex0))),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19813, 19738])).
% 73.26/46.42 tff(19815,plain,
% 73.26/46.42 (~v90(constB123, bitIndex0)),
% 73.26/46.42 inference(unit_resolution,[status(thm)],[19814, 19806])).
% 73.26/46.42 tff(19816,plain,
% 73.26/46.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 73.26/46.42 inference(rewrite,[status(thm)],[])).
% 73.26/46.42 tff(19817,plain,
% 73.26/46.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19818,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 73.26/46.43 tff(19819,plain,
% 73.26/46.43 ($false),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19818, 829, 19815, 19781, 19747, 19622])).
% 73.26/46.43 tff(19820,plain,((~v122(constB121)) | v123(constB123)), inference(lemma,lemma(discharge,[]))).
% 73.26/46.43 tff(19821,plain,
% 73.26/46.43 (v123(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19820, 19621])).
% 73.26/46.43 tff(19822,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB123) | (~v123(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB123) | (~v123(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19823,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB123) | (~v123(constB123)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19824,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB123) | (~v123(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19823, 19822])).
% 73.26/46.43 tff(19825,plain,
% 73.26/46.43 (v115(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19824, 840, 19821])).
% 73.26/46.43 tff(19826,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19827,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19828,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19827, 19826])).
% 73.26/46.43 tff(19829,plain,
% 73.26/46.43 (v114(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19828, 438, 19825])).
% 73.26/46.43 tff(19830,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19831,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19832,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19831, 19830])).
% 73.26/46.43 tff(19833,plain,
% 73.26/46.43 (v113(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19832, 449, 19829])).
% 73.26/46.43 tff(19834,assumption,(v26(constB123)), introduced(assumption)).
% 73.26/46.43 tff(19835,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19836,plain,
% 73.26/46.43 ($false),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19835, 26, 19834])).
% 73.26/46.43 tff(19837,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 73.26/46.43 tff(19838,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19839,plain,
% 73.26/46.43 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19840,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19839])).
% 73.26/46.43 tff(19841,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19840, 19838])).
% 73.26/46.43 tff(19842,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19843,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19842, 19841])).
% 73.26/46.43 tff(19844,plain,
% 73.26/46.43 (v112(constB123) | (~v113(constB123))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19843, 463, 19837])).
% 73.26/46.43 tff(19845,plain,
% 73.26/46.43 (v112(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19844, 19833])).
% 73.26/46.43 tff(19846,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19847,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19848,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 73.26/46.43 tff(19849,plain,
% 73.26/46.43 (v108(constB123)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19848, 475, 19845])).
% 73.26/46.43 tff(19850,plain,
% 73.26/46.43 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19851,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 73.26/46.43 tff(19852,plain,
% 73.26/46.43 (nextState(constB123, constB124)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19851, 19850])).
% 73.26/46.43 tff(19853,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19854,plain,
% 73.26/46.43 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19855,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19854])).
% 73.26/46.43 tff(19856,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19855, 19853])).
% 73.26/46.43 tff(19857,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19858,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 73.26/46.43 tff(19859,plain,
% 73.26/46.43 (v110(constB124) | (~v108(constB123))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19858, 492, 19852])).
% 73.26/46.43 tff(19860,plain,
% 73.26/46.43 (v110(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19859, 19849])).
% 73.26/46.43 tff(19861,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19862,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19863,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19862, 19861])).
% 73.26/46.43 tff(19864,plain,
% 73.26/46.43 (~v104(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19863, 510, 19852, 19723])).
% 73.26/46.43 tff(19865,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19866,plain,
% 73.26/46.43 (((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19867,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19866])).
% 73.26/46.43 tff(19868,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19867, 19865])).
% 73.26/46.43 tff(19869,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19870,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19869, 19868])).
% 73.26/46.43 tff(19871,plain,
% 73.26/46.43 (v104(constB124) | v102(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19870, 524, 19852])).
% 73.26/46.43 tff(19872,plain,
% 73.26/46.43 (v102(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19871, 19864])).
% 73.26/46.43 tff(19873,plain,
% 73.26/46.43 (v1(constB124) <=> v1(constB124)),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19874,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 73.26/46.43 tff(19875,plain,
% 73.26/46.43 (v1(constB124)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19874, 19873])).
% 73.26/46.43 tff(19876,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19877,plain,
% 73.26/46.43 (((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))) <=> ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19878,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19877])).
% 73.26/46.43 tff(19879,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19878, 19876])).
% 73.26/46.43 tff(19880,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19881,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19880, 19879])).
% 73.26/46.43 tff(19882,plain,
% 73.26/46.43 (v101(constB124) | (~v102(constB124))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19881, 545, 19852, 19875])).
% 73.26/46.43 tff(19883,plain,
% 73.26/46.43 (v101(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19882, 19872])).
% 73.26/46.43 tff(19884,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19885,plain,
% 73.26/46.43 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19886,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19885])).
% 73.26/46.43 tff(19887,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19886, 19884])).
% 73.26/46.43 tff(19888,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19889,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19888, 19887])).
% 73.26/46.43 tff(19890,plain,
% 73.26/46.43 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19889, 563, 19852])).
% 73.26/46.43 tff(19891,plain,
% 73.26/46.43 (v100(constB124) | (~v110(constB124))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19890, 19883])).
% 73.26/46.43 tff(19892,plain,
% 73.26/46.43 (v100(constB124)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19891, 19860])).
% 73.26/46.43 tff(19893,plain,
% 73.26/46.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19894,plain,
% 73.26/46.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19895,plain,
% 73.26/46.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 73.26/46.43 tff(19896,plain,
% 73.26/46.43 (v130(constB123, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19895, 917, 19821])).
% 73.26/46.43 tff(19897,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19898,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19899,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 73.26/46.43 tff(19900,plain,
% 73.26/46.43 ((~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19899, 596, 19837])).
% 73.26/46.43 tff(19901,plain,
% 73.26/46.43 (v127(constB123, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19900, 19896])).
% 73.26/46.43 tff(19902,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19903,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19904,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 73.26/46.43 tff(19905,plain,
% 73.26/46.43 ((~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19904, 611, 19852])).
% 73.26/46.43 tff(19906,plain,
% 73.26/46.43 (v129(constB124, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19905, 19901])).
% 73.26/46.43 tff(19907,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19908,plain,
% 73.26/46.43 ((v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19909,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19908])).
% 73.26/46.43 tff(19910,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19909, 19907])).
% 73.26/46.43 tff(19911,plain,
% 73.26/46.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19912,plain,
% 73.26/46.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19911, 19910])).
% 73.26/46.43 tff(19913,plain,
% 73.26/46.43 (v90(constB124, bitIndex2) | (~v100(constB124))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19912, 626, 19906])).
% 73.26/46.43 tff(19914,plain,
% 73.26/46.43 (v90(constB124, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19913, 19892])).
% 73.26/46.43 tff(19915,plain,
% 73.26/46.43 ((~v1(constB125)) <=> (~v1(constB125))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19916,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 73.26/46.43 tff(19917,plain,
% 73.26/46.43 (~v1(constB125)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19916, 19915])).
% 73.26/46.43 tff(19918,plain,
% 73.26/46.43 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19919,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 73.26/46.43 tff(19920,plain,
% 73.26/46.43 (nextState(constB124, constB125)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 73.26/46.43 tff(19921,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19922,plain,
% 73.26/46.43 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19923,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19922])).
% 73.26/46.43 tff(19924,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19923, 19921])).
% 73.26/46.43 tff(19925,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19926,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19925, 19924])).
% 73.26/46.43 tff(19927,plain,
% 73.26/46.43 (~v101(constB125)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19926, 288, 19920, 19917])).
% 73.26/46.43 tff(19928,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19929,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19930,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19929, 19928])).
% 73.26/46.43 tff(19931,plain,
% 73.26/46.43 (v101(constB125) | (~v100(constB125))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19930, 305, 19920])).
% 73.26/46.43 tff(19932,plain,
% 73.26/46.43 (~v100(constB125)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19931, 19927])).
% 73.26/46.43 tff(19933,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19934,plain,
% 73.26/46.43 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19935,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19934])).
% 73.26/46.43 tff(19936,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19935, 19933])).
% 73.26/46.43 tff(19937,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19938,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19937, 19936])).
% 73.26/46.43 tff(19939,plain,
% 73.26/46.43 ((~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19938, 662, 19920])).
% 73.26/46.43 tff(19940,plain,
% 73.26/46.43 ((~v90(constB124, bitIndex2)) | v90(constB125, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19939, 19932])).
% 73.26/46.43 tff(19941,plain,
% 73.26/46.43 (v90(constB125, bitIndex2)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19940, 19914])).
% 73.26/46.43 tff(19942,plain,
% 73.26/46.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19943,plain,
% 73.26/46.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19944,plain,
% 73.26/46.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19943, 19942])).
% 73.26/46.43 tff(19945,plain,
% 73.26/46.43 (v130(constB123, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19944, 976, 19821])).
% 73.26/46.43 tff(19946,plain,
% 73.26/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19947,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19948,plain,
% 73.26/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19947, 19946])).
% 73.26/46.43 tff(19949,plain,
% 73.26/46.43 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19948, 990, 19837])).
% 73.26/46.43 tff(19950,plain,
% 73.26/46.43 (v127(constB123, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19949, 19945])).
% 73.26/46.43 tff(19951,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19952,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19953,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 73.26/46.43 tff(19954,plain,
% 73.26/46.43 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19953, 1005, 19852])).
% 73.26/46.43 tff(19955,plain,
% 73.26/46.43 (v129(constB124, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19954, 19950])).
% 73.26/46.43 tff(19956,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19957,plain,
% 73.26/46.43 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19958,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19957])).
% 73.26/46.43 tff(19959,plain,
% 73.26/46.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19958, 19956])).
% 73.26/46.43 tff(19960,plain,
% 73.26/46.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19961,plain,
% 73.26/46.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19960, 19959])).
% 73.26/46.43 tff(19962,plain,
% 73.26/46.43 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19961, 1020, 19955])).
% 73.26/46.43 tff(19963,plain,
% 73.26/46.43 (v90(constB124, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19962, 19892])).
% 73.26/46.43 tff(19964,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19965,plain,
% 73.26/46.43 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.26/46.43 inference(rewrite,[status(thm)],[])).
% 73.26/46.43 tff(19966,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 73.26/46.43 inference(monotonicity,[status(thm)],[19965])).
% 73.26/46.43 tff(19967,plain,
% 73.26/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.26/46.43 inference(transitivity,[status(thm)],[19966, 19964])).
% 73.26/46.43 tff(19968,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.26/46.43 inference(quant_inst,[status(thm)],[])).
% 73.26/46.43 tff(19969,plain,
% 73.26/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 73.26/46.43 inference(modus_ponens,[status(thm)],[19968, 19967])).
% 73.26/46.43 tff(19970,plain,
% 73.26/46.43 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19969, 1038, 19920])).
% 73.26/46.43 tff(19971,plain,
% 73.26/46.43 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19970, 19932])).
% 73.26/46.43 tff(19972,plain,
% 73.26/46.43 (v90(constB125, bitIndex1)),
% 73.26/46.43 inference(unit_resolution,[status(thm)],[19971, 19963])).
% 73.26/46.44 tff(19973,plain,
% 73.26/46.44 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19974,plain,
% 73.26/46.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(19975,plain,
% 73.26/46.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 73.26/46.44 tff(19976,plain,
% 73.26/46.44 (~v130(constB123, bitIndex0)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19975, 1057, 19821])).
% 73.26/46.44 tff(19977,assumption,(v127(constB123, bitIndex0)), introduced(assumption)).
% 73.26/46.44 tff(19978,assumption,(~v130(constB123, bitIndex0)), introduced(assumption)).
% 73.26/46.44 tff(19979,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19980,plain,
% 73.26/46.44 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19981,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[19980])).
% 73.26/46.44 tff(19982,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.26/46.44 inference(transitivity,[status(thm)],[19981, 19979])).
% 73.26/46.44 tff(19983,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(19984,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[19983, 19982])).
% 73.26/46.44 tff(19985,plain,
% 73.26/46.44 ((~v127(constB123, bitIndex0)) | v26(constB123)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19984, 769, 19978])).
% 73.26/46.44 tff(19986,plain,
% 73.26/46.44 (v26(constB123)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19985, 19977])).
% 73.26/46.44 tff(19987,plain,
% 73.26/46.44 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB123)) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB123)) | (~v127(constB123, bitIndex0)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19988,plain,
% 73.26/46.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB123)) | (~v127(constB123, bitIndex0)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(19989,plain,
% 73.26/46.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB123)) | (~v127(constB123, bitIndex0))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 73.26/46.44 tff(19990,plain,
% 73.26/46.44 ($false),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19989, 3193, 19977, 19986])).
% 73.26/46.44 tff(19991,plain,((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.26/46.44 tff(19992,plain,
% 73.26/46.44 (~v127(constB123, bitIndex0)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19991, 19976])).
% 73.26/46.44 tff(19993,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19994,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(19995,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 73.26/46.44 tff(19996,plain,
% 73.26/46.44 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19995, 787, 19852])).
% 73.26/46.44 tff(19997,plain,
% 73.26/46.44 (~v129(constB124, bitIndex0)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[19996, 19992])).
% 73.26/46.44 tff(19998,plain,
% 73.26/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(19999,plain,
% 73.26/46.44 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20000,plain,
% 73.26/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[19999])).
% 73.26/46.44 tff(20001,plain,
% 73.26/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20000, 19998])).
% 73.26/46.44 tff(20002,plain,
% 73.26/46.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20003,plain,
% 73.26/46.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 73.26/46.44 tff(20004,plain,
% 73.26/46.44 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20003, 802, 19997])).
% 73.26/46.44 tff(20005,plain,
% 73.26/46.44 (~v90(constB124, bitIndex0)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20004, 19892])).
% 73.26/46.44 tff(20006,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20007,plain,
% 73.26/46.44 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20008,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[20007])).
% 73.26/46.44 tff(20009,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20008, 20006])).
% 73.26/46.44 tff(20010,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20011,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20010, 20009])).
% 73.26/46.44 tff(20012,plain,
% 73.26/46.44 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20011, 362, 19920])).
% 73.26/46.44 tff(20013,plain,
% 73.26/46.44 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20012, 19932])).
% 73.26/46.44 tff(20014,plain,
% 73.26/46.44 (~v90(constB125, bitIndex0)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20013, 20005])).
% 73.26/46.44 tff(20015,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20016,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20017,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125)),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20016, 20015])).
% 73.26/46.44 tff(20018,plain,
% 73.26/46.44 (v125(constB125)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20017, 1101, 20014, 19972, 19941])).
% 73.26/46.44 tff(20019,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20020,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20021,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 73.26/46.44 tff(20022,plain,
% 73.26/46.44 (v113(constB125)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20021, 1112, 20018])).
% 73.26/46.44 tff(20023,assumption,(v26(constB125)), introduced(assumption)).
% 73.26/46.44 tff(20024,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20025,plain,
% 73.26/46.44 ($false),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20024, 26, 20023])).
% 73.26/46.44 tff(20026,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 73.26/46.44 tff(20027,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20028,plain,
% 73.26/46.44 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20029,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[20028])).
% 73.26/46.44 tff(20030,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20029, 20027])).
% 73.26/46.44 tff(20031,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20032,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20031, 20030])).
% 73.26/46.44 tff(20033,plain,
% 73.26/46.44 (v112(constB125) | (~v113(constB125))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20032, 463, 20026])).
% 73.26/46.44 tff(20034,plain,
% 73.26/46.44 (v112(constB125)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20033, 20022])).
% 73.26/46.44 tff(20035,plain,
% 73.26/46.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20036,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20037,plain,
% 73.26/46.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20036, 20035])).
% 73.26/46.44 tff(20038,plain,
% 73.26/46.44 (v108(constB125)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20037, 475, 20034])).
% 73.26/46.44 tff(20039,plain,
% 73.26/46.44 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20040,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 73.26/46.44 tff(20041,plain,
% 73.26/46.44 (nextState(constB125, constB126)),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 73.26/46.44 tff(20042,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20043,plain,
% 73.26/46.44 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20044,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[20043])).
% 73.26/46.44 tff(20045,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20044, 20042])).
% 73.26/46.44 tff(20046,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20047,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 73.26/46.44 tff(20048,plain,
% 73.26/46.44 (v110(constB126) | (~v108(constB125))),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20047, 492, 20041])).
% 73.26/46.44 tff(20049,plain,
% 73.26/46.44 (v110(constB126)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20048, 20038])).
% 73.26/46.44 tff(20050,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20051,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20052,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 73.26/46.44 tff(20053,plain,
% 73.26/46.44 (~v104(constB126)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20052, 510, 20041, 19917])).
% 73.26/46.44 tff(20054,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20055,plain,
% 73.26/46.44 (((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20056,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[20055])).
% 73.26/46.44 tff(20057,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20056, 20054])).
% 73.26/46.44 tff(20058,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20059,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20058, 20057])).
% 73.26/46.44 tff(20060,plain,
% 73.26/46.44 (v104(constB126) | v102(constB126)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20059, 524, 20041])).
% 73.26/46.44 tff(20061,plain,
% 73.26/46.44 (v102(constB126)),
% 73.26/46.44 inference(unit_resolution,[status(thm)],[20060, 20053])).
% 73.26/46.44 tff(20062,plain,
% 73.26/46.44 (v1(constB126) <=> v1(constB126)),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20063,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 73.26/46.44 tff(20064,plain,
% 73.26/46.44 (v1(constB126)),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20063, 20062])).
% 73.26/46.44 tff(20065,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20066,plain,
% 73.26/46.44 (((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))) <=> ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 73.26/46.44 inference(rewrite,[status(thm)],[])).
% 73.26/46.44 tff(20067,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))))),
% 73.26/46.44 inference(monotonicity,[status(thm)],[20066])).
% 73.26/46.44 tff(20068,plain,
% 73.26/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 73.26/46.44 inference(transitivity,[status(thm)],[20067, 20065])).
% 73.26/46.44 tff(20069,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 73.26/46.44 inference(quant_inst,[status(thm)],[])).
% 73.26/46.44 tff(20070,plain,
% 73.26/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))),
% 73.26/46.44 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 73.29/46.44 tff(20071,plain,
% 73.29/46.44 (v101(constB126) | (~v102(constB126))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20070, 545, 20041, 20064])).
% 73.29/46.44 tff(20072,plain,
% 73.29/46.44 (v101(constB126)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20071, 20061])).
% 73.29/46.44 tff(20073,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20074,plain,
% 73.29/46.44 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20075,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 73.29/46.44 inference(monotonicity,[status(thm)],[20074])).
% 73.29/46.44 tff(20076,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.29/46.44 inference(transitivity,[status(thm)],[20075, 20073])).
% 73.29/46.44 tff(20077,plain,
% 73.29/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20078,plain,
% 73.29/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 73.29/46.44 tff(20079,plain,
% 73.29/46.44 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20078, 563, 20041])).
% 73.29/46.44 tff(20080,plain,
% 73.29/46.44 (v100(constB126) | (~v110(constB126))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20079, 20072])).
% 73.29/46.44 tff(20081,plain,
% 73.29/46.44 (v100(constB126)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20080, 20049])).
% 73.29/46.44 tff(20082,plain,
% 73.29/46.44 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20083,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20084,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 73.29/46.44 tff(20085,plain,
% 73.29/46.44 (~v119(constB125)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20084, 1207, 19972])).
% 73.29/46.44 tff(20086,plain,
% 73.29/46.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20087,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20088,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 73.29/46.44 tff(20089,plain,
% 73.29/46.44 (~v122(constB125)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20088, 1193, 19941])).
% 73.29/46.44 tff(20090,assumption,(v100(constB124)), introduced(assumption)).
% 73.29/46.44 tff(20091,assumption,(v124(constB125)), introduced(assumption)).
% 73.29/46.44 tff(20092,plain,
% 73.29/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB125, bitIndex2) | (~v124(constB125)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB125, bitIndex2) | (~v124(constB125)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20093,plain,
% 73.29/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB125, bitIndex2) | (~v124(constB125)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20094,plain,
% 73.29/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB125, bitIndex2) | (~v124(constB125))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20093, 20092])).
% 73.29/46.44 tff(20095,plain,
% 73.29/46.44 (v90(constB125, bitIndex2)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20094, 9441, 20091])).
% 73.29/46.44 tff(20096,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20097,plain,
% 73.29/46.44 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20098,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 73.29/46.44 inference(monotonicity,[status(thm)],[20097])).
% 73.29/46.44 tff(20099,plain,
% 73.29/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.29/46.44 inference(transitivity,[status(thm)],[20098, 20096])).
% 73.29/46.44 tff(20100,plain,
% 73.29/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20101,plain,
% 73.29/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 73.29/46.44 tff(20102,plain,
% 73.29/46.44 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20101, 320, 19920])).
% 73.29/46.44 tff(20103,plain,
% 73.29/46.44 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20102, 19932])).
% 73.29/46.44 tff(20104,plain,
% 73.29/46.44 (v90(constB124, bitIndex2)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20103, 20095])).
% 73.29/46.44 tff(20105,plain,
% 73.29/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB125, bitIndex0) | (~v124(constB125)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB125, bitIndex0) | (~v124(constB125)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20106,plain,
% 73.29/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB125, bitIndex0) | (~v124(constB125)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20107,plain,
% 73.29/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB125, bitIndex0) | (~v124(constB125))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 73.29/46.44 tff(20108,plain,
% 73.29/46.44 (v90(constB125, bitIndex0)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20107, 4085, 20091])).
% 73.29/46.44 tff(20109,plain,
% 73.29/46.44 (v90(constB124, bitIndex0)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20013, 20108])).
% 73.29/46.44 tff(20110,assumption,(v90(constB124, bitIndex0)), introduced(assumption)).
% 73.29/46.44 tff(20111,plain,
% 73.29/46.44 (v129(constB124, bitIndex0) | (~v100(constB124))),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20003, 802, 20110])).
% 73.29/46.44 tff(20112,plain,
% 73.29/46.44 (v129(constB124, bitIndex0)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20111, 20090])).
% 73.29/46.44 tff(20113,plain,
% 73.29/46.44 (v127(constB123, bitIndex0)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[19996, 20112])).
% 73.29/46.44 tff(20114,plain,
% 73.29/46.44 (v130(constB123, bitIndex0)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[19991, 20113])).
% 73.29/46.44 tff(20115,plain,
% 73.29/46.44 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20116,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20117,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20116, 20115])).
% 73.29/46.44 tff(20118,plain,
% 73.29/46.44 (~v120(constB123)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20117, 1690, 20114])).
% 73.29/46.44 tff(20119,plain,
% 73.29/46.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.44 inference(rewrite,[status(thm)],[])).
% 73.29/46.44 tff(20120,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.44 inference(quant_inst,[status(thm)],[])).
% 73.29/46.44 tff(20121,plain,
% 73.29/46.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0))),
% 73.29/46.44 inference(modus_ponens,[status(thm)],[20120, 20119])).
% 73.29/46.44 tff(20122,plain,
% 73.29/46.44 (~v122(constB123)),
% 73.29/46.44 inference(unit_resolution,[status(thm)],[20121, 2182, 20114])).
% 73.29/46.44 tff(20123,assumption,(v90(constB124, bitIndex2)), introduced(assumption)).
% 73.29/46.44 tff(20124,plain,
% 73.29/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20125,plain,
% 73.29/46.45 (((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20126,plain,
% 73.29/46.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20125])).
% 73.29/46.45 tff(20127,plain,
% 73.29/46.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20126, 20124])).
% 73.29/46.45 tff(20128,plain,
% 73.29/46.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20129,plain,
% 73.29/46.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 73.29/46.45 tff(20130,plain,
% 73.29/46.45 (v129(constB124, bitIndex2) | (~v100(constB124))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20129, 1304, 20123])).
% 73.29/46.45 tff(20131,plain,
% 73.29/46.45 (v129(constB124, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20130, 20090])).
% 73.29/46.45 tff(20132,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20133,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20134,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 73.29/46.45 tff(20135,plain,
% 73.29/46.45 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20134, 1289, 19852])).
% 73.29/46.45 tff(20136,plain,
% 73.29/46.45 (v127(constB123, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20135, 20131])).
% 73.29/46.45 tff(20137,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20138,plain,
% 73.29/46.45 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20139,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20138])).
% 73.29/46.45 tff(20140,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20139, 20137])).
% 73.29/46.45 tff(20141,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20142,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 73.29/46.45 tff(20143,plain,
% 73.29/46.45 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20142, 1271, 19837])).
% 73.29/46.45 tff(20144,plain,
% 73.29/46.45 (v130(constB123, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20143, 20136])).
% 73.29/46.45 tff(20145,plain,
% 73.29/46.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20146,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20147,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20146, 20145])).
% 73.29/46.45 tff(20148,plain,
% 73.29/46.45 (~v121(constB123)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20147, 1748, 20144])).
% 73.29/46.45 tff(20149,plain,
% 73.29/46.45 (~v123(constB123)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19975, 1057, 20114])).
% 73.29/46.45 tff(20150,plain,
% 73.29/46.45 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20151,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20152,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20151, 20150])).
% 73.29/46.45 tff(20153,plain,
% 73.29/46.45 (~v119(constB123)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20152, 755, 20114])).
% 73.29/46.45 tff(20154,assumption,(v124(constB123)), introduced(assumption)).
% 73.29/46.45 tff(20155,plain,
% 73.29/46.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v124(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v124(constB123)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20156,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v124(constB123)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20157,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v124(constB123))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 73.29/46.45 tff(20158,plain,
% 73.29/46.45 (~v90(constB123, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20157, 1229, 20154])).
% 73.29/46.45 tff(20159,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20160,plain,
% 73.29/46.45 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20161,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1)))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20160])).
% 73.29/46.45 tff(20162,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20161, 20159])).
% 73.29/46.45 tff(20163,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20164,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1)),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20163, 20162])).
% 73.29/46.45 tff(20165,plain,
% 73.29/46.45 ((~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20164, 1038, 19726])).
% 73.29/46.45 tff(20166,plain,
% 73.29/46.45 ((~v90(constB122, bitIndex1)) | v90(constB123, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20165, 19738])).
% 73.29/46.45 tff(20167,plain,
% 73.29/46.45 (~v90(constB122, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20166, 20158])).
% 73.29/46.45 tff(20168,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB123, bitIndex0) | (~v124(constB123)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB123, bitIndex0) | (~v124(constB123)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20169,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB123, bitIndex0) | (~v124(constB123)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20170,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB123, bitIndex0) | (~v124(constB123))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20169, 20168])).
% 73.29/46.45 tff(20171,plain,
% 73.29/46.45 (v90(constB123, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20170, 4085, 20154])).
% 73.29/46.45 tff(20172,plain,
% 73.29/46.45 (v90(constB122, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19814, 20171])).
% 73.29/46.45 tff(20173,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB123, bitIndex2) | (~v124(constB123)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB123, bitIndex2) | (~v124(constB123)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20174,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB123, bitIndex2) | (~v124(constB123)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20175,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB123, bitIndex2) | (~v124(constB123))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 73.29/46.45 tff(20176,plain,
% 73.29/46.45 (v90(constB123, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20175, 9441, 20154])).
% 73.29/46.45 tff(20177,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20178,plain,
% 73.29/46.45 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20179,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20178])).
% 73.29/46.45 tff(20180,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20179, 20177])).
% 73.29/46.45 tff(20181,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20182,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20181, 20180])).
% 73.29/46.45 tff(20183,plain,
% 73.29/46.45 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20182, 320, 19726])).
% 73.29/46.45 tff(20184,plain,
% 73.29/46.45 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20183, 19738])).
% 73.29/46.45 tff(20185,plain,
% 73.29/46.45 (v90(constB122, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20184, 20176])).
% 73.29/46.45 tff(20186,assumption,(v90(constB122, bitIndex2)), introduced(assumption)).
% 73.29/46.45 tff(20187,assumption,(~v100(constB122)), introduced(assumption)).
% 73.29/46.45 tff(20188,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20189,plain,
% 73.29/46.45 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))) <=> (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20190,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20189])).
% 73.29/46.45 tff(20191,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20190, 20188])).
% 73.29/46.45 tff(20192,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20193,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 73.29/46.45 tff(20194,plain,
% 73.29/46.45 (v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20193, 320, 19658])).
% 73.29/46.45 tff(20195,plain,
% 73.29/46.45 (v90(constB121, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20194, 20187, 20186])).
% 73.29/46.45 tff(20196,assumption,(~v90(constB122, bitIndex1)), introduced(assumption)).
% 73.29/46.45 tff(20197,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20198,plain,
% 73.29/46.45 (((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1)) <=> ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20199,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1)))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20198])).
% 73.29/46.45 tff(20200,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20199, 20197])).
% 73.29/46.45 tff(20201,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20202,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1)),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 73.29/46.45 tff(20203,plain,
% 73.29/46.45 ((~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20202, 1038, 19658])).
% 73.29/46.45 tff(20204,plain,
% 73.29/46.45 (~v90(constB121, bitIndex1)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20203, 20187, 20196])).
% 73.29/46.45 tff(20205,assumption,(v90(constB122, bitIndex0)), introduced(assumption)).
% 73.29/46.45 tff(20206,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20207,plain,
% 73.29/46.45 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))) <=> (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20208,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20207])).
% 73.29/46.45 tff(20209,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20208, 20206])).
% 73.29/46.45 tff(20210,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20211,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 73.29/46.45 tff(20212,plain,
% 73.29/46.45 (v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20211, 362, 19658])).
% 73.29/46.45 tff(20213,plain,
% 73.29/46.45 (v90(constB121, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20212, 20187, 20205])).
% 73.29/46.45 tff(20214,plain,
% 73.29/46.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v124(constB121))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v124(constB121))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20215,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v124(constB121))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20216,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v124(constB121)),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20215, 20214])).
% 73.29/46.45 tff(20217,plain,
% 73.29/46.45 (v124(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20216, 3620, 20213, 20204, 20195])).
% 73.29/46.45 tff(20218,plain,
% 73.29/46.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB121) | (~v124(constB121)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB121) | (~v124(constB121)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20219,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB121) | (~v124(constB121)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20220,plain,
% 73.29/46.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB121) | (~v124(constB121))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 73.29/46.45 tff(20221,plain,
% 73.29/46.45 (v114(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20220, 3631, 20217])).
% 73.29/46.45 tff(20222,plain,
% 73.29/46.45 (~v110(constB122)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19697, 20187])).
% 73.29/46.45 tff(20223,plain,
% 73.29/46.45 (~v108(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19665, 20222])).
% 73.29/46.45 tff(20224,plain,
% 73.29/46.45 (~v112(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19654, 475, 20223])).
% 73.29/46.45 tff(20225,plain,
% 73.29/46.45 (~v113(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19650, 20224])).
% 73.29/46.45 tff(20226,plain,
% 73.29/46.45 ($false),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19638, 449, 20225, 20221])).
% 73.29/46.45 tff(20227,plain,(v100(constB122) | (~v90(constB122, bitIndex2)) | (~v90(constB122, bitIndex0)) | v90(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.45 tff(20228,plain,
% 73.29/46.45 (v100(constB122)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20227, 20185, 20172, 20167])).
% 73.29/46.45 tff(20229,plain,
% 73.29/46.45 (v129(constB122, bitIndex0) | (~v100(constB122))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19804, 802, 20172])).
% 73.29/46.45 tff(20230,plain,
% 73.29/46.45 (v129(constB122, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20229, 20228])).
% 73.29/46.45 tff(20231,plain,
% 73.29/46.45 (v127(constB121, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19797, 20230])).
% 73.29/46.45 tff(20232,plain,
% 73.29/46.45 (v130(constB121, bitIndex0)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19792, 20231])).
% 73.29/46.45 tff(20233,plain,
% 73.29/46.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20234,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20235,plain,
% 73.29/46.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 73.29/46.45 tff(20236,plain,
% 73.29/46.45 (~v123(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20235, 1057, 20232])).
% 73.29/46.45 tff(20237,plain,
% 73.29/46.45 (~v122(constB121)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[19784, 2182, 20232])).
% 73.29/46.45 tff(20238,plain,
% 73.29/46.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20239,plain,
% 73.29/46.45 (((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20240,plain,
% 73.29/46.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))))),
% 73.29/46.45 inference(monotonicity,[status(thm)],[20239])).
% 73.29/46.45 tff(20241,plain,
% 73.29/46.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.29/46.45 inference(transitivity,[status(thm)],[20240, 20238])).
% 73.29/46.45 tff(20242,plain,
% 73.29/46.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))),
% 73.29/46.45 inference(quant_inst,[status(thm)],[])).
% 73.29/46.45 tff(20243,plain,
% 73.29/46.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 73.29/46.45 inference(modus_ponens,[status(thm)],[20242, 20241])).
% 73.29/46.45 tff(20244,plain,
% 73.29/46.45 (v129(constB122, bitIndex2) | (~v100(constB122))),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20243, 1304, 20185])).
% 73.29/46.45 tff(20245,plain,
% 73.29/46.45 (v129(constB122, bitIndex2)),
% 73.29/46.45 inference(unit_resolution,[status(thm)],[20244, 20228])).
% 73.29/46.45 tff(20246,plain,
% 73.29/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 73.29/46.45 inference(rewrite,[status(thm)],[])).
% 73.29/46.45 tff(20247,plain,
% 73.29/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20248,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 73.29/46.46 tff(20249,plain,
% 73.29/46.46 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20248, 1289, 19658])).
% 73.29/46.46 tff(20250,plain,
% 73.29/46.46 (v127(constB121, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20249, 20245])).
% 73.29/46.46 tff(20251,assumption,(v127(constB121, bitIndex2)), introduced(assumption)).
% 73.29/46.46 tff(20252,assumption,(~v130(constB121, bitIndex2)), introduced(assumption)).
% 73.29/46.46 tff(20253,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20254,plain,
% 73.29/46.46 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20255,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20254])).
% 73.29/46.46 tff(20256,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20255, 20253])).
% 73.29/46.46 tff(20257,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20258,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20257, 20256])).
% 73.29/46.46 tff(20259,plain,
% 73.29/46.46 ((~v127(constB121, bitIndex2)) | v26(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20258, 1271, 20252])).
% 73.29/46.46 tff(20260,plain,
% 73.29/46.46 (v26(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20259, 20251])).
% 73.29/46.46 tff(20261,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20262,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20263,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 73.29/46.46 tff(20264,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20263, 4054, 20251, 20260])).
% 73.29/46.46 tff(20265,plain,((~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20266,plain,
% 73.29/46.46 (v130(constB121, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20265, 20250])).
% 73.29/46.46 tff(20267,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20268,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20269,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 73.29/46.46 tff(20270,plain,
% 73.29/46.46 (~v121(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20269, 1748, 20266])).
% 73.29/46.46 tff(20271,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20272,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20273,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 73.29/46.46 tff(20274,plain,
% 73.29/46.46 (~v119(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20273, 755, 20232])).
% 73.29/46.46 tff(20275,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20276,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20277,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 73.29/46.46 tff(20278,plain,
% 73.29/46.46 (~v124(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20277, 3733, 20266])).
% 73.29/46.46 tff(20279,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20280,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20281,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB121)) | (~v130(constB121, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 73.29/46.46 tff(20282,plain,
% 73.29/46.46 (~v120(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20281, 1587, 20266])).
% 73.29/46.46 tff(20283,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20284,plain,
% 73.29/46.46 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))) <=> ((~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20285,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20284])).
% 73.29/46.46 tff(20286,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20285, 20283])).
% 73.29/46.46 tff(20287,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20288,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20287, 20286])).
% 73.29/46.46 tff(20289,plain,
% 73.29/46.46 (v124(constB121) | v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20288, 1254, 20266])).
% 73.29/46.46 tff(20290,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20289, 20282, 20278, 20274, 20270, 20237, 20236])).
% 73.29/46.46 tff(20291,plain,(~v124(constB123)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20292,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20293,plain,
% 73.29/46.46 ((v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex2))) <=> (v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20294,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2))))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20293])).
% 73.29/46.46 tff(20295,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2)))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20294, 20292])).
% 73.29/46.46 tff(20296,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20297,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB123) | v119(constB123) | v124(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 73.29/46.46 tff(20298,plain,
% 73.29/46.46 (v123(constB123) | v119(constB123) | v122(constB123) | v120(constB123) | v121(constB123) | (~v130(constB123, bitIndex2))),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20297, 1254, 20291])).
% 73.29/46.46 tff(20299,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20298, 20153, 20149, 20144, 20148, 20122, 20118])).
% 73.29/46.46 tff(20300,plain,((~v100(constB124)) | (~v90(constB124, bitIndex2)) | (~v90(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20301,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20300, 20109, 20104, 20090])).
% 73.29/46.46 tff(20302,plain,((~v124(constB125)) | (~v100(constB124))), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20303,plain,
% 73.29/46.46 (~v124(constB125)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20302, 19892])).
% 73.29/46.46 tff(20304,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v121(constB125)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20305,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v121(constB125)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20306,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v121(constB125))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 73.29/46.46 tff(20307,plain,
% 73.29/46.46 (~v121(constB125)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20306, 1182, 19941])).
% 73.29/46.46 tff(20308,assumption,(v120(constB125)), introduced(assumption)).
% 73.29/46.46 tff(20309,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB125, bitIndex0) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB125, bitIndex0) | (~v120(constB125)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20310,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB125, bitIndex0) | (~v120(constB125)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20311,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB125, bitIndex0) | (~v120(constB125))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 73.29/46.46 tff(20312,plain,
% 73.29/46.46 (v90(constB125, bitIndex0)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20311, 4101, 20308])).
% 73.29/46.46 tff(20313,plain,
% 73.29/46.46 (v90(constB124, bitIndex0)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20013, 20312])).
% 73.29/46.46 tff(20314,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20315,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20316,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20315, 20314])).
% 73.29/46.46 tff(20317,plain,
% 73.29/46.46 (~v90(constB125, bitIndex1)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20316, 1240, 20308])).
% 73.29/46.46 tff(20318,plain,
% 73.29/46.46 (~v90(constB124, bitIndex1)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19971, 20317])).
% 73.29/46.46 tff(20319,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v120(constB125)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20320,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v120(constB125)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20321,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v120(constB125))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20320, 20319])).
% 73.29/46.46 tff(20322,plain,
% 73.29/46.46 (~v90(constB125, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20321, 5411, 20308])).
% 73.29/46.46 tff(20323,plain,
% 73.29/46.46 (~v90(constB124, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19940, 20322])).
% 73.29/46.46 tff(20324,assumption,(~v100(constB124)), introduced(assumption)).
% 73.29/46.46 tff(20325,plain,
% 73.29/46.46 (~v110(constB124)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19891, 20324])).
% 73.29/46.46 tff(20326,plain,
% 73.29/46.46 (~v108(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19859, 20325])).
% 73.29/46.46 tff(20327,plain,
% 73.29/46.46 (~v112(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19848, 475, 20326])).
% 73.29/46.46 tff(20328,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB123) | (~v26(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB123) | (~v26(constB123)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20329,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB123) | (~v26(constB123)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20330,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB123) | (~v26(constB123))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 73.29/46.46 tff(20331,plain,
% 73.29/46.46 (~v26(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20330, 1807, 20326])).
% 73.29/46.46 tff(20332,plain,
% 73.29/46.46 (~v113(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19843, 463, 20331, 20327])).
% 73.29/46.46 tff(20333,plain,
% 73.29/46.46 (~v114(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19832, 449, 20332])).
% 73.29/46.46 tff(20334,plain,
% 73.29/46.46 (~v115(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[19828, 438, 20333])).
% 73.29/46.46 tff(20335,assumption,(~v90(constB124, bitIndex2)), introduced(assumption)).
% 73.29/46.46 tff(20336,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20337,plain,
% 73.29/46.46 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)) <=> ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20338,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20337])).
% 73.29/46.46 tff(20339,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20338, 20336])).
% 73.29/46.46 tff(20340,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20341,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20340, 20339])).
% 73.29/46.46 tff(20342,plain,
% 73.29/46.46 ((~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20341, 662, 19852])).
% 73.29/46.46 tff(20343,plain,
% 73.29/46.46 (~v90(constB123, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20342, 20324, 20335])).
% 73.29/46.46 tff(20344,assumption,(~v90(constB124, bitIndex1)), introduced(assumption)).
% 73.29/46.46 tff(20345,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20346,plain,
% 73.29/46.46 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)) <=> ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20347,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20346])).
% 73.29/46.46 tff(20348,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20347, 20345])).
% 73.29/46.46 tff(20349,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20350,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 73.29/46.46 tff(20351,plain,
% 73.29/46.46 ((~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20350, 1038, 19852])).
% 73.29/46.46 tff(20352,plain,
% 73.29/46.46 (~v90(constB123, bitIndex1)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20351, 20324, 20344])).
% 73.29/46.46 tff(20353,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20354,plain,
% 73.29/46.46 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))) <=> (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20355,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20354])).
% 73.29/46.46 tff(20356,plain,
% 73.29/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20355, 20353])).
% 73.29/46.46 tff(20357,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20358,plain,
% 73.29/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20357, 20356])).
% 73.29/46.46 tff(20359,plain,
% 73.29/46.46 (v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20358, 362, 19852])).
% 73.29/46.46 tff(20360,plain,
% 73.29/46.46 (v90(constB123, bitIndex0)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20359, 20324, 20110])).
% 73.29/46.46 tff(20361,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20362,plain,
% 73.29/46.46 (((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20363,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20362])).
% 73.29/46.46 tff(20364,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20363, 20361])).
% 73.29/46.46 tff(20365,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20366,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20365, 20364])).
% 73.29/46.46 tff(20367,plain,
% 73.29/46.46 (v120(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20366, 1480, 20360, 20352, 20343])).
% 73.29/46.46 tff(20368,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20369,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20370,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 73.29/46.46 tff(20371,plain,
% 73.29/46.46 (v118(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20370, 1494, 20367])).
% 73.29/46.46 tff(20372,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20373,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20374,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 73.29/46.46 tff(20375,plain,
% 73.29/46.46 (v117(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20374, 405, 20371])).
% 73.29/46.46 tff(20376,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20377,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20378,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 73.29/46.46 tff(20379,plain,
% 73.29/46.46 (v116(constB123)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20378, 416, 20375])).
% 73.29/46.46 tff(20380,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20381,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20382,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 73.29/46.46 tff(20383,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20382, 427, 20379, 20334])).
% 73.29/46.46 tff(20384,plain,(v100(constB124) | (~v90(constB124, bitIndex0)) | v90(constB124, bitIndex2) | v90(constB124, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20385,plain,
% 73.29/46.46 (v100(constB124)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20384, 20313, 20323, 20318])).
% 73.29/46.46 tff(20386,assumption,(~v129(constB124, bitIndex0)), introduced(assumption)).
% 73.29/46.46 tff(20387,plain,
% 73.29/46.46 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20003, 802, 20386])).
% 73.29/46.46 tff(20388,plain,
% 73.29/46.46 ($false),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20387, 20385, 20313])).
% 73.29/46.46 tff(20389,plain,((~v120(constB125)) | v129(constB124, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.46 tff(20390,plain,
% 73.29/46.46 (~v120(constB125)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20389, 19997])).
% 73.29/46.46 tff(20391,plain,
% 73.29/46.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v123(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v123(constB125)))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20392,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v123(constB125)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20393,plain,
% 73.29/46.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v123(constB125))),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 73.29/46.46 tff(20394,plain,
% 73.29/46.46 (~v123(constB125)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20393, 1218, 19972])).
% 73.29/46.46 tff(20395,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20396,plain,
% 73.29/46.46 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2))) <=> ((~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20397,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)))),
% 73.29/46.46 inference(monotonicity,[status(thm)],[20396])).
% 73.29/46.46 tff(20398,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.46 inference(transitivity,[status(thm)],[20397, 20395])).
% 73.29/46.46 tff(20399,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 73.29/46.46 inference(quant_inst,[status(thm)],[])).
% 73.29/46.46 tff(20400,plain,
% 73.29/46.46 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB125, bitIndex2)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)),
% 73.29/46.46 inference(modus_ponens,[status(thm)],[20399, 20398])).
% 73.29/46.46 tff(20401,plain,
% 73.29/46.46 (~v130(constB125, bitIndex2)),
% 73.29/46.46 inference(unit_resolution,[status(thm)],[20400, 1254, 20394, 20390, 20307, 20303, 20089, 20085])).
% 73.29/46.46 tff(20402,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20403,plain,
% 73.29/46.46 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.29/46.46 inference(rewrite,[status(thm)],[])).
% 73.29/46.46 tff(20404,plain,
% 73.29/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20403])).
% 73.29/46.47 tff(20405,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20404, 20402])).
% 73.29/46.47 tff(20406,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20407,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 73.29/46.47 tff(20408,plain,
% 73.29/46.47 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20407, 1271, 20026])).
% 73.29/46.47 tff(20409,plain,
% 73.29/46.47 (~v127(constB125, bitIndex2)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20408, 20401])).
% 73.29/46.47 tff(20410,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20411,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20412,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 73.29/46.47 tff(20413,plain,
% 73.29/46.47 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20412, 1289, 20041])).
% 73.29/46.47 tff(20414,plain,
% 73.29/46.47 (~v129(constB126, bitIndex2)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20413, 20409])).
% 73.29/46.47 tff(20415,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20416,plain,
% 73.29/46.47 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20417,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20416])).
% 73.29/46.47 tff(20418,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20417, 20415])).
% 73.29/46.47 tff(20419,plain,
% 73.29/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20420,plain,
% 73.29/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 73.29/46.47 tff(20421,plain,
% 73.29/46.47 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20420, 1304, 20414])).
% 73.29/46.47 tff(20422,plain,
% 73.29/46.47 (~v90(constB126, bitIndex2)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20421, 20081])).
% 73.29/46.47 tff(20423,plain,
% 73.29/46.47 ((~v1(constB127)) <=> (~v1(constB127))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20424,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 73.29/46.47 tff(20425,plain,
% 73.29/46.47 (~v1(constB127)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 73.29/46.47 tff(20426,plain,
% 73.29/46.47 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20427,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 73.29/46.47 tff(20428,plain,
% 73.29/46.47 (nextState(constB126, constB127)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 73.29/46.47 tff(20429,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20430,plain,
% 73.29/46.47 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20431,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20430])).
% 73.29/46.47 tff(20432,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20431, 20429])).
% 73.29/46.47 tff(20433,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20434,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 73.29/46.47 tff(20435,plain,
% 73.29/46.47 (~v101(constB127)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20434, 288, 20428, 20425])).
% 73.29/46.47 tff(20436,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20437,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20438,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20437, 20436])).
% 73.29/46.47 tff(20439,plain,
% 73.29/46.47 (v101(constB127) | (~v100(constB127))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20438, 305, 20428])).
% 73.29/46.47 tff(20440,plain,
% 73.29/46.47 (~v100(constB127)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20439, 20435])).
% 73.29/46.47 tff(20441,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20442,plain,
% 73.29/46.47 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20443,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20442])).
% 73.29/46.47 tff(20444,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20443, 20441])).
% 73.29/46.47 tff(20445,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20446,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20445, 20444])).
% 73.29/46.47 tff(20447,plain,
% 73.29/46.47 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20446, 320, 20428])).
% 73.29/46.47 tff(20448,plain,
% 73.29/46.47 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20447, 20440])).
% 73.29/46.47 tff(20449,plain,
% 73.29/46.47 (~v90(constB127, bitIndex2)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20448, 20422])).
% 73.29/46.47 tff(20450,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20451,plain,
% 73.29/46.47 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1))) <=> ((~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20452,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20451])).
% 73.29/46.47 tff(20453,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20452, 20450])).
% 73.29/46.47 tff(20454,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20455,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB125, bitIndex1)) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20454, 20453])).
% 73.29/46.47 tff(20456,plain,
% 73.29/46.47 (~v130(constB125, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20455, 1349, 20394, 20390, 20307, 20303, 20089, 20085])).
% 73.29/46.47 tff(20457,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20458,plain,
% 73.29/46.47 ((v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1))) <=> ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20459,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20458])).
% 73.29/46.47 tff(20460,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20459, 20457])).
% 73.29/46.47 tff(20461,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20462,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20461, 20460])).
% 73.29/46.47 tff(20463,plain,
% 73.29/46.47 ((~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20462, 695, 20026])).
% 73.29/46.47 tff(20464,plain,
% 73.29/46.47 (~v127(constB125, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20463, 20456])).
% 73.29/46.47 tff(20465,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20466,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20467,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 73.29/46.47 tff(20468,plain,
% 73.29/46.47 (v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20467, 713, 20041])).
% 73.29/46.47 tff(20469,plain,
% 73.29/46.47 (~v129(constB126, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20468, 20464])).
% 73.29/46.47 tff(20470,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20471,plain,
% 73.29/46.47 (((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20472,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20471])).
% 73.29/46.47 tff(20473,plain,
% 73.29/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20472, 20470])).
% 73.29/46.47 tff(20474,plain,
% 73.29/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20475,plain,
% 73.29/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 73.29/46.47 tff(20476,plain,
% 73.29/46.47 ((~v90(constB126, bitIndex1)) | (~v100(constB126))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20475, 728, 20469])).
% 73.29/46.47 tff(20477,plain,
% 73.29/46.47 (~v90(constB126, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20476, 20081])).
% 73.29/46.47 tff(20478,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20479,plain,
% 73.29/46.47 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20480,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20479])).
% 73.29/46.47 tff(20481,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20480, 20478])).
% 73.29/46.47 tff(20482,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20483,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20482, 20481])).
% 73.29/46.47 tff(20484,plain,
% 73.29/46.47 (v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20483, 341, 20428])).
% 73.29/46.47 tff(20485,plain,
% 73.29/46.47 (v90(constB126, bitIndex1) | (~v90(constB127, bitIndex1))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20484, 20440])).
% 73.29/46.47 tff(20486,plain,
% 73.29/46.47 (~v90(constB127, bitIndex1)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20485, 20477])).
% 73.29/46.47 tff(20487,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20488,plain,
% 73.29/46.47 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0)) <=> (v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20489,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20488])).
% 73.29/46.47 tff(20490,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20489, 20487])).
% 73.29/46.47 tff(20491,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20492,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB125, bitIndex0) | v123(constB125) | v122(constB125) | v119(constB125) | v120(constB125) | v121(constB125) | v124(constB125)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20491, 20490])).
% 73.29/46.47 tff(20493,plain,
% 73.29/46.47 (v130(constB125, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20492, 1396, 20394, 20390, 20307, 20303, 20089, 20085])).
% 73.29/46.47 tff(20494,plain,
% 73.29/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20495,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20496,plain,
% 73.29/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 73.29/46.47 tff(20497,plain,
% 73.29/46.47 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20496, 1413, 20026])).
% 73.29/46.47 tff(20498,plain,
% 73.29/46.47 (v127(constB125, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20497, 20493])).
% 73.29/46.47 tff(20499,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20500,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20501,plain,
% 73.29/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 73.29/46.47 tff(20502,plain,
% 73.29/46.47 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20501, 1428, 20041])).
% 73.29/46.47 tff(20503,plain,
% 73.29/46.47 (v129(constB126, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20502, 20498])).
% 73.29/46.47 tff(20504,plain,
% 73.29/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20505,plain,
% 73.29/46.47 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20506,plain,
% 73.29/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 73.29/46.47 inference(monotonicity,[status(thm)],[20505])).
% 73.29/46.47 tff(20507,plain,
% 73.29/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.29/46.47 inference(transitivity,[status(thm)],[20506, 20504])).
% 73.29/46.47 tff(20508,plain,
% 73.29/46.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 73.29/46.47 inference(quant_inst,[status(thm)],[])).
% 73.29/46.47 tff(20509,plain,
% 73.29/46.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 73.29/46.47 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 73.29/46.47 tff(20510,plain,
% 73.29/46.47 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20509, 1443, 20503])).
% 73.29/46.47 tff(20511,plain,
% 73.29/46.47 (v90(constB126, bitIndex0)),
% 73.29/46.47 inference(unit_resolution,[status(thm)],[20510, 20081])).
% 73.29/46.47 tff(20512,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20513,plain,
% 73.29/46.47 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.29/46.47 inference(rewrite,[status(thm)],[])).
% 73.29/46.47 tff(20514,plain,
% 73.29/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20513])).
% 73.29/46.48 tff(20515,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20514, 20512])).
% 73.29/46.48 tff(20516,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20517,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 73.29/46.48 tff(20518,plain,
% 73.29/46.48 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20517, 1461, 20428])).
% 73.29/46.48 tff(20519,plain,
% 73.29/46.48 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20518, 20440])).
% 73.29/46.48 tff(20520,plain,
% 73.29/46.48 (v90(constB127, bitIndex0)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20519, 20511])).
% 73.29/46.48 tff(20521,plain,
% 73.29/46.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20522,plain,
% 73.29/46.48 (((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)) <=> ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20523,plain,
% 73.29/46.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20522])).
% 73.29/46.48 tff(20524,plain,
% 73.29/46.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20523, 20521])).
% 73.29/46.48 tff(20525,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20526,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 73.29/46.48 tff(20527,plain,
% 73.29/46.48 (v120(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20526, 1480, 20520, 20486, 20449])).
% 73.29/46.48 tff(20528,plain,
% 73.29/46.48 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20529,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20530,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 73.29/46.48 tff(20531,plain,
% 73.29/46.48 (~v130(constB127, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20530, 1587, 20527])).
% 73.29/46.48 tff(20532,assumption,(v26(constB127)), introduced(assumption)).
% 73.29/46.48 tff(20533,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20534,plain,
% 73.29/46.48 ($false),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20533, 26, 20532])).
% 73.29/46.48 tff(20535,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.48 tff(20536,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20537,plain,
% 73.29/46.48 ((v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2))) <=> ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20538,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20537])).
% 73.29/46.48 tff(20539,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20538, 20536])).
% 73.29/46.48 tff(20540,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20541,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20540, 20539])).
% 73.29/46.48 tff(20542,plain,
% 73.29/46.48 ((~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20541, 1271, 20535])).
% 73.29/46.48 tff(20543,plain,
% 73.29/46.48 (~v127(constB127, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20542, 20531])).
% 73.29/46.48 tff(20544,plain,
% 73.29/46.48 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20545,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 73.29/46.48 tff(20546,plain,
% 73.29/46.48 (nextState(constB127, constB128)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20545, 20544])).
% 73.29/46.48 tff(20547,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20548,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20549,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 73.29/46.48 tff(20550,plain,
% 73.29/46.48 (v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20549, 1289, 20546])).
% 73.29/46.48 tff(20551,plain,
% 73.29/46.48 (~v129(constB128, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20550, 20543])).
% 73.29/46.48 tff(20552,assumption,(~v90(constB127, bitIndex2)), introduced(assumption)).
% 73.29/46.48 tff(20553,assumption,(~v100(constB128)), introduced(assumption)).
% 73.29/46.48 tff(20554,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20555,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2))) <=> (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20556,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2))))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20555])).
% 73.29/46.48 tff(20557,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20556, 20554])).
% 73.29/46.48 tff(20558,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20559,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 73.29/46.48 tff(20560,plain,
% 73.29/46.48 (v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20559, 320, 20546])).
% 73.29/46.48 tff(20561,plain,
% 73.29/46.48 (~v90(constB128, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20560, 20552, 20553])).
% 73.29/46.48 tff(20562,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20563,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20564,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20563, 20562])).
% 73.29/46.48 tff(20565,plain,
% 73.29/46.48 (~v104(constB128)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20564, 510, 20546, 20425])).
% 73.29/46.48 tff(20566,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20567,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20568,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20567])).
% 73.29/46.48 tff(20569,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20568, 20566])).
% 73.29/46.48 tff(20570,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20571,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 73.29/46.48 tff(20572,plain,
% 73.29/46.48 (v104(constB128) | v102(constB128)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20571, 524, 20546])).
% 73.29/46.48 tff(20573,plain,
% 73.29/46.48 (v102(constB128)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20572, 20565])).
% 73.29/46.48 tff(20574,plain,
% 73.29/46.48 (v1(constB128) <=> v1(constB128)),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20575,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 73.29/46.48 tff(20576,plain,
% 73.29/46.48 (v1(constB128)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20575, 20574])).
% 73.29/46.48 tff(20577,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20578,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))) <=> ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20579,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20578])).
% 73.29/46.48 tff(20580,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20579, 20577])).
% 73.29/46.48 tff(20581,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20582,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 73.29/46.48 tff(20583,plain,
% 73.29/46.48 (v101(constB128) | (~v102(constB128))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20582, 545, 20546, 20576])).
% 73.29/46.48 tff(20584,plain,
% 73.29/46.48 (v101(constB128)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20583, 20573])).
% 73.29/46.48 tff(20585,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20586,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20587,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20586])).
% 73.29/46.48 tff(20588,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20587, 20585])).
% 73.29/46.48 tff(20589,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20590,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 73.29/46.48 tff(20591,plain,
% 73.29/46.48 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20590, 563, 20546])).
% 73.29/46.48 tff(20592,plain,
% 73.29/46.48 (v100(constB128) | (~v110(constB128))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20591, 20584])).
% 73.29/46.48 tff(20593,plain,
% 73.29/46.48 (~v110(constB128)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20592, 20553])).
% 73.29/46.48 tff(20594,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20595,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20596,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20595])).
% 73.29/46.48 tff(20597,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20596, 20594])).
% 73.29/46.48 tff(20598,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20599,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 73.29/46.48 tff(20600,plain,
% 73.29/46.48 (v110(constB128) | (~v108(constB127))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20599, 492, 20546])).
% 73.29/46.48 tff(20601,plain,
% 73.29/46.48 (~v108(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20600, 20593])).
% 73.29/46.48 tff(20602,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20603,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20604,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 73.29/46.48 tff(20605,plain,
% 73.29/46.48 (~v112(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20604, 475, 20601])).
% 73.29/46.48 tff(20606,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20607,plain,
% 73.29/46.48 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20608,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20607])).
% 73.29/46.48 tff(20609,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20608, 20606])).
% 73.29/46.48 tff(20610,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20611,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 73.29/46.48 tff(20612,plain,
% 73.29/46.48 (v112(constB127) | (~v113(constB127))),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20611, 463, 20535])).
% 73.29/46.48 tff(20613,plain,
% 73.29/46.48 (~v113(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20612, 20605])).
% 73.29/46.48 tff(20614,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20615,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20616,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 73.29/46.48 tff(20617,plain,
% 73.29/46.48 (~v114(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20616, 449, 20613])).
% 73.29/46.48 tff(20618,plain,
% 73.29/46.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20619,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20620,plain,
% 73.29/46.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 73.29/46.48 tff(20621,plain,
% 73.29/46.48 (~v115(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20620, 438, 20617])).
% 73.29/46.48 tff(20622,assumption,(~v90(constB128, bitIndex2)), introduced(assumption)).
% 73.29/46.48 tff(20623,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20624,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex2)) | v100(constB128) | v90(constB128, bitIndex2)) <=> ((~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20625,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex2)) | v100(constB128) | v90(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20624])).
% 73.29/46.48 tff(20626,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex2)) | v100(constB128) | v90(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20625, 20623])).
% 73.29/46.48 tff(20627,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex2)) | v100(constB128) | v90(constB128, bitIndex2))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20628,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB127, bitIndex2)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex2)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 73.29/46.48 tff(20629,plain,
% 73.29/46.48 ((~v90(constB127, bitIndex2)) | v100(constB128) | v90(constB128, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20628, 662, 20546])).
% 73.29/46.48 tff(20630,plain,
% 73.29/46.48 (~v90(constB127, bitIndex2)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20629, 20553, 20622])).
% 73.29/46.48 tff(20631,assumption,(~v90(constB128, bitIndex1)), introduced(assumption)).
% 73.29/46.48 tff(20632,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20633,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex1)) | v100(constB128) | v90(constB128, bitIndex1)) <=> ((~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20634,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex1)) | v100(constB128) | v90(constB128, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20633])).
% 73.29/46.48 tff(20635,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex1)) | v100(constB128) | v90(constB128, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1))),
% 73.29/46.48 inference(transitivity,[status(thm)],[20634, 20632])).
% 73.29/46.48 tff(20636,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex1)) | v100(constB128) | v90(constB128, bitIndex1))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20637,plain,
% 73.29/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB127, bitIndex1)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex1)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 73.29/46.48 tff(20638,plain,
% 73.29/46.48 ((~v90(constB127, bitIndex1)) | v100(constB128) | v90(constB128, bitIndex1)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20637, 1038, 20546])).
% 73.29/46.48 tff(20639,plain,
% 73.29/46.48 (~v90(constB127, bitIndex1)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20638, 20553, 20631])).
% 73.29/46.48 tff(20640,assumption,(~v90(constB128, bitIndex0)), introduced(assumption)).
% 73.29/46.48 tff(20641,assumption,(~v130(constB127, bitIndex2)), introduced(assumption)).
% 73.29/46.48 tff(20642,plain,
% 73.29/46.48 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20643,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.48 inference(quant_inst,[status(thm)],[])).
% 73.29/46.48 tff(20644,plain,
% 73.29/46.48 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB127)) | v130(constB127, bitIndex2)),
% 73.29/46.48 inference(modus_ponens,[status(thm)],[20643, 20642])).
% 73.29/46.48 tff(20645,plain,
% 73.29/46.48 (~v119(constB127)),
% 73.29/46.48 inference(unit_resolution,[status(thm)],[20644, 582, 20641])).
% 73.29/46.48 tff(20646,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20647,plain,
% 73.29/46.48 (((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)) <=> ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 73.29/46.48 inference(rewrite,[status(thm)],[])).
% 73.29/46.48 tff(20648,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)))),
% 73.29/46.48 inference(monotonicity,[status(thm)],[20647])).
% 73.29/46.48 tff(20649,plain,
% 73.29/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20648, 20646])).
% 73.29/46.49 tff(20650,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20651,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20650, 20649])).
% 73.29/46.49 tff(20652,plain,
% 73.29/46.49 ((~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20651, 1461, 20546])).
% 73.29/46.49 tff(20653,plain,
% 73.29/46.49 (~v90(constB127, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20652, 20553, 20640])).
% 73.29/46.49 tff(20654,assumption,(~v119(constB127)), introduced(assumption)).
% 73.29/46.49 tff(20655,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB127) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB127) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20656,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB127) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20657,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB127) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 73.29/46.49 tff(20658,plain,
% 73.29/46.49 (v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20657, 383, 20654])).
% 73.29/46.49 tff(20659,plain,
% 73.29/46.49 ($false),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20658, 20639, 20653, 20630])).
% 73.29/46.49 tff(20660,plain,(v100(constB128) | v119(constB127) | v90(constB128, bitIndex2) | v90(constB128, bitIndex1) | v90(constB128, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.49 tff(20661,plain,
% 73.29/46.49 (v100(constB128)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20660, 20645, 20622, 20631, 20640])).
% 73.29/46.49 tff(20662,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20663,plain,
% 73.29/46.49 ((v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20664,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20663])).
% 73.29/46.49 tff(20665,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20664, 20662])).
% 73.29/46.49 tff(20666,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20667,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 73.29/46.49 tff(20668,plain,
% 73.29/46.49 ((~v129(constB128, bitIndex1)) | (~v100(constB128))),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20667, 1020, 20631])).
% 73.29/46.49 tff(20669,plain,
% 73.29/46.49 (~v129(constB128, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20668, 20661])).
% 73.29/46.49 tff(20670,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20671,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20672,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20671, 20670])).
% 73.29/46.49 tff(20673,plain,
% 73.29/46.49 ((~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20672, 1005, 20546])).
% 73.29/46.49 tff(20674,plain,
% 73.29/46.49 (~v127(constB127, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20673, 20669])).
% 73.29/46.49 tff(20675,assumption,(~v26(constB127)), introduced(assumption)).
% 73.29/46.49 tff(20676,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20677,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20678,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20677, 20676])).
% 73.29/46.49 tff(20679,plain,
% 73.29/46.49 ((~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20678, 990, 20675])).
% 73.29/46.49 tff(20680,plain,
% 73.29/46.49 (~v130(constB127, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20679, 20674])).
% 73.29/46.49 tff(20681,plain,
% 73.29/46.49 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20682,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20683,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB127)) | v130(constB127, bitIndex1)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 73.29/46.49 tff(20684,plain,
% 73.29/46.49 (~v124(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20683, 3556, 20680])).
% 73.29/46.49 tff(20685,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20686,plain,
% 73.29/46.49 ((v90(constB128, bitIndex0) | (~v100(constB128)) | (~v129(constB128, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20687,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~v100(constB128)) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128))))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20686])).
% 73.29/46.49 tff(20688,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~v100(constB128)) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128)))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20687, 20685])).
% 73.29/46.49 tff(20689,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~v100(constB128)) | (~v129(constB128, bitIndex0)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20690,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~v129(constB128, bitIndex0)) | (~v100(constB128))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20689, 20688])).
% 73.29/46.49 tff(20691,plain,
% 73.29/46.49 ((~v129(constB128, bitIndex0)) | (~v100(constB128))),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20690, 1443, 20640])).
% 73.29/46.49 tff(20692,plain,
% 73.29/46.49 (~v129(constB128, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20691, 20661])).
% 73.29/46.49 tff(20693,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex0)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex0)) | v129(constB128, bitIndex0))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20694,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex0)) | v129(constB128, bitIndex0))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20695,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex0)) | v129(constB128, bitIndex0)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 73.29/46.49 tff(20696,plain,
% 73.29/46.49 ((~v127(constB127, bitIndex0)) | v129(constB128, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20695, 1428, 20546])).
% 73.29/46.49 tff(20697,plain,
% 73.29/46.49 (~v127(constB127, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20696, 20692])).
% 73.29/46.49 tff(20698,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB127) | (~v130(constB127, bitIndex0)) | v127(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB127) | (~v130(constB127, bitIndex0)) | v127(constB127, bitIndex0))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20699,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB127) | (~v130(constB127, bitIndex0)) | v127(constB127, bitIndex0))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20700,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB127) | (~v130(constB127, bitIndex0)) | v127(constB127, bitIndex0)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 73.29/46.49 tff(20701,plain,
% 73.29/46.49 ((~v130(constB127, bitIndex0)) | v127(constB127, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20700, 1413, 20675])).
% 73.29/46.49 tff(20702,plain,
% 73.29/46.49 (~v130(constB127, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20701, 20697])).
% 73.29/46.49 tff(20703,plain,
% 73.29/46.49 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20704,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20705,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB127)) | v130(constB127, bitIndex1)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 73.29/46.49 tff(20706,plain,
% 73.29/46.49 (~v121(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20705, 1904, 20680])).
% 73.29/46.49 tff(20707,plain,
% 73.29/46.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20708,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20709,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 73.29/46.49 tff(20710,plain,
% 73.29/46.49 (~v120(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20709, 1649, 20680])).
% 73.29/46.49 tff(20711,plain,
% 73.29/46.49 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20712,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20713,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 73.29/46.49 tff(20714,plain,
% 73.29/46.49 (~v122(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20713, 2079, 20641])).
% 73.29/46.49 tff(20715,plain,
% 73.29/46.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20716,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB127)) | v130(constB127, bitIndex2))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20717,plain,
% 73.29/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB127)) | v130(constB127, bitIndex2)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 73.29/46.49 tff(20718,plain,
% 73.29/46.49 (~v123(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20717, 917, 20641])).
% 73.29/46.49 tff(20719,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20720,plain,
% 73.29/46.49 ((v120(constB127) | v119(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | v130(constB127, bitIndex0)) <=> (v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20721,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB127) | v119(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127)))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20720])).
% 73.29/46.49 tff(20722,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB127) | v119(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20721, 20719])).
% 73.29/46.49 tff(20723,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB127) | v119(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | v130(constB127, bitIndex0))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20724,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB127, bitIndex0) | v123(constB127) | v122(constB127) | v119(constB127) | v120(constB127) | v121(constB127) | v124(constB127)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 73.29/46.49 tff(20725,plain,
% 73.29/46.49 (v130(constB127, bitIndex0) | v120(constB127) | v121(constB127) | v124(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20724, 1396, 20718, 20714, 20645])).
% 73.29/46.49 tff(20726,plain,
% 73.29/46.49 ($false),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20725, 20710, 20706, 20702, 20684])).
% 73.29/46.49 tff(20727,plain,(v130(constB127, bitIndex2) | v26(constB127) | v90(constB128, bitIndex0) | v90(constB128, bitIndex1) | v90(constB128, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.49 tff(20728,plain,
% 73.29/46.49 (v130(constB127, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20727, 20622, 20640, 20631, 20535])).
% 73.29/46.49 tff(20729,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20730,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20731,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20730, 20729])).
% 73.29/46.49 tff(20732,plain,
% 73.29/46.49 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20731, 596, 20535])).
% 73.29/46.49 tff(20733,plain,
% 73.29/46.49 (v127(constB127, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20732, 20728])).
% 73.29/46.49 tff(20734,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20735,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20736,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 73.29/46.49 tff(20737,plain,
% 73.29/46.49 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20736, 611, 20546])).
% 73.29/46.49 tff(20738,plain,
% 73.29/46.49 (v129(constB128, bitIndex2)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20737, 20733])).
% 73.29/46.49 tff(20739,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20740,plain,
% 73.29/46.49 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20741,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20740])).
% 73.29/46.49 tff(20742,plain,
% 73.29/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20741, 20739])).
% 73.29/46.49 tff(20743,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20744,plain,
% 73.29/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 73.29/46.49 tff(20745,plain,
% 73.29/46.49 (~v100(constB128)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20744, 626, 20622, 20738])).
% 73.29/46.49 tff(20746,plain,
% 73.29/46.49 (v119(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20660, 20745, 20640, 20631, 20622])).
% 73.29/46.49 tff(20747,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB127) | (~v119(constB127)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB127) | (~v119(constB127)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20748,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB127) | (~v119(constB127)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20749,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB127) | (~v119(constB127))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 73.29/46.49 tff(20750,plain,
% 73.29/46.49 (v118(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20749, 394, 20746])).
% 73.29/46.49 tff(20751,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB127) | (~v118(constB127)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB127) | (~v118(constB127)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20752,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB127) | (~v118(constB127)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20753,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB127) | (~v118(constB127))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20752, 20751])).
% 73.29/46.49 tff(20754,plain,
% 73.29/46.49 (v117(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20753, 405, 20750])).
% 73.29/46.49 tff(20755,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB127) | (~v117(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB127) | (~v117(constB127)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20756,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB127) | (~v117(constB127)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20757,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB127) | (~v117(constB127))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20756, 20755])).
% 73.29/46.49 tff(20758,plain,
% 73.29/46.49 (v116(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20757, 416, 20754])).
% 73.29/46.49 tff(20759,plain,
% 73.29/46.49 (~v110(constB128)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20592, 20745])).
% 73.29/46.49 tff(20760,plain,
% 73.29/46.49 (~v108(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20600, 20759])).
% 73.29/46.49 tff(20761,plain,
% 73.29/46.49 (~v112(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20604, 475, 20760])).
% 73.29/46.49 tff(20762,plain,
% 73.29/46.49 (~v113(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20612, 20761])).
% 73.29/46.49 tff(20763,plain,
% 73.29/46.49 (~v114(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20616, 449, 20762])).
% 73.29/46.49 tff(20764,plain,
% 73.29/46.49 (~v115(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20620, 438, 20763])).
% 73.29/46.49 tff(20765,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20766,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20767,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 73.29/46.49 tff(20768,plain,
% 73.29/46.49 ($false),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20767, 427, 20764, 20758])).
% 73.29/46.49 tff(20769,plain,(v90(constB128, bitIndex2) | v90(constB128, bitIndex0) | v90(constB128, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.49 tff(20770,plain,
% 73.29/46.49 (v90(constB128, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20769, 20631, 20622])).
% 73.29/46.49 tff(20771,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20772,plain,
% 73.29/46.49 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0))) <=> (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20773,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0))))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20772])).
% 73.29/46.49 tff(20774,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20773, 20771])).
% 73.29/46.49 tff(20775,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20776,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20775, 20774])).
% 73.29/46.49 tff(20777,plain,
% 73.29/46.49 (v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0))),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20776, 362, 20546])).
% 73.29/46.49 tff(20778,plain,
% 73.29/46.49 (v90(constB127, bitIndex0)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20777, 20553, 20770])).
% 73.29/46.49 tff(20779,plain,
% 73.29/46.49 (v120(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20526, 1480, 20778, 20639, 20630])).
% 73.29/46.49 tff(20780,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB127) | (~v120(constB127)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB127) | (~v120(constB127)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20781,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB127) | (~v120(constB127)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20782,plain,
% 73.29/46.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB127) | (~v120(constB127))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 73.29/46.49 tff(20783,plain,
% 73.29/46.49 (v118(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20782, 1494, 20779])).
% 73.29/46.49 tff(20784,plain,
% 73.29/46.49 (v117(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20753, 405, 20783])).
% 73.29/46.49 tff(20785,plain,
% 73.29/46.49 (v116(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20757, 416, 20784])).
% 73.29/46.49 tff(20786,plain,
% 73.29/46.49 ($false),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20767, 427, 20785, 20621])).
% 73.29/46.49 tff(20787,plain,(v100(constB128) | v90(constB128, bitIndex2) | v90(constB128, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.49 tff(20788,plain,
% 73.29/46.49 (v90(constB128, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20787, 20561, 20553])).
% 73.29/46.49 tff(20789,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20790,plain,
% 73.29/46.49 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1))) <=> (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 73.29/46.49 inference(rewrite,[status(thm)],[])).
% 73.29/46.49 tff(20791,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1))))),
% 73.29/46.49 inference(monotonicity,[status(thm)],[20790])).
% 73.29/46.49 tff(20792,plain,
% 73.29/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 73.29/46.49 inference(transitivity,[status(thm)],[20791, 20789])).
% 73.29/46.49 tff(20793,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 73.29/46.49 inference(quant_inst,[status(thm)],[])).
% 73.29/46.49 tff(20794,plain,
% 73.29/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1))),
% 73.29/46.49 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 73.29/46.49 tff(20795,plain,
% 73.29/46.49 (v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1))),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20794, 341, 20546])).
% 73.29/46.49 tff(20796,plain,
% 73.29/46.49 (v90(constB127, bitIndex1)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20795, 20788, 20553])).
% 73.29/46.49 tff(20797,plain,
% 73.29/46.49 (~v116(constB127)),
% 73.29/46.49 inference(unit_resolution,[status(thm)],[20767, 427, 20621])).
% 73.29/46.49 tff(20798,plain,
% 73.29/46.49 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20799,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20800,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 73.29/46.50 tff(20801,plain,
% 73.29/46.50 (~v122(constB127)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20800, 1997, 20797])).
% 73.29/46.50 tff(20802,plain,
% 73.29/46.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20803,plain,
% 73.29/46.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20804,plain,
% 73.29/46.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 73.29/46.50 tff(20805,plain,
% 73.29/46.50 ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20804, 1986, 20801])).
% 73.29/46.50 tff(20806,plain,
% 73.29/46.50 (~v90(constB127, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20805, 20796, 20552])).
% 73.29/46.50 tff(20807,plain,
% 73.29/46.50 (~v117(constB127)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20757, 416, 20797])).
% 73.29/46.50 tff(20808,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB127) | (~v121(constB127)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB127) | (~v121(constB127)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20809,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB127) | (~v121(constB127)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20810,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB127) | (~v121(constB127))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 73.29/46.50 tff(20811,plain,
% 73.29/46.50 (~v121(constB127)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20810, 1775, 20807])).
% 73.29/46.50 tff(20812,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB127, bitIndex0) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v121(constB127))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB127, bitIndex0) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v121(constB127))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20813,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB127, bitIndex0) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v121(constB127))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20814,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB127, bitIndex0) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v121(constB127)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 73.29/46.50 tff(20815,plain,
% 73.29/46.50 (v90(constB127, bitIndex0) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20814, 1734, 20811])).
% 73.29/46.50 tff(20816,plain,
% 73.29/46.50 ($false),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20815, 20806, 20796, 20552])).
% 73.29/46.50 tff(20817,plain,(v90(constB127, bitIndex2) | v100(constB128)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.50 tff(20818,plain,
% 73.29/46.50 (v100(constB128)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20817, 20449])).
% 73.29/46.50 tff(20819,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20820,plain,
% 73.29/46.50 (((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20821,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20820])).
% 73.29/46.50 tff(20822,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20821, 20819])).
% 73.29/46.50 tff(20823,plain,
% 73.29/46.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20824,plain,
% 73.29/46.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20823, 20822])).
% 73.29/46.50 tff(20825,plain,
% 73.29/46.50 ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20824, 1304, 20818])).
% 73.29/46.50 tff(20826,plain,
% 73.29/46.50 (~v90(constB128, bitIndex2)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20825, 20551])).
% 73.29/46.50 tff(20827,plain,
% 73.29/46.50 ((~v1(constB129)) <=> (~v1(constB129))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20828,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 73.29/46.50 tff(20829,plain,
% 73.29/46.50 (~v1(constB129)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 73.29/46.50 tff(20830,plain,
% 73.29/46.50 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20831,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 73.29/46.50 tff(20832,plain,
% 73.29/46.50 (nextState(constB128, constB129)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20831, 20830])).
% 73.29/46.50 tff(20833,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20834,plain,
% 73.29/46.50 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20835,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20834])).
% 73.29/46.50 tff(20836,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20835, 20833])).
% 73.29/46.50 tff(20837,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20838,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20837, 20836])).
% 73.29/46.50 tff(20839,plain,
% 73.29/46.50 (~v101(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20838, 288, 20832, 20829])).
% 73.29/46.50 tff(20840,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20841,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20842,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 73.29/46.50 tff(20843,plain,
% 73.29/46.50 (v101(constB129) | (~v100(constB129))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20842, 305, 20832])).
% 73.29/46.50 tff(20844,plain,
% 73.29/46.50 (~v100(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20843, 20839])).
% 73.29/46.50 tff(20845,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20846,plain,
% 73.29/46.50 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20847,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20846])).
% 73.29/46.50 tff(20848,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20847, 20845])).
% 73.29/46.50 tff(20849,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20850,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20849, 20848])).
% 73.29/46.50 tff(20851,plain,
% 73.29/46.50 (v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20850, 320, 20832])).
% 73.29/46.50 tff(20852,plain,
% 73.29/46.50 (v90(constB128, bitIndex2) | (~v90(constB129, bitIndex2))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20851, 20844])).
% 73.29/46.50 tff(20853,plain,
% 73.29/46.50 (~v90(constB129, bitIndex2)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20852, 20826])).
% 73.29/46.50 tff(20854,plain,
% 73.29/46.50 (v130(constB127, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20709, 1649, 20527])).
% 73.29/46.50 tff(20855,plain,
% 73.29/46.50 ((~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20678, 990, 20535])).
% 73.29/46.50 tff(20856,plain,
% 73.29/46.50 (v127(constB127, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20855, 20854])).
% 73.29/46.50 tff(20857,plain,
% 73.29/46.50 (v129(constB128, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20673, 20856])).
% 73.29/46.50 tff(20858,plain,
% 73.29/46.50 (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20667, 1020, 20818])).
% 73.29/46.50 tff(20859,plain,
% 73.29/46.50 (v90(constB128, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20858, 20857])).
% 73.29/46.50 tff(20860,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20861,plain,
% 73.29/46.50 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20862,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20861])).
% 73.29/46.50 tff(20863,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20862, 20860])).
% 73.29/46.50 tff(20864,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20865,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 73.29/46.50 tff(20866,plain,
% 73.29/46.50 ((~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20865, 1038, 20832])).
% 73.29/46.50 tff(20867,plain,
% 73.29/46.50 ((~v90(constB128, bitIndex1)) | v90(constB129, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20866, 20844])).
% 73.29/46.50 tff(20868,plain,
% 73.29/46.50 (v90(constB129, bitIndex1)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20867, 20859])).
% 73.29/46.50 tff(20869,plain,
% 73.29/46.50 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20870,plain,
% 73.29/46.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20871,plain,
% 73.29/46.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20870, 20869])).
% 73.29/46.50 tff(20872,plain,
% 73.29/46.50 (~v130(constB127, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20871, 1690, 20527])).
% 73.29/46.50 tff(20873,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20874,plain,
% 73.29/46.50 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20875,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20874])).
% 73.29/46.50 tff(20876,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20875, 20873])).
% 73.29/46.50 tff(20877,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20878,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 73.29/46.50 tff(20879,plain,
% 73.29/46.50 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20878, 769, 20535])).
% 73.29/46.50 tff(20880,plain,
% 73.29/46.50 (~v127(constB127, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20879, 20872])).
% 73.29/46.50 tff(20881,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20882,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20883,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20882, 20881])).
% 73.29/46.50 tff(20884,plain,
% 73.29/46.50 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20883, 787, 20546])).
% 73.29/46.50 tff(20885,plain,
% 73.29/46.50 (~v129(constB128, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20884, 20880])).
% 73.29/46.50 tff(20886,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20887,plain,
% 73.29/46.50 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20888,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20887])).
% 73.29/46.50 tff(20889,plain,
% 73.29/46.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20888, 20886])).
% 73.29/46.50 tff(20890,plain,
% 73.29/46.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20891,plain,
% 73.29/46.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20890, 20889])).
% 73.29/46.50 tff(20892,plain,
% 73.29/46.50 ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20891, 802, 20818])).
% 73.29/46.50 tff(20893,plain,
% 73.29/46.50 (~v90(constB128, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20892, 20885])).
% 73.29/46.50 tff(20894,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20895,plain,
% 73.29/46.50 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20896,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20895])).
% 73.29/46.50 tff(20897,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20896, 20894])).
% 73.29/46.50 tff(20898,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20899,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 73.29/46.50 tff(20900,plain,
% 73.29/46.50 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20899, 362, 20832])).
% 73.29/46.50 tff(20901,plain,
% 73.29/46.50 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20900, 20844])).
% 73.29/46.50 tff(20902,plain,
% 73.29/46.50 (~v90(constB129, bitIndex0)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20901, 20893])).
% 73.29/46.50 tff(20903,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20904,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20905,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 73.29/46.50 tff(20906,plain,
% 73.29/46.50 (v121(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20905, 1734, 20902, 20868, 20853])).
% 73.29/46.50 tff(20907,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB129) | (~v121(constB129)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB129) | (~v121(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20908,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB129) | (~v121(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20909,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB129) | (~v121(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 73.29/46.50 tff(20910,plain,
% 73.29/46.50 (v117(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20909, 1775, 20906])).
% 73.29/46.50 tff(20911,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20912,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20913,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20912, 20911])).
% 73.29/46.50 tff(20914,plain,
% 73.29/46.50 (v116(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20913, 416, 20910])).
% 73.29/46.50 tff(20915,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20916,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20917,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 73.29/46.50 tff(20918,plain,
% 73.29/46.50 (v115(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20917, 427, 20914])).
% 73.29/46.50 tff(20919,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20920,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20921,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 73.29/46.50 tff(20922,plain,
% 73.29/46.50 (v114(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20921, 438, 20918])).
% 73.29/46.50 tff(20923,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20924,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20925,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 73.29/46.50 tff(20926,plain,
% 73.29/46.50 (v113(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20925, 449, 20922])).
% 73.29/46.50 tff(20927,assumption,(v26(constB129)), introduced(assumption)).
% 73.29/46.50 tff(20928,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20929,plain,
% 73.29/46.50 ($false),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20928, 26, 20927])).
% 73.29/46.50 tff(20930,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.50 tff(20931,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20932,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20933,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20932, 20931])).
% 73.29/46.50 tff(20934,plain,
% 73.29/46.50 ((~v113(constB129)) | v112(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20933, 463, 20930])).
% 73.29/46.50 tff(20935,plain,
% 73.29/46.50 (v112(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20934, 20926])).
% 73.29/46.50 tff(20936,plain,
% 73.29/46.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20937,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20938,plain,
% 73.29/46.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 73.29/46.50 tff(20939,plain,
% 73.29/46.50 (v108(constB129)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20938, 475, 20935])).
% 73.29/46.50 tff(20940,plain,
% 73.29/46.50 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20941,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 73.29/46.50 tff(20942,plain,
% 73.29/46.50 (nextState(constB129, constB130)),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 73.29/46.50 tff(20943,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20944,plain,
% 73.29/46.50 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20945,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 73.29/46.50 inference(monotonicity,[status(thm)],[20944])).
% 73.29/46.50 tff(20946,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.29/46.50 inference(transitivity,[status(thm)],[20945, 20943])).
% 73.29/46.50 tff(20947,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.50 tff(20948,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 73.29/46.50 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 73.29/46.50 tff(20949,plain,
% 73.29/46.50 (v110(constB130) | (~v108(constB129))),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20948, 492, 20942])).
% 73.29/46.50 tff(20950,plain,
% 73.29/46.50 (v110(constB130)),
% 73.29/46.50 inference(unit_resolution,[status(thm)],[20949, 20939])).
% 73.29/46.50 tff(20951,plain,
% 73.29/46.50 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 73.29/46.50 inference(rewrite,[status(thm)],[])).
% 73.29/46.50 tff(20952,plain,
% 73.29/46.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 73.29/46.50 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20953,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 73.29/46.51 tff(20954,plain,
% 73.29/46.51 (~v104(constB130)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20953, 510, 20942, 20829])).
% 73.29/46.51 tff(20955,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20956,plain,
% 73.29/46.51 (((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20957,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[20956])).
% 73.29/46.51 tff(20958,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 73.29/46.51 inference(transitivity,[status(thm)],[20957, 20955])).
% 73.29/46.51 tff(20959,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20960,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 73.29/46.51 tff(20961,plain,
% 73.29/46.51 (v104(constB130) | v102(constB130)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20960, 524, 20942])).
% 73.29/46.51 tff(20962,plain,
% 73.29/46.51 (v102(constB130)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20961, 20954])).
% 73.29/46.51 tff(20963,plain,
% 73.29/46.51 (v1(constB130) <=> v1(constB130)),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20964,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 73.29/46.51 tff(20965,plain,
% 73.29/46.51 (v1(constB130)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 73.29/46.51 tff(20966,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20967,plain,
% 73.29/46.51 (((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))) <=> ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20968,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[20967])).
% 73.29/46.51 tff(20969,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[20968, 20966])).
% 73.29/46.51 tff(20970,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20971,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20970, 20969])).
% 73.29/46.51 tff(20972,plain,
% 73.29/46.51 (v101(constB130) | (~v102(constB130))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20971, 545, 20942, 20965])).
% 73.29/46.51 tff(20973,plain,
% 73.29/46.51 (v101(constB130)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20972, 20962])).
% 73.29/46.51 tff(20974,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20975,plain,
% 73.29/46.51 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20976,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[20975])).
% 73.29/46.51 tff(20977,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[20976, 20974])).
% 73.29/46.51 tff(20978,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20979,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 73.29/46.51 tff(20980,plain,
% 73.29/46.51 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20979, 563, 20942])).
% 73.29/46.51 tff(20981,plain,
% 73.29/46.51 (v100(constB130) | (~v110(constB130))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20980, 20973])).
% 73.29/46.51 tff(20982,plain,
% 73.29/46.51 (v100(constB130)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20981, 20950])).
% 73.29/46.51 tff(20983,plain,
% 73.29/46.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20984,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20985,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 73.29/46.51 tff(20986,plain,
% 73.29/46.51 (~v130(constB129, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20985, 1748, 20906])).
% 73.29/46.51 tff(20987,plain,
% 73.29/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20988,plain,
% 73.29/46.51 ((v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2))) <=> ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20989,plain,
% 73.29/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[20988])).
% 73.29/46.51 tff(20990,plain,
% 73.29/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 73.29/46.51 inference(transitivity,[status(thm)],[20989, 20987])).
% 73.29/46.51 tff(20991,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20992,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 73.29/46.51 tff(20993,plain,
% 73.29/46.51 ((~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20992, 1271, 20930])).
% 73.29/46.51 tff(20994,plain,
% 73.29/46.51 (~v127(constB129, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20993, 20986])).
% 73.29/46.51 tff(20995,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(20996,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(20997,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[20996, 20995])).
% 73.29/46.51 tff(20998,plain,
% 73.29/46.51 (v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20997, 1289, 20942])).
% 73.29/46.51 tff(20999,plain,
% 73.29/46.51 (~v129(constB130, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[20998, 20994])).
% 73.29/46.51 tff(21000,plain,
% 73.29/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21001,plain,
% 73.29/46.51 (((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21002,plain,
% 73.29/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21001])).
% 73.29/46.51 tff(21003,plain,
% 73.29/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[21002, 21000])).
% 73.29/46.51 tff(21004,plain,
% 73.29/46.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21005,plain,
% 73.29/46.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 73.29/46.51 tff(21006,plain,
% 73.29/46.51 ((~v90(constB130, bitIndex2)) | (~v100(constB130))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21005, 1304, 20999])).
% 73.29/46.51 tff(21007,plain,
% 73.29/46.51 (~v90(constB130, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21006, 20982])).
% 73.29/46.51 tff(21008,plain,
% 73.29/46.51 ((~v1(constB131)) <=> (~v1(constB131))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21009,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 73.29/46.51 tff(21010,plain,
% 73.29/46.51 (~v1(constB131)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 73.29/46.51 tff(21011,plain,
% 73.29/46.51 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21012,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 73.29/46.51 tff(21013,plain,
% 73.29/46.51 (nextState(constB130, constB131)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 73.29/46.51 tff(21014,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21015,plain,
% 73.29/46.51 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21016,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21015])).
% 73.29/46.51 tff(21017,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[21016, 21014])).
% 73.29/46.51 tff(21018,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21019,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 73.29/46.51 tff(21020,plain,
% 73.29/46.51 (~v101(constB131)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21019, 288, 21013, 21010])).
% 73.29/46.51 tff(21021,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21022,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21023,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 73.29/46.51 tff(21024,plain,
% 73.29/46.51 (v101(constB131) | (~v100(constB131))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21023, 305, 21013])).
% 73.29/46.51 tff(21025,plain,
% 73.29/46.51 (~v100(constB131)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21024, 21020])).
% 73.29/46.51 tff(21026,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21027,plain,
% 73.29/46.51 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21028,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21027])).
% 73.29/46.51 tff(21029,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[21028, 21026])).
% 73.29/46.51 tff(21030,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21031,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21030, 21029])).
% 73.29/46.51 tff(21032,plain,
% 73.29/46.51 (v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21031, 320, 21013])).
% 73.29/46.51 tff(21033,plain,
% 73.29/46.51 (v90(constB130, bitIndex2) | (~v90(constB131, bitIndex2))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21032, 21025])).
% 73.29/46.51 tff(21034,plain,
% 73.29/46.51 (~v90(constB131, bitIndex2)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21033, 21007])).
% 73.29/46.51 tff(21035,plain,
% 73.29/46.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21036,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21037,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 73.29/46.51 tff(21038,plain,
% 73.29/46.51 (v130(constB129, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21037, 1904, 20906])).
% 73.29/46.51 tff(21039,plain,
% 73.29/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21040,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21041,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21040, 21039])).
% 73.29/46.51 tff(21042,plain,
% 73.29/46.51 ((~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21041, 990, 20930])).
% 73.29/46.51 tff(21043,plain,
% 73.29/46.51 (v127(constB129, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21042, 21038])).
% 73.29/46.51 tff(21044,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21045,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21046,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 73.29/46.51 tff(21047,plain,
% 73.29/46.51 ((~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21046, 1005, 20942])).
% 73.29/46.51 tff(21048,plain,
% 73.29/46.51 (v129(constB130, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21047, 21043])).
% 73.29/46.51 tff(21049,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21050,plain,
% 73.29/46.51 ((v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21051,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21050])).
% 73.29/46.51 tff(21052,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 73.29/46.51 inference(transitivity,[status(thm)],[21051, 21049])).
% 73.29/46.51 tff(21053,plain,
% 73.29/46.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21054,plain,
% 73.29/46.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21053, 21052])).
% 73.29/46.51 tff(21055,plain,
% 73.29/46.51 (v90(constB130, bitIndex1) | (~v100(constB130))),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21054, 1020, 21048])).
% 73.29/46.51 tff(21056,plain,
% 73.29/46.51 (v90(constB130, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21055, 20982])).
% 73.29/46.51 tff(21057,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21058,plain,
% 73.29/46.51 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21059,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21058])).
% 73.29/46.51 tff(21060,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 73.29/46.51 inference(transitivity,[status(thm)],[21059, 21057])).
% 73.29/46.51 tff(21061,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21062,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21061, 21060])).
% 73.29/46.51 tff(21063,plain,
% 73.29/46.51 ((~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21062, 1038, 21013])).
% 73.29/46.51 tff(21064,plain,
% 73.29/46.51 ((~v90(constB130, bitIndex1)) | v90(constB131, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21063, 21025])).
% 73.29/46.51 tff(21065,plain,
% 73.29/46.51 (v90(constB131, bitIndex1)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21064, 21056])).
% 73.29/46.51 tff(21066,plain,
% 73.29/46.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21067,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21068,plain,
% 73.29/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21067, 21066])).
% 73.29/46.51 tff(21069,plain,
% 73.29/46.51 (v130(constB129, bitIndex0)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21068, 1945, 20906])).
% 73.29/46.51 tff(21070,plain,
% 73.29/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21071,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21072,plain,
% 73.29/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21071, 21070])).
% 73.29/46.51 tff(21073,plain,
% 73.29/46.51 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21072, 1413, 20930])).
% 73.29/46.51 tff(21074,plain,
% 73.29/46.51 (v127(constB129, bitIndex0)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21073, 21069])).
% 73.29/46.51 tff(21075,plain,
% 73.29/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21076,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 73.29/46.51 inference(quant_inst,[status(thm)],[])).
% 73.29/46.51 tff(21077,plain,
% 73.29/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 73.29/46.51 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 73.29/46.51 tff(21078,plain,
% 73.29/46.51 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21077, 1428, 20942])).
% 73.29/46.51 tff(21079,plain,
% 73.29/46.51 (v129(constB130, bitIndex0)),
% 73.29/46.51 inference(unit_resolution,[status(thm)],[21078, 21074])).
% 73.29/46.51 tff(21080,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21081,plain,
% 73.29/46.51 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.29/46.51 inference(rewrite,[status(thm)],[])).
% 73.29/46.51 tff(21082,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 73.29/46.51 inference(monotonicity,[status(thm)],[21081])).
% 73.29/46.51 tff(21083,plain,
% 73.29/46.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21082, 21080])).
% 73.29/46.52 tff(21084,plain,
% 73.29/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21085,plain,
% 73.29/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 73.29/46.52 tff(21086,plain,
% 73.29/46.52 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21085, 1443, 21079])).
% 73.29/46.52 tff(21087,plain,
% 73.29/46.52 (v90(constB130, bitIndex0)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21086, 20982])).
% 73.29/46.52 tff(21088,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21089,plain,
% 73.29/46.52 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21090,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21089])).
% 73.29/46.52 tff(21091,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21090, 21088])).
% 73.29/46.52 tff(21092,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21093,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 73.29/46.52 tff(21094,plain,
% 73.29/46.52 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21093, 1461, 21013])).
% 73.29/46.52 tff(21095,plain,
% 73.29/46.52 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21094, 21025])).
% 73.29/46.52 tff(21096,plain,
% 73.29/46.52 (v90(constB131, bitIndex0)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21095, 21087])).
% 73.29/46.52 tff(21097,plain,
% 73.29/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21098,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21099,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21098, 21097])).
% 73.29/46.52 tff(21100,plain,
% 73.29/46.52 (v122(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21099, 1986, 21096, 21065, 21034])).
% 73.29/46.52 tff(21101,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21102,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21103,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21102, 21101])).
% 73.29/46.52 tff(21104,plain,
% 73.29/46.52 (v116(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21103, 1997, 21100])).
% 73.29/46.52 tff(21105,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21106,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21107,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21106, 21105])).
% 73.29/46.52 tff(21108,plain,
% 73.29/46.52 (v115(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21107, 427, 21104])).
% 73.29/46.52 tff(21109,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21110,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21111,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 73.29/46.52 tff(21112,plain,
% 73.29/46.52 (v114(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21111, 438, 21108])).
% 73.29/46.52 tff(21113,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21114,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21115,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 73.29/46.52 tff(21116,plain,
% 73.29/46.52 (v113(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21115, 449, 21112])).
% 73.29/46.52 tff(21117,assumption,(v26(constB131)), introduced(assumption)).
% 73.29/46.52 tff(21118,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21119,plain,
% 73.29/46.52 ($false),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21118, 26, 21117])).
% 73.29/46.52 tff(21120,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 73.29/46.52 tff(21121,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21122,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21123,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 73.29/46.52 tff(21124,plain,
% 73.29/46.52 ((~v113(constB131)) | v112(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21123, 463, 21120])).
% 73.29/46.52 tff(21125,plain,
% 73.29/46.52 (v112(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21124, 21116])).
% 73.29/46.52 tff(21126,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21127,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21128,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21127, 21126])).
% 73.29/46.52 tff(21129,plain,
% 73.29/46.52 (v108(constB131)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21128, 475, 21125])).
% 73.29/46.52 tff(21130,plain,
% 73.29/46.52 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21131,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 73.29/46.52 tff(21132,plain,
% 73.29/46.52 (nextState(constB131, constB132)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 73.29/46.52 tff(21133,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21134,plain,
% 73.29/46.52 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21135,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21134])).
% 73.29/46.52 tff(21136,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21135, 21133])).
% 73.29/46.52 tff(21137,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21138,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 73.29/46.52 tff(21139,plain,
% 73.29/46.52 (v110(constB132) | (~v108(constB131))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21138, 492, 21132])).
% 73.29/46.52 tff(21140,plain,
% 73.29/46.52 (v110(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21139, 21129])).
% 73.29/46.52 tff(21141,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21142,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21143,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21142, 21141])).
% 73.29/46.52 tff(21144,plain,
% 73.29/46.52 (~v104(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21143, 510, 21132, 21010])).
% 73.29/46.52 tff(21145,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21146,plain,
% 73.29/46.52 (((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21147,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21146])).
% 73.29/46.52 tff(21148,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21147, 21145])).
% 73.29/46.52 tff(21149,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21150,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 73.29/46.52 tff(21151,plain,
% 73.29/46.52 (v104(constB132) | v102(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21150, 524, 21132])).
% 73.29/46.52 tff(21152,plain,
% 73.29/46.52 (v102(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21151, 21144])).
% 73.29/46.52 tff(21153,plain,
% 73.29/46.52 (v1(constB132) <=> v1(constB132)),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21154,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 73.29/46.52 tff(21155,plain,
% 73.29/46.52 (v1(constB132)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 73.29/46.52 tff(21156,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21157,plain,
% 73.29/46.52 (((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))) <=> ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21158,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21157])).
% 73.29/46.52 tff(21159,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21158, 21156])).
% 73.29/46.52 tff(21160,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21161,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21160, 21159])).
% 73.29/46.52 tff(21162,plain,
% 73.29/46.52 (v101(constB132) | (~v102(constB132))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21161, 545, 21132, 21155])).
% 73.29/46.52 tff(21163,plain,
% 73.29/46.52 (v101(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21162, 21152])).
% 73.29/46.52 tff(21164,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21165,plain,
% 73.29/46.52 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21166,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21165])).
% 73.29/46.52 tff(21167,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21166, 21164])).
% 73.29/46.52 tff(21168,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21169,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21168, 21167])).
% 73.29/46.52 tff(21170,plain,
% 73.29/46.52 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21169, 563, 21132])).
% 73.29/46.52 tff(21171,plain,
% 73.29/46.52 (v100(constB132) | (~v110(constB132))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21170, 21163])).
% 73.29/46.52 tff(21172,plain,
% 73.29/46.52 (v100(constB132)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21171, 21140])).
% 73.29/46.52 tff(21173,plain,
% 73.29/46.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21174,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21175,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 73.29/46.52 tff(21176,plain,
% 73.29/46.52 (v130(constB131, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21175, 2079, 21100])).
% 73.29/46.52 tff(21177,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21178,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21179,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 73.29/46.52 tff(21180,plain,
% 73.29/46.52 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21179, 596, 21120])).
% 73.29/46.52 tff(21181,plain,
% 73.29/46.52 (v127(constB131, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21180, 21176])).
% 73.29/46.52 tff(21182,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21183,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21184,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 73.29/46.52 tff(21185,plain,
% 73.29/46.52 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21184, 611, 21132])).
% 73.29/46.52 tff(21186,plain,
% 73.29/46.52 (v129(constB132, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21185, 21181])).
% 73.29/46.52 tff(21187,plain,
% 73.29/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21188,plain,
% 73.29/46.52 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21189,plain,
% 73.29/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21188])).
% 73.29/46.52 tff(21190,plain,
% 73.29/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21189, 21187])).
% 73.29/46.52 tff(21191,plain,
% 73.29/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21192,plain,
% 73.29/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21191, 21190])).
% 73.29/46.52 tff(21193,plain,
% 73.29/46.52 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21192, 626, 21186])).
% 73.29/46.52 tff(21194,plain,
% 73.29/46.52 (v90(constB132, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21193, 21172])).
% 73.29/46.52 tff(21195,plain,
% 73.29/46.52 ((~v1(constB133)) <=> (~v1(constB133))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21196,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 73.29/46.52 tff(21197,plain,
% 73.29/46.52 (~v1(constB133)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 73.29/46.52 tff(21198,plain,
% 73.29/46.52 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21199,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 73.29/46.52 tff(21200,plain,
% 73.29/46.52 (nextState(constB132, constB133)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 73.29/46.52 tff(21201,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21202,plain,
% 73.29/46.52 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21203,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21202])).
% 73.29/46.52 tff(21204,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21203, 21201])).
% 73.29/46.52 tff(21205,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21206,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 73.29/46.52 tff(21207,plain,
% 73.29/46.52 (~v101(constB133)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21206, 288, 21200, 21197])).
% 73.29/46.52 tff(21208,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21209,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21210,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 73.29/46.52 tff(21211,plain,
% 73.29/46.52 (v101(constB133) | (~v100(constB133))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21210, 305, 21200])).
% 73.29/46.52 tff(21212,plain,
% 73.29/46.52 (~v100(constB133)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21211, 21207])).
% 73.29/46.52 tff(21213,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21214,plain,
% 73.29/46.52 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21215,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21214])).
% 73.29/46.52 tff(21216,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21215, 21213])).
% 73.29/46.52 tff(21217,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21218,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 73.29/46.52 tff(21219,plain,
% 73.29/46.52 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21218, 662, 21200])).
% 73.29/46.52 tff(21220,plain,
% 73.29/46.52 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21219, 21212])).
% 73.29/46.52 tff(21221,plain,
% 73.29/46.52 (v90(constB133, bitIndex2)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21220, 21194])).
% 73.29/46.52 tff(21222,plain,
% 73.29/46.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21223,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21224,plain,
% 73.29/46.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 73.29/46.52 tff(21225,plain,
% 73.29/46.52 (~v130(constB131, bitIndex1)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21224, 2138, 21100])).
% 73.29/46.52 tff(21226,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21227,plain,
% 73.29/46.52 ((v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1))) <=> ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21228,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21227])).
% 73.29/46.52 tff(21229,plain,
% 73.29/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21228, 21226])).
% 73.29/46.52 tff(21230,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21231,plain,
% 73.29/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 73.29/46.52 tff(21232,plain,
% 73.29/46.52 ((~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21231, 695, 21120])).
% 73.29/46.52 tff(21233,plain,
% 73.29/46.52 (~v127(constB131, bitIndex1)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21232, 21225])).
% 73.29/46.52 tff(21234,plain,
% 73.29/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21235,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21236,plain,
% 73.29/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 73.29/46.52 inference(modus_ponens,[status(thm)],[21235, 21234])).
% 73.29/46.52 tff(21237,plain,
% 73.29/46.52 (v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21236, 713, 21132])).
% 73.29/46.52 tff(21238,plain,
% 73.29/46.52 (~v129(constB132, bitIndex1)),
% 73.29/46.52 inference(unit_resolution,[status(thm)],[21237, 21233])).
% 73.29/46.52 tff(21239,plain,
% 73.29/46.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21240,plain,
% 73.29/46.52 (((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 73.29/46.52 inference(rewrite,[status(thm)],[])).
% 73.29/46.52 tff(21241,plain,
% 73.29/46.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))))),
% 73.29/46.52 inference(monotonicity,[status(thm)],[21240])).
% 73.29/46.52 tff(21242,plain,
% 73.29/46.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 73.29/46.52 inference(transitivity,[status(thm)],[21241, 21239])).
% 73.29/46.52 tff(21243,plain,
% 73.29/46.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))),
% 73.29/46.52 inference(quant_inst,[status(thm)],[])).
% 73.29/46.52 tff(21244,plain,
% 73.29/46.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21243, 21242])).
% 73.38/46.53 tff(21245,plain,
% 73.38/46.53 ((~v90(constB132, bitIndex1)) | (~v100(constB132))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21244, 728, 21238])).
% 73.38/46.53 tff(21246,plain,
% 73.38/46.53 (~v90(constB132, bitIndex1)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21245, 21172])).
% 73.38/46.53 tff(21247,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21248,plain,
% 73.38/46.53 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21249,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21248])).
% 73.38/46.53 tff(21250,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21249, 21247])).
% 73.38/46.53 tff(21251,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21252,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21251, 21250])).
% 73.38/46.53 tff(21253,plain,
% 73.38/46.53 (v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21252, 341, 21200])).
% 73.38/46.53 tff(21254,plain,
% 73.38/46.53 (v90(constB132, bitIndex1) | (~v90(constB133, bitIndex1))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21253, 21212])).
% 73.38/46.53 tff(21255,plain,
% 73.38/46.53 (~v90(constB133, bitIndex1)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21254, 21246])).
% 73.38/46.53 tff(21256,plain,
% 73.38/46.53 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21257,plain,
% 73.38/46.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21258,plain,
% 73.38/46.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 73.38/46.53 tff(21259,plain,
% 73.38/46.53 (~v130(constB131, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21258, 2182, 21100])).
% 73.38/46.53 tff(21260,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21261,plain,
% 73.38/46.53 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21262,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21261])).
% 73.38/46.53 tff(21263,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21262, 21260])).
% 73.38/46.53 tff(21264,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21265,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 73.38/46.53 tff(21266,plain,
% 73.38/46.53 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21265, 769, 21120])).
% 73.38/46.53 tff(21267,plain,
% 73.38/46.53 (~v127(constB131, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21266, 21259])).
% 73.38/46.53 tff(21268,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21269,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21270,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 73.38/46.53 tff(21271,plain,
% 73.38/46.53 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21270, 787, 21132])).
% 73.38/46.53 tff(21272,plain,
% 73.38/46.53 (~v129(constB132, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21271, 21267])).
% 73.38/46.53 tff(21273,plain,
% 73.38/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21274,plain,
% 73.38/46.53 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21275,plain,
% 73.38/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21274])).
% 73.38/46.53 tff(21276,plain,
% 73.38/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21275, 21273])).
% 73.38/46.53 tff(21277,plain,
% 73.38/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21278,plain,
% 73.38/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 73.38/46.53 tff(21279,plain,
% 73.38/46.53 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21278, 802, 21272])).
% 73.38/46.53 tff(21280,plain,
% 73.38/46.53 (~v90(constB132, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21279, 21172])).
% 73.38/46.53 tff(21281,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21282,plain,
% 73.38/46.53 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21283,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21282])).
% 73.38/46.53 tff(21284,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21283, 21281])).
% 73.38/46.53 tff(21285,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21286,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 73.38/46.53 tff(21287,plain,
% 73.38/46.53 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21286, 362, 21200])).
% 73.38/46.53 tff(21288,plain,
% 73.38/46.53 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21287, 21212])).
% 73.38/46.53 tff(21289,plain,
% 73.38/46.53 (~v90(constB133, bitIndex0)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21288, 21280])).
% 73.38/46.53 tff(21290,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21291,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21292,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 73.38/46.53 tff(21293,plain,
% 73.38/46.53 (v123(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21292, 829, 21289, 21255, 21221])).
% 73.38/46.53 tff(21294,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB133) | (~v123(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21295,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB133) | (~v123(constB133)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21296,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB133) | (~v123(constB133))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21295, 21294])).
% 73.38/46.53 tff(21297,plain,
% 73.38/46.53 (v115(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21296, 840, 21293])).
% 73.38/46.53 tff(21298,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB133) | (~v115(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21299,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB133) | (~v115(constB133)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21300,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB133) | (~v115(constB133))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 73.38/46.53 tff(21301,plain,
% 73.38/46.53 (v114(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21300, 438, 21297])).
% 73.38/46.53 tff(21302,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB133) | (~v114(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21303,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB133) | (~v114(constB133)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21304,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB133) | (~v114(constB133))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21303, 21302])).
% 73.38/46.53 tff(21305,plain,
% 73.38/46.53 (v113(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21304, 449, 21301])).
% 73.38/46.53 tff(21306,assumption,(v26(constB133)), introduced(assumption)).
% 73.38/46.53 tff(21307,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21308,plain,
% 73.38/46.53 ($false),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21307, 26, 21306])).
% 73.38/46.53 tff(21309,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.53 tff(21310,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21311,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21312,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 73.38/46.53 tff(21313,plain,
% 73.38/46.53 ((~v113(constB133)) | v112(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21312, 463, 21309])).
% 73.38/46.53 tff(21314,plain,
% 73.38/46.53 (v112(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21313, 21305])).
% 73.38/46.53 tff(21315,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21316,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21317,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 73.38/46.53 tff(21318,plain,
% 73.38/46.53 (v108(constB133)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21317, 475, 21314])).
% 73.38/46.53 tff(21319,plain,
% 73.38/46.53 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21320,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 73.38/46.53 tff(21321,plain,
% 73.38/46.53 (nextState(constB133, constB134)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21320, 21319])).
% 73.38/46.53 tff(21322,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21323,plain,
% 73.38/46.53 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21324,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21323])).
% 73.38/46.53 tff(21325,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21324, 21322])).
% 73.38/46.53 tff(21326,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21327,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 73.38/46.53 tff(21328,plain,
% 73.38/46.53 (v110(constB134) | (~v108(constB133))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21327, 492, 21321])).
% 73.38/46.53 tff(21329,plain,
% 73.38/46.53 (v110(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21328, 21318])).
% 73.38/46.53 tff(21330,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21331,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21332,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 73.38/46.53 tff(21333,plain,
% 73.38/46.53 (~v104(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21332, 510, 21321, 21197])).
% 73.38/46.53 tff(21334,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21335,plain,
% 73.38/46.53 (((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21336,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21335])).
% 73.38/46.53 tff(21337,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21336, 21334])).
% 73.38/46.53 tff(21338,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21339,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 73.38/46.53 tff(21340,plain,
% 73.38/46.53 (v104(constB134) | v102(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21339, 524, 21321])).
% 73.38/46.53 tff(21341,plain,
% 73.38/46.53 (v102(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21340, 21333])).
% 73.38/46.53 tff(21342,plain,
% 73.38/46.53 (v1(constB134) <=> v1(constB134)),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21343,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 73.38/46.53 tff(21344,plain,
% 73.38/46.53 (v1(constB134)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 73.38/46.53 tff(21345,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21346,plain,
% 73.38/46.53 (((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))) <=> ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21347,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21346])).
% 73.38/46.53 tff(21348,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21347, 21345])).
% 73.38/46.53 tff(21349,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21350,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 73.38/46.53 tff(21351,plain,
% 73.38/46.53 (v101(constB134) | (~v102(constB134))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21350, 545, 21321, 21344])).
% 73.38/46.53 tff(21352,plain,
% 73.38/46.53 (v101(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21351, 21341])).
% 73.38/46.53 tff(21353,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21354,plain,
% 73.38/46.53 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21355,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 73.38/46.53 inference(monotonicity,[status(thm)],[21354])).
% 73.38/46.53 tff(21356,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.38/46.53 inference(transitivity,[status(thm)],[21355, 21353])).
% 73.38/46.53 tff(21357,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21358,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 73.38/46.53 tff(21359,plain,
% 73.38/46.53 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21358, 563, 21321])).
% 73.38/46.53 tff(21360,plain,
% 73.38/46.53 (v100(constB134) | (~v110(constB134))),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21359, 21352])).
% 73.38/46.53 tff(21361,plain,
% 73.38/46.53 (v100(constB134)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21360, 21329])).
% 73.38/46.53 tff(21362,plain,
% 73.38/46.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21363,plain,
% 73.38/46.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21364,plain,
% 73.38/46.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21363, 21362])).
% 73.38/46.53 tff(21365,plain,
% 73.38/46.53 (v130(constB133, bitIndex2)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21364, 917, 21293])).
% 73.38/46.53 tff(21366,plain,
% 73.38/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21367,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21368,plain,
% 73.38/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21367, 21366])).
% 73.38/46.53 tff(21369,plain,
% 73.38/46.53 ((~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21368, 596, 21309])).
% 73.38/46.53 tff(21370,plain,
% 73.38/46.53 (v127(constB133, bitIndex2)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21369, 21365])).
% 73.38/46.53 tff(21371,plain,
% 73.38/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 73.38/46.53 inference(rewrite,[status(thm)],[])).
% 73.38/46.53 tff(21372,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 73.38/46.53 inference(quant_inst,[status(thm)],[])).
% 73.38/46.53 tff(21373,plain,
% 73.38/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 73.38/46.53 inference(modus_ponens,[status(thm)],[21372, 21371])).
% 73.38/46.53 tff(21374,plain,
% 73.38/46.53 ((~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 73.38/46.53 inference(unit_resolution,[status(thm)],[21373, 611, 21321])).
% 73.38/46.53 tff(21375,plain,
% 73.38/46.53 (v129(constB134, bitIndex2)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21374, 21370])).
% 73.38/46.54 tff(21376,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21377,plain,
% 73.38/46.54 ((v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21378,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21377])).
% 73.38/46.54 tff(21379,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21378, 21376])).
% 73.38/46.54 tff(21380,plain,
% 73.38/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21381,plain,
% 73.38/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 73.38/46.54 tff(21382,plain,
% 73.38/46.54 (v90(constB134, bitIndex2) | (~v100(constB134))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21381, 626, 21375])).
% 73.38/46.54 tff(21383,plain,
% 73.38/46.54 (v90(constB134, bitIndex2)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21382, 21361])).
% 73.38/46.54 tff(21384,plain,
% 73.38/46.54 ((~v1(constB135)) <=> (~v1(constB135))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21385,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 73.38/46.54 tff(21386,plain,
% 73.38/46.54 (~v1(constB135)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 73.38/46.54 tff(21387,plain,
% 73.38/46.54 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21388,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 73.38/46.54 tff(21389,plain,
% 73.38/46.54 (nextState(constB134, constB135)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21388, 21387])).
% 73.38/46.54 tff(21390,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21391,plain,
% 73.38/46.54 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21392,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21391])).
% 73.38/46.54 tff(21393,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21392, 21390])).
% 73.38/46.54 tff(21394,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21395,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 73.38/46.54 tff(21396,plain,
% 73.38/46.54 (~v101(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21395, 288, 21389, 21386])).
% 73.38/46.54 tff(21397,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21398,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21399,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21398, 21397])).
% 73.38/46.54 tff(21400,plain,
% 73.38/46.54 (v101(constB135) | (~v100(constB135))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21399, 305, 21389])).
% 73.38/46.54 tff(21401,plain,
% 73.38/46.54 (~v100(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21400, 21396])).
% 73.38/46.54 tff(21402,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21403,plain,
% 73.38/46.54 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21404,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21403])).
% 73.38/46.54 tff(21405,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21404, 21402])).
% 73.38/46.54 tff(21406,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21407,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21406, 21405])).
% 73.38/46.54 tff(21408,plain,
% 73.38/46.54 ((~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21407, 662, 21389])).
% 73.38/46.54 tff(21409,plain,
% 73.38/46.54 ((~v90(constB134, bitIndex2)) | v90(constB135, bitIndex2)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21408, 21401])).
% 73.38/46.54 tff(21410,plain,
% 73.38/46.54 (v90(constB135, bitIndex2)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21409, 21383])).
% 73.38/46.54 tff(21411,plain,
% 73.38/46.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21412,plain,
% 73.38/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21413,plain,
% 73.38/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 73.38/46.54 tff(21414,plain,
% 73.38/46.54 (v130(constB133, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21413, 976, 21293])).
% 73.38/46.54 tff(21415,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21416,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21417,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 73.38/46.54 tff(21418,plain,
% 73.38/46.54 ((~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21417, 990, 21309])).
% 73.38/46.54 tff(21419,plain,
% 73.38/46.54 (v127(constB133, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21418, 21414])).
% 73.38/46.54 tff(21420,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21421,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21422,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21421, 21420])).
% 73.38/46.54 tff(21423,plain,
% 73.38/46.54 ((~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21422, 1005, 21321])).
% 73.38/46.54 tff(21424,plain,
% 73.38/46.54 (v129(constB134, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21423, 21419])).
% 73.38/46.54 tff(21425,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21426,plain,
% 73.38/46.54 ((v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21427,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21426])).
% 73.38/46.54 tff(21428,plain,
% 73.38/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21427, 21425])).
% 73.38/46.54 tff(21429,plain,
% 73.38/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21430,plain,
% 73.38/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 73.38/46.54 tff(21431,plain,
% 73.38/46.54 (v90(constB134, bitIndex1) | (~v100(constB134))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21430, 1020, 21424])).
% 73.38/46.54 tff(21432,plain,
% 73.38/46.54 (v90(constB134, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21431, 21361])).
% 73.38/46.54 tff(21433,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21434,plain,
% 73.38/46.54 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21435,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21434])).
% 73.38/46.54 tff(21436,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21435, 21433])).
% 73.38/46.54 tff(21437,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21438,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21437, 21436])).
% 73.38/46.54 tff(21439,plain,
% 73.38/46.54 ((~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21438, 1038, 21389])).
% 73.38/46.54 tff(21440,plain,
% 73.38/46.54 ((~v90(constB134, bitIndex1)) | v90(constB135, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21439, 21401])).
% 73.38/46.54 tff(21441,plain,
% 73.38/46.54 (v90(constB135, bitIndex1)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21440, 21432])).
% 73.38/46.54 tff(21442,plain,
% 73.38/46.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21443,plain,
% 73.38/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21444,plain,
% 73.38/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21443, 21442])).
% 73.38/46.54 tff(21445,plain,
% 73.38/46.54 (~v130(constB133, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21444, 1057, 21293])).
% 73.38/46.54 tff(21446,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21447,plain,
% 73.38/46.54 ((v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0))) <=> ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21448,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21447])).
% 73.38/46.54 tff(21449,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21448, 21446])).
% 73.38/46.54 tff(21450,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21451,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21450, 21449])).
% 73.38/46.54 tff(21452,plain,
% 73.38/46.54 ((~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21451, 769, 21309])).
% 73.38/46.54 tff(21453,plain,
% 73.38/46.54 (~v127(constB133, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21452, 21445])).
% 73.38/46.54 tff(21454,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21455,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21456,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 73.38/46.54 tff(21457,plain,
% 73.38/46.54 (v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21456, 787, 21321])).
% 73.38/46.54 tff(21458,plain,
% 73.38/46.54 (~v129(constB134, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21457, 21453])).
% 73.38/46.54 tff(21459,plain,
% 73.38/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21460,plain,
% 73.38/46.54 (((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21461,plain,
% 73.38/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21460])).
% 73.38/46.54 tff(21462,plain,
% 73.38/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21461, 21459])).
% 73.38/46.54 tff(21463,plain,
% 73.38/46.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21464,plain,
% 73.38/46.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21463, 21462])).
% 73.38/46.54 tff(21465,plain,
% 73.38/46.54 ((~v90(constB134, bitIndex0)) | (~v100(constB134))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21464, 802, 21458])).
% 73.38/46.54 tff(21466,plain,
% 73.38/46.54 (~v90(constB134, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21465, 21361])).
% 73.38/46.54 tff(21467,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21468,plain,
% 73.38/46.54 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21469,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21468])).
% 73.38/46.54 tff(21470,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21469, 21467])).
% 73.38/46.54 tff(21471,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21472,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 73.38/46.54 tff(21473,plain,
% 73.38/46.54 (v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21472, 362, 21389])).
% 73.38/46.54 tff(21474,plain,
% 73.38/46.54 (v90(constB134, bitIndex0) | (~v90(constB135, bitIndex0))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21473, 21401])).
% 73.38/46.54 tff(21475,plain,
% 73.38/46.54 (~v90(constB135, bitIndex0)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21474, 21466])).
% 73.38/46.54 tff(21476,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21477,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21478,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21477, 21476])).
% 73.38/46.54 tff(21479,plain,
% 73.38/46.54 (v125(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21478, 1101, 21475, 21441, 21410])).
% 73.38/46.54 tff(21480,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21481,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21482,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21481, 21480])).
% 73.38/46.54 tff(21483,plain,
% 73.38/46.54 (v113(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21482, 1112, 21479])).
% 73.38/46.54 tff(21484,assumption,(v26(constB135)), introduced(assumption)).
% 73.38/46.54 tff(21485,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21486,plain,
% 73.38/46.54 ($false),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21485, 26, 21484])).
% 73.38/46.54 tff(21487,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.54 tff(21488,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21489,plain,
% 73.38/46.54 ((v26(constB135) | (~v113(constB135)) | v112(constB135)) <=> (v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21490,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21489])).
% 73.38/46.54 tff(21491,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21490, 21488])).
% 73.38/46.54 tff(21492,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21493,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 73.38/46.54 tff(21494,plain,
% 73.38/46.54 (v112(constB135) | (~v113(constB135))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21493, 463, 21487])).
% 73.38/46.54 tff(21495,plain,
% 73.38/46.54 (v112(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21494, 21483])).
% 73.38/46.54 tff(21496,plain,
% 73.38/46.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21497,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21498,plain,
% 73.38/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 73.38/46.54 tff(21499,plain,
% 73.38/46.54 (v108(constB135)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21498, 475, 21495])).
% 73.38/46.54 tff(21500,plain,
% 73.38/46.54 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21501,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 73.38/46.54 tff(21502,plain,
% 73.38/46.54 (nextState(constB135, constB136)),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21501, 21500])).
% 73.38/46.54 tff(21503,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21504,plain,
% 73.38/46.54 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21505,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 73.38/46.54 inference(monotonicity,[status(thm)],[21504])).
% 73.38/46.54 tff(21506,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.38/46.54 inference(transitivity,[status(thm)],[21505, 21503])).
% 73.38/46.54 tff(21507,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21508,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21507, 21506])).
% 73.38/46.54 tff(21509,plain,
% 73.38/46.54 (v110(constB136) | (~v108(constB135))),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21508, 492, 21502])).
% 73.38/46.54 tff(21510,plain,
% 73.38/46.54 (v110(constB136)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21509, 21499])).
% 73.38/46.54 tff(21511,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 73.38/46.54 inference(rewrite,[status(thm)],[])).
% 73.38/46.54 tff(21512,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 73.38/46.54 inference(quant_inst,[status(thm)],[])).
% 73.38/46.54 tff(21513,plain,
% 73.38/46.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 73.38/46.54 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 73.38/46.54 tff(21514,plain,
% 73.38/46.54 (~v104(constB136)),
% 73.38/46.54 inference(unit_resolution,[status(thm)],[21513, 510, 21502, 21386])).
% 73.38/46.54 tff(21515,plain,
% 73.38/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21516,plain,
% 73.38/46.55 (((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21517,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21516])).
% 73.38/46.55 tff(21518,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21517, 21515])).
% 73.38/46.55 tff(21519,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21520,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 73.38/46.55 tff(21521,plain,
% 73.38/46.55 (v104(constB136) | v102(constB136)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21520, 524, 21502])).
% 73.38/46.55 tff(21522,plain,
% 73.38/46.55 (v102(constB136)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21521, 21514])).
% 73.38/46.55 tff(21523,plain,
% 73.38/46.55 (v1(constB136) <=> v1(constB136)),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21524,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 73.38/46.55 tff(21525,plain,
% 73.38/46.55 (v1(constB136)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 73.38/46.55 tff(21526,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21527,plain,
% 73.38/46.55 (((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))) <=> ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21528,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21527])).
% 73.38/46.55 tff(21529,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21528, 21526])).
% 73.38/46.55 tff(21530,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21531,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 73.38/46.55 tff(21532,plain,
% 73.38/46.55 (v101(constB136) | (~v102(constB136))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21531, 545, 21502, 21525])).
% 73.38/46.55 tff(21533,plain,
% 73.38/46.55 (v101(constB136)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21532, 21522])).
% 73.38/46.55 tff(21534,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21535,plain,
% 73.38/46.55 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21536,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21535])).
% 73.38/46.55 tff(21537,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21536, 21534])).
% 73.38/46.55 tff(21538,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21539,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21538, 21537])).
% 73.38/46.55 tff(21540,plain,
% 73.38/46.55 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21539, 563, 21502])).
% 73.38/46.55 tff(21541,plain,
% 73.38/46.55 (v100(constB136) | (~v110(constB136))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21540, 21533])).
% 73.38/46.55 tff(21542,plain,
% 73.38/46.55 (v100(constB136)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21541, 21510])).
% 73.38/46.55 tff(21543,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v121(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v121(constB135)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21544,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v121(constB135)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21545,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v121(constB135))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21544, 21543])).
% 73.38/46.55 tff(21546,plain,
% 73.38/46.55 (~v121(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21545, 1182, 21410])).
% 73.38/46.55 tff(21547,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v122(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v122(constB135)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21548,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v122(constB135)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21549,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v122(constB135))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 73.38/46.55 tff(21550,plain,
% 73.38/46.55 (~v122(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21549, 1193, 21410])).
% 73.38/46.55 tff(21551,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v120(constB135)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21552,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v120(constB135)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21553,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v120(constB135))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 73.38/46.55 tff(21554,plain,
% 73.38/46.55 (~v120(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21553, 1240, 21441])).
% 73.38/46.55 tff(21555,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v124(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v124(constB135)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21556,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v124(constB135)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21557,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v124(constB135))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 73.38/46.55 tff(21558,plain,
% 73.38/46.55 (~v124(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21557, 1229, 21441])).
% 73.38/46.55 tff(21559,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v123(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v123(constB135)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21560,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v123(constB135)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21561,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v123(constB135))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 73.38/46.55 tff(21562,plain,
% 73.38/46.55 (~v123(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21561, 1218, 21441])).
% 73.38/46.55 tff(21563,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21564,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21565,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21564, 21563])).
% 73.38/46.55 tff(21566,plain,
% 73.38/46.55 (~v119(constB135)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21565, 1207, 21441])).
% 73.38/46.55 tff(21567,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21568,plain,
% 73.38/46.55 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1))) <=> ((~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21569,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21568])).
% 73.38/46.55 tff(21570,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21569, 21567])).
% 73.38/46.55 tff(21571,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21572,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB135, bitIndex1)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 73.38/46.55 tff(21573,plain,
% 73.38/46.55 (~v130(constB135, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21572, 1349, 21566, 21562, 21558, 21554, 21550, 21546])).
% 73.38/46.55 tff(21574,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21575,plain,
% 73.38/46.55 ((v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1))) <=> ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21576,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21575])).
% 73.38/46.55 tff(21577,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21576, 21574])).
% 73.38/46.55 tff(21578,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21579,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21578, 21577])).
% 73.38/46.55 tff(21580,plain,
% 73.38/46.55 ((~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21579, 695, 21487])).
% 73.38/46.55 tff(21581,plain,
% 73.38/46.55 (~v127(constB135, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21580, 21573])).
% 73.38/46.55 tff(21582,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21583,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21584,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21583, 21582])).
% 73.38/46.55 tff(21585,plain,
% 73.38/46.55 (v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21584, 713, 21502])).
% 73.38/46.55 tff(21586,plain,
% 73.38/46.55 (~v129(constB136, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21585, 21581])).
% 73.38/46.55 tff(21587,plain,
% 73.38/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21588,plain,
% 73.38/46.55 (((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21589,plain,
% 73.38/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21588])).
% 73.38/46.55 tff(21590,plain,
% 73.38/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21589, 21587])).
% 73.38/46.55 tff(21591,plain,
% 73.38/46.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21592,plain,
% 73.38/46.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21591, 21590])).
% 73.38/46.55 tff(21593,plain,
% 73.38/46.55 ((~v90(constB136, bitIndex1)) | (~v100(constB136))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21592, 728, 21586])).
% 73.38/46.55 tff(21594,plain,
% 73.38/46.55 (~v90(constB136, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21593, 21542])).
% 73.38/46.55 tff(21595,plain,
% 73.38/46.55 ((~v1(constB137)) <=> (~v1(constB137))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21596,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 73.38/46.55 tff(21597,plain,
% 73.38/46.55 (~v1(constB137)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 73.38/46.55 tff(21598,plain,
% 73.38/46.55 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21599,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 73.38/46.55 tff(21600,plain,
% 73.38/46.55 (nextState(constB136, constB137)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 73.38/46.55 tff(21601,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21602,plain,
% 73.38/46.55 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21603,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21602])).
% 73.38/46.55 tff(21604,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21603, 21601])).
% 73.38/46.55 tff(21605,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21606,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21605, 21604])).
% 73.38/46.55 tff(21607,plain,
% 73.38/46.55 (~v101(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21606, 288, 21600, 21597])).
% 73.38/46.55 tff(21608,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21609,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21610,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 73.38/46.55 tff(21611,plain,
% 73.38/46.55 (v101(constB137) | (~v100(constB137))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21610, 305, 21600])).
% 73.38/46.55 tff(21612,plain,
% 73.38/46.55 (~v100(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21611, 21607])).
% 73.38/46.55 tff(21613,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21614,plain,
% 73.38/46.55 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21615,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))))),
% 73.38/46.55 inference(monotonicity,[status(thm)],[21614])).
% 73.38/46.55 tff(21616,plain,
% 73.38/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 73.38/46.55 inference(transitivity,[status(thm)],[21615, 21613])).
% 73.38/46.55 tff(21617,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21618,plain,
% 73.38/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 73.38/46.55 tff(21619,plain,
% 73.38/46.55 (v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21618, 341, 21600])).
% 73.38/46.55 tff(21620,plain,
% 73.38/46.55 (v90(constB136, bitIndex1) | (~v90(constB137, bitIndex1))),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21619, 21612])).
% 73.38/46.55 tff(21621,plain,
% 73.38/46.55 (~v90(constB137, bitIndex1)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21620, 21594])).
% 73.38/46.55 tff(21622,assumption,(~v114(constB137)), introduced(assumption)).
% 73.38/46.55 tff(21623,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21624,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21625,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 73.38/46.55 tff(21626,plain,
% 73.38/46.55 (~v115(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21625, 438, 21622])).
% 73.38/46.55 tff(21627,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21628,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21629,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 73.38/46.55 tff(21630,plain,
% 73.38/46.55 (~v116(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21629, 427, 21626])).
% 73.38/46.55 tff(21631,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21632,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21633,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21632, 21631])).
% 73.38/46.55 tff(21634,plain,
% 73.38/46.55 (~v117(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21633, 416, 21630])).
% 73.38/46.55 tff(21635,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21636,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21637,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 73.38/46.55 tff(21638,plain,
% 73.38/46.55 (~v118(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21637, 405, 21634])).
% 73.38/46.55 tff(21639,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21640,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21641,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21640, 21639])).
% 73.38/46.55 tff(21642,plain,
% 73.38/46.55 (~v120(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21641, 1494, 21638])).
% 73.38/46.55 tff(21643,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB137) | (~v123(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB137) | (~v123(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21644,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB137) | (~v123(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21645,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB137) | (~v123(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 73.38/46.55 tff(21646,plain,
% 73.38/46.55 (~v123(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21645, 840, 21626])).
% 73.38/46.55 tff(21647,assumption,(~v90(constB137, bitIndex1)), introduced(assumption)).
% 73.38/46.55 tff(21648,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB137) | (~v119(constB137)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB137) | (~v119(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21649,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB137) | (~v119(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21650,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB137) | (~v119(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 73.38/46.55 tff(21651,plain,
% 73.38/46.55 (~v119(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21650, 394, 21638])).
% 73.38/46.55 tff(21652,assumption,(~v119(constB137)), introduced(assumption)).
% 73.38/46.55 tff(21653,assumption,(~v90(constB137, bitIndex0)), introduced(assumption)).
% 73.38/46.55 tff(21654,assumption,(~v123(constB137)), introduced(assumption)).
% 73.38/46.55 tff(21655,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21656,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21657,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 73.38/46.55 tff(21658,plain,
% 73.38/46.55 (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex2)) | v123(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21657, 829, 21647])).
% 73.38/46.55 tff(21659,plain,
% 73.38/46.55 (~v90(constB137, bitIndex2)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21658, 21653, 21654])).
% 73.38/46.55 tff(21660,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21661,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21662,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 73.38/46.55 tff(21663,plain,
% 73.38/46.55 (v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex2)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21662, 383, 21647])).
% 73.38/46.55 tff(21664,plain,
% 73.38/46.55 ($false),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21663, 21659, 21653, 21652])).
% 73.38/46.55 tff(21665,plain,(v90(constB137, bitIndex0) | v119(constB137) | v90(constB137, bitIndex1) | v123(constB137)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.55 tff(21666,plain,
% 73.38/46.55 (v90(constB137, bitIndex0)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21665, 21651, 21647, 21646])).
% 73.38/46.55 tff(21667,plain,
% 73.38/46.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB137) | (~v124(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB137) | (~v124(constB137)))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21668,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB137) | (~v124(constB137)))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21669,plain,
% 73.38/46.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB137) | (~v124(constB137))),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 73.38/46.55 tff(21670,plain,
% 73.38/46.55 (~v124(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21669, 3631, 21622])).
% 73.38/46.55 tff(21671,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))),
% 73.38/46.55 inference(rewrite,[status(thm)],[])).
% 73.38/46.55 tff(21672,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))),
% 73.38/46.55 inference(quant_inst,[status(thm)],[])).
% 73.38/46.55 tff(21673,plain,
% 73.38/46.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137)),
% 73.38/46.55 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 73.38/46.55 tff(21674,plain,
% 73.38/46.55 ((~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex2)) | v124(constB137)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21673, 3620, 21647])).
% 73.38/46.55 tff(21675,plain,
% 73.38/46.55 (~v90(constB137, bitIndex2)),
% 73.38/46.55 inference(unit_resolution,[status(thm)],[21674, 21666, 21670])).
% 73.38/46.55 tff(21676,plain,
% 73.38/46.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21677,plain,
% 73.38/46.56 (((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)) <=> ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21678,plain,
% 73.38/46.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21677])).
% 73.38/46.56 tff(21679,plain,
% 73.38/46.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21678, 21676])).
% 73.38/46.56 tff(21680,plain,
% 73.38/46.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21681,plain,
% 73.38/46.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 73.38/46.56 tff(21682,plain,
% 73.38/46.56 ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex2) | v120(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21681, 1480, 21647])).
% 73.38/46.56 tff(21683,plain,
% 73.38/46.56 ($false),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21682, 21675, 21666, 21642])).
% 73.38/46.56 tff(21684,plain,(v114(constB137) | v90(constB137, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.56 tff(21685,plain,
% 73.38/46.56 (v114(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21684, 21621])).
% 73.38/46.56 tff(21686,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21687,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21688,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 73.38/46.56 tff(21689,plain,
% 73.38/46.56 (v113(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21688, 449, 21685])).
% 73.38/46.56 tff(21690,assumption,(v26(constB137)), introduced(assumption)).
% 73.38/46.56 tff(21691,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21692,plain,
% 73.38/46.56 ($false),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21691, 26, 21690])).
% 73.38/46.56 tff(21693,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.56 tff(21694,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21695,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21696,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21695, 21694])).
% 73.38/46.56 tff(21697,plain,
% 73.38/46.56 ((~v113(constB137)) | v112(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21696, 463, 21693])).
% 73.38/46.56 tff(21698,plain,
% 73.38/46.56 (v112(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21697, 21689])).
% 73.38/46.56 tff(21699,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21700,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21701,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 73.38/46.56 tff(21702,plain,
% 73.38/46.56 (v108(constB137)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21701, 475, 21698])).
% 73.38/46.56 tff(21703,plain,
% 73.38/46.56 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21704,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 73.38/46.56 tff(21705,plain,
% 73.38/46.56 (nextState(constB137, constB138)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 73.38/46.56 tff(21706,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21707,plain,
% 73.38/46.56 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21708,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21707])).
% 73.38/46.56 tff(21709,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21708, 21706])).
% 73.38/46.56 tff(21710,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21711,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 73.38/46.56 tff(21712,plain,
% 73.38/46.56 (v110(constB138) | (~v108(constB137))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21711, 492, 21705])).
% 73.38/46.56 tff(21713,plain,
% 73.38/46.56 (v110(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21712, 21702])).
% 73.38/46.56 tff(21714,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21715,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21716,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 73.38/46.56 tff(21717,plain,
% 73.38/46.56 (~v104(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21716, 510, 21705, 21597])).
% 73.38/46.56 tff(21718,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21719,plain,
% 73.38/46.56 (((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21720,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21719])).
% 73.38/46.56 tff(21721,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21720, 21718])).
% 73.38/46.56 tff(21722,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21723,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 73.38/46.56 tff(21724,plain,
% 73.38/46.56 (v104(constB138) | v102(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21723, 524, 21705])).
% 73.38/46.56 tff(21725,plain,
% 73.38/46.56 (v102(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21724, 21717])).
% 73.38/46.56 tff(21726,plain,
% 73.38/46.56 (v1(constB138) <=> v1(constB138)),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21727,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 73.38/46.56 tff(21728,plain,
% 73.38/46.56 (v1(constB138)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21727, 21726])).
% 73.38/46.56 tff(21729,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21730,plain,
% 73.38/46.56 (((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))) <=> ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21731,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21730])).
% 73.38/46.56 tff(21732,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21731, 21729])).
% 73.38/46.56 tff(21733,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21734,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 73.38/46.56 tff(21735,plain,
% 73.38/46.56 (v101(constB138) | (~v102(constB138))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21734, 545, 21705, 21728])).
% 73.38/46.56 tff(21736,plain,
% 73.38/46.56 (v101(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21735, 21725])).
% 73.38/46.56 tff(21737,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21738,plain,
% 73.38/46.56 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21739,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21738])).
% 73.38/46.56 tff(21740,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21739, 21737])).
% 73.38/46.56 tff(21741,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21742,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 73.38/46.56 tff(21743,plain,
% 73.38/46.56 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21742, 563, 21705])).
% 73.38/46.56 tff(21744,plain,
% 73.38/46.56 (v100(constB138) | (~v110(constB138))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21743, 21736])).
% 73.38/46.56 tff(21745,plain,
% 73.38/46.56 (v100(constB138)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21744, 21713])).
% 73.38/46.56 tff(21746,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21747,plain,
% 73.38/46.56 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2))) <=> ((~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21748,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21747])).
% 73.38/46.56 tff(21749,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21748, 21746])).
% 73.38/46.56 tff(21750,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21751,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB135, bitIndex2)) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21750, 21749])).
% 73.38/46.56 tff(21752,plain,
% 73.38/46.56 (~v130(constB135, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21751, 1254, 21566, 21562, 21558, 21554, 21550, 21546])).
% 73.38/46.56 tff(21753,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21754,plain,
% 73.38/46.56 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21755,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21754])).
% 73.38/46.56 tff(21756,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21755, 21753])).
% 73.38/46.56 tff(21757,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21758,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21757, 21756])).
% 73.38/46.56 tff(21759,plain,
% 73.38/46.56 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21758, 1271, 21487])).
% 73.38/46.56 tff(21760,plain,
% 73.38/46.56 (~v127(constB135, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21759, 21752])).
% 73.38/46.56 tff(21761,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21762,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21763,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21762, 21761])).
% 73.38/46.56 tff(21764,plain,
% 73.38/46.56 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21763, 1289, 21502])).
% 73.38/46.56 tff(21765,plain,
% 73.38/46.56 (~v129(constB136, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21764, 21760])).
% 73.38/46.56 tff(21766,plain,
% 73.38/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21767,plain,
% 73.38/46.56 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21768,plain,
% 73.38/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21767])).
% 73.38/46.56 tff(21769,plain,
% 73.38/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21768, 21766])).
% 73.38/46.56 tff(21770,plain,
% 73.38/46.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21771,plain,
% 73.38/46.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21770, 21769])).
% 73.38/46.56 tff(21772,plain,
% 73.38/46.56 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21771, 1304, 21765])).
% 73.38/46.56 tff(21773,plain,
% 73.38/46.56 (~v90(constB136, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21772, 21542])).
% 73.38/46.56 tff(21774,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21775,plain,
% 73.38/46.56 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21776,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21775])).
% 73.38/46.56 tff(21777,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21776, 21774])).
% 73.38/46.56 tff(21778,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21779,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 73.38/46.56 tff(21780,plain,
% 73.38/46.56 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21779, 320, 21600])).
% 73.38/46.56 tff(21781,plain,
% 73.38/46.56 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21780, 21612])).
% 73.38/46.56 tff(21782,plain,
% 73.38/46.56 (~v90(constB137, bitIndex2)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21781, 21773])).
% 73.38/46.56 tff(21783,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21784,plain,
% 73.38/46.56 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0)) <=> (v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21785,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21784])).
% 73.38/46.56 tff(21786,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21785, 21783])).
% 73.38/46.56 tff(21787,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21788,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB135, bitIndex0) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 73.38/46.56 tff(21789,plain,
% 73.38/46.56 (v130(constB135, bitIndex0)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21788, 1396, 21566, 21562, 21558, 21554, 21550, 21546])).
% 73.38/46.56 tff(21790,plain,
% 73.38/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21791,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21792,plain,
% 73.38/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21791, 21790])).
% 73.38/46.56 tff(21793,plain,
% 73.38/46.56 ((~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21792, 1413, 21487])).
% 73.38/46.56 tff(21794,plain,
% 73.38/46.56 (v127(constB135, bitIndex0)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21793, 21789])).
% 73.38/46.56 tff(21795,plain,
% 73.38/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21796,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21797,plain,
% 73.38/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 73.38/46.56 inference(modus_ponens,[status(thm)],[21796, 21795])).
% 73.38/46.56 tff(21798,plain,
% 73.38/46.56 ((~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21797, 1428, 21502])).
% 73.38/46.56 tff(21799,plain,
% 73.38/46.56 (v129(constB136, bitIndex0)),
% 73.38/46.56 inference(unit_resolution,[status(thm)],[21798, 21794])).
% 73.38/46.56 tff(21800,plain,
% 73.38/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21801,plain,
% 73.38/46.56 ((v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.38/46.56 inference(rewrite,[status(thm)],[])).
% 73.38/46.56 tff(21802,plain,
% 73.38/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))))),
% 73.38/46.56 inference(monotonicity,[status(thm)],[21801])).
% 73.38/46.56 tff(21803,plain,
% 73.38/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.38/46.56 inference(transitivity,[status(thm)],[21802, 21800])).
% 73.38/46.56 tff(21804,plain,
% 73.38/46.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))),
% 73.38/46.56 inference(quant_inst,[status(thm)],[])).
% 73.38/46.56 tff(21805,plain,
% 73.38/46.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 73.38/46.57 tff(21806,plain,
% 73.38/46.57 (v90(constB136, bitIndex0) | (~v100(constB136))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21805, 1443, 21799])).
% 73.38/46.57 tff(21807,plain,
% 73.38/46.57 (v90(constB136, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21806, 21542])).
% 73.38/46.57 tff(21808,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21809,plain,
% 73.38/46.57 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21810,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21809])).
% 73.38/46.57 tff(21811,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21810, 21808])).
% 73.38/46.57 tff(21812,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21813,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21812, 21811])).
% 73.38/46.57 tff(21814,plain,
% 73.38/46.57 ((~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21813, 1461, 21600])).
% 73.38/46.57 tff(21815,plain,
% 73.38/46.57 ((~v90(constB136, bitIndex0)) | v90(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21814, 21612])).
% 73.38/46.57 tff(21816,plain,
% 73.38/46.57 (v90(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21815, 21807])).
% 73.38/46.57 tff(21817,plain,
% 73.38/46.57 (v120(constB137)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21681, 1480, 21816, 21621, 21782])).
% 73.38/46.57 tff(21818,plain,
% 73.38/46.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21819,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21820,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 73.38/46.57 tff(21821,plain,
% 73.38/46.57 (~v130(constB137, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21820, 1587, 21817])).
% 73.38/46.57 tff(21822,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21823,plain,
% 73.38/46.57 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21824,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21823])).
% 73.38/46.57 tff(21825,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21824, 21822])).
% 73.38/46.57 tff(21826,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21827,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 73.38/46.57 tff(21828,plain,
% 73.38/46.57 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21827, 1271, 21693])).
% 73.38/46.57 tff(21829,plain,
% 73.38/46.57 (~v127(constB137, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21828, 21821])).
% 73.38/46.57 tff(21830,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21831,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21832,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21831, 21830])).
% 73.38/46.57 tff(21833,plain,
% 73.38/46.57 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21832, 1289, 21705])).
% 73.38/46.57 tff(21834,plain,
% 73.38/46.57 (~v129(constB138, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21833, 21829])).
% 73.38/46.57 tff(21835,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21836,plain,
% 73.38/46.57 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21837,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21836])).
% 73.38/46.57 tff(21838,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21837, 21835])).
% 73.38/46.57 tff(21839,plain,
% 73.38/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21840,plain,
% 73.38/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21839, 21838])).
% 73.38/46.57 tff(21841,plain,
% 73.38/46.57 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21840, 1304, 21834])).
% 73.38/46.57 tff(21842,plain,
% 73.38/46.57 (~v90(constB138, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21841, 21745])).
% 73.38/46.57 tff(21843,plain,
% 73.38/46.57 ((~v1(constB139)) <=> (~v1(constB139))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21844,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 73.38/46.57 tff(21845,plain,
% 73.38/46.57 (~v1(constB139)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 73.38/46.57 tff(21846,plain,
% 73.38/46.57 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21847,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 73.38/46.57 tff(21848,plain,
% 73.38/46.57 (nextState(constB138, constB139)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21847, 21846])).
% 73.38/46.57 tff(21849,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21850,plain,
% 73.38/46.57 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21851,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21850])).
% 73.38/46.57 tff(21852,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21851, 21849])).
% 73.38/46.57 tff(21853,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21854,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 73.38/46.57 tff(21855,plain,
% 73.38/46.57 (~v101(constB139)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21854, 288, 21848, 21845])).
% 73.38/46.57 tff(21856,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21857,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21858,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 73.38/46.57 tff(21859,plain,
% 73.38/46.57 (v101(constB139) | (~v100(constB139))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21858, 305, 21848])).
% 73.38/46.57 tff(21860,plain,
% 73.38/46.57 (~v100(constB139)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21859, 21855])).
% 73.38/46.57 tff(21861,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21862,plain,
% 73.38/46.57 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21863,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21862])).
% 73.38/46.57 tff(21864,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21863, 21861])).
% 73.38/46.57 tff(21865,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21866,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 73.38/46.57 tff(21867,plain,
% 73.38/46.57 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21866, 320, 21848])).
% 73.38/46.57 tff(21868,plain,
% 73.38/46.57 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21867, 21860])).
% 73.38/46.57 tff(21869,plain,
% 73.38/46.57 (~v90(constB139, bitIndex2)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21868, 21842])).
% 73.38/46.57 tff(21870,plain,
% 73.38/46.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21871,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21872,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 73.38/46.57 tff(21873,plain,
% 73.38/46.57 (v130(constB137, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21872, 1649, 21817])).
% 73.38/46.57 tff(21874,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21875,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21876,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21875, 21874])).
% 73.38/46.57 tff(21877,plain,
% 73.38/46.57 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21876, 990, 21693])).
% 73.38/46.57 tff(21878,plain,
% 73.38/46.57 (v127(constB137, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21877, 21873])).
% 73.38/46.57 tff(21879,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21880,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21881,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21880, 21879])).
% 73.38/46.57 tff(21882,plain,
% 73.38/46.57 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21881, 1005, 21705])).
% 73.38/46.57 tff(21883,plain,
% 73.38/46.57 (v129(constB138, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21882, 21878])).
% 73.38/46.57 tff(21884,plain,
% 73.38/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21885,plain,
% 73.38/46.57 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21886,plain,
% 73.38/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21885])).
% 73.38/46.57 tff(21887,plain,
% 73.38/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21886, 21884])).
% 73.38/46.57 tff(21888,plain,
% 73.38/46.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21889,plain,
% 73.38/46.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21888, 21887])).
% 73.38/46.57 tff(21890,plain,
% 73.38/46.57 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21889, 1020, 21883])).
% 73.38/46.57 tff(21891,plain,
% 73.38/46.57 (v90(constB138, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21890, 21745])).
% 73.38/46.57 tff(21892,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21893,plain,
% 73.38/46.57 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21894,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21893])).
% 73.38/46.57 tff(21895,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21894, 21892])).
% 73.38/46.57 tff(21896,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21897,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21896, 21895])).
% 73.38/46.57 tff(21898,plain,
% 73.38/46.57 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21897, 1038, 21848])).
% 73.38/46.57 tff(21899,plain,
% 73.38/46.57 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21898, 21860])).
% 73.38/46.57 tff(21900,plain,
% 73.38/46.57 (v90(constB139, bitIndex1)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21899, 21891])).
% 73.38/46.57 tff(21901,plain,
% 73.38/46.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21902,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21903,plain,
% 73.38/46.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 73.38/46.57 tff(21904,plain,
% 73.38/46.57 (~v130(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21903, 1690, 21817])).
% 73.38/46.57 tff(21905,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21906,plain,
% 73.38/46.57 ((v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0))) <=> ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21907,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21906])).
% 73.38/46.57 tff(21908,plain,
% 73.38/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21907, 21905])).
% 73.38/46.57 tff(21909,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21910,plain,
% 73.38/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 73.38/46.57 tff(21911,plain,
% 73.38/46.57 ((~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21910, 769, 21693])).
% 73.38/46.57 tff(21912,plain,
% 73.38/46.57 (~v127(constB137, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21911, 21904])).
% 73.38/46.57 tff(21913,plain,
% 73.38/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21914,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21915,plain,
% 73.38/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 73.38/46.57 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 73.38/46.57 tff(21916,plain,
% 73.38/46.57 (v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21915, 787, 21705])).
% 73.38/46.57 tff(21917,plain,
% 73.38/46.57 (~v129(constB138, bitIndex0)),
% 73.38/46.57 inference(unit_resolution,[status(thm)],[21916, 21912])).
% 73.38/46.57 tff(21918,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21919,plain,
% 73.38/46.57 (((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 73.38/46.57 inference(rewrite,[status(thm)],[])).
% 73.38/46.57 tff(21920,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))))),
% 73.38/46.57 inference(monotonicity,[status(thm)],[21919])).
% 73.38/46.57 tff(21921,plain,
% 73.38/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 73.38/46.57 inference(transitivity,[status(thm)],[21920, 21918])).
% 73.38/46.57 tff(21922,plain,
% 73.38/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))),
% 73.38/46.57 inference(quant_inst,[status(thm)],[])).
% 73.38/46.57 tff(21923,plain,
% 73.38/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 73.38/46.58 tff(21924,plain,
% 73.38/46.58 ((~v90(constB138, bitIndex0)) | (~v100(constB138))),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21923, 802, 21917])).
% 73.38/46.58 tff(21925,plain,
% 73.38/46.58 (~v90(constB138, bitIndex0)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21924, 21745])).
% 73.38/46.58 tff(21926,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21927,plain,
% 73.38/46.58 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21928,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))))),
% 73.38/46.58 inference(monotonicity,[status(thm)],[21927])).
% 73.38/46.58 tff(21929,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 73.38/46.58 inference(transitivity,[status(thm)],[21928, 21926])).
% 73.38/46.58 tff(21930,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21931,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 73.38/46.58 tff(21932,plain,
% 73.38/46.58 (v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21931, 362, 21848])).
% 73.38/46.58 tff(21933,plain,
% 73.38/46.58 (v90(constB138, bitIndex0) | (~v90(constB139, bitIndex0))),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21932, 21860])).
% 73.38/46.58 tff(21934,plain,
% 73.38/46.58 (~v90(constB139, bitIndex0)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21933, 21925])).
% 73.38/46.58 tff(21935,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21936,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21937,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139)),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 73.38/46.58 tff(21938,plain,
% 73.38/46.58 (v121(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21937, 1734, 21934, 21900, 21869])).
% 73.38/46.58 tff(21939,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB139) | (~v121(constB139)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB139) | (~v121(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21940,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB139) | (~v121(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21941,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB139) | (~v121(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 73.38/46.58 tff(21942,plain,
% 73.38/46.58 (v117(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21941, 1775, 21938])).
% 73.38/46.58 tff(21943,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB139) | (~v117(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21944,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB139) | (~v117(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21945,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB139) | (~v117(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 73.38/46.58 tff(21946,plain,
% 73.38/46.58 (v116(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21945, 416, 21942])).
% 73.38/46.58 tff(21947,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21948,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21949,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21948, 21947])).
% 73.38/46.58 tff(21950,plain,
% 73.38/46.58 (v115(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21949, 427, 21946])).
% 73.38/46.58 tff(21951,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21952,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21953,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21952, 21951])).
% 73.38/46.58 tff(21954,plain,
% 73.38/46.58 (v114(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21953, 438, 21950])).
% 73.38/46.58 tff(21955,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21956,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21957,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21956, 21955])).
% 73.38/46.58 tff(21958,plain,
% 73.38/46.58 (v113(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21957, 449, 21954])).
% 73.38/46.58 tff(21959,assumption,(v26(constB139)), introduced(assumption)).
% 73.38/46.58 tff(21960,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21961,plain,
% 73.38/46.58 ($false),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21960, 26, 21959])).
% 73.38/46.58 tff(21962,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 73.38/46.58 tff(21963,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21964,plain,
% 73.38/46.58 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21965,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 73.38/46.58 inference(monotonicity,[status(thm)],[21964])).
% 73.38/46.58 tff(21966,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.38/46.58 inference(transitivity,[status(thm)],[21965, 21963])).
% 73.38/46.58 tff(21967,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21968,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 73.38/46.58 tff(21969,plain,
% 73.38/46.58 (v112(constB139) | (~v113(constB139))),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21968, 463, 21962])).
% 73.38/46.58 tff(21970,plain,
% 73.38/46.58 (v112(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21969, 21958])).
% 73.38/46.58 tff(21971,plain,
% 73.38/46.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21972,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21973,plain,
% 73.38/46.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21972, 21971])).
% 73.38/46.58 tff(21974,plain,
% 73.38/46.58 (v108(constB139)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21973, 475, 21970])).
% 73.38/46.58 tff(21975,plain,
% 73.38/46.58 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21976,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 73.38/46.58 tff(21977,plain,
% 73.38/46.58 (nextState(constB139, constB140)),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21976, 21975])).
% 73.38/46.58 tff(21978,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21979,plain,
% 73.38/46.58 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21980,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 73.38/46.58 inference(monotonicity,[status(thm)],[21979])).
% 73.38/46.58 tff(21981,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.38/46.58 inference(transitivity,[status(thm)],[21980, 21978])).
% 73.38/46.58 tff(21982,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21983,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 73.38/46.58 tff(21984,plain,
% 73.38/46.58 (v110(constB140) | (~v108(constB139))),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21983, 492, 21977])).
% 73.38/46.58 tff(21985,plain,
% 73.38/46.58 (v110(constB140)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21984, 21974])).
% 73.38/46.58 tff(21986,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21987,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 73.38/46.58 inference(quant_inst,[status(thm)],[])).
% 73.38/46.58 tff(21988,plain,
% 73.38/46.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 73.38/46.58 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 73.38/46.58 tff(21989,plain,
% 73.38/46.58 (~v104(constB140)),
% 73.38/46.58 inference(unit_resolution,[status(thm)],[21988, 510, 21977, 21845])).
% 73.38/46.58 tff(21990,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21991,plain,
% 73.38/46.58 (((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 73.38/46.58 inference(rewrite,[status(thm)],[])).
% 73.38/46.58 tff(21992,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)))),
% 73.38/46.58 inference(monotonicity,[status(thm)],[21991])).
% 73.38/46.58 tff(21993,plain,
% 73.38/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 73.43/46.58 inference(transitivity,[status(thm)],[21992, 21990])).
% 73.43/46.58 tff(21994,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(21995,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 73.43/46.58 tff(21996,plain,
% 73.43/46.58 (v104(constB140) | v102(constB140)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[21995, 524, 21977])).
% 73.43/46.58 tff(21997,plain,
% 73.43/46.58 (v102(constB140)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[21996, 21989])).
% 73.43/46.58 tff(21998,plain,
% 73.43/46.58 (v1(constB140) <=> v1(constB140)),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(21999,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 73.43/46.58 tff(22000,plain,
% 73.43/46.58 (v1(constB140)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[21999, 21998])).
% 73.43/46.58 tff(22001,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22002,plain,
% 73.43/46.58 (((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))) <=> ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22003,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22002])).
% 73.43/46.58 tff(22004,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22003, 22001])).
% 73.43/46.58 tff(22005,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22006,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22005, 22004])).
% 73.43/46.58 tff(22007,plain,
% 73.43/46.58 (v101(constB140) | (~v102(constB140))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22006, 545, 21977, 22000])).
% 73.43/46.58 tff(22008,plain,
% 73.43/46.58 (v101(constB140)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22007, 21997])).
% 73.43/46.58 tff(22009,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22010,plain,
% 73.43/46.58 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22011,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22010])).
% 73.43/46.58 tff(22012,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22011, 22009])).
% 73.43/46.58 tff(22013,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22014,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 73.43/46.58 tff(22015,plain,
% 73.43/46.58 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22014, 563, 21977])).
% 73.43/46.58 tff(22016,plain,
% 73.43/46.58 (v100(constB140) | (~v110(constB140))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22015, 22008])).
% 73.43/46.58 tff(22017,plain,
% 73.43/46.58 (v100(constB140)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22016, 21985])).
% 73.43/46.58 tff(22018,plain,
% 73.43/46.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22019,plain,
% 73.43/46.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22020,plain,
% 73.43/46.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 73.43/46.58 tff(22021,plain,
% 73.43/46.58 (~v130(constB139, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22020, 1748, 21938])).
% 73.43/46.58 tff(22022,plain,
% 73.43/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22023,plain,
% 73.43/46.58 ((v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2))) <=> ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22024,plain,
% 73.43/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22023])).
% 73.43/46.58 tff(22025,plain,
% 73.43/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22024, 22022])).
% 73.43/46.58 tff(22026,plain,
% 73.43/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22027,plain,
% 73.43/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22026, 22025])).
% 73.43/46.58 tff(22028,plain,
% 73.43/46.58 ((~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22027, 1271, 21962])).
% 73.43/46.58 tff(22029,plain,
% 73.43/46.58 (~v127(constB139, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22028, 22021])).
% 73.43/46.58 tff(22030,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22031,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22032,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22031, 22030])).
% 73.43/46.58 tff(22033,plain,
% 73.43/46.58 (v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22032, 1289, 21977])).
% 73.43/46.58 tff(22034,plain,
% 73.43/46.58 (~v129(constB140, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22033, 22029])).
% 73.43/46.58 tff(22035,plain,
% 73.43/46.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22036,plain,
% 73.43/46.58 (((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22037,plain,
% 73.43/46.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22036])).
% 73.43/46.58 tff(22038,plain,
% 73.43/46.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22037, 22035])).
% 73.43/46.58 tff(22039,plain,
% 73.43/46.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22040,plain,
% 73.43/46.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22039, 22038])).
% 73.43/46.58 tff(22041,plain,
% 73.43/46.58 ((~v90(constB140, bitIndex2)) | (~v100(constB140))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22040, 1304, 22034])).
% 73.43/46.58 tff(22042,plain,
% 73.43/46.58 (~v90(constB140, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22041, 22017])).
% 73.43/46.58 tff(22043,plain,
% 73.43/46.58 ((~v1(constB141)) <=> (~v1(constB141))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22044,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 73.43/46.58 tff(22045,plain,
% 73.43/46.58 (~v1(constB141)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 73.43/46.58 tff(22046,plain,
% 73.43/46.58 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22047,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 73.43/46.58 tff(22048,plain,
% 73.43/46.58 (nextState(constB140, constB141)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22047, 22046])).
% 73.43/46.58 tff(22049,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22050,plain,
% 73.43/46.58 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22051,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22050])).
% 73.43/46.58 tff(22052,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22051, 22049])).
% 73.43/46.58 tff(22053,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22054,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22053, 22052])).
% 73.43/46.58 tff(22055,plain,
% 73.43/46.58 (~v101(constB141)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22054, 288, 22048, 22045])).
% 73.43/46.58 tff(22056,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22057,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22058,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22057, 22056])).
% 73.43/46.58 tff(22059,plain,
% 73.43/46.58 (v101(constB141) | (~v100(constB141))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22058, 305, 22048])).
% 73.43/46.58 tff(22060,plain,
% 73.43/46.58 (~v100(constB141)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22059, 22055])).
% 73.43/46.58 tff(22061,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22062,plain,
% 73.43/46.58 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22063,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))))),
% 73.43/46.58 inference(monotonicity,[status(thm)],[22062])).
% 73.43/46.58 tff(22064,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 73.43/46.58 inference(transitivity,[status(thm)],[22063, 22061])).
% 73.43/46.58 tff(22065,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22066,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22065, 22064])).
% 73.43/46.58 tff(22067,plain,
% 73.43/46.58 (v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22066, 320, 22048])).
% 73.43/46.58 tff(22068,plain,
% 73.43/46.58 (v90(constB140, bitIndex2) | (~v90(constB141, bitIndex2))),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22067, 22060])).
% 73.43/46.58 tff(22069,plain,
% 73.43/46.58 (~v90(constB141, bitIndex2)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22068, 22042])).
% 73.43/46.58 tff(22070,plain,
% 73.43/46.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22071,plain,
% 73.43/46.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22072,plain,
% 73.43/46.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22071, 22070])).
% 73.43/46.58 tff(22073,plain,
% 73.43/46.58 (v130(constB139, bitIndex1)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22072, 1904, 21938])).
% 73.43/46.58 tff(22074,plain,
% 73.43/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22075,plain,
% 73.43/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22076,plain,
% 73.43/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22075, 22074])).
% 73.43/46.58 tff(22077,plain,
% 73.43/46.58 ((~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22076, 990, 21962])).
% 73.43/46.58 tff(22078,plain,
% 73.43/46.58 (v127(constB139, bitIndex1)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22077, 22073])).
% 73.43/46.58 tff(22079,plain,
% 73.43/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22080,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 73.43/46.58 inference(quant_inst,[status(thm)],[])).
% 73.43/46.58 tff(22081,plain,
% 73.43/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 73.43/46.58 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 73.43/46.58 tff(22082,plain,
% 73.43/46.58 ((~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22081, 1005, 21977])).
% 73.43/46.58 tff(22083,plain,
% 73.43/46.58 (v129(constB140, bitIndex1)),
% 73.43/46.58 inference(unit_resolution,[status(thm)],[22082, 22078])).
% 73.43/46.58 tff(22084,plain,
% 73.43/46.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22085,plain,
% 73.43/46.58 ((v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 73.43/46.58 inference(rewrite,[status(thm)],[])).
% 73.43/46.58 tff(22086,plain,
% 73.43/46.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22085])).
% 73.43/46.59 tff(22087,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22086, 22084])).
% 73.43/46.59 tff(22088,plain,
% 73.43/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22089,plain,
% 73.43/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 73.43/46.59 tff(22090,plain,
% 73.43/46.59 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22089, 1020, 22083])).
% 73.43/46.59 tff(22091,plain,
% 73.43/46.59 (v90(constB140, bitIndex1)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22090, 22017])).
% 73.43/46.59 tff(22092,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22093,plain,
% 73.43/46.59 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22094,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22093])).
% 73.43/46.59 tff(22095,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22094, 22092])).
% 73.43/46.59 tff(22096,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22097,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 73.43/46.59 tff(22098,plain,
% 73.43/46.59 ((~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22097, 1038, 22048])).
% 73.43/46.59 tff(22099,plain,
% 73.43/46.59 ((~v90(constB140, bitIndex1)) | v90(constB141, bitIndex1)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22098, 22060])).
% 73.43/46.59 tff(22100,plain,
% 73.43/46.59 (v90(constB141, bitIndex1)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22099, 22091])).
% 73.43/46.59 tff(22101,plain,
% 73.43/46.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22102,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22103,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 73.43/46.59 tff(22104,plain,
% 73.43/46.59 (v130(constB139, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22103, 1945, 21938])).
% 73.43/46.59 tff(22105,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22106,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22107,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 73.43/46.59 tff(22108,plain,
% 73.43/46.59 ((~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22107, 1413, 21962])).
% 73.43/46.59 tff(22109,plain,
% 73.43/46.59 (v127(constB139, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22108, 22104])).
% 73.43/46.59 tff(22110,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22111,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22112,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22111, 22110])).
% 73.43/46.59 tff(22113,plain,
% 73.43/46.59 ((~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22112, 1428, 21977])).
% 73.43/46.59 tff(22114,plain,
% 73.43/46.59 (v129(constB140, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22113, 22109])).
% 73.43/46.59 tff(22115,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22116,plain,
% 73.43/46.59 ((v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22117,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22116])).
% 73.43/46.59 tff(22118,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22117, 22115])).
% 73.43/46.59 tff(22119,plain,
% 73.43/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22120,plain,
% 73.43/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 73.43/46.59 tff(22121,plain,
% 73.43/46.59 (v90(constB140, bitIndex0) | (~v100(constB140))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22120, 1443, 22114])).
% 73.43/46.59 tff(22122,plain,
% 73.43/46.59 (v90(constB140, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22121, 22017])).
% 73.43/46.59 tff(22123,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22124,plain,
% 73.43/46.59 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22125,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22124])).
% 73.43/46.59 tff(22126,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22125, 22123])).
% 73.43/46.59 tff(22127,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22128,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 73.43/46.59 tff(22129,plain,
% 73.43/46.59 ((~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22128, 1461, 22048])).
% 73.43/46.59 tff(22130,plain,
% 73.43/46.59 ((~v90(constB140, bitIndex0)) | v90(constB141, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22129, 22060])).
% 73.43/46.59 tff(22131,plain,
% 73.43/46.59 (v90(constB141, bitIndex0)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22130, 22122])).
% 73.43/46.59 tff(22132,plain,
% 73.43/46.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22133,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22134,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 73.43/46.59 tff(22135,plain,
% 73.43/46.59 (v122(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22134, 1986, 22131, 22100, 22069])).
% 73.43/46.59 tff(22136,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22137,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22138,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 73.43/46.59 tff(22139,plain,
% 73.43/46.59 (v116(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22138, 1997, 22135])).
% 73.43/46.59 tff(22140,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22141,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22142,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 73.43/46.59 tff(22143,plain,
% 73.43/46.59 (v115(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22142, 427, 22139])).
% 73.43/46.59 tff(22144,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22145,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22146,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 73.43/46.59 tff(22147,plain,
% 73.43/46.59 (v114(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22146, 438, 22143])).
% 73.43/46.59 tff(22148,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22149,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22150,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22149, 22148])).
% 73.43/46.59 tff(22151,plain,
% 73.43/46.59 (v113(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22150, 449, 22147])).
% 73.43/46.59 tff(22152,assumption,(v26(constB141)), introduced(assumption)).
% 73.43/46.59 tff(22153,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22154,plain,
% 73.43/46.59 ($false),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22153, 26, 22152])).
% 73.43/46.59 tff(22155,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 73.43/46.59 tff(22156,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22157,plain,
% 73.43/46.59 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22158,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22157])).
% 73.43/46.59 tff(22159,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22158, 22156])).
% 73.43/46.59 tff(22160,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22161,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 73.43/46.59 tff(22162,plain,
% 73.43/46.59 (v112(constB141) | (~v113(constB141))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22161, 463, 22155])).
% 73.43/46.59 tff(22163,plain,
% 73.43/46.59 (v112(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22162, 22151])).
% 73.43/46.59 tff(22164,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22165,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22166,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 73.43/46.59 tff(22167,plain,
% 73.43/46.59 (v108(constB141)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22166, 475, 22163])).
% 73.43/46.59 tff(22168,plain,
% 73.43/46.59 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22169,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 73.43/46.59 tff(22170,plain,
% 73.43/46.59 (nextState(constB141, constB142)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 73.43/46.59 tff(22171,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22172,plain,
% 73.43/46.59 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22173,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22172])).
% 73.43/46.59 tff(22174,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22173, 22171])).
% 73.43/46.59 tff(22175,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22176,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 73.43/46.59 tff(22177,plain,
% 73.43/46.59 (v110(constB142) | (~v108(constB141))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22176, 492, 22170])).
% 73.43/46.59 tff(22178,plain,
% 73.43/46.59 (v110(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22177, 22167])).
% 73.43/46.59 tff(22179,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22180,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22181,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 73.43/46.59 tff(22182,plain,
% 73.43/46.59 (~v104(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22181, 510, 22170, 22045])).
% 73.43/46.59 tff(22183,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22184,plain,
% 73.43/46.59 (((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22185,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22184])).
% 73.43/46.59 tff(22186,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22185, 22183])).
% 73.43/46.59 tff(22187,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22188,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 73.43/46.59 tff(22189,plain,
% 73.43/46.59 (v104(constB142) | v102(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22188, 524, 22170])).
% 73.43/46.59 tff(22190,plain,
% 73.43/46.59 (v102(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22189, 22182])).
% 73.43/46.59 tff(22191,plain,
% 73.43/46.59 (v1(constB142) <=> v1(constB142)),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22192,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 73.43/46.59 tff(22193,plain,
% 73.43/46.59 (v1(constB142)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22192, 22191])).
% 73.43/46.59 tff(22194,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22195,plain,
% 73.43/46.59 (((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))) <=> ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22196,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22195])).
% 73.43/46.59 tff(22197,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22196, 22194])).
% 73.43/46.59 tff(22198,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22199,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 73.43/46.59 tff(22200,plain,
% 73.43/46.59 (v101(constB142) | (~v102(constB142))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22199, 545, 22170, 22193])).
% 73.43/46.59 tff(22201,plain,
% 73.43/46.59 (v101(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22200, 22190])).
% 73.43/46.59 tff(22202,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22203,plain,
% 73.43/46.59 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22204,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22203])).
% 73.43/46.59 tff(22205,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.43/46.59 inference(transitivity,[status(thm)],[22204, 22202])).
% 73.43/46.59 tff(22206,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22207,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22206, 22205])).
% 73.43/46.59 tff(22208,plain,
% 73.43/46.59 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22207, 563, 22170])).
% 73.43/46.59 tff(22209,plain,
% 73.43/46.59 (v100(constB142) | (~v110(constB142))),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22208, 22201])).
% 73.43/46.59 tff(22210,plain,
% 73.43/46.59 (v100(constB142)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22209, 22178])).
% 73.43/46.59 tff(22211,plain,
% 73.43/46.59 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22212,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22213,plain,
% 73.43/46.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22212, 22211])).
% 73.43/46.59 tff(22214,plain,
% 73.43/46.59 (v130(constB141, bitIndex2)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22213, 2079, 22135])).
% 73.43/46.59 tff(22215,plain,
% 73.43/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22216,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22217,plain,
% 73.43/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22216, 22215])).
% 73.43/46.59 tff(22218,plain,
% 73.43/46.59 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22217, 596, 22155])).
% 73.43/46.59 tff(22219,plain,
% 73.43/46.59 (v127(constB141, bitIndex2)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22218, 22214])).
% 73.43/46.59 tff(22220,plain,
% 73.43/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22221,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 73.43/46.59 inference(quant_inst,[status(thm)],[])).
% 73.43/46.59 tff(22222,plain,
% 73.43/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 73.43/46.59 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 73.43/46.59 tff(22223,plain,
% 73.43/46.59 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22222, 611, 22170])).
% 73.43/46.59 tff(22224,plain,
% 73.43/46.59 (v129(constB142, bitIndex2)),
% 73.43/46.59 inference(unit_resolution,[status(thm)],[22223, 22219])).
% 73.43/46.59 tff(22225,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22226,plain,
% 73.43/46.59 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.43/46.59 inference(rewrite,[status(thm)],[])).
% 73.43/46.59 tff(22227,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 73.43/46.59 inference(monotonicity,[status(thm)],[22226])).
% 73.43/46.59 tff(22228,plain,
% 73.43/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22227, 22225])).
% 73.43/46.60 tff(22229,plain,
% 73.43/46.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22230,plain,
% 73.43/46.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22229, 22228])).
% 73.43/46.60 tff(22231,plain,
% 73.43/46.60 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22230, 626, 22224])).
% 73.43/46.60 tff(22232,plain,
% 73.43/46.60 (v90(constB142, bitIndex2)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22231, 22210])).
% 73.43/46.60 tff(22233,plain,
% 73.43/46.60 ((~v1(constB143)) <=> (~v1(constB143))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22234,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 73.43/46.60 tff(22235,plain,
% 73.43/46.60 (~v1(constB143)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 73.43/46.60 tff(22236,plain,
% 73.43/46.60 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22237,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 73.43/46.60 tff(22238,plain,
% 73.43/46.60 (nextState(constB142, constB143)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22237, 22236])).
% 73.43/46.60 tff(22239,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22240,plain,
% 73.43/46.60 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22241,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22240])).
% 73.43/46.60 tff(22242,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22241, 22239])).
% 73.43/46.60 tff(22243,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22244,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22243, 22242])).
% 73.43/46.60 tff(22245,plain,
% 73.43/46.60 (~v101(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22244, 288, 22238, 22235])).
% 73.43/46.60 tff(22246,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22247,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22248,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22247, 22246])).
% 73.43/46.60 tff(22249,plain,
% 73.43/46.60 (v101(constB143) | (~v100(constB143))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22248, 305, 22238])).
% 73.43/46.60 tff(22250,plain,
% 73.43/46.60 (~v100(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22249, 22245])).
% 73.43/46.60 tff(22251,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22252,plain,
% 73.43/46.60 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22253,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22252])).
% 73.43/46.60 tff(22254,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22253, 22251])).
% 73.43/46.60 tff(22255,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22256,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 73.43/46.60 tff(22257,plain,
% 73.43/46.60 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22256, 662, 22238])).
% 73.43/46.60 tff(22258,plain,
% 73.43/46.60 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22257, 22250])).
% 73.43/46.60 tff(22259,plain,
% 73.43/46.60 (v90(constB143, bitIndex2)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22258, 22232])).
% 73.43/46.60 tff(22260,plain,
% 73.43/46.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22261,plain,
% 73.43/46.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22262,plain,
% 73.43/46.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22261, 22260])).
% 73.43/46.60 tff(22263,plain,
% 73.43/46.60 (~v130(constB141, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22262, 2138, 22135])).
% 73.43/46.60 tff(22264,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22265,plain,
% 73.43/46.60 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22266,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22265])).
% 73.43/46.60 tff(22267,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22266, 22264])).
% 73.43/46.60 tff(22268,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22269,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22268, 22267])).
% 73.43/46.60 tff(22270,plain,
% 73.43/46.60 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22269, 695, 22155])).
% 73.43/46.60 tff(22271,plain,
% 73.43/46.60 (~v127(constB141, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22270, 22263])).
% 73.43/46.60 tff(22272,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22273,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22274,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22273, 22272])).
% 73.43/46.60 tff(22275,plain,
% 73.43/46.60 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22274, 713, 22170])).
% 73.43/46.60 tff(22276,plain,
% 73.43/46.60 (~v129(constB142, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22275, 22271])).
% 73.43/46.60 tff(22277,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22278,plain,
% 73.43/46.60 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22279,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22278])).
% 73.43/46.60 tff(22280,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22279, 22277])).
% 73.43/46.60 tff(22281,plain,
% 73.43/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22282,plain,
% 73.43/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22281, 22280])).
% 73.43/46.60 tff(22283,plain,
% 73.43/46.60 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22282, 728, 22276])).
% 73.43/46.60 tff(22284,plain,
% 73.43/46.60 (~v90(constB142, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22283, 22210])).
% 73.43/46.60 tff(22285,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22286,plain,
% 73.43/46.60 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22287,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22286])).
% 73.43/46.60 tff(22288,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22287, 22285])).
% 73.43/46.60 tff(22289,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22290,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 73.43/46.60 tff(22291,plain,
% 73.43/46.60 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22290, 341, 22238])).
% 73.43/46.60 tff(22292,plain,
% 73.43/46.60 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22291, 22250])).
% 73.43/46.60 tff(22293,plain,
% 73.43/46.60 (~v90(constB143, bitIndex1)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22292, 22284])).
% 73.43/46.60 tff(22294,plain,
% 73.43/46.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22295,plain,
% 73.43/46.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22296,plain,
% 73.43/46.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22295, 22294])).
% 73.43/46.60 tff(22297,plain,
% 73.43/46.60 (~v130(constB141, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22296, 2182, 22135])).
% 73.43/46.60 tff(22298,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22299,plain,
% 73.43/46.60 ((v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0))) <=> ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22300,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22299])).
% 73.43/46.60 tff(22301,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22300, 22298])).
% 73.43/46.60 tff(22302,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22303,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 73.43/46.60 tff(22304,plain,
% 73.43/46.60 ((~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22303, 769, 22155])).
% 73.43/46.60 tff(22305,plain,
% 73.43/46.60 (~v127(constB141, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22304, 22297])).
% 73.43/46.60 tff(22306,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22307,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22308,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 73.43/46.60 tff(22309,plain,
% 73.43/46.60 (v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22308, 787, 22170])).
% 73.43/46.60 tff(22310,plain,
% 73.43/46.60 (~v129(constB142, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22309, 22305])).
% 73.43/46.60 tff(22311,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22312,plain,
% 73.43/46.60 (((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22313,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22312])).
% 73.43/46.60 tff(22314,plain,
% 73.43/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22313, 22311])).
% 73.43/46.60 tff(22315,plain,
% 73.43/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22316,plain,
% 73.43/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22315, 22314])).
% 73.43/46.60 tff(22317,plain,
% 73.43/46.60 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22316, 802, 22310])).
% 73.43/46.60 tff(22318,plain,
% 73.43/46.60 (~v90(constB142, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22317, 22210])).
% 73.43/46.60 tff(22319,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22320,plain,
% 73.43/46.60 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22321,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22320])).
% 73.43/46.60 tff(22322,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22321, 22319])).
% 73.43/46.60 tff(22323,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22324,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22323, 22322])).
% 73.43/46.60 tff(22325,plain,
% 73.43/46.60 (v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22324, 362, 22238])).
% 73.43/46.60 tff(22326,plain,
% 73.43/46.60 (v90(constB142, bitIndex0) | (~v90(constB143, bitIndex0))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22325, 22250])).
% 73.43/46.60 tff(22327,plain,
% 73.43/46.60 (~v90(constB143, bitIndex0)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22326, 22318])).
% 73.43/46.60 tff(22328,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22329,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22330,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22329, 22328])).
% 73.43/46.60 tff(22331,plain,
% 73.43/46.60 (v123(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22330, 829, 22327, 22293, 22259])).
% 73.43/46.60 tff(22332,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22333,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22334,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22333, 22332])).
% 73.43/46.60 tff(22335,plain,
% 73.43/46.60 (v115(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22334, 840, 22331])).
% 73.43/46.60 tff(22336,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22337,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22338,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 73.43/46.60 tff(22339,plain,
% 73.43/46.60 (v114(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22338, 438, 22335])).
% 73.43/46.60 tff(22340,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22341,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22342,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 73.43/46.60 tff(22343,plain,
% 73.43/46.60 (v113(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22342, 449, 22339])).
% 73.43/46.60 tff(22344,assumption,(v26(constB143)), introduced(assumption)).
% 73.43/46.60 tff(22345,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22346,plain,
% 73.43/46.60 ($false),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22345, 26, 22344])).
% 73.43/46.60 tff(22347,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 73.43/46.60 tff(22348,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22349,plain,
% 73.43/46.60 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22350,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22349])).
% 73.43/46.60 tff(22351,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22350, 22348])).
% 73.43/46.60 tff(22352,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22353,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 73.43/46.60 tff(22354,plain,
% 73.43/46.60 (v112(constB143) | (~v113(constB143))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22353, 463, 22347])).
% 73.43/46.60 tff(22355,plain,
% 73.43/46.60 (v112(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22354, 22343])).
% 73.43/46.60 tff(22356,plain,
% 73.43/46.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22357,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22358,plain,
% 73.43/46.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 73.43/46.60 tff(22359,plain,
% 73.43/46.60 (v108(constB143)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22358, 475, 22355])).
% 73.43/46.60 tff(22360,plain,
% 73.43/46.60 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22361,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 73.43/46.60 tff(22362,plain,
% 73.43/46.60 (nextState(constB143, constB144)),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 73.43/46.60 tff(22363,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22364,plain,
% 73.43/46.60 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.43/46.60 inference(rewrite,[status(thm)],[])).
% 73.43/46.60 tff(22365,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 73.43/46.60 inference(monotonicity,[status(thm)],[22364])).
% 73.43/46.60 tff(22366,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.43/46.60 inference(transitivity,[status(thm)],[22365, 22363])).
% 73.43/46.60 tff(22367,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 73.43/46.60 inference(quant_inst,[status(thm)],[])).
% 73.43/46.60 tff(22368,plain,
% 73.43/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 73.43/46.60 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 73.43/46.60 tff(22369,plain,
% 73.43/46.60 (v110(constB144) | (~v108(constB143))),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22368, 492, 22362])).
% 73.43/46.60 tff(22370,plain,
% 73.43/46.60 (v110(constB144)),
% 73.43/46.60 inference(unit_resolution,[status(thm)],[22369, 22359])).
% 73.43/46.60 tff(22371,plain,
% 73.43/46.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22372,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22373,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 73.43/46.61 tff(22374,plain,
% 73.43/46.61 (~v104(constB144)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22373, 510, 22362, 22235])).
% 73.43/46.61 tff(22375,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22376,plain,
% 73.43/46.61 (((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22377,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22376])).
% 73.43/46.61 tff(22378,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22377, 22375])).
% 73.43/46.61 tff(22379,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22380,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22379, 22378])).
% 73.43/46.61 tff(22381,plain,
% 73.43/46.61 (v104(constB144) | v102(constB144)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22380, 524, 22362])).
% 73.43/46.61 tff(22382,plain,
% 73.43/46.61 (v102(constB144)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22381, 22374])).
% 73.43/46.61 tff(22383,plain,
% 73.43/46.61 (v1(constB144) <=> v1(constB144)),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22384,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 73.43/46.61 tff(22385,plain,
% 73.43/46.61 (v1(constB144)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 73.43/46.61 tff(22386,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22387,plain,
% 73.43/46.61 (((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))) <=> ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22388,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22387])).
% 73.43/46.61 tff(22389,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22388, 22386])).
% 73.43/46.61 tff(22390,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22391,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 73.43/46.61 tff(22392,plain,
% 73.43/46.61 (v101(constB144) | (~v102(constB144))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22391, 545, 22362, 22385])).
% 73.43/46.61 tff(22393,plain,
% 73.43/46.61 (v101(constB144)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22392, 22382])).
% 73.43/46.61 tff(22394,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22395,plain,
% 73.43/46.61 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22396,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22395])).
% 73.43/46.61 tff(22397,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22396, 22394])).
% 73.43/46.61 tff(22398,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22399,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22398, 22397])).
% 73.43/46.61 tff(22400,plain,
% 73.43/46.61 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22399, 563, 22362])).
% 73.43/46.61 tff(22401,plain,
% 73.43/46.61 (v100(constB144) | (~v110(constB144))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22400, 22393])).
% 73.43/46.61 tff(22402,plain,
% 73.43/46.61 (v100(constB144)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22401, 22370])).
% 73.43/46.61 tff(22403,plain,
% 73.43/46.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22404,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22405,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 73.43/46.61 tff(22406,plain,
% 73.43/46.61 (v130(constB143, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22405, 917, 22331])).
% 73.43/46.61 tff(22407,plain,
% 73.43/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22408,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22409,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22408, 22407])).
% 73.43/46.61 tff(22410,plain,
% 73.43/46.61 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22409, 596, 22347])).
% 73.43/46.61 tff(22411,plain,
% 73.43/46.61 (v127(constB143, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22410, 22406])).
% 73.43/46.61 tff(22412,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22413,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22414,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22413, 22412])).
% 73.43/46.61 tff(22415,plain,
% 73.43/46.61 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22414, 611, 22362])).
% 73.43/46.61 tff(22416,plain,
% 73.43/46.61 (v129(constB144, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22415, 22411])).
% 73.43/46.61 tff(22417,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22418,plain,
% 73.43/46.61 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22419,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22418])).
% 73.43/46.61 tff(22420,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22419, 22417])).
% 73.43/46.61 tff(22421,plain,
% 73.43/46.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22422,plain,
% 73.43/46.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22421, 22420])).
% 73.43/46.61 tff(22423,plain,
% 73.43/46.61 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22422, 626, 22416])).
% 73.43/46.61 tff(22424,plain,
% 73.43/46.61 (v90(constB144, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22423, 22402])).
% 73.43/46.61 tff(22425,plain,
% 73.43/46.61 ((~v1(constB145)) <=> (~v1(constB145))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22426,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 73.43/46.61 tff(22427,plain,
% 73.43/46.61 (~v1(constB145)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 73.43/46.61 tff(22428,plain,
% 73.43/46.61 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22429,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 73.43/46.61 tff(22430,plain,
% 73.43/46.61 (nextState(constB144, constB145)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22429, 22428])).
% 73.43/46.61 tff(22431,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22432,plain,
% 73.43/46.61 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22433,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22432])).
% 73.43/46.61 tff(22434,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22433, 22431])).
% 73.43/46.61 tff(22435,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22436,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22435, 22434])).
% 73.43/46.61 tff(22437,plain,
% 73.43/46.61 (~v101(constB145)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22436, 288, 22430, 22427])).
% 73.43/46.61 tff(22438,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22439,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22440,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 73.43/46.61 tff(22441,plain,
% 73.43/46.61 (v101(constB145) | (~v100(constB145))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22440, 305, 22430])).
% 73.43/46.61 tff(22442,plain,
% 73.43/46.61 (~v100(constB145)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22441, 22437])).
% 73.43/46.61 tff(22443,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22444,plain,
% 73.43/46.61 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22445,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22444])).
% 73.43/46.61 tff(22446,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22445, 22443])).
% 73.43/46.61 tff(22447,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22448,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 73.43/46.61 tff(22449,plain,
% 73.43/46.61 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22448, 662, 22430])).
% 73.43/46.61 tff(22450,plain,
% 73.43/46.61 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22449, 22442])).
% 73.43/46.61 tff(22451,plain,
% 73.43/46.61 (v90(constB145, bitIndex2)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22450, 22424])).
% 73.43/46.61 tff(22452,plain,
% 73.43/46.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22453,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22454,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 73.43/46.61 tff(22455,plain,
% 73.43/46.61 (v130(constB143, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22454, 976, 22331])).
% 73.43/46.61 tff(22456,plain,
% 73.43/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22457,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22458,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22457, 22456])).
% 73.43/46.61 tff(22459,plain,
% 73.43/46.61 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22458, 990, 22347])).
% 73.43/46.61 tff(22460,plain,
% 73.43/46.61 (v127(constB143, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22459, 22455])).
% 73.43/46.61 tff(22461,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22462,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22463,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 73.43/46.61 tff(22464,plain,
% 73.43/46.61 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22463, 1005, 22362])).
% 73.43/46.61 tff(22465,plain,
% 73.43/46.61 (v129(constB144, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22464, 22460])).
% 73.43/46.61 tff(22466,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22467,plain,
% 73.43/46.61 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22468,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22467])).
% 73.43/46.61 tff(22469,plain,
% 73.43/46.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22468, 22466])).
% 73.43/46.61 tff(22470,plain,
% 73.43/46.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22471,plain,
% 73.43/46.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 73.43/46.61 tff(22472,plain,
% 73.43/46.61 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22471, 1020, 22465])).
% 73.43/46.61 tff(22473,plain,
% 73.43/46.61 (v90(constB144, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22472, 22402])).
% 73.43/46.61 tff(22474,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22475,plain,
% 73.43/46.61 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22476,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22475])).
% 73.43/46.61 tff(22477,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22476, 22474])).
% 73.43/46.61 tff(22478,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22479,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22478, 22477])).
% 73.43/46.61 tff(22480,plain,
% 73.43/46.61 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22479, 1038, 22430])).
% 73.43/46.61 tff(22481,plain,
% 73.43/46.61 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22480, 22442])).
% 73.43/46.61 tff(22482,plain,
% 73.43/46.61 (v90(constB145, bitIndex1)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22481, 22473])).
% 73.43/46.61 tff(22483,plain,
% 73.43/46.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22484,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22485,plain,
% 73.43/46.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 73.43/46.61 tff(22486,plain,
% 73.43/46.61 (~v130(constB143, bitIndex0)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22485, 1057, 22331])).
% 73.43/46.61 tff(22487,plain,
% 73.43/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22488,plain,
% 73.43/46.61 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22489,plain,
% 73.43/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22488])).
% 73.43/46.61 tff(22490,plain,
% 73.43/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22489, 22487])).
% 73.43/46.61 tff(22491,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22492,plain,
% 73.43/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22491, 22490])).
% 73.43/46.61 tff(22493,plain,
% 73.43/46.61 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22492, 769, 22347])).
% 73.43/46.61 tff(22494,plain,
% 73.43/46.61 (~v127(constB143, bitIndex0)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22493, 22486])).
% 73.43/46.61 tff(22495,plain,
% 73.43/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22496,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22497,plain,
% 73.43/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 73.43/46.61 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 73.43/46.61 tff(22498,plain,
% 73.43/46.61 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22497, 787, 22362])).
% 73.43/46.61 tff(22499,plain,
% 73.43/46.61 (~v129(constB144, bitIndex0)),
% 73.43/46.61 inference(unit_resolution,[status(thm)],[22498, 22494])).
% 73.43/46.61 tff(22500,plain,
% 73.43/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22501,plain,
% 73.43/46.61 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.43/46.61 inference(rewrite,[status(thm)],[])).
% 73.43/46.61 tff(22502,plain,
% 73.43/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 73.43/46.61 inference(monotonicity,[status(thm)],[22501])).
% 73.43/46.61 tff(22503,plain,
% 73.43/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.43/46.61 inference(transitivity,[status(thm)],[22502, 22500])).
% 73.43/46.61 tff(22504,plain,
% 73.43/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 73.43/46.61 inference(quant_inst,[status(thm)],[])).
% 73.43/46.61 tff(22505,plain,
% 73.43/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22504, 22503])).
% 73.43/46.62 tff(22506,plain,
% 73.43/46.62 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22505, 802, 22499])).
% 73.43/46.62 tff(22507,plain,
% 73.43/46.62 (~v90(constB144, bitIndex0)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22506, 22402])).
% 73.43/46.62 tff(22508,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22509,plain,
% 73.43/46.62 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22510,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22509])).
% 73.43/46.62 tff(22511,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22510, 22508])).
% 73.43/46.62 tff(22512,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22513,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 73.43/46.62 tff(22514,plain,
% 73.43/46.62 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22513, 362, 22430])).
% 73.43/46.62 tff(22515,plain,
% 73.43/46.62 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22514, 22442])).
% 73.43/46.62 tff(22516,plain,
% 73.43/46.62 (~v90(constB145, bitIndex0)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22515, 22507])).
% 73.43/46.62 tff(22517,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22518,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22519,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22518, 22517])).
% 73.43/46.62 tff(22520,plain,
% 73.43/46.62 (v125(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22519, 1101, 22516, 22482, 22451])).
% 73.43/46.62 tff(22521,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22522,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22523,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 73.43/46.62 tff(22524,plain,
% 73.43/46.62 (v113(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22523, 1112, 22520])).
% 73.43/46.62 tff(22525,assumption,(v26(constB145)), introduced(assumption)).
% 73.43/46.62 tff(22526,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22527,plain,
% 73.43/46.62 ($false),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22526, 26, 22525])).
% 73.43/46.62 tff(22528,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 73.43/46.62 tff(22529,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22530,plain,
% 73.43/46.62 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22531,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22530])).
% 73.43/46.62 tff(22532,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22531, 22529])).
% 73.43/46.62 tff(22533,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22534,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22533, 22532])).
% 73.43/46.62 tff(22535,plain,
% 73.43/46.62 (v112(constB145) | (~v113(constB145))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22534, 463, 22528])).
% 73.43/46.62 tff(22536,plain,
% 73.43/46.62 (v112(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22535, 22524])).
% 73.43/46.62 tff(22537,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22538,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22539,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 73.43/46.62 tff(22540,plain,
% 73.43/46.62 (v108(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22539, 475, 22536])).
% 73.43/46.62 tff(22541,plain,
% 73.43/46.62 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22542,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 73.43/46.62 tff(22543,plain,
% 73.43/46.62 (nextState(constB145, constB146)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 73.43/46.62 tff(22544,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22545,plain,
% 73.43/46.62 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22546,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22545])).
% 73.43/46.62 tff(22547,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22546, 22544])).
% 73.43/46.62 tff(22548,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22549,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22548, 22547])).
% 73.43/46.62 tff(22550,plain,
% 73.43/46.62 (v110(constB146) | (~v108(constB145))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22549, 492, 22543])).
% 73.43/46.62 tff(22551,plain,
% 73.43/46.62 (v110(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22550, 22540])).
% 73.43/46.62 tff(22552,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22553,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22554,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 73.43/46.62 tff(22555,plain,
% 73.43/46.62 (~v104(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22554, 510, 22543, 22427])).
% 73.43/46.62 tff(22556,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22557,plain,
% 73.43/46.62 (((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22558,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22557])).
% 73.43/46.62 tff(22559,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22558, 22556])).
% 73.43/46.62 tff(22560,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22561,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22560, 22559])).
% 73.43/46.62 tff(22562,plain,
% 73.43/46.62 (v104(constB146) | v102(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22561, 524, 22543])).
% 73.43/46.62 tff(22563,plain,
% 73.43/46.62 (v102(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22562, 22555])).
% 73.43/46.62 tff(22564,plain,
% 73.43/46.62 (v1(constB146) <=> v1(constB146)),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22565,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 73.43/46.62 tff(22566,plain,
% 73.43/46.62 (v1(constB146)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22565, 22564])).
% 73.43/46.62 tff(22567,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22568,plain,
% 73.43/46.62 (((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))) <=> ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22569,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22568])).
% 73.43/46.62 tff(22570,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22569, 22567])).
% 73.43/46.62 tff(22571,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22572,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22571, 22570])).
% 73.43/46.62 tff(22573,plain,
% 73.43/46.62 (v101(constB146) | (~v102(constB146))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22572, 545, 22543, 22566])).
% 73.43/46.62 tff(22574,plain,
% 73.43/46.62 (v101(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22573, 22563])).
% 73.43/46.62 tff(22575,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22576,plain,
% 73.43/46.62 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22577,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22576])).
% 73.43/46.62 tff(22578,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22577, 22575])).
% 73.43/46.62 tff(22579,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22580,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 73.43/46.62 tff(22581,plain,
% 73.43/46.62 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22580, 563, 22543])).
% 73.43/46.62 tff(22582,plain,
% 73.43/46.62 (v100(constB146) | (~v110(constB146))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22581, 22574])).
% 73.43/46.62 tff(22583,plain,
% 73.43/46.62 (v100(constB146)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22582, 22551])).
% 73.43/46.62 tff(22584,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22585,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22586,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22585, 22584])).
% 73.43/46.62 tff(22587,plain,
% 73.43/46.62 (~v123(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22586, 1218, 22482])).
% 73.43/46.62 tff(22588,assumption,(v130(constB145, bitIndex2)), introduced(assumption)).
% 73.43/46.62 tff(22589,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22590,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22591,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 73.43/46.62 tff(22592,plain,
% 73.43/46.62 (~v124(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22591, 3733, 22588])).
% 73.43/46.62 tff(22593,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22594,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22595,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22594, 22593])).
% 73.43/46.62 tff(22596,plain,
% 73.43/46.62 (~v120(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22595, 1587, 22588])).
% 73.43/46.62 tff(22597,assumption,(~v123(constB145)), introduced(assumption)).
% 73.43/46.62 tff(22598,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22599,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22600,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22599, 22598])).
% 73.43/46.62 tff(22601,plain,
% 73.43/46.62 (~v121(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22600, 1748, 22588])).
% 73.43/46.62 tff(22602,assumption,(v123(constB143)), introduced(assumption)).
% 73.43/46.62 tff(22603,plain,
% 73.43/46.62 (v115(constB143)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22334, 840, 22602])).
% 73.43/46.62 tff(22604,plain,
% 73.43/46.62 (v114(constB143)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22338, 438, 22603])).
% 73.43/46.62 tff(22605,plain,
% 73.43/46.62 (v113(constB143)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22342, 449, 22604])).
% 73.43/46.62 tff(22606,plain,
% 73.43/46.62 (v112(constB143)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22354, 22605])).
% 73.43/46.62 tff(22607,plain,
% 73.43/46.62 (v108(constB143)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22358, 475, 22606])).
% 73.43/46.62 tff(22608,plain,
% 73.43/46.62 (v110(constB144)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22369, 22607])).
% 73.43/46.62 tff(22609,plain,
% 73.43/46.62 (v100(constB144)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22401, 22608])).
% 73.43/46.62 tff(22610,plain,
% 73.43/46.62 (v130(constB143, bitIndex1)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22454, 976, 22602])).
% 73.43/46.62 tff(22611,plain,
% 73.43/46.62 (v127(constB143, bitIndex1)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22459, 22610])).
% 73.43/46.62 tff(22612,plain,
% 73.43/46.62 (v129(constB144, bitIndex1)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22464, 22611])).
% 73.43/46.62 tff(22613,plain,
% 73.43/46.62 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22471, 1020, 22612])).
% 73.43/46.62 tff(22614,plain,
% 73.43/46.62 (v90(constB144, bitIndex1)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22613, 22609])).
% 73.43/46.62 tff(22615,plain,
% 73.43/46.62 (v90(constB145, bitIndex1)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22481, 22614])).
% 73.43/46.62 tff(22616,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22617,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22618,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 73.43/46.62 tff(22619,plain,
% 73.43/46.62 (~v119(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22618, 1207, 22615])).
% 73.43/46.62 tff(22620,plain,
% 73.43/46.62 (v130(constB143, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22405, 917, 22602])).
% 73.43/46.62 tff(22621,plain,
% 73.43/46.62 (v127(constB143, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22410, 22620])).
% 73.43/46.62 tff(22622,plain,
% 73.43/46.62 (v129(constB144, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22415, 22621])).
% 73.43/46.62 tff(22623,plain,
% 73.43/46.62 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22422, 626, 22622])).
% 73.43/46.62 tff(22624,plain,
% 73.43/46.62 (v90(constB144, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22623, 22609])).
% 73.43/46.62 tff(22625,plain,
% 73.43/46.62 (v90(constB145, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22450, 22624])).
% 73.43/46.62 tff(22626,plain,
% 73.43/46.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22627,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22628,plain,
% 73.43/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 73.43/46.62 tff(22629,plain,
% 73.43/46.62 (~v122(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22628, 1193, 22625])).
% 73.43/46.62 tff(22630,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22631,plain,
% 73.43/46.62 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22632,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22631])).
% 73.43/46.62 tff(22633,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22632, 22630])).
% 73.43/46.62 tff(22634,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22635,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 73.43/46.62 tff(22636,plain,
% 73.43/46.62 (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22635, 1254, 22588])).
% 73.43/46.62 tff(22637,plain,
% 73.43/46.62 ($false),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22636, 22629, 22619, 22601, 22597, 22596, 22592])).
% 73.43/46.62 tff(22638,plain,((~v123(constB143)) | v123(constB145) | (~v130(constB145, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 73.43/46.62 tff(22639,plain,
% 73.43/46.62 (~v130(constB145, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22638, 22587, 22331])).
% 73.43/46.62 tff(22640,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22641,plain,
% 73.43/46.62 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22642,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22641])).
% 73.43/46.62 tff(22643,plain,
% 73.43/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22642, 22640])).
% 73.43/46.62 tff(22644,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22645,plain,
% 73.43/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22644, 22643])).
% 73.43/46.62 tff(22646,plain,
% 73.43/46.62 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22645, 1271, 22528])).
% 73.43/46.62 tff(22647,plain,
% 73.43/46.62 (~v127(constB145, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22646, 22639])).
% 73.43/46.62 tff(22648,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22649,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22650,plain,
% 73.43/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22649, 22648])).
% 73.43/46.62 tff(22651,plain,
% 73.43/46.62 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22650, 1289, 22543])).
% 73.43/46.62 tff(22652,plain,
% 73.43/46.62 (~v129(constB146, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22651, 22647])).
% 73.43/46.62 tff(22653,plain,
% 73.43/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22654,plain,
% 73.43/46.62 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22655,plain,
% 73.43/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))))),
% 73.43/46.62 inference(monotonicity,[status(thm)],[22654])).
% 73.43/46.62 tff(22656,plain,
% 73.43/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.43/46.62 inference(transitivity,[status(thm)],[22655, 22653])).
% 73.43/46.62 tff(22657,plain,
% 73.43/46.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 73.43/46.62 inference(quant_inst,[status(thm)],[])).
% 73.43/46.62 tff(22658,plain,
% 73.43/46.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 73.43/46.62 tff(22659,plain,
% 73.43/46.62 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22658, 1304, 22652])).
% 73.43/46.62 tff(22660,plain,
% 73.43/46.62 (~v90(constB146, bitIndex2)),
% 73.43/46.62 inference(unit_resolution,[status(thm)],[22659, 22583])).
% 73.43/46.62 tff(22661,plain,
% 73.43/46.62 ((~v1(constB147)) <=> (~v1(constB147))),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22662,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 73.43/46.62 tff(22663,plain,
% 73.43/46.62 (~v1(constB147)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 73.43/46.62 tff(22664,plain,
% 73.43/46.62 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 73.43/46.62 inference(rewrite,[status(thm)],[])).
% 73.43/46.62 tff(22665,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 73.43/46.62 tff(22666,plain,
% 73.43/46.62 (nextState(constB146, constB147)),
% 73.43/46.62 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 73.43/46.62 tff(22667,plain,
% 73.43/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22668,plain,
% 73.43/46.63 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22669,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22668])).
% 73.43/46.63 tff(22670,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22669, 22667])).
% 73.43/46.63 tff(22671,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22672,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22671, 22670])).
% 73.43/46.63 tff(22673,plain,
% 73.43/46.63 (~v101(constB147)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22672, 288, 22666, 22663])).
% 73.43/46.63 tff(22674,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22675,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22676,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22675, 22674])).
% 73.43/46.63 tff(22677,plain,
% 73.43/46.63 (v101(constB147) | (~v100(constB147))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22676, 305, 22666])).
% 73.43/46.63 tff(22678,plain,
% 73.43/46.63 (~v100(constB147)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22677, 22673])).
% 73.43/46.63 tff(22679,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22680,plain,
% 73.43/46.63 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22681,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22680])).
% 73.43/46.63 tff(22682,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22681, 22679])).
% 73.43/46.63 tff(22683,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22684,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 73.43/46.63 tff(22685,plain,
% 73.43/46.63 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22684, 320, 22666])).
% 73.43/46.63 tff(22686,plain,
% 73.43/46.63 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22685, 22678])).
% 73.43/46.63 tff(22687,plain,
% 73.43/46.63 (~v90(constB147, bitIndex2)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22686, 22660])).
% 73.43/46.63 tff(22688,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22689,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22690,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 73.43/46.63 tff(22691,plain,
% 73.43/46.63 (~v124(constB145)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22690, 1229, 22482])).
% 73.43/46.63 tff(22692,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22693,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22694,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22693, 22692])).
% 73.43/46.63 tff(22695,plain,
% 73.43/46.63 (~v120(constB145)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22694, 1240, 22482])).
% 73.43/46.63 tff(22696,plain,
% 73.43/46.63 (~v122(constB145)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22628, 1193, 22451])).
% 73.43/46.63 tff(22697,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22698,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22699,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22698, 22697])).
% 73.43/46.63 tff(22700,plain,
% 73.43/46.63 (~v121(constB145)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22699, 1182, 22451])).
% 73.43/46.63 tff(22701,plain,
% 73.43/46.63 (~v119(constB145)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22618, 1207, 22482])).
% 73.43/46.63 tff(22702,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22703,plain,
% 73.43/46.63 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22704,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22703])).
% 73.43/46.63 tff(22705,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22704, 22702])).
% 73.43/46.63 tff(22706,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22707,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 73.43/46.63 tff(22708,plain,
% 73.43/46.63 (~v130(constB145, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22707, 1349, 22701, 22700, 22696, 22587, 22695, 22691])).
% 73.43/46.63 tff(22709,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22710,plain,
% 73.43/46.63 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22711,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22710])).
% 73.43/46.63 tff(22712,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22711, 22709])).
% 73.43/46.63 tff(22713,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22714,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22713, 22712])).
% 73.43/46.63 tff(22715,plain,
% 73.43/46.63 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22714, 695, 22528])).
% 73.43/46.63 tff(22716,plain,
% 73.43/46.63 (~v127(constB145, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22715, 22708])).
% 73.43/46.63 tff(22717,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22718,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22719,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 73.43/46.63 tff(22720,plain,
% 73.43/46.63 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22719, 713, 22543])).
% 73.43/46.63 tff(22721,plain,
% 73.43/46.63 (~v129(constB146, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22720, 22716])).
% 73.43/46.63 tff(22722,plain,
% 73.43/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22723,plain,
% 73.43/46.63 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22724,plain,
% 73.43/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22723])).
% 73.43/46.63 tff(22725,plain,
% 73.43/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22724, 22722])).
% 73.43/46.63 tff(22726,plain,
% 73.43/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22727,plain,
% 73.43/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22726, 22725])).
% 73.43/46.63 tff(22728,plain,
% 73.43/46.63 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22727, 728, 22721])).
% 73.43/46.63 tff(22729,plain,
% 73.43/46.63 (~v90(constB146, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22728, 22583])).
% 73.43/46.63 tff(22730,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22731,plain,
% 73.43/46.63 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22732,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22731])).
% 73.43/46.63 tff(22733,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22732, 22730])).
% 73.43/46.63 tff(22734,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22735,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 73.43/46.63 tff(22736,plain,
% 73.43/46.63 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22735, 341, 22666])).
% 73.43/46.63 tff(22737,plain,
% 73.43/46.63 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22736, 22678])).
% 73.43/46.63 tff(22738,plain,
% 73.43/46.63 (~v90(constB147, bitIndex1)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22737, 22729])).
% 73.43/46.63 tff(22739,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22740,plain,
% 73.43/46.63 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22741,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22740])).
% 73.43/46.63 tff(22742,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22741, 22739])).
% 73.43/46.63 tff(22743,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22744,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 73.43/46.63 tff(22745,plain,
% 73.43/46.63 (v130(constB145, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22744, 1396, 22701, 22700, 22696, 22587, 22695, 22691])).
% 73.43/46.63 tff(22746,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22747,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22748,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 73.43/46.63 tff(22749,plain,
% 73.43/46.63 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22748, 1413, 22528])).
% 73.43/46.63 tff(22750,plain,
% 73.43/46.63 (v127(constB145, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22749, 22745])).
% 73.43/46.63 tff(22751,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22752,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22753,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22752, 22751])).
% 73.43/46.63 tff(22754,plain,
% 73.43/46.63 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22753, 1428, 22543])).
% 73.43/46.63 tff(22755,plain,
% 73.43/46.63 (v129(constB146, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22754, 22750])).
% 73.43/46.63 tff(22756,plain,
% 73.43/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22757,plain,
% 73.43/46.63 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22758,plain,
% 73.43/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22757])).
% 73.43/46.63 tff(22759,plain,
% 73.43/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22758, 22756])).
% 73.43/46.63 tff(22760,plain,
% 73.43/46.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22761,plain,
% 73.43/46.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 73.43/46.63 tff(22762,plain,
% 73.43/46.63 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22761, 1443, 22755])).
% 73.43/46.63 tff(22763,plain,
% 73.43/46.63 (v90(constB146, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22762, 22583])).
% 73.43/46.63 tff(22764,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22765,plain,
% 73.43/46.63 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22766,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22765])).
% 73.43/46.63 tff(22767,plain,
% 73.43/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22766, 22764])).
% 73.43/46.63 tff(22768,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22769,plain,
% 73.43/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22768, 22767])).
% 73.43/46.63 tff(22770,plain,
% 73.43/46.63 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22769, 1461, 22666])).
% 73.43/46.63 tff(22771,plain,
% 73.43/46.63 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22770, 22678])).
% 73.43/46.63 tff(22772,plain,
% 73.43/46.63 (v90(constB147, bitIndex0)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22771, 22763])).
% 73.43/46.63 tff(22773,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22774,plain,
% 73.43/46.63 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22775,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)))),
% 73.43/46.63 inference(monotonicity,[status(thm)],[22774])).
% 73.43/46.63 tff(22776,plain,
% 73.43/46.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.43/46.63 inference(transitivity,[status(thm)],[22775, 22773])).
% 73.43/46.63 tff(22777,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22778,plain,
% 73.43/46.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 73.43/46.63 tff(22779,plain,
% 73.43/46.63 (v120(constB147)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22778, 1480, 22772, 22738, 22687])).
% 73.43/46.63 tff(22780,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.63 tff(22781,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 73.43/46.63 inference(quant_inst,[status(thm)],[])).
% 73.43/46.63 tff(22782,plain,
% 73.43/46.63 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 73.43/46.63 inference(modus_ponens,[status(thm)],[22781, 22780])).
% 73.43/46.63 tff(22783,plain,
% 73.43/46.63 (v118(constB147)),
% 73.43/46.63 inference(unit_resolution,[status(thm)],[22782, 1494, 22779])).
% 73.43/46.63 tff(22784,plain,
% 73.43/46.63 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 73.43/46.63 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22785,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22786,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22785, 22784])).
% 73.43/46.64 tff(22787,plain,
% 73.43/46.64 (v117(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22786, 405, 22783])).
% 73.43/46.64 tff(22788,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22789,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22790,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22789, 22788])).
% 73.43/46.64 tff(22791,plain,
% 73.43/46.64 (v116(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22790, 416, 22787])).
% 73.43/46.64 tff(22792,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22793,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22794,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 73.43/46.64 tff(22795,plain,
% 73.43/46.64 (v115(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22794, 427, 22791])).
% 73.43/46.64 tff(22796,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22797,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22798,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 73.43/46.64 tff(22799,plain,
% 73.43/46.64 (v114(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22798, 438, 22795])).
% 73.43/46.64 tff(22800,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22801,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22802,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 73.43/46.64 tff(22803,plain,
% 73.43/46.64 (v113(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22802, 449, 22799])).
% 73.43/46.64 tff(22804,assumption,(v26(constB147)), introduced(assumption)).
% 73.43/46.64 tff(22805,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22806,plain,
% 73.43/46.64 ($false),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22805, 26, 22804])).
% 73.43/46.64 tff(22807,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 73.43/46.64 tff(22808,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22809,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22810,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 73.43/46.64 tff(22811,plain,
% 73.43/46.64 ((~v113(constB147)) | v112(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22810, 463, 22807])).
% 73.43/46.64 tff(22812,plain,
% 73.43/46.64 (v112(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22811, 22803])).
% 73.43/46.64 tff(22813,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22814,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22815,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 73.43/46.64 tff(22816,plain,
% 73.43/46.64 (v108(constB147)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22815, 475, 22812])).
% 73.43/46.64 tff(22817,plain,
% 73.43/46.64 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22818,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 73.43/46.64 tff(22819,plain,
% 73.43/46.64 (nextState(constB147, constB148)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 73.43/46.64 tff(22820,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22821,plain,
% 73.43/46.64 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22822,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22821])).
% 73.43/46.64 tff(22823,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22822, 22820])).
% 73.43/46.64 tff(22824,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22825,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 73.43/46.64 tff(22826,plain,
% 73.43/46.64 (v110(constB148) | (~v108(constB147))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22825, 492, 22819])).
% 73.43/46.64 tff(22827,plain,
% 73.43/46.64 (v110(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22826, 22816])).
% 73.43/46.64 tff(22828,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22829,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22830,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 73.43/46.64 tff(22831,plain,
% 73.43/46.64 (~v104(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22830, 510, 22819, 22663])).
% 73.43/46.64 tff(22832,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22833,plain,
% 73.43/46.64 (((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22834,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22833])).
% 73.43/46.64 tff(22835,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22834, 22832])).
% 73.43/46.64 tff(22836,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22837,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 73.43/46.64 tff(22838,plain,
% 73.43/46.64 (v104(constB148) | v102(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22837, 524, 22819])).
% 73.43/46.64 tff(22839,plain,
% 73.43/46.64 (v102(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22838, 22831])).
% 73.43/46.64 tff(22840,plain,
% 73.43/46.64 (v1(constB148) <=> v1(constB148)),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22841,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 73.43/46.64 tff(22842,plain,
% 73.43/46.64 (v1(constB148)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 73.43/46.64 tff(22843,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22844,plain,
% 73.43/46.64 (((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))) <=> ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22845,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22844])).
% 73.43/46.64 tff(22846,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22845, 22843])).
% 73.43/46.64 tff(22847,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22848,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22847, 22846])).
% 73.43/46.64 tff(22849,plain,
% 73.43/46.64 (v101(constB148) | (~v102(constB148))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22848, 545, 22819, 22842])).
% 73.43/46.64 tff(22850,plain,
% 73.43/46.64 (v101(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22849, 22839])).
% 73.43/46.64 tff(22851,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22852,plain,
% 73.43/46.64 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22853,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22852])).
% 73.43/46.64 tff(22854,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22853, 22851])).
% 73.43/46.64 tff(22855,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22856,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22855, 22854])).
% 73.43/46.64 tff(22857,plain,
% 73.43/46.64 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22856, 563, 22819])).
% 73.43/46.64 tff(22858,plain,
% 73.43/46.64 (v100(constB148) | (~v110(constB148))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22857, 22850])).
% 73.43/46.64 tff(22859,plain,
% 73.43/46.64 (v100(constB148)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22858, 22827])).
% 73.43/46.64 tff(22860,plain,
% 73.43/46.64 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22861,plain,
% 73.43/46.64 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22862,plain,
% 73.43/46.64 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22861, 22860])).
% 73.43/46.64 tff(22863,plain,
% 73.43/46.64 (~v130(constB147, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22862, 1587, 22779])).
% 73.43/46.64 tff(22864,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22865,plain,
% 73.43/46.64 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22866,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22865])).
% 73.43/46.64 tff(22867,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22866, 22864])).
% 73.43/46.64 tff(22868,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22869,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22868, 22867])).
% 73.43/46.64 tff(22870,plain,
% 73.43/46.64 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22869, 1271, 22807])).
% 73.43/46.64 tff(22871,plain,
% 73.43/46.64 (~v127(constB147, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22870, 22863])).
% 73.43/46.64 tff(22872,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22873,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22874,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22873, 22872])).
% 73.43/46.64 tff(22875,plain,
% 73.43/46.64 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22874, 1289, 22819])).
% 73.43/46.64 tff(22876,plain,
% 73.43/46.64 (~v129(constB148, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22875, 22871])).
% 73.43/46.64 tff(22877,plain,
% 73.43/46.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22878,plain,
% 73.43/46.64 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22879,plain,
% 73.43/46.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22878])).
% 73.43/46.64 tff(22880,plain,
% 73.43/46.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22879, 22877])).
% 73.43/46.64 tff(22881,plain,
% 73.43/46.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22882,plain,
% 73.43/46.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 73.43/46.64 tff(22883,plain,
% 73.43/46.64 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22882, 1304, 22876])).
% 73.43/46.64 tff(22884,plain,
% 73.43/46.64 (~v90(constB148, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22883, 22859])).
% 73.43/46.64 tff(22885,plain,
% 73.43/46.64 ((~v1(constB149)) <=> (~v1(constB149))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22886,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 73.43/46.64 tff(22887,plain,
% 73.43/46.64 (~v1(constB149)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 73.43/46.64 tff(22888,plain,
% 73.43/46.64 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22889,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 73.43/46.64 tff(22890,plain,
% 73.43/46.64 (nextState(constB148, constB149)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 73.43/46.64 tff(22891,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22892,plain,
% 73.43/46.64 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22893,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22892])).
% 73.43/46.64 tff(22894,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22893, 22891])).
% 73.43/46.64 tff(22895,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22896,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22895, 22894])).
% 73.43/46.64 tff(22897,plain,
% 73.43/46.64 (~v101(constB149)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22896, 288, 22890, 22887])).
% 73.43/46.64 tff(22898,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22899,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22900,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22899, 22898])).
% 73.43/46.64 tff(22901,plain,
% 73.43/46.64 (v101(constB149) | (~v100(constB149))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22900, 305, 22890])).
% 73.43/46.64 tff(22902,plain,
% 73.43/46.64 (~v100(constB149)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22901, 22897])).
% 73.43/46.64 tff(22903,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22904,plain,
% 73.43/46.64 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22905,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22904])).
% 73.43/46.64 tff(22906,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22905, 22903])).
% 73.43/46.64 tff(22907,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22908,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 73.43/46.64 tff(22909,plain,
% 73.43/46.64 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22908, 320, 22890])).
% 73.43/46.64 tff(22910,plain,
% 73.43/46.64 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22909, 22902])).
% 73.43/46.64 tff(22911,plain,
% 73.43/46.64 (~v90(constB149, bitIndex2)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22910, 22884])).
% 73.43/46.64 tff(22912,plain,
% 73.43/46.64 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22913,plain,
% 73.43/46.64 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22914,plain,
% 73.43/46.64 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 73.43/46.64 tff(22915,plain,
% 73.43/46.64 (v130(constB147, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22914, 1649, 22779])).
% 73.43/46.64 tff(22916,plain,
% 73.43/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22917,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22918,plain,
% 73.43/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22917, 22916])).
% 73.43/46.64 tff(22919,plain,
% 73.43/46.64 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22918, 990, 22807])).
% 73.43/46.64 tff(22920,plain,
% 73.43/46.64 (v127(constB147, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22919, 22915])).
% 73.43/46.64 tff(22921,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22922,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22923,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22922, 22921])).
% 73.43/46.64 tff(22924,plain,
% 73.43/46.64 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22923, 1005, 22819])).
% 73.43/46.64 tff(22925,plain,
% 73.43/46.64 (v129(constB148, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22924, 22920])).
% 73.43/46.64 tff(22926,plain,
% 73.43/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22927,plain,
% 73.43/46.64 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22928,plain,
% 73.43/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22927])).
% 73.43/46.64 tff(22929,plain,
% 73.43/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22928, 22926])).
% 73.43/46.64 tff(22930,plain,
% 73.43/46.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 73.43/46.64 inference(quant_inst,[status(thm)],[])).
% 73.43/46.64 tff(22931,plain,
% 73.43/46.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 73.43/46.64 inference(modus_ponens,[status(thm)],[22930, 22929])).
% 73.43/46.64 tff(22932,plain,
% 73.43/46.64 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22931, 1020, 22925])).
% 73.43/46.64 tff(22933,plain,
% 73.43/46.64 (v90(constB148, bitIndex1)),
% 73.43/46.64 inference(unit_resolution,[status(thm)],[22932, 22859])).
% 73.43/46.64 tff(22934,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22935,plain,
% 73.43/46.64 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.43/46.64 inference(rewrite,[status(thm)],[])).
% 73.43/46.64 tff(22936,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 73.43/46.64 inference(monotonicity,[status(thm)],[22935])).
% 73.43/46.64 tff(22937,plain,
% 73.43/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.43/46.64 inference(transitivity,[status(thm)],[22936, 22934])).
% 73.43/46.64 tff(22938,plain,
% 73.43/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22939,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 73.43/46.65 tff(22940,plain,
% 73.43/46.65 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22939, 1038, 22890])).
% 73.43/46.65 tff(22941,plain,
% 73.43/46.65 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22940, 22902])).
% 73.43/46.65 tff(22942,plain,
% 73.43/46.65 (v90(constB149, bitIndex1)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22941, 22933])).
% 73.43/46.65 tff(22943,plain,
% 73.43/46.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22944,plain,
% 73.43/46.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22945,plain,
% 73.43/46.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22944, 22943])).
% 73.43/46.65 tff(22946,plain,
% 73.43/46.65 (~v130(constB147, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22945, 1690, 22779])).
% 73.43/46.65 tff(22947,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22948,plain,
% 73.43/46.65 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22949,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[22948])).
% 73.43/46.65 tff(22950,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.43/46.65 inference(transitivity,[status(thm)],[22949, 22947])).
% 73.43/46.65 tff(22951,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22952,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 73.43/46.65 tff(22953,plain,
% 73.43/46.65 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22952, 769, 22807])).
% 73.43/46.65 tff(22954,plain,
% 73.43/46.65 (~v127(constB147, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22953, 22946])).
% 73.43/46.65 tff(22955,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22956,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22957,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22956, 22955])).
% 73.43/46.65 tff(22958,plain,
% 73.43/46.65 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22957, 787, 22819])).
% 73.43/46.65 tff(22959,plain,
% 73.43/46.65 (~v129(constB148, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22958, 22954])).
% 73.43/46.65 tff(22960,plain,
% 73.43/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22961,plain,
% 73.43/46.65 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22962,plain,
% 73.43/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[22961])).
% 73.43/46.65 tff(22963,plain,
% 73.43/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.43/46.65 inference(transitivity,[status(thm)],[22962, 22960])).
% 73.43/46.65 tff(22964,plain,
% 73.43/46.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22965,plain,
% 73.43/46.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 73.43/46.65 tff(22966,plain,
% 73.43/46.65 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22965, 802, 22959])).
% 73.43/46.65 tff(22967,plain,
% 73.43/46.65 (~v90(constB148, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22966, 22859])).
% 73.43/46.65 tff(22968,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22969,plain,
% 73.43/46.65 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22970,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[22969])).
% 73.43/46.65 tff(22971,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.43/46.65 inference(transitivity,[status(thm)],[22970, 22968])).
% 73.43/46.65 tff(22972,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22973,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 73.43/46.65 tff(22974,plain,
% 73.43/46.65 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22973, 362, 22890])).
% 73.43/46.65 tff(22975,plain,
% 73.43/46.65 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22974, 22902])).
% 73.43/46.65 tff(22976,plain,
% 73.43/46.65 (~v90(constB149, bitIndex0)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22975, 22967])).
% 73.43/46.65 tff(22977,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22978,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22979,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22978, 22977])).
% 73.43/46.65 tff(22980,plain,
% 73.43/46.65 (v121(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22979, 1734, 22976, 22942, 22911])).
% 73.43/46.65 tff(22981,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22982,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22983,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 73.43/46.65 tff(22984,plain,
% 73.43/46.65 (v117(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22983, 1775, 22980])).
% 73.43/46.65 tff(22985,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22986,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22987,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 73.43/46.65 tff(22988,plain,
% 73.43/46.65 (v116(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22987, 416, 22984])).
% 73.43/46.65 tff(22989,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22990,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22991,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22990, 22989])).
% 73.43/46.65 tff(22992,plain,
% 73.43/46.65 (v115(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22991, 427, 22988])).
% 73.43/46.65 tff(22993,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22994,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22995,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 73.43/46.65 tff(22996,plain,
% 73.43/46.65 (v114(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22995, 438, 22992])).
% 73.43/46.65 tff(22997,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(22998,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(22999,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 73.43/46.65 tff(23000,plain,
% 73.43/46.65 (v113(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[22999, 449, 22996])).
% 73.43/46.65 tff(23001,assumption,(~v108(constB149)), introduced(assumption)).
% 73.43/46.65 tff(23002,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23003,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23004,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23003, 23002])).
% 73.43/46.65 tff(23005,plain,
% 73.43/46.65 (~v112(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23004, 475, 23001])).
% 73.43/46.65 tff(23006,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB149) | (~v26(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB149) | (~v26(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23007,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB149) | (~v26(constB149)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23008,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB149) | (~v26(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23007, 23006])).
% 73.43/46.65 tff(23009,plain,
% 73.43/46.65 (~v26(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23008, 1807, 23001])).
% 73.43/46.65 tff(23010,assumption,(v113(constB149)), introduced(assumption)).
% 73.43/46.65 tff(23011,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23012,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23013,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23012, 23011])).
% 73.43/46.65 tff(23014,plain,
% 73.43/46.65 (v26(constB149) | v112(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23013, 463, 23010])).
% 73.43/46.65 tff(23015,plain,
% 73.43/46.65 ($false),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23014, 23009, 23005])).
% 73.43/46.65 tff(23016,plain,(v108(constB149) | (~v113(constB149))), inference(lemma,lemma(discharge,[]))).
% 73.43/46.65 tff(23017,plain,
% 73.43/46.65 (v108(constB149)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23016, 23000])).
% 73.43/46.65 tff(23018,plain,
% 73.43/46.65 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23019,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 73.43/46.65 tff(23020,plain,
% 73.43/46.65 (nextState(constB149, constB150)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 73.43/46.65 tff(23021,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23022,plain,
% 73.43/46.65 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23023,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[23022])).
% 73.43/46.65 tff(23024,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.43/46.65 inference(transitivity,[status(thm)],[23023, 23021])).
% 73.43/46.65 tff(23025,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23026,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 73.43/46.65 tff(23027,plain,
% 73.43/46.65 (v110(constB150) | (~v108(constB149))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23026, 492, 23020])).
% 73.43/46.65 tff(23028,plain,
% 73.43/46.65 (v110(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23027, 23017])).
% 73.43/46.65 tff(23029,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23030,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23031,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23030, 23029])).
% 73.43/46.65 tff(23032,plain,
% 73.43/46.65 (~v104(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23031, 510, 23020, 22887])).
% 73.43/46.65 tff(23033,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23034,plain,
% 73.43/46.65 (((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23035,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[23034])).
% 73.43/46.65 tff(23036,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 73.43/46.65 inference(transitivity,[status(thm)],[23035, 23033])).
% 73.43/46.65 tff(23037,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23038,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 73.43/46.65 tff(23039,plain,
% 73.43/46.65 (v104(constB150) | v102(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23038, 524, 23020])).
% 73.43/46.65 tff(23040,plain,
% 73.43/46.65 (v102(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23039, 23032])).
% 73.43/46.65 tff(23041,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23042,plain,
% 73.43/46.65 (((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))) <=> ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23043,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[23042])).
% 73.43/46.65 tff(23044,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 73.43/46.65 inference(transitivity,[status(thm)],[23043, 23041])).
% 73.43/46.65 tff(23045,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23046,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 73.43/46.65 tff(23047,plain,
% 73.43/46.65 (v101(constB150) | (~v102(constB150))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23046, 545, 23020, 12520])).
% 73.43/46.65 tff(23048,plain,
% 73.43/46.65 (v101(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23047, 23040])).
% 73.43/46.65 tff(23049,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23050,plain,
% 73.43/46.65 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23051,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[23050])).
% 73.43/46.65 tff(23052,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.43/46.65 inference(transitivity,[status(thm)],[23051, 23049])).
% 73.43/46.65 tff(23053,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23054,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23053, 23052])).
% 73.43/46.65 tff(23055,plain,
% 73.43/46.65 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23054, 563, 23020])).
% 73.43/46.65 tff(23056,plain,
% 73.43/46.65 (v100(constB150) | (~v110(constB150))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23055, 23048])).
% 73.43/46.65 tff(23057,plain,
% 73.43/46.65 (v100(constB150)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23056, 23028])).
% 73.43/46.65 tff(23058,plain,
% 73.43/46.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23059,plain,
% 73.43/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23060,plain,
% 73.43/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 73.43/46.65 tff(23061,plain,
% 73.43/46.65 (~v130(constB149, bitIndex2)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23060, 1748, 22980])).
% 73.43/46.65 tff(23062,assumption,(v26(constB149)), introduced(assumption)).
% 73.43/46.65 tff(23063,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23064,plain,
% 73.43/46.65 ($false),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23063, 26, 23062])).
% 73.43/46.65 tff(23065,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 73.43/46.65 tff(23066,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23067,plain,
% 73.43/46.65 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23068,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 73.43/46.65 inference(monotonicity,[status(thm)],[23067])).
% 73.43/46.65 tff(23069,plain,
% 73.43/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.43/46.65 inference(transitivity,[status(thm)],[23068, 23066])).
% 73.43/46.65 tff(23070,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23071,plain,
% 73.43/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 73.43/46.65 tff(23072,plain,
% 73.43/46.65 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23071, 1271, 23065])).
% 73.43/46.65 tff(23073,plain,
% 73.43/46.65 (~v127(constB149, bitIndex2)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23072, 23061])).
% 73.43/46.65 tff(23074,plain,
% 73.43/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.65 tff(23075,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 73.43/46.65 inference(quant_inst,[status(thm)],[])).
% 73.43/46.65 tff(23076,plain,
% 73.43/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 73.43/46.65 inference(modus_ponens,[status(thm)],[23075, 23074])).
% 73.43/46.65 tff(23077,plain,
% 73.43/46.65 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23076, 1289, 23020])).
% 73.43/46.65 tff(23078,plain,
% 73.43/46.65 (~v129(constB150, bitIndex2)),
% 73.43/46.65 inference(unit_resolution,[status(thm)],[23077, 23073])).
% 73.43/46.65 tff(23079,plain,
% 73.43/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.43/46.65 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23080,plain,
% 73.43/46.66 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23081,plain,
% 73.43/46.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23080])).
% 73.43/46.66 tff(23082,plain,
% 73.43/46.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23081, 23079])).
% 73.43/46.66 tff(23083,plain,
% 73.43/46.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23084,plain,
% 73.43/46.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 73.43/46.66 tff(23085,plain,
% 73.43/46.66 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23084, 1304, 23078])).
% 73.43/46.66 tff(23086,plain,
% 73.43/46.66 (~v90(constB150, bitIndex2)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23085, 23057])).
% 73.43/46.66 tff(23087,plain,
% 73.43/46.66 ((~v1(constB151)) <=> (~v1(constB151))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23088,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 73.43/46.66 tff(23089,plain,
% 73.43/46.66 (~v1(constB151)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23088, 23087])).
% 73.43/46.66 tff(23090,plain,
% 73.43/46.66 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23091,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 73.43/46.66 tff(23092,plain,
% 73.43/46.66 (nextState(constB150, constB151)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 73.43/46.66 tff(23093,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23094,plain,
% 73.43/46.66 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23095,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23094])).
% 73.43/46.66 tff(23096,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23095, 23093])).
% 73.43/46.66 tff(23097,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23098,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23097, 23096])).
% 73.43/46.66 tff(23099,plain,
% 73.43/46.66 (~v101(constB151)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23098, 288, 23092, 23089])).
% 73.43/46.66 tff(23100,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23101,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23102,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 73.43/46.66 tff(23103,plain,
% 73.43/46.66 (v101(constB151) | (~v100(constB151))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23102, 305, 23092])).
% 73.43/46.66 tff(23104,plain,
% 73.43/46.66 (~v100(constB151)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23103, 23099])).
% 73.43/46.66 tff(23105,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23106,plain,
% 73.43/46.66 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23107,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23106])).
% 73.43/46.66 tff(23108,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23107, 23105])).
% 73.43/46.66 tff(23109,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23110,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 73.43/46.66 tff(23111,plain,
% 73.43/46.66 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23110, 320, 23092])).
% 73.43/46.66 tff(23112,plain,
% 73.43/46.66 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23111, 23104])).
% 73.43/46.66 tff(23113,plain,
% 73.43/46.66 (~v90(constB151, bitIndex2)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23112, 23086])).
% 73.43/46.66 tff(23114,plain,
% 73.43/46.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23115,plain,
% 73.43/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23116,plain,
% 73.43/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23115, 23114])).
% 73.43/46.66 tff(23117,plain,
% 73.43/46.66 (v130(constB149, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23116, 1904, 22980])).
% 73.43/46.66 tff(23118,plain,
% 73.43/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23119,plain,
% 73.43/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23120,plain,
% 73.43/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23119, 23118])).
% 73.43/46.66 tff(23121,plain,
% 73.43/46.66 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23120, 990, 23065])).
% 73.43/46.66 tff(23122,plain,
% 73.43/46.66 (v127(constB149, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23121, 23117])).
% 73.43/46.66 tff(23123,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23124,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23125,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23124, 23123])).
% 73.43/46.66 tff(23126,plain,
% 73.43/46.66 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23125, 1005, 23020])).
% 73.43/46.66 tff(23127,plain,
% 73.43/46.66 (v129(constB150, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23126, 23122])).
% 73.43/46.66 tff(23128,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23129,plain,
% 73.43/46.66 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23130,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23129])).
% 73.43/46.66 tff(23131,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23130, 23128])).
% 73.43/46.66 tff(23132,plain,
% 73.43/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23133,plain,
% 73.43/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 73.43/46.66 tff(23134,plain,
% 73.43/46.66 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23133, 1020, 23127])).
% 73.43/46.66 tff(23135,plain,
% 73.43/46.66 (v90(constB150, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23134, 23057])).
% 73.43/46.66 tff(23136,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23137,plain,
% 73.43/46.66 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23138,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23137])).
% 73.43/46.66 tff(23139,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23138, 23136])).
% 73.43/46.66 tff(23140,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23141,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23140, 23139])).
% 73.43/46.66 tff(23142,plain,
% 73.43/46.66 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23141, 1038, 23092])).
% 73.43/46.66 tff(23143,plain,
% 73.43/46.66 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23142, 23104])).
% 73.43/46.66 tff(23144,plain,
% 73.43/46.66 (v90(constB151, bitIndex1)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23143, 23135])).
% 73.43/46.66 tff(23145,plain,
% 73.43/46.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23146,plain,
% 73.43/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23147,plain,
% 73.43/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 73.43/46.66 tff(23148,plain,
% 73.43/46.66 (v130(constB149, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23147, 1945, 22980])).
% 73.43/46.66 tff(23149,plain,
% 73.43/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23150,plain,
% 73.43/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23151,plain,
% 73.43/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 73.43/46.66 tff(23152,plain,
% 73.43/46.66 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23151, 1413, 23065])).
% 73.43/46.66 tff(23153,plain,
% 73.43/46.66 (v127(constB149, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23152, 23148])).
% 73.43/46.66 tff(23154,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23155,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23156,plain,
% 73.43/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 73.43/46.66 tff(23157,plain,
% 73.43/46.66 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23156, 1428, 23020])).
% 73.43/46.66 tff(23158,plain,
% 73.43/46.66 (v129(constB150, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23157, 23153])).
% 73.43/46.66 tff(23159,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23160,plain,
% 73.43/46.66 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23161,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 73.43/46.66 inference(monotonicity,[status(thm)],[23160])).
% 73.43/46.66 tff(23162,plain,
% 73.43/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.43/46.66 inference(transitivity,[status(thm)],[23161, 23159])).
% 73.43/46.66 tff(23163,plain,
% 73.43/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 73.43/46.66 inference(quant_inst,[status(thm)],[])).
% 73.43/46.66 tff(23164,plain,
% 73.43/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 73.43/46.66 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 73.43/46.66 tff(23165,plain,
% 73.43/46.66 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23164, 1443, 23158])).
% 73.43/46.66 tff(23166,plain,
% 73.43/46.66 (v90(constB150, bitIndex0)),
% 73.43/46.66 inference(unit_resolution,[status(thm)],[23165, 23057])).
% 73.43/46.66 tff(23167,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23168,plain,
% 73.43/46.66 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.43/46.66 inference(rewrite,[status(thm)],[])).
% 73.43/46.66 tff(23169,plain,
% 73.43/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 73.51/46.66 inference(monotonicity,[status(thm)],[23168])).
% 73.51/46.66 tff(23170,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.51/46.66 inference(transitivity,[status(thm)],[23169, 23167])).
% 73.51/46.66 tff(23171,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23172,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 73.51/46.66 tff(23173,plain,
% 73.51/46.66 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23172, 1461, 23092])).
% 73.51/46.66 tff(23174,plain,
% 73.51/46.66 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23173, 23104])).
% 73.51/46.66 tff(23175,plain,
% 73.51/46.66 (v90(constB151, bitIndex0)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23174, 23166])).
% 73.51/46.66 tff(23176,plain,
% 73.51/46.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23177,plain,
% 73.51/46.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23178,plain,
% 73.51/46.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23177, 23176])).
% 73.51/46.66 tff(23179,plain,
% 73.51/46.66 (v122(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23178, 1986, 23175, 23144, 23113])).
% 73.51/46.66 tff(23180,assumption,(v122(constB151)), introduced(assumption)).
% 73.51/46.66 tff(23181,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23182,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23183,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 73.51/46.66 tff(23184,plain,
% 73.51/46.66 (v116(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23183, 1997, 23180])).
% 73.51/46.66 tff(23185,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23186,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23187,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 73.51/46.66 tff(23188,plain,
% 73.51/46.66 (v115(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23187, 427, 23184])).
% 73.51/46.66 tff(23189,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23190,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23191,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 73.51/46.66 tff(23192,plain,
% 73.51/46.66 (v114(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23191, 438, 23188])).
% 73.51/46.66 tff(23193,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23194,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23195,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 73.51/46.66 tff(23196,plain,
% 73.51/46.66 (v113(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23195, 449, 23192])).
% 73.51/46.66 tff(23197,assumption,(v26(constB151)), introduced(assumption)).
% 73.51/46.66 tff(23198,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23199,plain,
% 73.51/46.66 ($false),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23198, 26, 23197])).
% 73.51/46.66 tff(23200,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 73.51/46.66 tff(23201,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23202,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23203,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23202, 23201])).
% 73.51/46.66 tff(23204,plain,
% 73.51/46.66 ((~v113(constB151)) | v112(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23203, 463, 23200])).
% 73.51/46.66 tff(23205,plain,
% 73.51/46.66 (v112(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23204, 23196])).
% 73.51/46.66 tff(23206,plain,
% 73.51/46.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23207,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23208,plain,
% 73.51/46.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 73.51/46.66 tff(23209,plain,
% 73.51/46.66 (v108(constB151)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23208, 475, 23205])).
% 73.51/46.66 tff(23210,plain,
% 73.51/46.66 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23211,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 73.51/46.66 tff(23212,plain,
% 73.51/46.66 (nextState(constB151, constB152)),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23211, 23210])).
% 73.51/46.66 tff(23213,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23214,plain,
% 73.51/46.66 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23215,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 73.51/46.66 inference(monotonicity,[status(thm)],[23214])).
% 73.51/46.66 tff(23216,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.51/46.66 inference(transitivity,[status(thm)],[23215, 23213])).
% 73.51/46.66 tff(23217,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23218,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23217, 23216])).
% 73.51/46.66 tff(23219,plain,
% 73.51/46.66 (v110(constB152) | (~v108(constB151))),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23218, 492, 23212])).
% 73.51/46.66 tff(23220,plain,
% 73.51/46.66 (v110(constB152)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23219, 23209])).
% 73.51/46.66 tff(23221,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 73.51/46.66 inference(rewrite,[status(thm)],[])).
% 73.51/46.66 tff(23222,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 73.51/46.66 inference(quant_inst,[status(thm)],[])).
% 73.51/46.66 tff(23223,plain,
% 73.51/46.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 73.51/46.66 inference(modus_ponens,[status(thm)],[23222, 23221])).
% 73.51/46.66 tff(23224,plain,
% 73.51/46.66 (~v104(constB152)),
% 73.51/46.66 inference(unit_resolution,[status(thm)],[23223, 510, 23212, 23089])).
% 73.51/46.66 tff(23225,plain,
% 73.51/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23226,plain,
% 73.51/46.67 (((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23227,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23226])).
% 73.51/46.67 tff(23228,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23227, 23225])).
% 73.51/46.67 tff(23229,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23230,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 73.51/46.67 tff(23231,plain,
% 73.51/46.67 (v104(constB152) | v102(constB152)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23230, 524, 23212])).
% 73.51/46.67 tff(23232,plain,
% 73.51/46.67 (v102(constB152)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23231, 23224])).
% 73.51/46.67 tff(23233,plain,
% 73.51/46.67 (v1(constB152) <=> v1(constB152)),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23234,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 73.51/46.67 tff(23235,plain,
% 73.51/46.67 (v1(constB152)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 73.51/46.67 tff(23236,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23237,plain,
% 73.51/46.67 (((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))) <=> ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23238,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23237])).
% 73.51/46.67 tff(23239,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23238, 23236])).
% 73.51/46.67 tff(23240,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23241,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23240, 23239])).
% 73.51/46.67 tff(23242,plain,
% 73.51/46.67 (v101(constB152) | (~v102(constB152))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23241, 545, 23212, 23235])).
% 73.51/46.67 tff(23243,plain,
% 73.51/46.67 (v101(constB152)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23242, 23232])).
% 73.51/46.67 tff(23244,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23245,plain,
% 73.51/46.67 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23246,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23245])).
% 73.51/46.67 tff(23247,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23246, 23244])).
% 73.51/46.67 tff(23248,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23249,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23248, 23247])).
% 73.51/46.67 tff(23250,plain,
% 73.51/46.67 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23249, 563, 23212])).
% 73.51/46.67 tff(23251,plain,
% 73.51/46.67 (v100(constB152) | (~v110(constB152))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23250, 23243])).
% 73.51/46.67 tff(23252,plain,
% 73.51/46.67 (v100(constB152)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23251, 23220])).
% 73.51/46.67 tff(23253,plain,
% 73.51/46.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23254,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23255,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23254, 23253])).
% 73.51/46.67 tff(23256,plain,
% 73.51/46.67 (v130(constB151, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23255, 2079, 23180])).
% 73.51/46.67 tff(23257,plain,
% 73.51/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23258,plain,
% 73.51/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23259,plain,
% 73.51/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 73.51/46.67 tff(23260,plain,
% 73.51/46.67 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23259, 596, 23200])).
% 73.51/46.67 tff(23261,plain,
% 73.51/46.67 (v127(constB151, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23260, 23256])).
% 73.51/46.67 tff(23262,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23263,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23264,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23263, 23262])).
% 73.51/46.67 tff(23265,plain,
% 73.51/46.67 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23264, 611, 23212])).
% 73.51/46.67 tff(23266,plain,
% 73.51/46.67 (v129(constB152, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23265, 23261])).
% 73.51/46.67 tff(23267,plain,
% 73.51/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23268,plain,
% 73.51/46.67 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23269,plain,
% 73.51/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23268])).
% 73.51/46.67 tff(23270,plain,
% 73.51/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23269, 23267])).
% 73.51/46.67 tff(23271,plain,
% 73.51/46.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23272,plain,
% 73.51/46.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 73.51/46.67 tff(23273,plain,
% 73.51/46.67 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23272, 626, 23266])).
% 73.51/46.67 tff(23274,plain,
% 73.51/46.67 (v90(constB152, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23273, 23252])).
% 73.51/46.67 tff(23275,plain,
% 73.51/46.67 ((~v1(constB153)) <=> (~v1(constB153))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23276,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 73.51/46.67 tff(23277,plain,
% 73.51/46.67 (~v1(constB153)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23276, 23275])).
% 73.51/46.67 tff(23278,plain,
% 73.51/46.67 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23279,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 73.51/46.67 tff(23280,plain,
% 73.51/46.67 (nextState(constB152, constB153)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 73.51/46.67 tff(23281,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23282,plain,
% 73.51/46.67 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23283,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23282])).
% 73.51/46.67 tff(23284,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23283, 23281])).
% 73.51/46.67 tff(23285,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23286,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 73.51/46.67 tff(23287,plain,
% 73.51/46.67 (~v101(constB153)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23286, 288, 23280, 23277])).
% 73.51/46.67 tff(23288,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23289,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23290,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 73.51/46.67 tff(23291,plain,
% 73.51/46.67 (v101(constB153) | (~v100(constB153))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23290, 305, 23280])).
% 73.51/46.67 tff(23292,plain,
% 73.51/46.67 (~v100(constB153)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23291, 23287])).
% 73.51/46.67 tff(23293,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23294,plain,
% 73.51/46.67 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23295,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23294])).
% 73.51/46.67 tff(23296,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23295, 23293])).
% 73.51/46.67 tff(23297,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23298,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 73.51/46.67 tff(23299,plain,
% 73.51/46.67 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23298, 662, 23280])).
% 73.51/46.67 tff(23300,plain,
% 73.51/46.67 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23299, 23292])).
% 73.51/46.67 tff(23301,plain,
% 73.51/46.67 (v90(constB153, bitIndex2)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23300, 23274])).
% 73.51/46.67 tff(23302,plain,
% 73.51/46.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23303,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23304,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23303, 23302])).
% 73.51/46.67 tff(23305,plain,
% 73.51/46.67 (~v130(constB151, bitIndex0)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23304, 2182, 23180])).
% 73.51/46.67 tff(23306,assumption,(v127(constB151, bitIndex0)), introduced(assumption)).
% 73.51/46.67 tff(23307,assumption,(~v130(constB151, bitIndex0)), introduced(assumption)).
% 73.51/46.67 tff(23308,plain,
% 73.51/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23309,plain,
% 73.51/46.67 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23310,plain,
% 73.51/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23309])).
% 73.51/46.67 tff(23311,plain,
% 73.51/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23310, 23308])).
% 73.51/46.67 tff(23312,plain,
% 73.51/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23313,plain,
% 73.51/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 73.51/46.67 tff(23314,plain,
% 73.51/46.67 ((~v127(constB151, bitIndex0)) | v26(constB151)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23313, 769, 23307])).
% 73.51/46.67 tff(23315,plain,
% 73.51/46.67 (v26(constB151)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23314, 23306])).
% 73.51/46.67 tff(23316,plain,
% 73.51/46.67 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23317,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23318,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23317, 23316])).
% 73.51/46.67 tff(23319,plain,
% 73.51/46.67 ($false),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23318, 3193, 23306, 23315])).
% 73.51/46.67 tff(23320,plain,((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.51/46.67 tff(23321,plain,
% 73.51/46.67 (~v127(constB151, bitIndex0)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23320, 23305])).
% 73.51/46.67 tff(23322,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23323,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23324,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23323, 23322])).
% 73.51/46.67 tff(23325,plain,
% 73.51/46.67 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23324, 787, 23212])).
% 73.51/46.67 tff(23326,plain,
% 73.51/46.67 (~v129(constB152, bitIndex0)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23325, 23321])).
% 73.51/46.67 tff(23327,plain,
% 73.51/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23328,plain,
% 73.51/46.67 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23329,plain,
% 73.51/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23328])).
% 73.51/46.67 tff(23330,plain,
% 73.51/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23329, 23327])).
% 73.51/46.67 tff(23331,plain,
% 73.51/46.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23332,plain,
% 73.51/46.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 73.51/46.67 tff(23333,plain,
% 73.51/46.67 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23332, 802, 23326])).
% 73.51/46.67 tff(23334,plain,
% 73.51/46.67 (~v90(constB152, bitIndex0)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23333, 23252])).
% 73.51/46.67 tff(23335,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23336,plain,
% 73.51/46.67 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23337,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 73.51/46.67 inference(monotonicity,[status(thm)],[23336])).
% 73.51/46.67 tff(23338,plain,
% 73.51/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.51/46.67 inference(transitivity,[status(thm)],[23337, 23335])).
% 73.51/46.67 tff(23339,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23340,plain,
% 73.51/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 73.51/46.67 tff(23341,plain,
% 73.51/46.67 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23340, 362, 23280])).
% 73.51/46.67 tff(23342,plain,
% 73.51/46.67 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23341, 23292])).
% 73.51/46.67 tff(23343,plain,
% 73.51/46.67 (~v90(constB153, bitIndex0)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23342, 23334])).
% 73.51/46.67 tff(23344,plain,
% 73.51/46.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23345,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 73.51/46.67 inference(quant_inst,[status(thm)],[])).
% 73.51/46.67 tff(23346,plain,
% 73.51/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 73.51/46.67 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 73.51/46.67 tff(23347,plain,
% 73.51/46.67 (~v130(constB151, bitIndex1)),
% 73.51/46.67 inference(unit_resolution,[status(thm)],[23346, 2138, 23180])).
% 73.51/46.67 tff(23348,plain,
% 73.51/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.51/46.67 inference(rewrite,[status(thm)],[])).
% 73.51/46.67 tff(23349,plain,
% 73.51/46.68 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23350,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 73.51/46.68 inference(monotonicity,[status(thm)],[23349])).
% 73.51/46.68 tff(23351,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.51/46.68 inference(transitivity,[status(thm)],[23350, 23348])).
% 73.51/46.68 tff(23352,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23353,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 73.51/46.68 tff(23354,plain,
% 73.51/46.68 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23353, 695, 23200])).
% 73.51/46.68 tff(23355,plain,
% 73.51/46.68 (~v127(constB151, bitIndex1)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23354, 23347])).
% 73.51/46.68 tff(23356,plain,
% 73.51/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23357,plain,
% 73.51/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23358,plain,
% 73.51/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23357, 23356])).
% 73.51/46.68 tff(23359,plain,
% 73.51/46.68 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23358, 713, 23212])).
% 73.51/46.68 tff(23360,plain,
% 73.51/46.68 (~v129(constB152, bitIndex1)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23359, 23355])).
% 73.51/46.68 tff(23361,plain,
% 73.51/46.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23362,plain,
% 73.51/46.68 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23363,plain,
% 73.51/46.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 73.51/46.68 inference(monotonicity,[status(thm)],[23362])).
% 73.51/46.68 tff(23364,plain,
% 73.51/46.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.51/46.68 inference(transitivity,[status(thm)],[23363, 23361])).
% 73.51/46.68 tff(23365,plain,
% 73.51/46.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23366,plain,
% 73.51/46.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 73.51/46.68 tff(23367,plain,
% 73.51/46.68 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23366, 728, 23360])).
% 73.51/46.68 tff(23368,plain,
% 73.51/46.68 (~v90(constB152, bitIndex1)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23367, 23252])).
% 73.51/46.68 tff(23369,plain,
% 73.51/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23370,plain,
% 73.51/46.68 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23371,plain,
% 73.51/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 73.51/46.68 inference(monotonicity,[status(thm)],[23370])).
% 73.51/46.68 tff(23372,plain,
% 73.51/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.51/46.68 inference(transitivity,[status(thm)],[23371, 23369])).
% 73.51/46.68 tff(23373,plain,
% 73.51/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23374,plain,
% 73.51/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 73.51/46.68 tff(23375,plain,
% 73.51/46.68 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23374, 341, 23280])).
% 73.51/46.68 tff(23376,plain,
% 73.51/46.68 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23375, 23292])).
% 73.51/46.68 tff(23377,plain,
% 73.51/46.68 (~v90(constB153, bitIndex1)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23376, 23368])).
% 73.51/46.68 tff(23378,assumption,(~v123(constB153)), introduced(assumption)).
% 73.51/46.68 tff(23379,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23380,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23381,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23380, 23379])).
% 73.51/46.68 tff(23382,plain,
% 73.51/46.68 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23381, 829, 23378])).
% 73.51/46.68 tff(23383,plain,
% 73.51/46.68 ($false),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23382, 23377, 23343, 23301])).
% 73.51/46.68 tff(23384,plain,((~v122(constB151)) | v123(constB153)), inference(lemma,lemma(discharge,[]))).
% 73.51/46.68 tff(23385,plain,
% 73.51/46.68 (v123(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23384, 23179])).
% 73.51/46.68 tff(23386,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23387,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23388,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23387, 23386])).
% 73.51/46.68 tff(23389,plain,
% 73.51/46.68 (v115(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23388, 840, 23385])).
% 73.51/46.68 tff(23390,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23391,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23392,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23391, 23390])).
% 73.51/46.68 tff(23393,plain,
% 73.51/46.68 (v114(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23392, 438, 23389])).
% 73.51/46.68 tff(23394,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23395,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23396,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23395, 23394])).
% 73.51/46.68 tff(23397,plain,
% 73.51/46.68 (v113(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23396, 449, 23393])).
% 73.51/46.68 tff(23398,assumption,(v26(constB153)), introduced(assumption)).
% 73.51/46.68 tff(23399,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23400,plain,
% 73.51/46.68 ($false),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23399, 26, 23398])).
% 73.51/46.68 tff(23401,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 73.51/46.68 tff(23402,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23403,plain,
% 73.51/46.68 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23404,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 73.51/46.68 inference(monotonicity,[status(thm)],[23403])).
% 73.51/46.68 tff(23405,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 73.51/46.68 inference(transitivity,[status(thm)],[23404, 23402])).
% 73.51/46.68 tff(23406,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23407,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23406, 23405])).
% 73.51/46.68 tff(23408,plain,
% 73.51/46.68 (v112(constB153) | (~v113(constB153))),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23407, 463, 23401])).
% 73.51/46.68 tff(23409,plain,
% 73.51/46.68 (v112(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23408, 23397])).
% 73.51/46.68 tff(23410,plain,
% 73.51/46.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23411,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 73.51/46.68 inference(quant_inst,[status(thm)],[])).
% 73.51/46.68 tff(23412,plain,
% 73.51/46.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23411, 23410])).
% 73.51/46.68 tff(23413,plain,
% 73.51/46.68 (v108(constB153)),
% 73.51/46.68 inference(unit_resolution,[status(thm)],[23412, 475, 23409])).
% 73.51/46.68 tff(23414,plain,
% 73.51/46.68 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23415,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 73.51/46.68 tff(23416,plain,
% 73.51/46.68 (nextState(constB153, constB154)),
% 73.51/46.68 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 73.51/46.68 tff(23417,plain,
% 73.51/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.51/46.68 tff(23418,plain,
% 73.51/46.68 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.51/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23419,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23418])).
% 73.53/46.68 tff(23420,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23419, 23417])).
% 73.53/46.68 tff(23421,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23422,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 73.53/46.68 tff(23423,plain,
% 73.53/46.68 (v110(constB154) | (~v108(constB153))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23422, 492, 23416])).
% 73.53/46.68 tff(23424,plain,
% 73.53/46.68 (v110(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23423, 23413])).
% 73.53/46.68 tff(23425,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23426,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23427,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23426, 23425])).
% 73.53/46.68 tff(23428,plain,
% 73.53/46.68 (~v104(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23427, 510, 23416, 23277])).
% 73.53/46.68 tff(23429,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23430,plain,
% 73.53/46.68 (((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23431,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23430])).
% 73.53/46.68 tff(23432,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23431, 23429])).
% 73.53/46.68 tff(23433,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23434,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23433, 23432])).
% 73.53/46.68 tff(23435,plain,
% 73.53/46.68 (v104(constB154) | v102(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23434, 524, 23416])).
% 73.53/46.68 tff(23436,plain,
% 73.53/46.68 (v102(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23435, 23428])).
% 73.53/46.68 tff(23437,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23438,plain,
% 73.53/46.68 (((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))) <=> ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23439,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23438])).
% 73.53/46.68 tff(23440,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23439, 23437])).
% 73.53/46.68 tff(23441,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23442,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23441, 23440])).
% 73.53/46.68 tff(23443,plain,
% 73.53/46.68 (v101(constB154) | (~v102(constB154))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23442, 545, 23416, 4608])).
% 73.53/46.68 tff(23444,plain,
% 73.53/46.68 (v101(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23443, 23436])).
% 73.53/46.68 tff(23445,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23446,plain,
% 73.53/46.68 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23447,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23446])).
% 73.53/46.68 tff(23448,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23447, 23445])).
% 73.53/46.68 tff(23449,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23450,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23449, 23448])).
% 73.53/46.68 tff(23451,plain,
% 73.53/46.68 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23450, 563, 23416])).
% 73.53/46.68 tff(23452,plain,
% 73.53/46.68 (v100(constB154) | (~v110(constB154))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23451, 23444])).
% 73.53/46.68 tff(23453,plain,
% 73.53/46.68 (v100(constB154)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23452, 23424])).
% 73.53/46.68 tff(23454,plain,
% 73.53/46.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23455,plain,
% 73.53/46.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23456,plain,
% 73.53/46.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 73.53/46.68 tff(23457,plain,
% 73.53/46.68 (v130(constB153, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23456, 917, 23385])).
% 73.53/46.68 tff(23458,plain,
% 73.53/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23459,plain,
% 73.53/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23460,plain,
% 73.53/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23459, 23458])).
% 73.53/46.68 tff(23461,plain,
% 73.53/46.68 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23460, 596, 23401])).
% 73.53/46.68 tff(23462,plain,
% 73.53/46.68 (v127(constB153, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23461, 23457])).
% 73.53/46.68 tff(23463,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23464,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23465,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 73.53/46.68 tff(23466,plain,
% 73.53/46.68 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23465, 611, 23416])).
% 73.53/46.68 tff(23467,plain,
% 73.53/46.68 (v129(constB154, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23466, 23462])).
% 73.53/46.68 tff(23468,plain,
% 73.53/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23469,plain,
% 73.53/46.68 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23470,plain,
% 73.53/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23469])).
% 73.53/46.68 tff(23471,plain,
% 73.53/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23470, 23468])).
% 73.53/46.68 tff(23472,plain,
% 73.53/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23473,plain,
% 73.53/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23472, 23471])).
% 73.53/46.68 tff(23474,plain,
% 73.53/46.68 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23473, 626, 23467])).
% 73.53/46.68 tff(23475,plain,
% 73.53/46.68 (v90(constB154, bitIndex2)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23474, 23453])).
% 73.53/46.68 tff(23476,plain,
% 73.53/46.68 ((~v1(constB155)) <=> (~v1(constB155))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23477,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 73.53/46.68 tff(23478,plain,
% 73.53/46.68 (~v1(constB155)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23477, 23476])).
% 73.53/46.68 tff(23479,plain,
% 73.53/46.68 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23480,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 73.53/46.68 tff(23481,plain,
% 73.53/46.68 (nextState(constB154, constB155)),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 73.53/46.68 tff(23482,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23483,plain,
% 73.53/46.68 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23484,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 73.53/46.68 inference(monotonicity,[status(thm)],[23483])).
% 73.53/46.68 tff(23485,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.53/46.68 inference(transitivity,[status(thm)],[23484, 23482])).
% 73.53/46.68 tff(23486,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23487,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23486, 23485])).
% 73.53/46.68 tff(23488,plain,
% 73.53/46.68 (~v101(constB155)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23487, 288, 23481, 23478])).
% 73.53/46.68 tff(23489,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 73.53/46.68 inference(rewrite,[status(thm)],[])).
% 73.53/46.68 tff(23490,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 73.53/46.68 inference(quant_inst,[status(thm)],[])).
% 73.53/46.68 tff(23491,plain,
% 73.53/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 73.53/46.68 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 73.53/46.68 tff(23492,plain,
% 73.53/46.68 (v101(constB155) | (~v100(constB155))),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23491, 305, 23481])).
% 73.53/46.68 tff(23493,plain,
% 73.53/46.68 (~v100(constB155)),
% 73.53/46.68 inference(unit_resolution,[status(thm)],[23492, 23488])).
% 73.53/46.68 tff(23494,plain,
% 73.53/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23495,plain,
% 73.53/46.69 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23496,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23495])).
% 73.53/46.69 tff(23497,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23496, 23494])).
% 73.53/46.69 tff(23498,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23499,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23498, 23497])).
% 73.53/46.69 tff(23500,plain,
% 73.53/46.69 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23499, 662, 23481])).
% 73.53/46.69 tff(23501,plain,
% 73.53/46.69 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23500, 23493])).
% 73.53/46.69 tff(23502,plain,
% 73.53/46.69 (v90(constB155, bitIndex2)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23501, 23475])).
% 73.53/46.69 tff(23503,plain,
% 73.53/46.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23504,plain,
% 73.53/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23505,plain,
% 73.53/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 73.53/46.69 tff(23506,plain,
% 73.53/46.69 (v130(constB153, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23505, 976, 23385])).
% 73.53/46.69 tff(23507,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23508,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23509,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23508, 23507])).
% 73.53/46.69 tff(23510,plain,
% 73.53/46.69 ((~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23509, 990, 23401])).
% 73.53/46.69 tff(23511,plain,
% 73.53/46.69 (v127(constB153, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23510, 23506])).
% 73.53/46.69 tff(23512,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23513,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23514,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 73.53/46.69 tff(23515,plain,
% 73.53/46.69 ((~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23514, 1005, 23416])).
% 73.53/46.69 tff(23516,plain,
% 73.53/46.69 (v129(constB154, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23515, 23511])).
% 73.53/46.69 tff(23517,plain,
% 73.53/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23518,plain,
% 73.53/46.69 ((v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23519,plain,
% 73.53/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23518])).
% 73.53/46.69 tff(23520,plain,
% 73.53/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23519, 23517])).
% 73.53/46.69 tff(23521,plain,
% 73.53/46.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23522,plain,
% 73.53/46.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 73.53/46.69 tff(23523,plain,
% 73.53/46.69 (v90(constB154, bitIndex1) | (~v100(constB154))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23522, 1020, 23516])).
% 73.53/46.69 tff(23524,plain,
% 73.53/46.69 (v90(constB154, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23523, 23453])).
% 73.53/46.69 tff(23525,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23526,plain,
% 73.53/46.69 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23527,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23526])).
% 73.53/46.69 tff(23528,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23527, 23525])).
% 73.53/46.69 tff(23529,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23530,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23529, 23528])).
% 73.53/46.69 tff(23531,plain,
% 73.53/46.69 ((~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23530, 1038, 23481])).
% 73.53/46.69 tff(23532,plain,
% 73.53/46.69 ((~v90(constB154, bitIndex1)) | v90(constB155, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23531, 23493])).
% 73.53/46.69 tff(23533,plain,
% 73.53/46.69 (v90(constB155, bitIndex1)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23532, 23524])).
% 73.53/46.69 tff(23534,plain,
% 73.53/46.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23535,plain,
% 73.53/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23536,plain,
% 73.53/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 73.53/46.69 tff(23537,plain,
% 73.53/46.69 (~v130(constB153, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23536, 1057, 23385])).
% 73.53/46.69 tff(23538,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23539,plain,
% 73.53/46.69 ((v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0))) <=> ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23540,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23539])).
% 73.53/46.69 tff(23541,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23540, 23538])).
% 73.53/46.69 tff(23542,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23543,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 73.53/46.69 tff(23544,plain,
% 73.53/46.69 ((~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23543, 769, 23401])).
% 73.53/46.69 tff(23545,plain,
% 73.53/46.69 (~v127(constB153, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23544, 23537])).
% 73.53/46.69 tff(23546,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23547,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23548,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23547, 23546])).
% 73.53/46.69 tff(23549,plain,
% 73.53/46.69 (v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23548, 787, 23416])).
% 73.53/46.69 tff(23550,plain,
% 73.53/46.69 (~v129(constB154, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23549, 23545])).
% 73.53/46.69 tff(23551,plain,
% 73.53/46.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23552,plain,
% 73.53/46.69 (((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23553,plain,
% 73.53/46.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23552])).
% 73.53/46.69 tff(23554,plain,
% 73.53/46.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23553, 23551])).
% 73.53/46.69 tff(23555,plain,
% 73.53/46.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23556,plain,
% 73.53/46.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23555, 23554])).
% 73.53/46.69 tff(23557,plain,
% 73.53/46.69 ((~v90(constB154, bitIndex0)) | (~v100(constB154))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23556, 802, 23550])).
% 73.53/46.69 tff(23558,plain,
% 73.53/46.69 (~v90(constB154, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23557, 23453])).
% 73.53/46.69 tff(23559,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23560,plain,
% 73.53/46.69 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23561,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23560])).
% 73.53/46.69 tff(23562,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23561, 23559])).
% 73.53/46.69 tff(23563,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23564,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 73.53/46.69 tff(23565,plain,
% 73.53/46.69 (v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23564, 362, 23481])).
% 73.53/46.69 tff(23566,plain,
% 73.53/46.69 (v90(constB154, bitIndex0) | (~v90(constB155, bitIndex0))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23565, 23493])).
% 73.53/46.69 tff(23567,plain,
% 73.53/46.69 (~v90(constB155, bitIndex0)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23566, 23558])).
% 73.53/46.69 tff(23568,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23569,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23570,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23569, 23568])).
% 73.53/46.69 tff(23571,plain,
% 73.53/46.69 (v125(constB155)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23570, 1101, 23567, 23533, 23502])).
% 73.53/46.69 tff(23572,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB155) | (~v125(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB155) | (~v125(constB155)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23573,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB155) | (~v125(constB155)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23574,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB155) | (~v125(constB155))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23573, 23572])).
% 73.53/46.69 tff(23575,plain,
% 73.53/46.69 (v113(constB155)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23574, 1112, 23571])).
% 73.53/46.69 tff(23576,assumption,(v26(constB155)), introduced(assumption)).
% 73.53/46.69 tff(23577,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23578,plain,
% 73.53/46.69 ($false),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23577, 26, 23576])).
% 73.53/46.69 tff(23579,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.69 tff(23580,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23581,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23582,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23581, 23580])).
% 73.53/46.69 tff(23583,plain,
% 73.53/46.69 ((~v113(constB155)) | v112(constB155)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23582, 463, 23579])).
% 73.53/46.69 tff(23584,plain,
% 73.53/46.69 (v112(constB155)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23583, 23575])).
% 73.53/46.69 tff(23585,plain,
% 73.53/46.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23586,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23587,plain,
% 73.53/46.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 73.53/46.69 tff(23588,plain,
% 73.53/46.69 (v108(constB155)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23587, 475, 23584])).
% 73.53/46.69 tff(23589,plain,
% 73.53/46.69 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23590,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 73.53/46.69 tff(23591,plain,
% 73.53/46.69 (nextState(constB155, constB156)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 73.53/46.69 tff(23592,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23593,plain,
% 73.53/46.69 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23594,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23593])).
% 73.53/46.69 tff(23595,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23594, 23592])).
% 73.53/46.69 tff(23596,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23597,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23596, 23595])).
% 73.53/46.69 tff(23598,plain,
% 73.53/46.69 (v110(constB156) | (~v108(constB155))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23597, 492, 23591])).
% 73.53/46.69 tff(23599,plain,
% 73.53/46.69 (v110(constB156)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23598, 23588])).
% 73.53/46.69 tff(23600,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23601,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23602,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 73.53/46.69 tff(23603,plain,
% 73.53/46.69 (~v104(constB156)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23602, 510, 23591, 23478])).
% 73.53/46.69 tff(23604,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23605,plain,
% 73.53/46.69 (((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23606,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23605])).
% 73.53/46.69 tff(23607,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23606, 23604])).
% 73.53/46.69 tff(23608,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23609,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 73.53/46.69 tff(23610,plain,
% 73.53/46.69 (v104(constB156) | v102(constB156)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23609, 524, 23591])).
% 73.53/46.69 tff(23611,plain,
% 73.53/46.69 (v102(constB156)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23610, 23603])).
% 73.53/46.69 tff(23612,plain,
% 73.53/46.69 (v1(constB156) <=> v1(constB156)),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23613,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 73.53/46.69 tff(23614,plain,
% 73.53/46.69 (v1(constB156)),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 73.53/46.69 tff(23615,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23616,plain,
% 73.53/46.69 (((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))) <=> ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23617,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23616])).
% 73.53/46.69 tff(23618,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23617, 23615])).
% 73.53/46.69 tff(23619,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23620,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23619, 23618])).
% 73.53/46.69 tff(23621,plain,
% 73.53/46.69 (v101(constB156) | (~v102(constB156))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23620, 545, 23591, 23614])).
% 73.53/46.69 tff(23622,plain,
% 73.53/46.69 (v101(constB156)),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23621, 23611])).
% 73.53/46.69 tff(23623,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23624,plain,
% 73.53/46.69 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.53/46.69 inference(rewrite,[status(thm)],[])).
% 73.53/46.69 tff(23625,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 73.53/46.69 inference(monotonicity,[status(thm)],[23624])).
% 73.53/46.69 tff(23626,plain,
% 73.53/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.53/46.69 inference(transitivity,[status(thm)],[23625, 23623])).
% 73.53/46.69 tff(23627,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 73.53/46.69 inference(quant_inst,[status(thm)],[])).
% 73.53/46.69 tff(23628,plain,
% 73.53/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 73.53/46.69 inference(modus_ponens,[status(thm)],[23627, 23626])).
% 73.53/46.69 tff(23629,plain,
% 73.53/46.69 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23628, 563, 23591])).
% 73.53/46.69 tff(23630,plain,
% 73.53/46.69 (v100(constB156) | (~v110(constB156))),
% 73.53/46.69 inference(unit_resolution,[status(thm)],[23629, 23622])).
% 73.53/46.70 tff(23631,plain,
% 73.53/46.70 (v100(constB156)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23630, 23599])).
% 73.53/46.70 tff(23632,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v124(constB155)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23633,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v124(constB155)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23634,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v124(constB155))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 73.53/46.70 tff(23635,plain,
% 73.53/46.70 (~v124(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23634, 1229, 23533])).
% 73.53/46.70 tff(23636,assumption,(v123(constB153)), introduced(assumption)).
% 73.53/46.70 tff(23637,plain,
% 73.53/46.70 (v130(constB153, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23505, 976, 23636])).
% 73.53/46.70 tff(23638,plain,
% 73.53/46.70 (v127(constB153, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23510, 23637])).
% 73.53/46.70 tff(23639,plain,
% 73.53/46.70 (v129(constB154, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23515, 23638])).
% 73.53/46.70 tff(23640,assumption,(v100(constB154)), introduced(assumption)).
% 73.53/46.70 tff(23641,plain,
% 73.53/46.70 (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23522, 1020, 23640])).
% 73.53/46.70 tff(23642,plain,
% 73.53/46.70 (v90(constB154, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23641, 23639])).
% 73.53/46.70 tff(23643,plain,
% 73.53/46.70 (v90(constB155, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23532, 23642])).
% 73.53/46.70 tff(23644,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v123(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v123(constB155)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23645,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v123(constB155)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23646,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v123(constB155))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23645, 23644])).
% 73.53/46.70 tff(23647,plain,
% 73.53/46.70 (~v123(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23646, 1218, 23643])).
% 73.53/46.70 tff(23648,assumption,(~v130(constB155, bitIndex0)), introduced(assumption)).
% 73.53/46.70 tff(23649,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB155)) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB155)) | v130(constB155, bitIndex0))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23650,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB155)) | v130(constB155, bitIndex0))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23651,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB155)) | v130(constB155, bitIndex0)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 73.53/46.70 tff(23652,plain,
% 73.53/46.70 (~v124(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23651, 3911, 23648])).
% 73.53/46.70 tff(23653,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23654,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23655,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 73.53/46.70 tff(23656,plain,
% 73.53/46.70 (~v119(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23655, 1207, 23643])).
% 73.53/46.70 tff(23657,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB155)) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB155)) | v130(constB155, bitIndex0))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23658,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB155)) | v130(constB155, bitIndex0))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23659,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB155)) | v130(constB155, bitIndex0)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 73.53/46.70 tff(23660,plain,
% 73.53/46.70 (~v121(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23659, 1945, 23648])).
% 73.53/46.70 tff(23661,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v120(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v120(constB155)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23662,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v120(constB155)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23663,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v120(constB155))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 73.53/46.70 tff(23664,plain,
% 73.53/46.70 (~v120(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23663, 1240, 23643])).
% 73.53/46.70 tff(23665,plain,
% 73.53/46.70 (v130(constB153, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23456, 917, 23636])).
% 73.53/46.70 tff(23666,plain,
% 73.53/46.70 (v127(constB153, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23461, 23665])).
% 73.53/46.70 tff(23667,plain,
% 73.53/46.70 (v129(constB154, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23466, 23666])).
% 73.53/46.70 tff(23668,plain,
% 73.53/46.70 (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23473, 626, 23640])).
% 73.53/46.70 tff(23669,plain,
% 73.53/46.70 (v90(constB154, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23668, 23667])).
% 73.53/46.70 tff(23670,plain,
% 73.53/46.70 (v90(constB155, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23501, 23669])).
% 73.53/46.70 tff(23671,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v122(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v122(constB155)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23672,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v122(constB155)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23673,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v122(constB155))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23672, 23671])).
% 73.53/46.70 tff(23674,plain,
% 73.53/46.70 (~v122(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23673, 1193, 23670])).
% 73.53/46.70 tff(23675,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23676,plain,
% 73.53/46.70 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0)) <=> (v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23677,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23676])).
% 73.53/46.70 tff(23678,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23677, 23675])).
% 73.53/46.70 tff(23679,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23680,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB155, bitIndex0) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23679, 23678])).
% 73.53/46.70 tff(23681,plain,
% 73.53/46.70 (v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23680, 1396, 23648])).
% 73.53/46.70 tff(23682,plain,
% 73.53/46.70 ($false),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23681, 23674, 23664, 23660, 23656, 23652, 23647])).
% 73.53/46.70 tff(23683,plain,((~v123(constB153)) | v130(constB155, bitIndex0) | (~v100(constB154))), inference(lemma,lemma(discharge,[]))).
% 73.53/46.70 tff(23684,plain,
% 73.53/46.70 (v130(constB155, bitIndex0)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23683, 23453, 23385])).
% 73.53/46.70 tff(23685,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23686,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23687,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB155)) | (~v130(constB155, bitIndex0))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 73.53/46.70 tff(23688,plain,
% 73.53/46.70 (~v123(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23687, 1057, 23684])).
% 73.53/46.70 tff(23689,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23690,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23691,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB155)) | (~v130(constB155, bitIndex0))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 73.53/46.70 tff(23692,plain,
% 73.53/46.70 (~v120(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23691, 1690, 23684])).
% 73.53/46.70 tff(23693,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23694,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23695,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB155)) | (~v130(constB155, bitIndex0))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 73.53/46.70 tff(23696,plain,
% 73.53/46.70 (~v122(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23695, 2182, 23684])).
% 73.53/46.70 tff(23697,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v121(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v121(constB155)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23698,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v121(constB155)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23699,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v121(constB155))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 73.53/46.70 tff(23700,plain,
% 73.53/46.70 (~v121(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23699, 1182, 23502])).
% 73.53/46.70 tff(23701,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23702,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23703,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB155)) | (~v130(constB155, bitIndex0))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 73.53/46.70 tff(23704,plain,
% 73.53/46.70 (~v119(constB155)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23703, 755, 23684])).
% 73.53/46.70 tff(23705,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23706,plain,
% 73.53/46.70 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1))) <=> ((~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23707,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23706])).
% 73.53/46.70 tff(23708,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23707, 23705])).
% 73.53/46.70 tff(23709,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23710,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23709, 23708])).
% 73.53/46.70 tff(23711,plain,
% 73.53/46.70 (~v130(constB155, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23710, 1349, 23704, 23700, 23696, 23692, 23688, 23635])).
% 73.53/46.70 tff(23712,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23713,plain,
% 73.53/46.70 ((v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1))) <=> ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23714,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23713])).
% 73.53/46.70 tff(23715,plain,
% 73.53/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23714, 23712])).
% 73.53/46.70 tff(23716,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23717,plain,
% 73.53/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23716, 23715])).
% 73.53/46.70 tff(23718,plain,
% 73.53/46.70 ((~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23717, 695, 23579])).
% 73.53/46.70 tff(23719,plain,
% 73.53/46.70 (~v127(constB155, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23718, 23711])).
% 73.53/46.70 tff(23720,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23721,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23722,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 73.53/46.70 tff(23723,plain,
% 73.53/46.70 (v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23722, 713, 23591])).
% 73.53/46.70 tff(23724,plain,
% 73.53/46.70 (~v129(constB156, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23723, 23719])).
% 73.53/46.70 tff(23725,plain,
% 73.53/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23726,plain,
% 73.53/46.70 (((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23727,plain,
% 73.53/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23726])).
% 73.53/46.70 tff(23728,plain,
% 73.53/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23727, 23725])).
% 73.53/46.70 tff(23729,plain,
% 73.53/46.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23730,plain,
% 73.53/46.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 73.53/46.70 tff(23731,plain,
% 73.53/46.70 ((~v90(constB156, bitIndex1)) | (~v100(constB156))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23730, 728, 23724])).
% 73.53/46.70 tff(23732,plain,
% 73.53/46.70 (~v90(constB156, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23731, 23631])).
% 73.53/46.70 tff(23733,plain,
% 73.53/46.70 ((~v1(constB157)) <=> (~v1(constB157))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23734,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 73.53/46.70 tff(23735,plain,
% 73.53/46.70 (~v1(constB157)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23734, 23733])).
% 73.53/46.70 tff(23736,plain,
% 73.53/46.70 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23737,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 73.53/46.70 tff(23738,plain,
% 73.53/46.70 (nextState(constB156, constB157)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 73.53/46.70 tff(23739,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23740,plain,
% 73.53/46.70 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23741,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23740])).
% 73.53/46.70 tff(23742,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23741, 23739])).
% 73.53/46.70 tff(23743,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23744,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23743, 23742])).
% 73.53/46.70 tff(23745,plain,
% 73.53/46.70 (~v101(constB157)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23744, 288, 23738, 23735])).
% 73.53/46.70 tff(23746,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23747,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23748,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23747, 23746])).
% 73.53/46.70 tff(23749,plain,
% 73.53/46.70 (v101(constB157) | (~v100(constB157))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23748, 305, 23738])).
% 73.53/46.70 tff(23750,plain,
% 73.53/46.70 (~v100(constB157)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23749, 23745])).
% 73.53/46.70 tff(23751,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23752,plain,
% 73.53/46.70 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23753,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23752])).
% 73.53/46.70 tff(23754,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23753, 23751])).
% 73.53/46.70 tff(23755,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23756,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 73.53/46.70 tff(23757,plain,
% 73.53/46.70 (v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23756, 341, 23738])).
% 73.53/46.70 tff(23758,plain,
% 73.53/46.70 (v90(constB156, bitIndex1) | (~v90(constB157, bitIndex1))),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23757, 23750])).
% 73.53/46.70 tff(23759,plain,
% 73.53/46.70 (~v90(constB157, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23758, 23732])).
% 73.53/46.70 tff(23760,assumption,(v119(constB157)), introduced(assumption)).
% 73.53/46.70 tff(23761,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23762,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23763,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 73.53/46.70 tff(23764,plain,
% 73.53/46.70 (~v90(constB157, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23763, 1207, 23760])).
% 73.53/46.70 tff(23765,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23766,plain,
% 73.53/46.70 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23767,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 73.53/46.70 inference(monotonicity,[status(thm)],[23766])).
% 73.53/46.70 tff(23768,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.53/46.70 inference(transitivity,[status(thm)],[23767, 23765])).
% 73.53/46.70 tff(23769,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23770,plain,
% 73.53/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 73.53/46.70 tff(23771,plain,
% 73.53/46.70 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23770, 1038, 23738])).
% 73.53/46.70 tff(23772,plain,
% 73.53/46.70 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23771, 23750])).
% 73.53/46.70 tff(23773,plain,
% 73.53/46.70 (~v90(constB156, bitIndex1)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23772, 23764])).
% 73.53/46.70 tff(23774,plain,
% 73.53/46.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB157)) | (~v90(constB157, bitIndex2)))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.70 tff(23775,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex2)))),
% 73.53/46.70 inference(quant_inst,[status(thm)],[])).
% 73.53/46.70 tff(23776,plain,
% 73.53/46.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB157)) | (~v90(constB157, bitIndex2))),
% 73.53/46.70 inference(modus_ponens,[status(thm)],[23775, 23774])).
% 73.53/46.70 tff(23777,plain,
% 73.53/46.70 (~v90(constB157, bitIndex2)),
% 73.53/46.70 inference(unit_resolution,[status(thm)],[23776, 3402, 23760])).
% 73.53/46.70 tff(23778,plain,
% 73.53/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.53/46.70 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23779,plain,
% 73.53/46.71 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23780,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23779])).
% 73.53/46.71 tff(23781,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23780, 23778])).
% 73.53/46.71 tff(23782,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23783,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 73.53/46.71 tff(23784,plain,
% 73.53/46.71 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23783, 662, 23738])).
% 73.53/46.71 tff(23785,plain,
% 73.53/46.71 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23784, 23750])).
% 73.53/46.71 tff(23786,plain,
% 73.53/46.71 (~v90(constB156, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23785, 23777])).
% 73.53/46.71 tff(23787,assumption,(~v100(constB156)), introduced(assumption)).
% 73.53/46.71 tff(23788,plain,
% 73.53/46.71 (~v110(constB156)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23630, 23787])).
% 73.53/46.71 tff(23789,plain,
% 73.53/46.71 (~v108(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23598, 23788])).
% 73.53/46.71 tff(23790,plain,
% 73.53/46.71 (~v112(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23587, 475, 23789])).
% 73.53/46.71 tff(23791,plain,
% 73.53/46.71 (~v113(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23583, 23790])).
% 73.53/46.71 tff(23792,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23793,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23794,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23793, 23792])).
% 73.53/46.71 tff(23795,plain,
% 73.53/46.71 (~v114(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23794, 449, 23791])).
% 73.53/46.71 tff(23796,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB155) | (~v115(constB155)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB155) | (~v115(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23797,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB155) | (~v115(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23798,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB155) | (~v115(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23797, 23796])).
% 73.53/46.71 tff(23799,plain,
% 73.53/46.71 (~v115(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23798, 438, 23795])).
% 73.53/46.71 tff(23800,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB155) | (~v116(constB155)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB155) | (~v116(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23801,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB155) | (~v116(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23802,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB155) | (~v116(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 73.53/46.71 tff(23803,plain,
% 73.53/46.71 (~v116(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23802, 427, 23799])).
% 73.53/46.71 tff(23804,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB155) | (~v117(constB155)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB155) | (~v117(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23805,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB155) | (~v117(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23806,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB155) | (~v117(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 73.53/46.71 tff(23807,plain,
% 73.53/46.71 (~v117(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23806, 416, 23803])).
% 73.53/46.71 tff(23808,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB155) | (~v118(constB155)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB155) | (~v118(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23809,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB155) | (~v118(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23810,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB155) | (~v118(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23809, 23808])).
% 73.53/46.71 tff(23811,plain,
% 73.53/46.71 (~v118(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23810, 405, 23807])).
% 73.53/46.71 tff(23812,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB155) | (~v120(constB155)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB155) | (~v120(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23813,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB155) | (~v120(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23814,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB155) | (~v120(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23813, 23812])).
% 73.53/46.71 tff(23815,plain,
% 73.53/46.71 (~v120(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23814, 1494, 23811])).
% 73.53/46.71 tff(23816,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB155) | (~v121(constB155)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB155) | (~v121(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23817,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB155) | (~v121(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23818,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB155) | (~v121(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 73.53/46.71 tff(23819,plain,
% 73.53/46.71 (~v121(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23818, 1775, 23807])).
% 73.53/46.71 tff(23820,assumption,(~v90(constB156, bitIndex2)), introduced(assumption)).
% 73.53/46.71 tff(23821,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23822,plain,
% 73.53/46.71 (((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2)) <=> ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23823,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2)))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23822])).
% 73.53/46.71 tff(23824,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23823, 23821])).
% 73.53/46.71 tff(23825,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23826,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 73.53/46.71 tff(23827,plain,
% 73.53/46.71 ((~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23826, 662, 23591])).
% 73.53/46.71 tff(23828,plain,
% 73.53/46.71 (~v90(constB155, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23827, 23787, 23820])).
% 73.53/46.71 tff(23829,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB155) | (~v119(constB155)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB155) | (~v119(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23830,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB155) | (~v119(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23831,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB155) | (~v119(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 73.53/46.71 tff(23832,plain,
% 73.53/46.71 (~v119(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23831, 394, 23811])).
% 73.53/46.71 tff(23833,assumption,(~v119(constB155)), introduced(assumption)).
% 73.53/46.71 tff(23834,assumption,(~v90(constB155, bitIndex0)), introduced(assumption)).
% 73.53/46.71 tff(23835,assumption,(~v121(constB155)), introduced(assumption)).
% 73.53/46.71 tff(23836,assumption,(~v90(constB155, bitIndex2)), introduced(assumption)).
% 73.53/46.71 tff(23837,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23838,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23839,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 73.53/46.71 tff(23840,plain,
% 73.53/46.71 (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v121(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23839, 1734, 23836])).
% 73.53/46.71 tff(23841,plain,
% 73.53/46.71 (~v90(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23840, 23834, 23835])).
% 73.53/46.71 tff(23842,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB155) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB155) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23843,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB155) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23844,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB155) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23843, 23842])).
% 73.53/46.71 tff(23845,plain,
% 73.53/46.71 (v119(constB155) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23844, 383, 23836])).
% 73.53/46.71 tff(23846,plain,
% 73.53/46.71 ($false),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23845, 23841, 23834, 23833])).
% 73.53/46.71 tff(23847,plain,(v90(constB155, bitIndex0) | v119(constB155) | v90(constB155, bitIndex2) | v121(constB155)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.71 tff(23848,plain,
% 73.53/46.71 (v90(constB155, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23847, 23832, 23828, 23819])).
% 73.53/46.71 tff(23849,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB155) | (~v122(constB155)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB155) | (~v122(constB155)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23850,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB155) | (~v122(constB155)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23851,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB155) | (~v122(constB155))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 73.53/46.71 tff(23852,plain,
% 73.53/46.71 (~v122(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23851, 1997, 23803])).
% 73.53/46.71 tff(23853,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v122(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v122(constB155))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23854,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v122(constB155))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23855,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v122(constB155)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 73.53/46.71 tff(23856,plain,
% 73.53/46.71 ((~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)) | v122(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23855, 1986, 23828])).
% 73.53/46.71 tff(23857,plain,
% 73.53/46.71 (~v90(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23856, 23848, 23852])).
% 73.53/46.71 tff(23858,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23859,plain,
% 73.53/46.71 (((~v90(constB155, bitIndex0)) | v120(constB155) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)) <=> ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23860,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex0)) | v120(constB155) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155)))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23859])).
% 73.53/46.71 tff(23861,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex0)) | v120(constB155) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23860, 23858])).
% 73.53/46.71 tff(23862,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex0)) | v120(constB155) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23863,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 73.53/46.71 tff(23864,plain,
% 73.53/46.71 ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v120(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23863, 1480, 23828])).
% 73.53/46.71 tff(23865,plain,
% 73.53/46.71 ($false),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23864, 23857, 23848, 23815])).
% 73.53/46.71 tff(23866,plain,(v100(constB156) | v90(constB156, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.71 tff(23867,plain,
% 73.53/46.71 (v100(constB156)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23866, 23786])).
% 73.53/46.71 tff(23868,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23869,plain,
% 73.53/46.71 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23870,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23869])).
% 73.53/46.71 tff(23871,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23870, 23868])).
% 73.53/46.71 tff(23872,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23873,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 73.53/46.71 tff(23874,plain,
% 73.53/46.71 (~v129(constB156, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23873, 1020, 23867, 23773])).
% 73.53/46.71 tff(23875,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23876,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23877,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 73.53/46.71 tff(23878,plain,
% 73.53/46.71 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23877, 1005, 23591])).
% 73.53/46.71 tff(23879,plain,
% 73.53/46.71 (~v127(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23878, 23874])).
% 73.53/46.71 tff(23880,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23881,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23882,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 73.53/46.71 tff(23883,plain,
% 73.53/46.71 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23882, 990, 23579])).
% 73.53/46.71 tff(23884,plain,
% 73.53/46.71 (~v130(constB155, bitIndex1)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23883, 23879])).
% 73.53/46.71 tff(23885,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB155)) | v130(constB155, bitIndex1))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23886,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB155)) | v130(constB155, bitIndex1))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23887,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB155)) | v130(constB155, bitIndex1)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 73.53/46.71 tff(23888,plain,
% 73.53/46.71 (~v120(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23887, 1649, 23884])).
% 73.53/46.71 tff(23889,plain,
% 73.53/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB157, bitIndex0)) | (~v119(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB157, bitIndex0)) | (~v119(constB157)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23890,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB157, bitIndex0)) | (~v119(constB157)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23891,plain,
% 73.53/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB157, bitIndex0)) | (~v119(constB157))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 73.53/46.71 tff(23892,plain,
% 73.53/46.71 (~v90(constB157, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23891, 3665, 23760])).
% 73.53/46.71 tff(23893,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23894,plain,
% 73.53/46.71 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23895,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23894])).
% 73.53/46.71 tff(23896,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23895, 23893])).
% 73.53/46.71 tff(23897,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23898,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 73.53/46.71 tff(23899,plain,
% 73.53/46.71 ((~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23898, 1461, 23738])).
% 73.53/46.71 tff(23900,plain,
% 73.53/46.71 ((~v90(constB156, bitIndex0)) | v90(constB157, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23899, 23750])).
% 73.53/46.71 tff(23901,plain,
% 73.53/46.71 (~v90(constB156, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23900, 23892])).
% 73.53/46.71 tff(23902,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23903,plain,
% 73.53/46.71 ((v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23904,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23903])).
% 73.53/46.71 tff(23905,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23904, 23902])).
% 73.53/46.71 tff(23906,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23907,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 73.53/46.71 tff(23908,plain,
% 73.53/46.71 (~v129(constB156, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23907, 1443, 23867, 23901])).
% 73.53/46.71 tff(23909,plain,
% 73.53/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23910,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23911,plain,
% 73.53/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23910, 23909])).
% 73.53/46.71 tff(23912,plain,
% 73.53/46.71 ((~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23911, 1428, 23591])).
% 73.53/46.71 tff(23913,plain,
% 73.53/46.71 (~v127(constB155, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23912, 23908])).
% 73.53/46.71 tff(23914,plain,
% 73.53/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23915,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23916,plain,
% 73.53/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23915, 23914])).
% 73.53/46.71 tff(23917,plain,
% 73.53/46.71 ((~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23916, 1413, 23579])).
% 73.53/46.71 tff(23918,plain,
% 73.53/46.71 (~v130(constB155, bitIndex0)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23917, 23913])).
% 73.53/46.71 tff(23919,plain,
% 73.53/46.71 (~v124(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23651, 3911, 23918])).
% 73.53/46.71 tff(23920,plain,
% 73.53/46.71 (~v121(constB155)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23659, 1945, 23918])).
% 73.53/46.71 tff(23921,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23922,plain,
% 73.53/46.71 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.53/46.71 inference(rewrite,[status(thm)],[])).
% 73.53/46.71 tff(23923,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 73.53/46.71 inference(monotonicity,[status(thm)],[23922])).
% 73.53/46.71 tff(23924,plain,
% 73.53/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.53/46.71 inference(transitivity,[status(thm)],[23923, 23921])).
% 73.53/46.71 tff(23925,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 73.53/46.71 inference(quant_inst,[status(thm)],[])).
% 73.53/46.71 tff(23926,plain,
% 73.53/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 73.53/46.71 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 73.53/46.71 tff(23927,plain,
% 73.53/46.71 (~v129(constB156, bitIndex2)),
% 73.53/46.71 inference(unit_resolution,[status(thm)],[23926, 626, 23867, 23786])).
% 73.53/46.72 tff(23928,plain,
% 73.53/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23929,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23930,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23929, 23928])).
% 73.53/46.72 tff(23931,plain,
% 73.53/46.72 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23930, 611, 23591])).
% 73.53/46.72 tff(23932,plain,
% 73.53/46.72 (~v127(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23931, 23927])).
% 73.53/46.72 tff(23933,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23934,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23935,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 73.53/46.72 tff(23936,plain,
% 73.53/46.72 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23935, 596, 23579])).
% 73.53/46.72 tff(23937,plain,
% 73.53/46.72 (~v130(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23936, 23932])).
% 73.53/46.72 tff(23938,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB155)) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23939,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB155)) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23940,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB155)) | v130(constB155, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 73.53/46.72 tff(23941,plain,
% 73.53/46.72 (~v122(constB155)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23940, 2079, 23937])).
% 73.53/46.72 tff(23942,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB155)) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23943,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB155)) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23944,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB155)) | v130(constB155, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23943, 23942])).
% 73.53/46.72 tff(23945,plain,
% 73.53/46.72 (~v123(constB155)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23944, 917, 23937])).
% 73.53/46.72 tff(23946,plain,
% 73.53/46.72 (v124(constB155) | v121(constB155) | v120(constB155)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23680, 1396, 23918, 23833, 23945, 23941])).
% 73.53/46.72 tff(23947,plain,
% 73.53/46.72 ($false),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23946, 23920, 23919, 23888])).
% 73.53/46.72 tff(23948,plain,((~v119(constB157)) | v119(constB155)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.72 tff(23949,plain,
% 73.53/46.72 (~v119(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23948, 23704])).
% 73.53/46.72 tff(23950,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23951,plain,
% 73.53/46.72 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))) <=> ((~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23952,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[23951])).
% 73.53/46.72 tff(23953,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155))),
% 73.53/46.72 inference(transitivity,[status(thm)],[23952, 23950])).
% 73.53/46.72 tff(23954,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23955,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB155, bitIndex2)) | v124(constB155) | v119(constB155) | v121(constB155) | v123(constB155) | v120(constB155) | v122(constB155)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23954, 23953])).
% 73.53/46.72 tff(23956,plain,
% 73.53/46.72 (~v130(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23955, 1254, 23704, 23700, 23696, 23692, 23688, 23635])).
% 73.53/46.72 tff(23957,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23958,plain,
% 73.53/46.72 ((v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2))) <=> ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23959,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[23958])).
% 73.53/46.72 tff(23960,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 73.53/46.72 inference(transitivity,[status(thm)],[23959, 23957])).
% 73.53/46.72 tff(23961,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23962,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 73.53/46.72 tff(23963,plain,
% 73.53/46.72 ((~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23962, 1271, 23579])).
% 73.53/46.72 tff(23964,plain,
% 73.53/46.72 (~v127(constB155, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23963, 23956])).
% 73.53/46.72 tff(23965,plain,
% 73.53/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23966,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23967,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 73.53/46.72 tff(23968,plain,
% 73.53/46.72 (v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23967, 1289, 23591])).
% 73.53/46.72 tff(23969,plain,
% 73.53/46.72 (~v129(constB156, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23968, 23964])).
% 73.53/46.72 tff(23970,plain,
% 73.53/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23971,plain,
% 73.53/46.72 (((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23972,plain,
% 73.53/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156))))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[23971])).
% 73.53/46.72 tff(23973,plain,
% 73.53/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 73.53/46.72 inference(transitivity,[status(thm)],[23972, 23970])).
% 73.53/46.72 tff(23974,plain,
% 73.53/46.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23975,plain,
% 73.53/46.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23974, 23973])).
% 73.53/46.72 tff(23976,plain,
% 73.53/46.72 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23975, 1304, 23969])).
% 73.53/46.72 tff(23977,plain,
% 73.53/46.72 (~v90(constB156, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23976, 23631])).
% 73.53/46.72 tff(23978,plain,
% 73.53/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23979,plain,
% 73.53/46.72 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23980,plain,
% 73.53/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[23979])).
% 73.53/46.72 tff(23981,plain,
% 73.53/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 73.53/46.72 inference(transitivity,[status(thm)],[23980, 23978])).
% 73.53/46.72 tff(23982,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23983,plain,
% 73.53/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23982, 23981])).
% 73.53/46.72 tff(23984,plain,
% 73.53/46.72 (v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23983, 320, 23738])).
% 73.53/46.72 tff(23985,plain,
% 73.53/46.72 (v90(constB156, bitIndex2) | (~v90(constB157, bitIndex2))),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23984, 23750])).
% 73.53/46.72 tff(23986,plain,
% 73.53/46.72 (~v90(constB157, bitIndex2)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23985, 23977])).
% 73.53/46.72 tff(23987,assumption,(~v119(constB157)), introduced(assumption)).
% 73.53/46.72 tff(23988,assumption,(~v90(constB157, bitIndex1)), introduced(assumption)).
% 73.53/46.72 tff(23989,assumption,(~v120(constB157)), introduced(assumption)).
% 73.53/46.72 tff(23990,assumption,(~v90(constB157, bitIndex2)), introduced(assumption)).
% 73.53/46.72 tff(23991,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23992,plain,
% 73.53/46.72 (((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) <=> ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(23993,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[23992])).
% 73.53/46.72 tff(23994,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 73.53/46.72 inference(transitivity,[status(thm)],[23993, 23991])).
% 73.53/46.72 tff(23995,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(23996,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 73.53/46.72 tff(23997,plain,
% 73.53/46.72 ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v120(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23996, 1480, 23990])).
% 73.53/46.72 tff(23998,plain,
% 73.53/46.72 (~v90(constB157, bitIndex0)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[23997, 23988, 23989])).
% 73.53/46.72 tff(23999,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24000,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24001,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 73.53/46.72 tff(24002,plain,
% 73.53/46.72 (v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24001, 383, 23990])).
% 73.53/46.72 tff(24003,plain,
% 73.53/46.72 ($false),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24002, 23998, 23988, 23987])).
% 73.53/46.72 tff(24004,plain,(v90(constB157, bitIndex1) | v119(constB157) | v90(constB157, bitIndex2) | v120(constB157)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.72 tff(24005,plain,
% 73.53/46.72 (v120(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24004, 23986, 23949, 23759])).
% 73.53/46.72 tff(24006,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24007,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24008,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24007, 24006])).
% 73.53/46.72 tff(24009,plain,
% 73.53/46.72 (~v130(constB157, bitIndex0)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24008, 1690, 24005])).
% 73.53/46.72 tff(24010,assumption,(~v115(constB157)), introduced(assumption)).
% 73.53/46.72 tff(24011,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24012,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24013,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 73.53/46.72 tff(24014,plain,
% 73.53/46.72 (~v116(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24013, 427, 24010])).
% 73.53/46.72 tff(24015,assumption,(~v130(constB157, bitIndex0)), introduced(assumption)).
% 73.53/46.72 tff(24016,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB157) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB157) | (~v123(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24017,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB157) | (~v123(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24018,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB157) | (~v123(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24017, 24016])).
% 73.53/46.72 tff(24019,plain,
% 73.53/46.72 (~v123(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24018, 840, 24010])).
% 73.53/46.72 tff(24020,assumption,(~v122(constB157)), introduced(assumption)).
% 73.53/46.72 tff(24021,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24022,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24023,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 73.53/46.72 tff(24024,plain,
% 73.53/46.72 (~v121(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24023, 1945, 24015])).
% 73.53/46.72 tff(24025,plain,
% 73.53/46.72 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB157)) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24026,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB157)) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24027,plain,
% 73.53/46.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB157)) | v130(constB157, bitIndex0)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 73.53/46.72 tff(24028,plain,
% 73.53/46.72 (~v124(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24027, 3911, 24015])).
% 73.53/46.72 tff(24029,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24030,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24031,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 73.53/46.72 tff(24032,plain,
% 73.53/46.72 (~v117(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24031, 416, 24014])).
% 73.53/46.72 tff(24033,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24034,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24035,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24034, 24033])).
% 73.53/46.72 tff(24036,plain,
% 73.53/46.72 (~v118(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24035, 405, 24032])).
% 73.53/46.72 tff(24037,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB157) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB157) | (~v120(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24038,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB157) | (~v120(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24039,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB157) | (~v120(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24038, 24037])).
% 73.53/46.72 tff(24040,plain,
% 73.53/46.72 (~v120(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24039, 1494, 24036])).
% 73.53/46.72 tff(24041,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB157) | (~v119(constB157)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB157) | (~v119(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24042,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB157) | (~v119(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24043,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB157) | (~v119(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24042, 24041])).
% 73.53/46.72 tff(24044,plain,
% 73.53/46.72 (~v119(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24043, 394, 24036])).
% 73.53/46.72 tff(24045,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24046,plain,
% 73.53/46.72 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24047,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[24046])).
% 73.53/46.72 tff(24048,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(transitivity,[status(thm)],[24047, 24045])).
% 73.53/46.72 tff(24049,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24050,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24049, 24048])).
% 73.53/46.72 tff(24051,plain,
% 73.53/46.72 (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24050, 1396, 24015])).
% 73.53/46.72 tff(24052,plain,
% 73.53/46.72 ($false),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24051, 24044, 24040, 24028, 24024, 24020, 24019])).
% 73.53/46.72 tff(24053,plain,(v115(constB157) | v122(constB157) | v130(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.72 tff(24054,plain,
% 73.53/46.72 (v122(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24053, 24010, 24015])).
% 73.53/46.72 tff(24055,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB157) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB157) | (~v122(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24056,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB157) | (~v122(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24057,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB157) | (~v122(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24056, 24055])).
% 73.53/46.72 tff(24058,plain,
% 73.53/46.72 ($false),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24057, 1997, 24054, 24014])).
% 73.53/46.72 tff(24059,plain,(v115(constB157) | v130(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.72 tff(24060,plain,
% 73.53/46.72 (v115(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24059, 24009])).
% 73.53/46.72 tff(24061,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24062,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24063,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24062, 24061])).
% 73.53/46.72 tff(24064,plain,
% 73.53/46.72 (v114(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24063, 438, 24060])).
% 73.53/46.72 tff(24065,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24066,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24067,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24066, 24065])).
% 73.53/46.72 tff(24068,plain,
% 73.53/46.72 (v113(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24067, 449, 24064])).
% 73.53/46.72 tff(24069,assumption,(v26(constB157)), introduced(assumption)).
% 73.53/46.72 tff(24070,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24071,plain,
% 73.53/46.72 ($false),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24070, 26, 24069])).
% 73.53/46.72 tff(24072,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 73.53/46.72 tff(24073,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24074,plain,
% 73.53/46.72 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.53/46.72 inference(rewrite,[status(thm)],[])).
% 73.53/46.72 tff(24075,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 73.53/46.72 inference(monotonicity,[status(thm)],[24074])).
% 73.53/46.72 tff(24076,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.53/46.72 inference(transitivity,[status(thm)],[24075, 24073])).
% 73.53/46.72 tff(24077,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 73.53/46.72 inference(quant_inst,[status(thm)],[])).
% 73.53/46.72 tff(24078,plain,
% 73.53/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 73.53/46.72 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 73.53/46.72 tff(24079,plain,
% 73.53/46.72 (v112(constB157) | (~v113(constB157))),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24078, 463, 24072])).
% 73.53/46.72 tff(24080,plain,
% 73.53/46.72 (v112(constB157)),
% 73.53/46.72 inference(unit_resolution,[status(thm)],[24079, 24068])).
% 73.53/46.72 tff(24081,plain,
% 73.53/46.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 73.53/46.73 inference(rewrite,[status(thm)],[])).
% 73.53/46.73 tff(24082,plain,
% 73.53/46.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 73.53/46.73 inference(quant_inst,[status(thm)],[])).
% 73.53/46.73 tff(24083,plain,
% 73.53/46.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 73.53/46.73 inference(modus_ponens,[status(thm)],[24082, 24081])).
% 73.53/46.73 tff(24084,plain,
% 73.53/46.73 (v108(constB157)),
% 73.53/46.73 inference(unit_resolution,[status(thm)],[24083, 475, 24080])).
% 73.53/46.73 tff(24085,plain,
% 73.53/46.73 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 73.53/46.73 inference(rewrite,[status(thm)],[])).
% 73.53/46.73 tff(24086,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 73.53/46.73 tff(24087,plain,
% 73.53/46.73 (nextState(constB157, constB158)),
% 73.53/46.73 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 73.53/46.73 tff(24088,plain,
% 73.53/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.53/46.73 inference(rewrite,[status(thm)],[])).
% 73.53/46.73 tff(24089,plain,
% 73.53/46.73 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.53/46.73 inference(rewrite,[status(thm)],[])).
% 73.53/46.73 tff(24090,plain,
% 73.53/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 73.53/46.73 inference(monotonicity,[status(thm)],[24089])).
% 73.53/46.73 tff(24091,plain,
% 73.53/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.53/46.73 inference(transitivity,[status(thm)],[24090, 24088])).
% 73.53/46.73 tff(24092,plain,
% 73.53/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 73.53/46.73 inference(quant_inst,[status(thm)],[])).
% 73.53/46.73 tff(24093,plain,
% 73.53/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 73.53/46.73 inference(modus_ponens,[status(thm)],[24092, 24091])).
% 73.53/46.73 tff(24094,plain,
% 73.53/46.73 (v110(constB158) | (~v108(constB157))),
% 73.53/46.73 inference(unit_resolution,[status(thm)],[24093, 492, 24087])).
% 73.53/46.73 tff(24095,plain,
% 73.53/46.73 (v110(constB158)),
% 73.53/46.73 inference(unit_resolution,[status(thm)],[24094, 24084])).
% 73.53/46.73 tff(24096,plain,
% 73.53/46.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 73.53/46.73 inference(rewrite,[status(thm)],[])).
% 73.53/46.73 tff(24097,plain,
% 73.53/46.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 73.53/46.73 inference(quant_inst,[status(thm)],[])).
% 73.53/46.73 tff(24098,plain,
% 73.53/46.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 73.53/46.73 inference(modus_ponens,[status(thm)],[24097, 24096])).
% 73.53/46.73 tff(24099,plain,
% 73.53/46.73 (~v104(constB158)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24098, 510, 24087, 23735])).
% 73.58/46.73 tff(24100,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24101,plain,
% 73.58/46.73 (((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24102,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24101])).
% 73.58/46.73 tff(24103,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24102, 24100])).
% 73.58/46.73 tff(24104,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24105,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 73.58/46.73 tff(24106,plain,
% 73.58/46.73 (v104(constB158) | v102(constB158)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24105, 524, 24087])).
% 73.58/46.73 tff(24107,plain,
% 73.58/46.73 (v102(constB158)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24106, 24099])).
% 73.58/46.73 tff(24108,plain,
% 73.58/46.73 (v1(constB158) <=> v1(constB158)),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24109,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 73.58/46.73 tff(24110,plain,
% 73.58/46.73 (v1(constB158)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24109, 24108])).
% 73.58/46.73 tff(24111,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24112,plain,
% 73.58/46.73 (((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))) <=> ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24113,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24112])).
% 73.58/46.73 tff(24114,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24113, 24111])).
% 73.58/46.73 tff(24115,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24116,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 73.58/46.73 tff(24117,plain,
% 73.58/46.73 (v101(constB158) | (~v102(constB158))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24116, 545, 24087, 24110])).
% 73.58/46.73 tff(24118,plain,
% 73.58/46.73 (v101(constB158)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24117, 24107])).
% 73.58/46.73 tff(24119,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24120,plain,
% 73.58/46.73 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24121,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24120])).
% 73.58/46.73 tff(24122,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24121, 24119])).
% 73.58/46.73 tff(24123,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24124,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 73.58/46.73 tff(24125,plain,
% 73.58/46.73 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24124, 563, 24087])).
% 73.58/46.73 tff(24126,plain,
% 73.58/46.73 (v100(constB158) | (~v110(constB158))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24125, 24118])).
% 73.58/46.73 tff(24127,plain,
% 73.58/46.73 (v100(constB158)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24126, 24095])).
% 73.58/46.73 tff(24128,plain,
% 73.58/46.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24129,plain,
% 73.58/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24130,plain,
% 73.58/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 73.58/46.73 tff(24131,plain,
% 73.58/46.73 (~v130(constB157, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24130, 1587, 24005])).
% 73.58/46.73 tff(24132,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24133,plain,
% 73.58/46.73 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24134,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24133])).
% 73.58/46.73 tff(24135,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24134, 24132])).
% 73.58/46.73 tff(24136,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24137,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24136, 24135])).
% 73.58/46.73 tff(24138,plain,
% 73.58/46.73 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24137, 1271, 24072])).
% 73.58/46.73 tff(24139,plain,
% 73.58/46.73 (~v127(constB157, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24138, 24131])).
% 73.58/46.73 tff(24140,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24141,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24142,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24141, 24140])).
% 73.58/46.73 tff(24143,plain,
% 73.58/46.73 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24142, 1289, 24087])).
% 73.58/46.73 tff(24144,plain,
% 73.58/46.73 (~v129(constB158, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24143, 24139])).
% 73.58/46.73 tff(24145,plain,
% 73.58/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24146,plain,
% 73.58/46.73 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24147,plain,
% 73.58/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24146])).
% 73.58/46.73 tff(24148,plain,
% 73.58/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24147, 24145])).
% 73.58/46.73 tff(24149,plain,
% 73.58/46.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24150,plain,
% 73.58/46.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 73.58/46.73 tff(24151,plain,
% 73.58/46.73 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24150, 1304, 24144])).
% 73.58/46.73 tff(24152,plain,
% 73.58/46.73 (~v90(constB158, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24151, 24127])).
% 73.58/46.73 tff(24153,plain,
% 73.58/46.73 ((~v1(constB159)) <=> (~v1(constB159))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24154,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 73.58/46.73 tff(24155,plain,
% 73.58/46.73 (~v1(constB159)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 73.58/46.73 tff(24156,plain,
% 73.58/46.73 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24157,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 73.58/46.73 tff(24158,plain,
% 73.58/46.73 (nextState(constB158, constB159)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 73.58/46.73 tff(24159,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24160,plain,
% 73.58/46.73 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24161,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24160])).
% 73.58/46.73 tff(24162,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24161, 24159])).
% 73.58/46.73 tff(24163,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24164,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 73.58/46.73 tff(24165,plain,
% 73.58/46.73 (~v101(constB159)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24164, 288, 24158, 24155])).
% 73.58/46.73 tff(24166,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24167,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24168,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 73.58/46.73 tff(24169,plain,
% 73.58/46.73 (v101(constB159) | (~v100(constB159))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24168, 305, 24158])).
% 73.58/46.73 tff(24170,plain,
% 73.58/46.73 (~v100(constB159)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24169, 24165])).
% 73.58/46.73 tff(24171,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24172,plain,
% 73.58/46.73 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24173,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24172])).
% 73.58/46.73 tff(24174,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24173, 24171])).
% 73.58/46.73 tff(24175,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24176,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 73.58/46.73 tff(24177,plain,
% 73.58/46.73 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24176, 320, 24158])).
% 73.58/46.73 tff(24178,plain,
% 73.58/46.73 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24177, 24170])).
% 73.58/46.73 tff(24179,plain,
% 73.58/46.73 (~v90(constB159, bitIndex2)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24178, 24152])).
% 73.58/46.73 tff(24180,plain,
% 73.58/46.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24181,plain,
% 73.58/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24182,plain,
% 73.58/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 73.58/46.73 tff(24183,plain,
% 73.58/46.73 (v130(constB157, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24182, 1649, 24005])).
% 73.58/46.73 tff(24184,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24185,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24186,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 73.58/46.73 tff(24187,plain,
% 73.58/46.73 ((~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24186, 990, 24072])).
% 73.58/46.73 tff(24188,plain,
% 73.58/46.73 (v127(constB157, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24187, 24183])).
% 73.58/46.73 tff(24189,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24190,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24191,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 73.58/46.73 tff(24192,plain,
% 73.58/46.73 ((~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24191, 1005, 24087])).
% 73.58/46.73 tff(24193,plain,
% 73.58/46.73 (v129(constB158, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24192, 24188])).
% 73.58/46.73 tff(24194,plain,
% 73.58/46.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24195,plain,
% 73.58/46.73 ((v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24196,plain,
% 73.58/46.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24195])).
% 73.58/46.73 tff(24197,plain,
% 73.58/46.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24196, 24194])).
% 73.58/46.73 tff(24198,plain,
% 73.58/46.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24199,plain,
% 73.58/46.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 73.58/46.73 tff(24200,plain,
% 73.58/46.73 (v90(constB158, bitIndex1) | (~v100(constB158))),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24199, 1020, 24193])).
% 73.58/46.73 tff(24201,plain,
% 73.58/46.73 (v90(constB158, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24200, 24127])).
% 73.58/46.73 tff(24202,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24203,plain,
% 73.58/46.73 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24204,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24203])).
% 73.58/46.73 tff(24205,plain,
% 73.58/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24204, 24202])).
% 73.58/46.73 tff(24206,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24207,plain,
% 73.58/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 73.58/46.73 tff(24208,plain,
% 73.58/46.73 ((~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24207, 1038, 24158])).
% 73.58/46.73 tff(24209,plain,
% 73.58/46.73 ((~v90(constB158, bitIndex1)) | v90(constB159, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24208, 24170])).
% 73.58/46.73 tff(24210,plain,
% 73.58/46.73 (v90(constB159, bitIndex1)),
% 73.58/46.73 inference(unit_resolution,[status(thm)],[24209, 24201])).
% 73.58/46.73 tff(24211,assumption,(v127(constB157, bitIndex0)), introduced(assumption)).
% 73.58/46.73 tff(24212,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24213,plain,
% 73.58/46.73 ((v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0))) <=> ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 73.58/46.73 inference(rewrite,[status(thm)],[])).
% 73.58/46.73 tff(24214,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)))),
% 73.58/46.73 inference(monotonicity,[status(thm)],[24213])).
% 73.58/46.73 tff(24215,plain,
% 73.58/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 73.58/46.73 inference(transitivity,[status(thm)],[24214, 24212])).
% 73.58/46.73 tff(24216,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))),
% 73.58/46.73 inference(quant_inst,[status(thm)],[])).
% 73.58/46.73 tff(24217,plain,
% 73.58/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)),
% 73.58/46.73 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 73.58/46.74 tff(24218,plain,
% 73.58/46.74 ((~v127(constB157, bitIndex0)) | v26(constB157)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24217, 769, 24015])).
% 73.58/46.74 tff(24219,plain,
% 73.58/46.74 (v26(constB157)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24218, 24211])).
% 73.58/46.74 tff(24220,plain,
% 73.58/46.74 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24221,plain,
% 73.58/46.74 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24222,plain,
% 73.58/46.74 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 73.58/46.74 tff(24223,plain,
% 73.58/46.74 ($false),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24222, 3193, 24211, 24219])).
% 73.58/46.74 tff(24224,plain,((~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.58/46.74 tff(24225,plain,
% 73.58/46.74 (~v127(constB157, bitIndex0)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24224, 24009])).
% 73.58/46.74 tff(24226,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24227,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24228,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 73.58/46.74 tff(24229,plain,
% 73.58/46.74 (v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24228, 787, 24087])).
% 73.58/46.74 tff(24230,plain,
% 73.58/46.74 (~v129(constB158, bitIndex0)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24229, 24225])).
% 73.58/46.74 tff(24231,plain,
% 73.58/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24232,plain,
% 73.58/46.74 (((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24233,plain,
% 73.58/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24232])).
% 73.58/46.74 tff(24234,plain,
% 73.58/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24233, 24231])).
% 73.58/46.74 tff(24235,plain,
% 73.58/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24236,plain,
% 73.58/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 73.58/46.74 tff(24237,plain,
% 73.58/46.74 ((~v90(constB158, bitIndex0)) | (~v100(constB158))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24236, 802, 24230])).
% 73.58/46.74 tff(24238,plain,
% 73.58/46.74 (~v90(constB158, bitIndex0)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24237, 24127])).
% 73.58/46.74 tff(24239,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24240,plain,
% 73.58/46.74 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24241,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24240])).
% 73.58/46.74 tff(24242,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24241, 24239])).
% 73.58/46.74 tff(24243,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24244,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 73.58/46.74 tff(24245,plain,
% 73.58/46.74 (v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24244, 362, 24158])).
% 73.58/46.74 tff(24246,plain,
% 73.58/46.74 (v90(constB158, bitIndex0) | (~v90(constB159, bitIndex0))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24245, 24170])).
% 73.58/46.74 tff(24247,plain,
% 73.58/46.74 (~v90(constB159, bitIndex0)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24246, 24238])).
% 73.58/46.74 tff(24248,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24249,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24250,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159)),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24249, 24248])).
% 73.58/46.74 tff(24251,plain,
% 73.58/46.74 (v121(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24250, 1734, 24247, 24210, 24179])).
% 73.58/46.74 tff(24252,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB159) | (~v121(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB159) | (~v121(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24253,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB159) | (~v121(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24254,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB159) | (~v121(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24253, 24252])).
% 73.58/46.74 tff(24255,plain,
% 73.58/46.74 (v117(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24254, 1775, 24251])).
% 73.58/46.74 tff(24256,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24257,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24258,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 73.58/46.74 tff(24259,plain,
% 73.58/46.74 (v116(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24258, 416, 24255])).
% 73.58/46.74 tff(24260,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24261,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24262,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 73.58/46.74 tff(24263,plain,
% 73.58/46.74 (v115(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24262, 427, 24259])).
% 73.58/46.74 tff(24264,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24265,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24266,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24265, 24264])).
% 73.58/46.74 tff(24267,plain,
% 73.58/46.74 (v114(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24266, 438, 24263])).
% 73.58/46.74 tff(24268,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24269,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24270,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 73.58/46.74 tff(24271,plain,
% 73.58/46.74 (v113(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24270, 449, 24267])).
% 73.58/46.74 tff(24272,assumption,(v26(constB159)), introduced(assumption)).
% 73.58/46.74 tff(24273,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24274,plain,
% 73.58/46.74 ($false),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24273, 26, 24272])).
% 73.58/46.74 tff(24275,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 73.58/46.74 tff(24276,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24277,plain,
% 73.58/46.74 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24278,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159))))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24277])).
% 73.58/46.74 tff(24279,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24278, 24276])).
% 73.58/46.74 tff(24280,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24281,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24280, 24279])).
% 73.58/46.74 tff(24282,plain,
% 73.58/46.74 (v112(constB159) | (~v113(constB159))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24281, 463, 24275])).
% 73.58/46.74 tff(24283,plain,
% 73.58/46.74 (v112(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24282, 24271])).
% 73.58/46.74 tff(24284,plain,
% 73.58/46.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24285,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24286,plain,
% 73.58/46.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 73.58/46.74 tff(24287,plain,
% 73.58/46.74 (v108(constB159)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24286, 475, 24283])).
% 73.58/46.74 tff(24288,plain,
% 73.58/46.74 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24289,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 73.58/46.74 tff(24290,plain,
% 73.58/46.74 (nextState(constB159, constB160)),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 73.58/46.74 tff(24291,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24292,plain,
% 73.58/46.74 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24293,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24292])).
% 73.58/46.74 tff(24294,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24293, 24291])).
% 73.58/46.74 tff(24295,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24296,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 73.58/46.74 tff(24297,plain,
% 73.58/46.74 (v110(constB160) | (~v108(constB159))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24296, 492, 24290])).
% 73.58/46.74 tff(24298,plain,
% 73.58/46.74 (v110(constB160)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24297, 24287])).
% 73.58/46.74 tff(24299,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24300,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24301,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 73.58/46.74 tff(24302,plain,
% 73.58/46.74 (~v104(constB160)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24301, 510, 24290, 24155])).
% 73.58/46.74 tff(24303,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24304,plain,
% 73.58/46.74 (((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24305,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24304])).
% 73.58/46.74 tff(24306,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24305, 24303])).
% 73.58/46.74 tff(24307,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24308,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 73.58/46.74 tff(24309,plain,
% 73.58/46.74 (v104(constB160) | v102(constB160)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24308, 524, 24290])).
% 73.58/46.74 tff(24310,plain,
% 73.58/46.74 (v102(constB160)),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24309, 24302])).
% 73.58/46.74 tff(24311,plain,
% 73.58/46.74 (v1(constB160) <=> v1(constB160)),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24312,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 73.58/46.74 tff(24313,plain,
% 73.58/46.74 (v1(constB160)),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24312, 24311])).
% 73.58/46.74 tff(24314,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24315,plain,
% 73.58/46.74 (((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))) <=> ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 73.58/46.74 inference(rewrite,[status(thm)],[])).
% 73.58/46.74 tff(24316,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))))),
% 73.58/46.74 inference(monotonicity,[status(thm)],[24315])).
% 73.58/46.74 tff(24317,plain,
% 73.58/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 73.58/46.74 inference(transitivity,[status(thm)],[24316, 24314])).
% 73.58/46.74 tff(24318,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 73.58/46.74 inference(quant_inst,[status(thm)],[])).
% 73.58/46.74 tff(24319,plain,
% 73.58/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))),
% 73.58/46.74 inference(modus_ponens,[status(thm)],[24318, 24317])).
% 73.58/46.74 tff(24320,plain,
% 73.58/46.74 (v101(constB160) | (~v102(constB160))),
% 73.58/46.74 inference(unit_resolution,[status(thm)],[24319, 545, 24290, 24313])).
% 73.59/46.74 tff(24321,plain,
% 73.59/46.74 (v101(constB160)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24320, 24310])).
% 73.59/46.74 tff(24322,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24323,plain,
% 73.59/46.74 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24324,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 73.59/46.74 inference(monotonicity,[status(thm)],[24323])).
% 73.59/46.74 tff(24325,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.59/46.74 inference(transitivity,[status(thm)],[24324, 24322])).
% 73.59/46.74 tff(24326,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24327,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24326, 24325])).
% 73.59/46.74 tff(24328,plain,
% 73.59/46.74 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24327, 563, 24290])).
% 73.59/46.74 tff(24329,plain,
% 73.59/46.74 (v100(constB160) | (~v110(constB160))),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24328, 24321])).
% 73.59/46.74 tff(24330,plain,
% 73.59/46.74 (v100(constB160)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24329, 24298])).
% 73.59/46.74 tff(24331,plain,
% 73.59/46.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24332,plain,
% 73.59/46.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24333,plain,
% 73.59/46.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2))),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24332, 24331])).
% 73.59/46.74 tff(24334,plain,
% 73.59/46.74 (~v130(constB159, bitIndex2)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24333, 1748, 24251])).
% 73.59/46.74 tff(24335,plain,
% 73.59/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24336,plain,
% 73.59/46.74 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24337,plain,
% 73.59/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 73.59/46.74 inference(monotonicity,[status(thm)],[24336])).
% 73.59/46.74 tff(24338,plain,
% 73.59/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.59/46.74 inference(transitivity,[status(thm)],[24337, 24335])).
% 73.59/46.74 tff(24339,plain,
% 73.59/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24340,plain,
% 73.59/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 73.59/46.74 tff(24341,plain,
% 73.59/46.74 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24340, 1271, 24275])).
% 73.59/46.74 tff(24342,plain,
% 73.59/46.74 (~v127(constB159, bitIndex2)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24341, 24334])).
% 73.59/46.74 tff(24343,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24344,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24345,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24344, 24343])).
% 73.59/46.74 tff(24346,plain,
% 73.59/46.74 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24345, 1289, 24290])).
% 73.59/46.74 tff(24347,plain,
% 73.59/46.74 (~v129(constB160, bitIndex2)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24346, 24342])).
% 73.59/46.74 tff(24348,plain,
% 73.59/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24349,plain,
% 73.59/46.74 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24350,plain,
% 73.59/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))))),
% 73.59/46.74 inference(monotonicity,[status(thm)],[24349])).
% 73.59/46.74 tff(24351,plain,
% 73.59/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.59/46.74 inference(transitivity,[status(thm)],[24350, 24348])).
% 73.59/46.74 tff(24352,plain,
% 73.59/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24353,plain,
% 73.59/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 73.59/46.74 tff(24354,plain,
% 73.59/46.74 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24353, 1304, 24347])).
% 73.59/46.74 tff(24355,plain,
% 73.59/46.74 (~v90(constB160, bitIndex2)),
% 73.59/46.74 inference(unit_resolution,[status(thm)],[24354, 24330])).
% 73.59/46.74 tff(24356,plain,
% 73.59/46.74 ((~v1(constB161)) <=> (~v1(constB161))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24357,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 73.59/46.74 tff(24358,plain,
% 73.59/46.74 (~v1(constB161)),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 73.59/46.74 tff(24359,plain,
% 73.59/46.74 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24360,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 73.59/46.74 tff(24361,plain,
% 73.59/46.74 (nextState(constB160, constB161)),
% 73.59/46.74 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 73.59/46.74 tff(24362,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24363,plain,
% 73.59/46.74 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.59/46.74 inference(rewrite,[status(thm)],[])).
% 73.59/46.74 tff(24364,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 73.59/46.74 inference(monotonicity,[status(thm)],[24363])).
% 73.59/46.74 tff(24365,plain,
% 73.59/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.59/46.74 inference(transitivity,[status(thm)],[24364, 24362])).
% 73.59/46.74 tff(24366,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 73.59/46.74 inference(quant_inst,[status(thm)],[])).
% 73.59/46.74 tff(24367,plain,
% 73.59/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 73.59/46.75 tff(24368,plain,
% 73.59/46.75 (~v101(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24367, 288, 24361, 24358])).
% 73.59/46.75 tff(24369,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24370,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24371,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 73.59/46.75 tff(24372,plain,
% 73.59/46.75 (v101(constB161) | (~v100(constB161))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24371, 305, 24361])).
% 73.59/46.75 tff(24373,plain,
% 73.59/46.75 (~v100(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24372, 24368])).
% 73.59/46.75 tff(24374,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24375,plain,
% 73.59/46.75 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24376,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24375])).
% 73.59/46.75 tff(24377,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24376, 24374])).
% 73.59/46.75 tff(24378,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24379,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24378, 24377])).
% 73.59/46.75 tff(24380,plain,
% 73.59/46.75 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24379, 320, 24361])).
% 73.59/46.75 tff(24381,plain,
% 73.59/46.75 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24380, 24373])).
% 73.59/46.75 tff(24382,plain,
% 73.59/46.75 (~v90(constB161, bitIndex2)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24381, 24355])).
% 73.59/46.75 tff(24383,plain,
% 73.59/46.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24384,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24385,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24384, 24383])).
% 73.59/46.75 tff(24386,plain,
% 73.59/46.75 (v130(constB159, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24385, 1904, 24251])).
% 73.59/46.75 tff(24387,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24388,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24389,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24388, 24387])).
% 73.59/46.75 tff(24390,plain,
% 73.59/46.75 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24389, 990, 24275])).
% 73.59/46.75 tff(24391,plain,
% 73.59/46.75 (v127(constB159, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24390, 24386])).
% 73.59/46.75 tff(24392,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24393,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24394,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24393, 24392])).
% 73.59/46.75 tff(24395,plain,
% 73.59/46.75 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24394, 1005, 24290])).
% 73.59/46.75 tff(24396,plain,
% 73.59/46.75 (v129(constB160, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24395, 24391])).
% 73.59/46.75 tff(24397,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24398,plain,
% 73.59/46.75 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24399,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24398])).
% 73.59/46.75 tff(24400,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24399, 24397])).
% 73.59/46.75 tff(24401,plain,
% 73.59/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24402,plain,
% 73.59/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24401, 24400])).
% 73.59/46.75 tff(24403,plain,
% 73.59/46.75 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24402, 1020, 24396])).
% 73.59/46.75 tff(24404,plain,
% 73.59/46.75 (v90(constB160, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24403, 24330])).
% 73.59/46.75 tff(24405,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24406,plain,
% 73.59/46.75 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24407,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24406])).
% 73.59/46.75 tff(24408,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24407, 24405])).
% 73.59/46.75 tff(24409,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24410,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 73.59/46.75 tff(24411,plain,
% 73.59/46.75 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24410, 1038, 24361])).
% 73.59/46.75 tff(24412,plain,
% 73.59/46.75 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24411, 24373])).
% 73.59/46.75 tff(24413,plain,
% 73.59/46.75 (v90(constB161, bitIndex1)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24412, 24404])).
% 73.59/46.75 tff(24414,plain,
% 73.59/46.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24415,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24416,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 73.59/46.75 tff(24417,plain,
% 73.59/46.75 (v130(constB159, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24416, 1945, 24251])).
% 73.59/46.75 tff(24418,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24419,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24420,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 73.59/46.75 tff(24421,plain,
% 73.59/46.75 ((~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24420, 1413, 24275])).
% 73.59/46.75 tff(24422,plain,
% 73.59/46.75 (v127(constB159, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24421, 24417])).
% 73.59/46.75 tff(24423,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24424,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24425,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 73.59/46.75 tff(24426,plain,
% 73.59/46.75 ((~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24425, 1428, 24290])).
% 73.59/46.75 tff(24427,plain,
% 73.59/46.75 (v129(constB160, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24426, 24422])).
% 73.59/46.75 tff(24428,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24429,plain,
% 73.59/46.75 ((v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24430,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24429])).
% 73.59/46.75 tff(24431,plain,
% 73.59/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24430, 24428])).
% 73.59/46.75 tff(24432,plain,
% 73.59/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24433,plain,
% 73.59/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24432, 24431])).
% 73.59/46.75 tff(24434,plain,
% 73.59/46.75 (v90(constB160, bitIndex0) | (~v100(constB160))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24433, 1443, 24427])).
% 73.59/46.75 tff(24435,plain,
% 73.59/46.75 (v90(constB160, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24434, 24330])).
% 73.59/46.75 tff(24436,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24437,plain,
% 73.59/46.75 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24438,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24437])).
% 73.59/46.75 tff(24439,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24438, 24436])).
% 73.59/46.75 tff(24440,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24441,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24440, 24439])).
% 73.59/46.75 tff(24442,plain,
% 73.59/46.75 ((~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24441, 1461, 24361])).
% 73.59/46.75 tff(24443,plain,
% 73.59/46.75 ((~v90(constB160, bitIndex0)) | v90(constB161, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24442, 24373])).
% 73.59/46.75 tff(24444,plain,
% 73.59/46.75 (v90(constB161, bitIndex0)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24443, 24435])).
% 73.59/46.75 tff(24445,plain,
% 73.59/46.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24446,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24447,plain,
% 73.59/46.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 73.59/46.75 tff(24448,plain,
% 73.59/46.75 (v122(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24447, 1986, 24444, 24413, 24382])).
% 73.59/46.75 tff(24449,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24450,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24451,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 73.59/46.75 tff(24452,plain,
% 73.59/46.75 (v116(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24451, 1997, 24448])).
% 73.59/46.75 tff(24453,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24454,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24455,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 73.59/46.75 tff(24456,plain,
% 73.59/46.75 (v115(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24455, 427, 24452])).
% 73.59/46.75 tff(24457,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24458,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24459,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24458, 24457])).
% 73.59/46.75 tff(24460,plain,
% 73.59/46.75 (v114(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24459, 438, 24456])).
% 73.59/46.75 tff(24461,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24462,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24463,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24462, 24461])).
% 73.59/46.75 tff(24464,plain,
% 73.59/46.75 (v113(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24463, 449, 24460])).
% 73.59/46.75 tff(24465,assumption,(v26(constB161)), introduced(assumption)).
% 73.59/46.75 tff(24466,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24467,plain,
% 73.59/46.75 ($false),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24466, 26, 24465])).
% 73.59/46.75 tff(24468,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.75 tff(24469,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24470,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24471,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 73.59/46.75 tff(24472,plain,
% 73.59/46.75 ((~v113(constB161)) | v112(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24471, 463, 24468])).
% 73.59/46.75 tff(24473,plain,
% 73.59/46.75 (v112(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24472, 24464])).
% 73.59/46.75 tff(24474,plain,
% 73.59/46.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24475,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24476,plain,
% 73.59/46.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24475, 24474])).
% 73.59/46.75 tff(24477,plain,
% 73.59/46.75 (v108(constB161)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24476, 475, 24473])).
% 73.59/46.75 tff(24478,plain,
% 73.59/46.75 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24479,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 73.59/46.75 tff(24480,plain,
% 73.59/46.75 (nextState(constB161, constB162)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24479, 24478])).
% 73.59/46.75 tff(24481,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24482,plain,
% 73.59/46.75 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24483,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24482])).
% 73.59/46.75 tff(24484,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24483, 24481])).
% 73.59/46.75 tff(24485,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24486,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24485, 24484])).
% 73.59/46.75 tff(24487,plain,
% 73.59/46.75 (v110(constB162) | (~v108(constB161))),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24486, 492, 24480])).
% 73.59/46.75 tff(24488,plain,
% 73.59/46.75 (v110(constB162)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24487, 24477])).
% 73.59/46.75 tff(24489,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24490,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24491,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 73.59/46.75 tff(24492,plain,
% 73.59/46.75 (~v104(constB162)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24491, 510, 24480, 24358])).
% 73.59/46.75 tff(24493,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24494,plain,
% 73.59/46.75 (((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24495,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24494])).
% 73.59/46.75 tff(24496,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 73.59/46.75 inference(transitivity,[status(thm)],[24495, 24493])).
% 73.59/46.75 tff(24497,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 73.59/46.75 inference(quant_inst,[status(thm)],[])).
% 73.59/46.75 tff(24498,plain,
% 73.59/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24497, 24496])).
% 73.59/46.75 tff(24499,plain,
% 73.59/46.75 (v104(constB162) | v102(constB162)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24498, 524, 24480])).
% 73.59/46.75 tff(24500,plain,
% 73.59/46.75 (v102(constB162)),
% 73.59/46.75 inference(unit_resolution,[status(thm)],[24499, 24492])).
% 73.59/46.75 tff(24501,plain,
% 73.59/46.75 (v1(constB162) <=> v1(constB162)),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24502,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 73.59/46.75 tff(24503,plain,
% 73.59/46.75 (v1(constB162)),
% 73.59/46.75 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 73.59/46.75 tff(24504,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24505,plain,
% 73.59/46.75 (((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))) <=> ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 73.59/46.75 inference(rewrite,[status(thm)],[])).
% 73.59/46.75 tff(24506,plain,
% 73.59/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))))),
% 73.59/46.75 inference(monotonicity,[status(thm)],[24505])).
% 73.59/46.75 tff(24507,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24506, 24504])).
% 73.59/46.76 tff(24508,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24509,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24508, 24507])).
% 73.59/46.76 tff(24510,plain,
% 73.59/46.76 (v101(constB162) | (~v102(constB162))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24509, 545, 24480, 24503])).
% 73.59/46.76 tff(24511,plain,
% 73.59/46.76 (v101(constB162)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24510, 24500])).
% 73.59/46.76 tff(24512,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24513,plain,
% 73.59/46.76 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24514,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24513])).
% 73.59/46.76 tff(24515,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24514, 24512])).
% 73.59/46.76 tff(24516,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24517,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24516, 24515])).
% 73.59/46.76 tff(24518,plain,
% 73.59/46.76 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24517, 563, 24480])).
% 73.59/46.76 tff(24519,plain,
% 73.59/46.76 (v100(constB162) | (~v110(constB162))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24518, 24511])).
% 73.59/46.76 tff(24520,plain,
% 73.59/46.76 (v100(constB162)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24519, 24488])).
% 73.59/46.76 tff(24521,plain,
% 73.59/46.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24522,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24523,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24522, 24521])).
% 73.59/46.76 tff(24524,plain,
% 73.59/46.76 (v130(constB161, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24523, 2079, 24448])).
% 73.59/46.76 tff(24525,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24526,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24527,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24526, 24525])).
% 73.59/46.76 tff(24528,plain,
% 73.59/46.76 ((~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24527, 596, 24468])).
% 73.59/46.76 tff(24529,plain,
% 73.59/46.76 (v127(constB161, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24528, 24524])).
% 73.59/46.76 tff(24530,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24531,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24532,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24531, 24530])).
% 73.59/46.76 tff(24533,plain,
% 73.59/46.76 ((~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24532, 611, 24480])).
% 73.59/46.76 tff(24534,plain,
% 73.59/46.76 (v129(constB162, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24533, 24529])).
% 73.59/46.76 tff(24535,plain,
% 73.59/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24536,plain,
% 73.59/46.76 ((v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24537,plain,
% 73.59/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24536])).
% 73.59/46.76 tff(24538,plain,
% 73.59/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24537, 24535])).
% 73.59/46.76 tff(24539,plain,
% 73.59/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24540,plain,
% 73.59/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24539, 24538])).
% 73.59/46.76 tff(24541,plain,
% 73.59/46.76 (v90(constB162, bitIndex2) | (~v100(constB162))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24540, 626, 24534])).
% 73.59/46.76 tff(24542,plain,
% 73.59/46.76 (v90(constB162, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24541, 24520])).
% 73.59/46.76 tff(24543,plain,
% 73.59/46.76 ((~v1(constB163)) <=> (~v1(constB163))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24544,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 73.59/46.76 tff(24545,plain,
% 73.59/46.76 (~v1(constB163)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 73.59/46.76 tff(24546,plain,
% 73.59/46.76 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24547,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 73.59/46.76 tff(24548,plain,
% 73.59/46.76 (nextState(constB162, constB163)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 73.59/46.76 tff(24549,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24550,plain,
% 73.59/46.76 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24551,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24550])).
% 73.59/46.76 tff(24552,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24551, 24549])).
% 73.59/46.76 tff(24553,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24554,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24553, 24552])).
% 73.59/46.76 tff(24555,plain,
% 73.59/46.76 (~v101(constB163)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24554, 288, 24548, 24545])).
% 73.59/46.76 tff(24556,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24557,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24558,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24557, 24556])).
% 73.59/46.76 tff(24559,plain,
% 73.59/46.76 (v101(constB163) | (~v100(constB163))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24558, 305, 24548])).
% 73.59/46.76 tff(24560,plain,
% 73.59/46.76 (~v100(constB163)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24559, 24555])).
% 73.59/46.76 tff(24561,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24562,plain,
% 73.59/46.76 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24563,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24562])).
% 73.59/46.76 tff(24564,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24563, 24561])).
% 73.59/46.76 tff(24565,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24566,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 73.59/46.76 tff(24567,plain,
% 73.59/46.76 ((~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24566, 662, 24548])).
% 73.59/46.76 tff(24568,plain,
% 73.59/46.76 ((~v90(constB162, bitIndex2)) | v90(constB163, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24567, 24560])).
% 73.59/46.76 tff(24569,plain,
% 73.59/46.76 (v90(constB163, bitIndex2)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24568, 24542])).
% 73.59/46.76 tff(24570,plain,
% 73.59/46.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24571,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24572,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 73.59/46.76 tff(24573,plain,
% 73.59/46.76 (~v130(constB161, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24572, 2138, 24448])).
% 73.59/46.76 tff(24574,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24575,plain,
% 73.59/46.76 ((v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1))) <=> ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24576,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24575])).
% 73.59/46.76 tff(24577,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24576, 24574])).
% 73.59/46.76 tff(24578,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24579,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 73.59/46.76 tff(24580,plain,
% 73.59/46.76 ((~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24579, 695, 24468])).
% 73.59/46.76 tff(24581,plain,
% 73.59/46.76 (~v127(constB161, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24580, 24573])).
% 73.59/46.76 tff(24582,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24583,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24584,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 73.59/46.76 tff(24585,plain,
% 73.59/46.76 (v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24584, 713, 24480])).
% 73.59/46.76 tff(24586,plain,
% 73.59/46.76 (~v129(constB162, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24585, 24581])).
% 73.59/46.76 tff(24587,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24588,plain,
% 73.59/46.76 (((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24589,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24588])).
% 73.59/46.76 tff(24590,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24589, 24587])).
% 73.59/46.76 tff(24591,plain,
% 73.59/46.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24592,plain,
% 73.59/46.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24591, 24590])).
% 73.59/46.76 tff(24593,plain,
% 73.59/46.76 ((~v90(constB162, bitIndex1)) | (~v100(constB162))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24592, 728, 24586])).
% 73.59/46.76 tff(24594,plain,
% 73.59/46.76 (~v90(constB162, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24593, 24520])).
% 73.59/46.76 tff(24595,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24596,plain,
% 73.59/46.76 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24597,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24596])).
% 73.59/46.76 tff(24598,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24597, 24595])).
% 73.59/46.76 tff(24599,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24600,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 73.59/46.76 tff(24601,plain,
% 73.59/46.76 (v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24600, 341, 24548])).
% 73.59/46.76 tff(24602,plain,
% 73.59/46.76 (v90(constB162, bitIndex1) | (~v90(constB163, bitIndex1))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24601, 24560])).
% 73.59/46.76 tff(24603,plain,
% 73.59/46.76 (~v90(constB163, bitIndex1)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24602, 24594])).
% 73.59/46.76 tff(24604,plain,
% 73.59/46.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24605,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24606,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 73.59/46.76 tff(24607,plain,
% 73.59/46.76 (~v130(constB161, bitIndex0)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24606, 2182, 24448])).
% 73.59/46.76 tff(24608,assumption,(v127(constB161, bitIndex0)), introduced(assumption)).
% 73.59/46.76 tff(24609,assumption,(~v130(constB161, bitIndex0)), introduced(assumption)).
% 73.59/46.76 tff(24610,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24611,plain,
% 73.59/46.76 ((v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0))) <=> ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24612,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24611])).
% 73.59/46.76 tff(24613,plain,
% 73.59/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.76 inference(transitivity,[status(thm)],[24612, 24610])).
% 73.59/46.76 tff(24614,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24615,plain,
% 73.59/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 73.59/46.76 tff(24616,plain,
% 73.59/46.76 ((~v127(constB161, bitIndex0)) | v26(constB161)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24615, 769, 24609])).
% 73.59/46.76 tff(24617,plain,
% 73.59/46.76 (v26(constB161)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24616, 24608])).
% 73.59/46.76 tff(24618,plain,
% 73.59/46.76 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB161)) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB161)) | (~v127(constB161, bitIndex0)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24619,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB161)) | (~v127(constB161, bitIndex0)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24620,plain,
% 73.59/46.76 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB161)) | (~v127(constB161, bitIndex0))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 73.59/46.76 tff(24621,plain,
% 73.59/46.76 ($false),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24620, 3193, 24608, 24617])).
% 73.59/46.76 tff(24622,plain,((~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.76 tff(24623,plain,
% 73.59/46.76 (~v127(constB161, bitIndex0)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24622, 24607])).
% 73.59/46.76 tff(24624,plain,
% 73.59/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24625,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 73.59/46.76 inference(quant_inst,[status(thm)],[])).
% 73.59/46.76 tff(24626,plain,
% 73.59/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 73.59/46.76 inference(modus_ponens,[status(thm)],[24625, 24624])).
% 73.59/46.76 tff(24627,plain,
% 73.59/46.76 (v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24626, 787, 24480])).
% 73.59/46.76 tff(24628,plain,
% 73.59/46.76 (~v129(constB162, bitIndex0)),
% 73.59/46.76 inference(unit_resolution,[status(thm)],[24627, 24623])).
% 73.59/46.76 tff(24629,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24630,plain,
% 73.59/46.76 (((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 73.59/46.76 inference(rewrite,[status(thm)],[])).
% 73.59/46.76 tff(24631,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))))),
% 73.59/46.76 inference(monotonicity,[status(thm)],[24630])).
% 73.59/46.76 tff(24632,plain,
% 73.59/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24631, 24629])).
% 73.59/46.77 tff(24633,plain,
% 73.59/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24634,plain,
% 73.59/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24633, 24632])).
% 73.59/46.77 tff(24635,plain,
% 73.59/46.77 ((~v90(constB162, bitIndex0)) | (~v100(constB162))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24634, 802, 24628])).
% 73.59/46.77 tff(24636,plain,
% 73.59/46.77 (~v90(constB162, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24635, 24520])).
% 73.59/46.77 tff(24637,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24638,plain,
% 73.59/46.77 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24639,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24638])).
% 73.59/46.77 tff(24640,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24639, 24637])).
% 73.59/46.77 tff(24641,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24642,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24641, 24640])).
% 73.59/46.77 tff(24643,plain,
% 73.59/46.77 (v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24642, 362, 24548])).
% 73.59/46.77 tff(24644,plain,
% 73.59/46.77 (v90(constB162, bitIndex0) | (~v90(constB163, bitIndex0))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24643, 24560])).
% 73.59/46.77 tff(24645,plain,
% 73.59/46.77 (~v90(constB163, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24644, 24636])).
% 73.59/46.77 tff(24646,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24647,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24648,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24647, 24646])).
% 73.59/46.77 tff(24649,plain,
% 73.59/46.77 (v123(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24648, 829, 24645, 24603, 24569])).
% 73.59/46.77 tff(24650,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB163) | (~v123(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB163) | (~v123(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24651,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB163) | (~v123(constB163)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24652,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB163) | (~v123(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 73.59/46.77 tff(24653,plain,
% 73.59/46.77 (v115(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24652, 840, 24649])).
% 73.59/46.77 tff(24654,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24655,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24656,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24655, 24654])).
% 73.59/46.77 tff(24657,plain,
% 73.59/46.77 (v114(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24656, 438, 24653])).
% 73.59/46.77 tff(24658,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24659,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24660,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24659, 24658])).
% 73.59/46.77 tff(24661,plain,
% 73.59/46.77 (v113(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24660, 449, 24657])).
% 73.59/46.77 tff(24662,assumption,(v26(constB163)), introduced(assumption)).
% 73.59/46.77 tff(24663,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24664,plain,
% 73.59/46.77 ($false),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24663, 26, 24662])).
% 73.59/46.77 tff(24665,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.77 tff(24666,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24667,plain,
% 73.59/46.77 ((v26(constB163) | (~v113(constB163)) | v112(constB163)) <=> (v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24668,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24667])).
% 73.59/46.77 tff(24669,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24668, 24666])).
% 73.59/46.77 tff(24670,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24671,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24670, 24669])).
% 73.59/46.77 tff(24672,plain,
% 73.59/46.77 (v112(constB163) | (~v113(constB163))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24671, 463, 24665])).
% 73.59/46.77 tff(24673,plain,
% 73.59/46.77 (v112(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24672, 24661])).
% 73.59/46.77 tff(24674,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24675,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24676,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 73.59/46.77 tff(24677,plain,
% 73.59/46.77 (v108(constB163)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24676, 475, 24673])).
% 73.59/46.77 tff(24678,plain,
% 73.59/46.77 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24679,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 73.59/46.77 tff(24680,plain,
% 73.59/46.77 (nextState(constB163, constB164)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 73.59/46.77 tff(24681,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24682,plain,
% 73.59/46.77 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24683,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24682])).
% 73.59/46.77 tff(24684,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24683, 24681])).
% 73.59/46.77 tff(24685,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24686,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24685, 24684])).
% 73.59/46.77 tff(24687,plain,
% 73.59/46.77 (v110(constB164) | (~v108(constB163))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24686, 492, 24680])).
% 73.59/46.77 tff(24688,plain,
% 73.59/46.77 (v110(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24687, 24677])).
% 73.59/46.77 tff(24689,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24690,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24691,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 73.59/46.77 tff(24692,plain,
% 73.59/46.77 (~v104(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24691, 510, 24680, 24545])).
% 73.59/46.77 tff(24693,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24694,plain,
% 73.59/46.77 (((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24695,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24694])).
% 73.59/46.77 tff(24696,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24695, 24693])).
% 73.59/46.77 tff(24697,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24698,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24697, 24696])).
% 73.59/46.77 tff(24699,plain,
% 73.59/46.77 (v104(constB164) | v102(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24698, 524, 24680])).
% 73.59/46.77 tff(24700,plain,
% 73.59/46.77 (v102(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24699, 24692])).
% 73.59/46.77 tff(24701,plain,
% 73.59/46.77 (v1(constB164) <=> v1(constB164)),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24702,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 73.59/46.77 tff(24703,plain,
% 73.59/46.77 (v1(constB164)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 73.59/46.77 tff(24704,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24705,plain,
% 73.59/46.77 (((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))) <=> ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24706,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24705])).
% 73.59/46.77 tff(24707,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24706, 24704])).
% 73.59/46.77 tff(24708,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24709,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24708, 24707])).
% 73.59/46.77 tff(24710,plain,
% 73.59/46.77 (v101(constB164) | (~v102(constB164))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24709, 545, 24680, 24703])).
% 73.59/46.77 tff(24711,plain,
% 73.59/46.77 (v101(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24710, 24700])).
% 73.59/46.77 tff(24712,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24713,plain,
% 73.59/46.77 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24714,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24713])).
% 73.59/46.77 tff(24715,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24714, 24712])).
% 73.59/46.77 tff(24716,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24717,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 73.59/46.77 tff(24718,plain,
% 73.59/46.77 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24717, 563, 24680])).
% 73.59/46.77 tff(24719,plain,
% 73.59/46.77 (v100(constB164) | (~v110(constB164))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24718, 24711])).
% 73.59/46.77 tff(24720,plain,
% 73.59/46.77 (v100(constB164)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24719, 24688])).
% 73.59/46.77 tff(24721,plain,
% 73.59/46.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24722,plain,
% 73.59/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24723,plain,
% 73.59/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24722, 24721])).
% 73.59/46.77 tff(24724,plain,
% 73.59/46.77 (v130(constB163, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24723, 976, 24649])).
% 73.59/46.77 tff(24725,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24726,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24727,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 73.59/46.77 tff(24728,plain,
% 73.59/46.77 ((~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24727, 990, 24665])).
% 73.59/46.77 tff(24729,plain,
% 73.59/46.77 (v127(constB163, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24728, 24724])).
% 73.59/46.77 tff(24730,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24731,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24732,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24731, 24730])).
% 73.59/46.77 tff(24733,plain,
% 73.59/46.77 ((~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24732, 1005, 24680])).
% 73.59/46.77 tff(24734,plain,
% 73.59/46.77 (v129(constB164, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24733, 24729])).
% 73.59/46.77 tff(24735,plain,
% 73.59/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24736,plain,
% 73.59/46.77 ((v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24737,plain,
% 73.59/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24736])).
% 73.59/46.77 tff(24738,plain,
% 73.59/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24737, 24735])).
% 73.59/46.77 tff(24739,plain,
% 73.59/46.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24740,plain,
% 73.59/46.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24739, 24738])).
% 73.59/46.77 tff(24741,plain,
% 73.59/46.77 (v90(constB164, bitIndex1) | (~v100(constB164))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24740, 1020, 24734])).
% 73.59/46.77 tff(24742,plain,
% 73.59/46.77 (v90(constB164, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24741, 24720])).
% 73.59/46.77 tff(24743,plain,
% 73.59/46.77 ((~v1(constB165)) <=> (~v1(constB165))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24744,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 73.59/46.77 tff(24745,plain,
% 73.59/46.77 (~v1(constB165)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24744, 24743])).
% 73.59/46.77 tff(24746,plain,
% 73.59/46.77 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24747,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 73.59/46.77 tff(24748,plain,
% 73.59/46.77 (nextState(constB164, constB165)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 73.59/46.77 tff(24749,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24750,plain,
% 73.59/46.77 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24751,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24750])).
% 73.59/46.77 tff(24752,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24751, 24749])).
% 73.59/46.77 tff(24753,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24754,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24753, 24752])).
% 73.59/46.77 tff(24755,plain,
% 73.59/46.77 (~v101(constB165)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24754, 288, 24748, 24745])).
% 73.59/46.77 tff(24756,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24757,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24758,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 73.59/46.77 tff(24759,plain,
% 73.59/46.77 (v101(constB165) | (~v100(constB165))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24758, 305, 24748])).
% 73.59/46.77 tff(24760,plain,
% 73.59/46.77 (~v100(constB165)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24759, 24755])).
% 73.59/46.77 tff(24761,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24762,plain,
% 73.59/46.77 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24763,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24762])).
% 73.59/46.77 tff(24764,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24763, 24761])).
% 73.59/46.77 tff(24765,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24766,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24765, 24764])).
% 73.59/46.77 tff(24767,plain,
% 73.59/46.77 ((~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24766, 1038, 24748])).
% 73.59/46.77 tff(24768,plain,
% 73.59/46.77 ((~v90(constB164, bitIndex1)) | v90(constB165, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24767, 24760])).
% 73.59/46.77 tff(24769,plain,
% 73.59/46.77 (v90(constB165, bitIndex1)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24768, 24742])).
% 73.59/46.77 tff(24770,plain,
% 73.59/46.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24771,plain,
% 73.59/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24772,plain,
% 73.59/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 73.59/46.77 tff(24773,plain,
% 73.59/46.77 (~v130(constB163, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24772, 1057, 24649])).
% 73.59/46.77 tff(24774,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24775,plain,
% 73.59/46.77 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24776,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24775])).
% 73.59/46.77 tff(24777,plain,
% 73.59/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24776, 24774])).
% 73.59/46.77 tff(24778,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24779,plain,
% 73.59/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 73.59/46.77 tff(24780,plain,
% 73.59/46.77 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24779, 769, 24665])).
% 73.59/46.77 tff(24781,plain,
% 73.59/46.77 (~v127(constB163, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24780, 24773])).
% 73.59/46.77 tff(24782,plain,
% 73.59/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24783,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 73.59/46.77 inference(quant_inst,[status(thm)],[])).
% 73.59/46.77 tff(24784,plain,
% 73.59/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 73.59/46.77 inference(modus_ponens,[status(thm)],[24783, 24782])).
% 73.59/46.77 tff(24785,plain,
% 73.59/46.77 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24784, 787, 24680])).
% 73.59/46.77 tff(24786,plain,
% 73.59/46.77 (~v129(constB164, bitIndex0)),
% 73.59/46.77 inference(unit_resolution,[status(thm)],[24785, 24781])).
% 73.59/46.77 tff(24787,plain,
% 73.59/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24788,plain,
% 73.59/46.77 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.59/46.77 inference(rewrite,[status(thm)],[])).
% 73.59/46.77 tff(24789,plain,
% 73.59/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 73.59/46.77 inference(monotonicity,[status(thm)],[24788])).
% 73.59/46.77 tff(24790,plain,
% 73.59/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.59/46.77 inference(transitivity,[status(thm)],[24789, 24787])).
% 73.59/46.77 tff(24791,plain,
% 73.59/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24792,plain,
% 73.59/46.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24791, 24790])).
% 73.59/46.78 tff(24793,plain,
% 73.59/46.78 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24792, 802, 24786])).
% 73.59/46.78 tff(24794,plain,
% 73.59/46.78 (~v90(constB164, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24793, 24720])).
% 73.59/46.78 tff(24795,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24796,plain,
% 73.59/46.78 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24797,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 73.59/46.78 inference(monotonicity,[status(thm)],[24796])).
% 73.59/46.78 tff(24798,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.59/46.78 inference(transitivity,[status(thm)],[24797, 24795])).
% 73.59/46.78 tff(24799,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24800,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24799, 24798])).
% 73.59/46.78 tff(24801,plain,
% 73.59/46.78 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24800, 362, 24748])).
% 73.59/46.78 tff(24802,plain,
% 73.59/46.78 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24801, 24760])).
% 73.59/46.78 tff(24803,plain,
% 73.59/46.78 (~v90(constB165, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24802, 24794])).
% 73.59/46.78 tff(24804,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB161, bitIndex0)) | (~v123(constB161)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB161, bitIndex0)) | (~v123(constB161)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24805,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB161, bitIndex0)) | (~v123(constB161)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24806,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB161, bitIndex0)) | (~v123(constB161))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 73.59/46.78 tff(24807,plain,
% 73.59/46.78 (~v123(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24806, 4161, 24444])).
% 73.59/46.78 tff(24808,assumption,(v122(constB161)), introduced(assumption)).
% 73.59/46.78 tff(24809,plain,
% 73.59/46.78 (~v130(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24606, 2182, 24808])).
% 73.59/46.78 tff(24810,plain,
% 73.59/46.78 (~v127(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24622, 24809])).
% 73.59/46.78 tff(24811,assumption,(~v123(constB161)), introduced(assumption)).
% 73.59/46.78 tff(24812,assumption,(~v90(constB164, bitIndex2)), introduced(assumption)).
% 73.59/46.78 tff(24813,plain,
% 73.59/46.78 (~v130(constB161, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24572, 2138, 24808])).
% 73.59/46.78 tff(24814,assumption,(~v130(constB161, bitIndex1)), introduced(assumption)).
% 73.59/46.78 tff(24815,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB161)) | v130(constB161, bitIndex1))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24816,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB161)) | v130(constB161, bitIndex1))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24817,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB161)) | v130(constB161, bitIndex1)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24816, 24815])).
% 73.59/46.78 tff(24818,plain,
% 73.59/46.78 (~v120(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24817, 1649, 24814])).
% 73.59/46.78 tff(24819,assumption,(~v129(constB162, bitIndex0)), introduced(assumption)).
% 73.59/46.78 tff(24820,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24821,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24822,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 73.59/46.78 tff(24823,plain,
% 73.59/46.78 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24822, 1428, 24480])).
% 73.59/46.78 tff(24824,plain,
% 73.59/46.78 (~v127(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24823, 24819])).
% 73.59/46.78 tff(24825,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24826,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24827,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24826, 24825])).
% 73.59/46.78 tff(24828,plain,
% 73.59/46.78 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24827, 1413, 24468])).
% 73.59/46.78 tff(24829,plain,
% 73.59/46.78 (~v130(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24828, 24824])).
% 73.59/46.78 tff(24830,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB161)) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24831,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB161)) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24832,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB161)) | v130(constB161, bitIndex0)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 73.59/46.78 tff(24833,plain,
% 73.59/46.78 (~v124(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24832, 3911, 24829])).
% 73.59/46.78 tff(24834,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24835,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24836,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 73.59/46.78 tff(24837,plain,
% 73.59/46.78 (~v121(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24836, 1945, 24829])).
% 73.59/46.78 tff(24838,plain,
% 73.59/46.78 (~v127(constB161, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24580, 24814])).
% 73.59/46.78 tff(24839,plain,
% 73.59/46.78 (~v129(constB162, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24585, 24838])).
% 73.59/46.78 tff(24840,assumption,(v119(constB161)), introduced(assumption)).
% 73.59/46.78 tff(24841,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB161) | (~v119(constB161)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB161) | (~v119(constB161)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24842,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB161) | (~v119(constB161)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24843,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB161) | (~v119(constB161))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24842, 24841])).
% 73.59/46.78 tff(24844,plain,
% 73.59/46.78 (v118(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24843, 394, 24840])).
% 73.59/46.78 tff(24845,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB161) | (~v118(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB161) | (~v118(constB161)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24846,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB161) | (~v118(constB161)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24847,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB161) | (~v118(constB161))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 73.59/46.78 tff(24848,plain,
% 73.59/46.78 (v117(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24847, 405, 24844])).
% 73.59/46.78 tff(24849,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24850,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24851,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24850, 24849])).
% 73.59/46.78 tff(24852,plain,
% 73.59/46.78 (v116(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24851, 416, 24848])).
% 73.59/46.78 tff(24853,plain,
% 73.59/46.78 (v115(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24455, 427, 24852])).
% 73.59/46.78 tff(24854,plain,
% 73.59/46.78 (v114(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24459, 438, 24853])).
% 73.59/46.78 tff(24855,plain,
% 73.59/46.78 (v113(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24463, 449, 24854])).
% 73.59/46.78 tff(24856,plain,
% 73.59/46.78 (v112(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24472, 24855])).
% 73.59/46.78 tff(24857,plain,
% 73.59/46.78 (v108(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24476, 475, 24856])).
% 73.59/46.78 tff(24858,plain,
% 73.59/46.78 (v110(constB162)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24487, 24857])).
% 73.59/46.78 tff(24859,plain,
% 73.59/46.78 (v100(constB162)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24519, 24858])).
% 73.59/46.78 tff(24860,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB161)) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB161)) | v130(constB161, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24861,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB161)) | v130(constB161, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24862,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB161)) | v130(constB161, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 73.59/46.78 tff(24863,plain,
% 73.59/46.78 (v130(constB161, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24862, 582, 24840])).
% 73.59/46.78 tff(24864,plain,
% 73.59/46.78 (v127(constB161, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24528, 24863])).
% 73.59/46.78 tff(24865,plain,
% 73.59/46.78 (v129(constB162, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24533, 24864])).
% 73.59/46.78 tff(24866,plain,
% 73.59/46.78 (v90(constB162, bitIndex2) | (~v100(constB162))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24540, 626, 24865])).
% 73.59/46.78 tff(24867,plain,
% 73.59/46.78 (v90(constB162, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24866, 24859])).
% 73.59/46.78 tff(24868,plain,
% 73.59/46.78 (v90(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24568, 24867])).
% 73.59/46.78 tff(24869,assumption,(~v129(constB162, bitIndex1)), introduced(assumption)).
% 73.59/46.78 tff(24870,plain,
% 73.59/46.78 ((~v90(constB162, bitIndex1)) | (~v100(constB162))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24592, 728, 24869])).
% 73.59/46.78 tff(24871,plain,
% 73.59/46.78 (~v90(constB162, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24870, 24859])).
% 73.59/46.78 tff(24872,plain,
% 73.59/46.78 (~v90(constB163, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24602, 24871])).
% 73.59/46.78 tff(24873,plain,
% 73.59/46.78 ((~v90(constB162, bitIndex0)) | (~v100(constB162))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24634, 802, 24819])).
% 73.59/46.78 tff(24874,plain,
% 73.59/46.78 (~v90(constB162, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24873, 24859])).
% 73.59/46.78 tff(24875,plain,
% 73.59/46.78 (~v90(constB163, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24644, 24874])).
% 73.59/46.78 tff(24876,plain,
% 73.59/46.78 (v123(constB163)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24648, 829, 24875, 24872, 24868])).
% 73.59/46.78 tff(24877,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24878,plain,
% 73.59/46.78 (((~nextState(constB163, constB164)) | (~v90(constB163, bitIndex2)) | v100(constB164) | v90(constB164, bitIndex2)) <=> ((~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24879,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v90(constB163, bitIndex2)) | v100(constB164) | v90(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2)))),
% 73.59/46.78 inference(monotonicity,[status(thm)],[24878])).
% 73.59/46.78 tff(24880,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v90(constB163, bitIndex2)) | v100(constB164) | v90(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2))),
% 73.59/46.78 inference(transitivity,[status(thm)],[24879, 24877])).
% 73.59/46.78 tff(24881,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v90(constB163, bitIndex2)) | v100(constB164) | v90(constB164, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24882,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB163, bitIndex2)) | (~nextState(constB163, constB164)) | v100(constB164) | v90(constB164, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24881, 24880])).
% 73.59/46.78 tff(24883,plain,
% 73.59/46.78 ((~v90(constB163, bitIndex2)) | v100(constB164) | v90(constB164, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24882, 662, 24680])).
% 73.59/46.78 tff(24884,plain,
% 73.59/46.78 (v100(constB164)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24883, 24868, 24812])).
% 73.59/46.78 tff(24885,plain,
% 73.59/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24886,plain,
% 73.59/46.78 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24887,plain,
% 73.59/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 73.59/46.78 inference(monotonicity,[status(thm)],[24886])).
% 73.59/46.78 tff(24888,plain,
% 73.59/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.59/46.78 inference(transitivity,[status(thm)],[24887, 24885])).
% 73.59/46.78 tff(24889,plain,
% 73.59/46.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24890,plain,
% 73.59/46.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24889, 24888])).
% 73.59/46.78 tff(24891,plain,
% 73.59/46.78 ((~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24890, 626, 24812])).
% 73.59/46.78 tff(24892,plain,
% 73.59/46.78 (~v129(constB164, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24891, 24884])).
% 73.59/46.78 tff(24893,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24894,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24895,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24894, 24893])).
% 73.59/46.78 tff(24896,plain,
% 73.59/46.78 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24895, 611, 24680])).
% 73.59/46.78 tff(24897,plain,
% 73.59/46.78 (~v127(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24896, 24892])).
% 73.59/46.78 tff(24898,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24899,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24900,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 73.59/46.78 tff(24901,plain,
% 73.59/46.78 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24900, 596, 24665])).
% 73.59/46.78 tff(24902,plain,
% 73.59/46.78 (~v130(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24901, 24897])).
% 73.59/46.78 tff(24903,plain,
% 73.59/46.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24904,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24905,plain,
% 73.59/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 73.59/46.78 tff(24906,plain,
% 73.59/46.78 ($false),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24905, 917, 24902, 24876])).
% 73.59/46.78 tff(24907,plain,((~v119(constB161)) | v90(constB164, bitIndex2) | v129(constB162, bitIndex1) | v129(constB162, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.78 tff(24908,plain,
% 73.59/46.78 (~v119(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24907, 24839, 24812, 24819])).
% 73.59/46.78 tff(24909,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24910,plain,
% 73.59/46.78 ((v120(constB161) | v119(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, bitIndex0)) <=> (v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24911,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB161) | v119(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0)))),
% 73.59/46.78 inference(monotonicity,[status(thm)],[24910])).
% 73.59/46.78 tff(24912,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB161) | v119(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(transitivity,[status(thm)],[24911, 24909])).
% 73.59/46.78 tff(24913,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB161) | v119(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, bitIndex0))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24914,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB161) | v123(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 73.59/46.78 tff(24915,plain,
% 73.59/46.78 (v124(constB161) | v122(constB161) | v121(constB161) | v120(constB161) | v119(constB161) | v130(constB161, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24914, 1396, 24811])).
% 73.59/46.78 tff(24916,plain,
% 73.59/46.78 (v122(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24915, 24908, 24829, 24837, 24833, 24818])).
% 73.59/46.78 tff(24917,plain,
% 73.59/46.78 (v116(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24451, 1997, 24916])).
% 73.59/46.78 tff(24918,plain,
% 73.59/46.78 (v115(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24455, 427, 24917])).
% 73.59/46.78 tff(24919,plain,
% 73.59/46.78 (v114(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24459, 438, 24918])).
% 73.59/46.78 tff(24920,plain,
% 73.59/46.78 (v113(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24463, 449, 24919])).
% 73.59/46.78 tff(24921,plain,
% 73.59/46.78 (v112(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24472, 24920])).
% 73.59/46.78 tff(24922,plain,
% 73.59/46.78 (v108(constB161)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24476, 475, 24921])).
% 73.59/46.78 tff(24923,plain,
% 73.59/46.78 (v110(constB162)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24487, 24922])).
% 73.59/46.78 tff(24924,plain,
% 73.59/46.78 (v100(constB162)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24519, 24923])).
% 73.59/46.78 tff(24925,plain,
% 73.59/46.78 (v130(constB161, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24523, 2079, 24916])).
% 73.59/46.78 tff(24926,plain,
% 73.59/46.78 (v127(constB161, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24528, 24925])).
% 73.59/46.78 tff(24927,plain,
% 73.59/46.78 (v129(constB162, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24533, 24926])).
% 73.59/46.78 tff(24928,plain,
% 73.59/46.78 (v90(constB162, bitIndex2) | (~v100(constB162))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24540, 626, 24927])).
% 73.59/46.78 tff(24929,plain,
% 73.59/46.78 (v90(constB162, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24928, 24924])).
% 73.59/46.78 tff(24930,plain,
% 73.59/46.78 (v90(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24568, 24929])).
% 73.59/46.78 tff(24931,plain,
% 73.59/46.78 ((~v90(constB162, bitIndex1)) | (~v100(constB162))),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24592, 728, 24839])).
% 73.59/46.78 tff(24932,plain,
% 73.59/46.78 (~v90(constB162, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24931, 24924])).
% 73.59/46.78 tff(24933,plain,
% 73.59/46.78 (~v90(constB163, bitIndex1)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24602, 24932])).
% 73.59/46.78 tff(24934,plain,
% 73.59/46.78 (~v90(constB162, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24873, 24924])).
% 73.59/46.78 tff(24935,plain,
% 73.59/46.78 (~v90(constB163, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24644, 24934])).
% 73.59/46.78 tff(24936,plain,
% 73.59/46.78 (v123(constB163)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24648, 829, 24935, 24933, 24930])).
% 73.59/46.78 tff(24937,plain,
% 73.59/46.78 (v100(constB164)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24883, 24930, 24812])).
% 73.59/46.78 tff(24938,plain,
% 73.59/46.78 (~v129(constB164, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24891, 24937])).
% 73.59/46.78 tff(24939,plain,
% 73.59/46.78 (~v127(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24896, 24938])).
% 73.59/46.78 tff(24940,plain,
% 73.59/46.78 (~v130(constB163, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24901, 24939])).
% 73.59/46.78 tff(24941,plain,
% 73.59/46.78 ($false),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24905, 917, 24940, 24936])).
% 73.59/46.78 tff(24942,plain,(v130(constB161, bitIndex1) | v90(constB164, bitIndex2) | v129(constB162, bitIndex0) | v123(constB161)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.78 tff(24943,plain,
% 73.59/46.78 (v129(constB162, bitIndex0)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24942, 24813, 24812, 24811])).
% 73.59/46.78 tff(24944,plain,
% 73.59/46.78 ($false),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24627, 24943, 24810])).
% 73.59/46.78 tff(24945,plain,((~v122(constB161)) | v90(constB164, bitIndex2) | v123(constB161)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.78 tff(24946,plain,
% 73.59/46.78 (v90(constB164, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24945, 24448, 24807])).
% 73.59/46.78 tff(24947,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24948,plain,
% 73.59/46.78 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24949,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 73.59/46.78 inference(monotonicity,[status(thm)],[24948])).
% 73.59/46.78 tff(24950,plain,
% 73.59/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.59/46.78 inference(transitivity,[status(thm)],[24949, 24947])).
% 73.59/46.78 tff(24951,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24952,plain,
% 73.59/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 73.59/46.78 tff(24953,plain,
% 73.59/46.78 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24952, 662, 24748])).
% 73.59/46.78 tff(24954,plain,
% 73.59/46.78 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24953, 24760])).
% 73.59/46.78 tff(24955,plain,
% 73.59/46.78 (v90(constB165, bitIndex2)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24954, 24946])).
% 73.59/46.78 tff(24956,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24957,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24958,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165)),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 73.59/46.78 tff(24959,plain,
% 73.59/46.78 (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v125(constB165)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24958, 1101, 24955])).
% 73.59/46.78 tff(24960,plain,
% 73.59/46.78 (v125(constB165)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24959, 24803, 24769])).
% 73.59/46.78 tff(24961,plain,
% 73.59/46.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165)))),
% 73.59/46.78 inference(rewrite,[status(thm)],[])).
% 73.59/46.78 tff(24962,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))),
% 73.59/46.78 inference(quant_inst,[status(thm)],[])).
% 73.59/46.78 tff(24963,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165))),
% 73.59/46.78 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 73.59/46.78 tff(24964,plain,
% 73.59/46.78 (v113(constB165)),
% 73.59/46.78 inference(unit_resolution,[status(thm)],[24963, 1112, 24960])).
% 73.59/46.78 tff(24965,assumption,(v26(constB165)), introduced(assumption)).
% 73.59/46.78 tff(24966,plain,
% 73.59/46.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24967,plain,
% 73.59/46.79 ($false),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24966, 26, 24965])).
% 73.59/46.79 tff(24968,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 73.59/46.79 tff(24969,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24970,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24971,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 73.59/46.79 tff(24972,plain,
% 73.59/46.79 ((~v113(constB165)) | v112(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24971, 463, 24968])).
% 73.59/46.79 tff(24973,plain,
% 73.59/46.79 (v112(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24972, 24964])).
% 73.59/46.79 tff(24974,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24975,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24976,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 73.59/46.79 tff(24977,plain,
% 73.59/46.79 (v108(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24976, 475, 24973])).
% 73.59/46.79 tff(24978,plain,
% 73.59/46.79 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24979,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 73.59/46.79 tff(24980,plain,
% 73.59/46.79 (nextState(constB165, constB166)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 73.59/46.79 tff(24981,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24982,plain,
% 73.59/46.79 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24983,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[24982])).
% 73.59/46.79 tff(24984,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[24983, 24981])).
% 73.59/46.79 tff(24985,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24986,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24985, 24984])).
% 73.59/46.79 tff(24987,plain,
% 73.59/46.79 (v110(constB166) | (~v108(constB165))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24986, 492, 24980])).
% 73.59/46.79 tff(24988,plain,
% 73.59/46.79 (v110(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24987, 24977])).
% 73.59/46.79 tff(24989,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24990,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24991,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24990, 24989])).
% 73.59/46.79 tff(24992,plain,
% 73.59/46.79 (~v104(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24991, 510, 24980, 24745])).
% 73.59/46.79 tff(24993,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24994,plain,
% 73.59/46.79 (((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(24995,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[24994])).
% 73.59/46.79 tff(24996,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 73.59/46.79 inference(transitivity,[status(thm)],[24995, 24993])).
% 73.59/46.79 tff(24997,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(24998,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[24997, 24996])).
% 73.59/46.79 tff(24999,plain,
% 73.59/46.79 (v104(constB166) | v102(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24998, 524, 24980])).
% 73.59/46.79 tff(25000,plain,
% 73.59/46.79 (v102(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[24999, 24992])).
% 73.59/46.79 tff(25001,plain,
% 73.59/46.79 (v1(constB166) <=> v1(constB166)),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25002,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 73.59/46.79 tff(25003,plain,
% 73.59/46.79 (v1(constB166)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 73.59/46.79 tff(25004,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25005,plain,
% 73.59/46.79 (((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))) <=> ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25006,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25005])).
% 73.59/46.79 tff(25007,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25006, 25004])).
% 73.59/46.79 tff(25008,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25009,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 73.59/46.79 tff(25010,plain,
% 73.59/46.79 (v101(constB166) | (~v102(constB166))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25009, 545, 24980, 25003])).
% 73.59/46.79 tff(25011,plain,
% 73.59/46.79 (v101(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25010, 25000])).
% 73.59/46.79 tff(25012,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25013,plain,
% 73.59/46.79 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25014,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25013])).
% 73.59/46.79 tff(25015,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25014, 25012])).
% 73.59/46.79 tff(25016,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25017,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 73.59/46.79 tff(25018,plain,
% 73.59/46.79 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25017, 563, 24980])).
% 73.59/46.79 tff(25019,plain,
% 73.59/46.79 (v100(constB166) | (~v110(constB166))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25018, 25011])).
% 73.59/46.79 tff(25020,plain,
% 73.59/46.79 (v100(constB166)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25019, 24988])).
% 73.59/46.79 tff(25021,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25022,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25023,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 73.59/46.79 tff(25024,plain,
% 73.59/46.79 (~v124(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25023, 1229, 24769])).
% 73.59/46.79 tff(25025,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v123(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25026,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v123(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25027,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v123(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 73.59/46.79 tff(25028,plain,
% 73.59/46.79 (~v123(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25027, 1218, 24769])).
% 73.59/46.79 tff(25029,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB165)) | (~v90(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25030,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex2)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25031,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB165)) | (~v90(constB165, bitIndex2))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 73.59/46.79 tff(25032,plain,
% 73.59/46.79 (~v119(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25031, 3402, 24955])).
% 73.59/46.79 tff(25033,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v121(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v121(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25034,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v121(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25035,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v121(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25034, 25033])).
% 73.59/46.79 tff(25036,plain,
% 73.59/46.79 (~v121(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25035, 1182, 24955])).
% 73.59/46.79 tff(25037,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25038,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25039,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 73.59/46.79 tff(25040,plain,
% 73.59/46.79 (~v122(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25039, 1193, 24955])).
% 73.59/46.79 tff(25041,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v120(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v120(constB165)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25042,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v120(constB165)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25043,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v120(constB165))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 73.59/46.79 tff(25044,plain,
% 73.59/46.79 (~v120(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25043, 5411, 24955])).
% 73.59/46.79 tff(25045,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25046,plain,
% 73.59/46.79 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1))) <=> (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25047,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25046])).
% 73.59/46.79 tff(25048,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25047, 25045])).
% 73.59/46.79 tff(25049,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25050,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex1))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 73.59/46.79 tff(25051,plain,
% 73.59/46.79 (v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25050, 1349, 25044, 25040, 25036, 25032])).
% 73.59/46.79 tff(25052,plain,
% 73.59/46.79 (~v130(constB165, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25051, 25028, 25024])).
% 73.59/46.79 tff(25053,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25054,plain,
% 73.59/46.79 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25055,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25054])).
% 73.59/46.79 tff(25056,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25055, 25053])).
% 73.59/46.79 tff(25057,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25058,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 73.59/46.79 tff(25059,plain,
% 73.59/46.79 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25058, 695, 24968])).
% 73.59/46.79 tff(25060,plain,
% 73.59/46.79 (~v127(constB165, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25059, 25052])).
% 73.59/46.79 tff(25061,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25062,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25063,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25062, 25061])).
% 73.59/46.79 tff(25064,plain,
% 73.59/46.79 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25063, 713, 24980])).
% 73.59/46.79 tff(25065,plain,
% 73.59/46.79 (~v129(constB166, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25064, 25060])).
% 73.59/46.79 tff(25066,plain,
% 73.59/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25067,plain,
% 73.59/46.79 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25068,plain,
% 73.59/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25067])).
% 73.59/46.79 tff(25069,plain,
% 73.59/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25068, 25066])).
% 73.59/46.79 tff(25070,plain,
% 73.59/46.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25071,plain,
% 73.59/46.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 73.59/46.79 tff(25072,plain,
% 73.59/46.79 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25071, 728, 25065])).
% 73.59/46.79 tff(25073,plain,
% 73.59/46.79 (~v90(constB166, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25072, 25020])).
% 73.59/46.79 tff(25074,plain,
% 73.59/46.79 ((~v1(constB167)) <=> (~v1(constB167))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25075,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 73.59/46.79 tff(25076,plain,
% 73.59/46.79 (~v1(constB167)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 73.59/46.79 tff(25077,plain,
% 73.59/46.79 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25078,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 73.59/46.79 tff(25079,plain,
% 73.59/46.79 (nextState(constB166, constB167)),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 73.59/46.79 tff(25080,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25081,plain,
% 73.59/46.79 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25082,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25081])).
% 73.59/46.79 tff(25083,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25082, 25080])).
% 73.59/46.79 tff(25084,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25085,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 73.59/46.79 tff(25086,plain,
% 73.59/46.79 (~v101(constB167)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25085, 288, 25079, 25076])).
% 73.59/46.79 tff(25087,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25088,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25089,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25088, 25087])).
% 73.59/46.79 tff(25090,plain,
% 73.59/46.79 (v101(constB167) | (~v100(constB167))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25089, 305, 25079])).
% 73.59/46.79 tff(25091,plain,
% 73.59/46.79 (~v100(constB167)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25090, 25086])).
% 73.59/46.79 tff(25092,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25093,plain,
% 73.59/46.79 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25094,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 73.59/46.79 inference(monotonicity,[status(thm)],[25093])).
% 73.59/46.79 tff(25095,plain,
% 73.59/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.59/46.79 inference(transitivity,[status(thm)],[25094, 25092])).
% 73.59/46.79 tff(25096,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25097,plain,
% 73.59/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25096, 25095])).
% 73.59/46.79 tff(25098,plain,
% 73.59/46.79 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25097, 341, 25079])).
% 73.59/46.79 tff(25099,plain,
% 73.59/46.79 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25098, 25091])).
% 73.59/46.79 tff(25100,plain,
% 73.59/46.79 (~v90(constB167, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25099, 25073])).
% 73.59/46.79 tff(25101,plain,
% 73.59/46.79 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 73.59/46.79 inference(bind,[status(th)],[])).
% 73.59/46.79 tff(25102,plain,
% 73.59/46.79 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 73.59/46.79 inference(quant_intro,[status(thm)],[25101])).
% 73.59/46.79 tff(25103,plain,
% 73.59/46.79 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25104,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 73.59/46.79 tff(25105,plain,
% 73.59/46.79 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25104, 25103])).
% 73.59/46.79 tff(25106,plain,(
% 73.59/46.79 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 73.59/46.79 inference(skolemize,[status(sab)],[25105])).
% 73.59/46.79 tff(25107,plain,
% 73.59/46.79 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25106, 25102])).
% 73.59/46.79 tff(25108,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25109,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25110,plain,
% 73.59/46.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 73.59/46.79 tff(25111,plain,
% 73.59/46.79 (~v88(constB167, bitIndex1)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25110, 25107, 25100])).
% 73.59/46.79 tff(25112,assumption,(v130(constB165, bitIndex2)), introduced(assumption)).
% 73.59/46.79 tff(25113,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB165)) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25114,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25115,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB165)) | (~v130(constB165, bitIndex2))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 73.59/46.79 tff(25116,plain,
% 73.59/46.79 (~v120(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25115, 1587, 25112])).
% 73.59/46.79 tff(25117,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25118,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25119,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v130(constB165, bitIndex2))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 73.59/46.79 tff(25120,plain,
% 73.59/46.79 (~v121(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25119, 1748, 25112])).
% 73.59/46.79 tff(25121,plain,
% 73.59/46.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB165)) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25122,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB165)) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(quant_inst,[status(thm)],[])).
% 73.59/46.79 tff(25123,plain,
% 73.59/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB165)) | (~v130(constB165, bitIndex2))),
% 73.59/46.79 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 73.59/46.79 tff(25124,plain,
% 73.59/46.79 (~v124(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25123, 3733, 25112])).
% 73.59/46.79 tff(25125,assumption,(~v123(constB165)), introduced(assumption)).
% 73.59/46.79 tff(25126,assumption,(v90(constB165, bitIndex2)), introduced(assumption)).
% 73.59/46.79 tff(25127,plain,
% 73.59/46.79 (~v122(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25039, 1193, 25126])).
% 73.59/46.79 tff(25128,plain,
% 73.59/46.79 (~v119(constB165)),
% 73.59/46.79 inference(unit_resolution,[status(thm)],[25031, 3402, 25126])).
% 73.59/46.79 tff(25129,plain,
% 73.59/46.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.79 tff(25130,plain,
% 73.59/46.79 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2))) <=> (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2)))),
% 73.59/46.79 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25131,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2))))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25130])).
% 73.59/46.80 tff(25132,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2)))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25131, 25129])).
% 73.59/46.80 tff(25133,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25134,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~v130(constB165, bitIndex2))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 73.59/46.80 tff(25135,plain,
% 73.59/46.80 (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25134, 1254, 25112])).
% 73.59/46.80 tff(25136,plain,
% 73.59/46.80 ($false),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25135, 25128, 25127, 25125, 25124, 25120, 25116])).
% 73.59/46.80 tff(25137,plain,((~v90(constB165, bitIndex2)) | v123(constB165) | (~v130(constB165, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 73.59/46.80 tff(25138,plain,
% 73.59/46.80 (~v130(constB165, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25137, 25028, 24955])).
% 73.59/46.80 tff(25139,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25140,plain,
% 73.59/46.80 ((v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2))) <=> ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25141,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25140])).
% 73.59/46.80 tff(25142,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25141, 25139])).
% 73.59/46.80 tff(25143,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25144,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25143, 25142])).
% 73.59/46.80 tff(25145,plain,
% 73.59/46.80 ((~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25144, 1271, 24968])).
% 73.59/46.80 tff(25146,plain,
% 73.59/46.80 (~v127(constB165, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25145, 25138])).
% 73.59/46.80 tff(25147,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25148,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25149,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25148, 25147])).
% 73.59/46.80 tff(25150,plain,
% 73.59/46.80 (v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25149, 1289, 24980])).
% 73.59/46.80 tff(25151,plain,
% 73.59/46.80 (~v129(constB166, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25150, 25146])).
% 73.59/46.80 tff(25152,plain,
% 73.59/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25153,plain,
% 73.59/46.80 (((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25154,plain,
% 73.59/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166))))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25153])).
% 73.59/46.80 tff(25155,plain,
% 73.59/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25154, 25152])).
% 73.59/46.80 tff(25156,plain,
% 73.59/46.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25157,plain,
% 73.59/46.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 73.59/46.80 tff(25158,plain,
% 73.59/46.80 ((~v90(constB166, bitIndex2)) | (~v100(constB166))),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25157, 1304, 25151])).
% 73.59/46.80 tff(25159,plain,
% 73.59/46.80 (~v90(constB166, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25158, 25020])).
% 73.59/46.80 tff(25160,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25161,plain,
% 73.59/46.80 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25162,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25161])).
% 73.59/46.80 tff(25163,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25162, 25160])).
% 73.59/46.80 tff(25164,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25165,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 73.59/46.80 tff(25166,plain,
% 73.59/46.80 (v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25165, 320, 25079])).
% 73.59/46.80 tff(25167,plain,
% 73.59/46.80 (v90(constB166, bitIndex2) | (~v90(constB167, bitIndex2))),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25166, 25091])).
% 73.59/46.80 tff(25168,plain,
% 73.59/46.80 (~v90(constB167, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25167, 25159])).
% 73.59/46.80 tff(25169,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25170,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25171,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25170, 25169])).
% 73.59/46.80 tff(25172,plain,
% 73.59/46.80 (~v88(constB167, bitIndex2)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25171, 12119, 25168])).
% 73.59/46.80 tff(25173,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25174,plain,
% 73.59/46.80 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)) <=> (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25175,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0)))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25174])).
% 73.59/46.80 tff(25176,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25175, 25173])).
% 73.59/46.80 tff(25177,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25178,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB165) | v123(constB165) | v124(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | v130(constB165, bitIndex0)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 73.59/46.80 tff(25179,plain,
% 73.59/46.80 (v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25178, 1396, 25044, 25040, 25036, 25032])).
% 73.59/46.80 tff(25180,plain,
% 73.59/46.80 (v130(constB165, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25179, 25028, 25024])).
% 73.59/46.80 tff(25181,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25182,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25183,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25182, 25181])).
% 73.59/46.80 tff(25184,plain,
% 73.59/46.80 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25183, 1413, 24968])).
% 73.59/46.80 tff(25185,plain,
% 73.59/46.80 (v127(constB165, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25184, 25180])).
% 73.59/46.80 tff(25186,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25187,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25188,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 73.59/46.80 tff(25189,plain,
% 73.59/46.80 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25188, 1428, 24980])).
% 73.59/46.80 tff(25190,plain,
% 73.59/46.80 (v129(constB166, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25189, 25185])).
% 73.59/46.80 tff(25191,plain,
% 73.59/46.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25192,plain,
% 73.59/46.80 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25193,plain,
% 73.59/46.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25192])).
% 73.59/46.80 tff(25194,plain,
% 73.59/46.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25193, 25191])).
% 73.59/46.80 tff(25195,plain,
% 73.59/46.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25196,plain,
% 73.59/46.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 73.59/46.80 tff(25197,plain,
% 73.59/46.80 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25196, 1443, 25190])).
% 73.59/46.80 tff(25198,plain,
% 73.59/46.80 (v90(constB166, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25197, 25020])).
% 73.59/46.80 tff(25199,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25200,plain,
% 73.59/46.80 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25201,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25200])).
% 73.59/46.80 tff(25202,plain,
% 73.59/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25201, 25199])).
% 73.59/46.80 tff(25203,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25204,plain,
% 73.59/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25203, 25202])).
% 73.59/46.80 tff(25205,plain,
% 73.59/46.80 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25204, 1461, 25079])).
% 73.59/46.80 tff(25206,plain,
% 73.59/46.80 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25205, 25091])).
% 73.59/46.80 tff(25207,plain,
% 73.59/46.80 (v90(constB167, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25206, 25198])).
% 73.59/46.80 tff(25208,plain,
% 73.59/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25209,plain,
% 73.59/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25210,plain,
% 73.59/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25209, 25208])).
% 73.59/46.80 tff(25211,plain,
% 73.59/46.80 (v88(constB167, bitIndex0)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25210, 12199, 25207])).
% 73.59/46.80 tff(25212,plain,
% 73.59/46.80 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 73.59/46.80 inference(bind,[status(th)],[])).
% 73.59/46.80 tff(25213,plain,
% 73.59/46.80 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(quant_intro,[status(thm)],[25212])).
% 73.59/46.80 tff(25214,plain,
% 73.59/46.80 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25215,plain,
% 73.59/46.80 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 73.59/46.80 inference(bind,[status(th)],[])).
% 73.59/46.80 tff(25216,plain,
% 73.59/46.80 (![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(quant_intro,[status(thm)],[25215])).
% 73.59/46.80 tff(25217,axiom,(![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 73.59/46.80 tff(25218,plain,
% 73.59/46.80 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25217, 25216])).
% 73.59/46.80 tff(25219,plain,
% 73.59/46.80 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25218, 25214])).
% 73.59/46.80 tff(25220,plain,(
% 73.59/46.80 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(skolemize,[status(sab)],[25219])).
% 73.59/46.80 tff(25221,plain,
% 73.59/46.80 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25220, 25213])).
% 73.59/46.80 tff(25222,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25223,plain,
% 73.59/46.80 ((v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167)) <=> ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25224,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167)))),
% 73.59/46.80 inference(monotonicity,[status(thm)],[25223])).
% 73.59/46.80 tff(25225,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 73.59/46.80 inference(transitivity,[status(thm)],[25224, 25222])).
% 73.59/46.80 tff(25226,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25227,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167)),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 73.59/46.80 tff(25228,plain,
% 73.59/46.80 (v140(constB167)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25227, 25221, 25211, 25172, 25111])).
% 73.59/46.80 tff(25229,plain,
% 73.59/46.80 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v140(VarCurr))) <=> (v169(VarCurr) | (~v140(VarCurr))))),
% 73.59/46.80 inference(bind,[status(th)],[])).
% 73.59/46.80 tff(25230,plain,
% 73.59/46.80 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 73.59/46.80 inference(quant_intro,[status(thm)],[25229])).
% 73.59/46.80 tff(25231,plain,
% 73.59/46.80 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25232,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1')).
% 73.59/46.80 tff(25233,plain,
% 73.59/46.80 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 73.59/46.80 tff(25234,plain,(
% 73.59/46.80 ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 73.59/46.80 inference(skolemize,[status(sab)],[25233])).
% 73.59/46.80 tff(25235,plain,
% 73.59/46.80 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25234, 25230])).
% 73.59/46.80 tff(25236,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB167) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB167) | (~v140(constB167)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25237,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB167) | (~v140(constB167)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25238,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB167) | (~v140(constB167))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25237, 25236])).
% 73.59/46.80 tff(25239,plain,
% 73.59/46.80 (v169(constB167)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25238, 25235, 25228])).
% 73.59/46.80 tff(25240,plain,
% 73.59/46.80 (^[VarCurr: $i] : refl((v168(VarCurr) | (~v169(VarCurr))) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 73.59/46.80 inference(bind,[status(th)],[])).
% 73.59/46.80 tff(25241,plain,
% 73.59/46.80 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 73.59/46.80 inference(quant_intro,[status(thm)],[25240])).
% 73.59/46.80 tff(25242,plain,
% 73.59/46.80 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25243,axiom,(![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 73.59/46.80 tff(25244,plain,
% 73.59/46.80 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 73.59/46.80 tff(25245,plain,(
% 73.59/46.80 ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 73.59/46.80 inference(skolemize,[status(sab)],[25244])).
% 73.59/46.80 tff(25246,plain,
% 73.59/46.80 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25245, 25241])).
% 73.59/46.80 tff(25247,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB167) | (~v169(constB167)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB167) | (~v169(constB167)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25248,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB167) | (~v169(constB167)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25249,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB167) | (~v169(constB167))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25248, 25247])).
% 73.59/46.80 tff(25250,plain,
% 73.59/46.80 (v168(constB167)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25249, 25246, 25239])).
% 73.59/46.80 tff(25251,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB167) | (~v168(constB167)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB167) | (~v168(constB167)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25252,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB167) | (~v168(constB167)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25253,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB167) | (~v168(constB167))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25252, 25251])).
% 73.59/46.80 tff(25254,plain,
% 73.59/46.80 (v167(constB167)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25253, 12235, 25250])).
% 73.59/46.80 tff(25255,plain,
% 73.59/46.80 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB167)) | (~v170(constB167)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB167)) | (~v170(constB167)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25256,plain,
% 73.59/46.80 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB167)) | (~v170(constB167)))),
% 73.59/46.80 inference(quant_inst,[status(thm)],[])).
% 73.59/46.80 tff(25257,plain,
% 73.59/46.80 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB167)) | (~v170(constB167))),
% 73.59/46.80 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 73.59/46.80 tff(25258,plain,
% 73.59/46.80 (~v170(constB167)),
% 73.59/46.80 inference(unit_resolution,[status(thm)],[25257, 4351, 25254])).
% 73.59/46.80 tff(25259,plain,
% 73.59/46.80 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB167) | (~v167(constB167)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB167) | (~v167(constB167)))),
% 73.59/46.80 inference(rewrite,[status(thm)],[])).
% 73.59/46.80 tff(25260,plain,
% 73.59/46.80 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB167) | (~v167(constB167)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25261,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB167) | (~v167(constB167))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25260, 25259])).
% 73.59/46.81 tff(25262,plain,
% 73.59/46.81 (v166(constB167)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25261, 4362, 25254])).
% 73.59/46.81 tff(25263,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB167)) | (~v166(constB167)) | v170(constB167))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB167)) | (~v166(constB167)) | v170(constB167))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25264,plain,
% 73.59/46.81 (((~v166(constB167)) | v170(constB167) | (~v163(constB167))) <=> ((~v163(constB167)) | (~v166(constB167)) | v170(constB167))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25265,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB167)) | v170(constB167) | (~v163(constB167)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB167)) | (~v166(constB167)) | v170(constB167)))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25264])).
% 73.59/46.81 tff(25266,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB167)) | v170(constB167) | (~v163(constB167)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB167)) | (~v166(constB167)) | v170(constB167))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25265, 25263])).
% 73.59/46.81 tff(25267,plain,
% 73.59/46.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB167)) | v170(constB167) | (~v163(constB167)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25268,plain,
% 73.59/46.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB167)) | (~v166(constB167)) | v170(constB167)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 73.59/46.81 tff(25269,plain,
% 73.59/46.81 (~v163(constB167)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25268, 4376, 25262, 25258])).
% 73.59/46.81 tff(25270,plain,
% 73.59/46.81 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25271,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 73.59/46.81 tff(25272,plain,
% 73.59/46.81 (nextState(constB167, constB168)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 73.59/46.81 tff(25273,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25274,plain,
% 73.59/46.81 (((~nextState(constB167, constB168)) | v163(constB167) | (~v186(constB168))) <=> (v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25275,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB167, constB168)) | v163(constB167) | (~v186(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25274])).
% 73.59/46.81 tff(25276,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB167, constB168)) | v163(constB167) | (~v186(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25275, 25273])).
% 73.59/46.81 tff(25277,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB167, constB168)) | v163(constB167) | (~v186(constB168)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25278,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB167) | (~nextState(constB167, constB168)) | (~v186(constB168))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25277, 25276])).
% 73.59/46.81 tff(25279,plain,
% 73.59/46.81 (v163(constB167) | (~v186(constB168))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25278, 12267, 25272])).
% 73.59/46.81 tff(25280,plain,
% 73.59/46.81 (~v186(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25279, 25269])).
% 73.59/46.81 tff(25281,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25282,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25283,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 73.59/46.81 tff(25284,plain,
% 73.59/46.81 (~v104(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25283, 510, 25272, 25076])).
% 73.59/46.81 tff(25285,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB167, constB168)) | v181(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB167, constB168)) | v181(constB168) | v104(constB168))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25286,plain,
% 73.59/46.81 (((~nextState(constB167, constB168)) | v104(constB168) | v181(constB168)) <=> ((~nextState(constB167, constB168)) | v181(constB168) | v104(constB168))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25287,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v181(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB167, constB168)) | v181(constB168) | v104(constB168)))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25286])).
% 73.59/46.81 tff(25288,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v181(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB167, constB168)) | v181(constB168) | v104(constB168))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25287, 25285])).
% 73.59/46.81 tff(25289,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v181(constB168))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25290,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB167, constB168)) | v181(constB168) | v104(constB168)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25289, 25288])).
% 73.59/46.81 tff(25291,plain,
% 73.59/46.81 (v181(constB168) | v104(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25290, 12289, 25272])).
% 73.59/46.81 tff(25292,plain,
% 73.59/46.81 (v181(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25291, 25284])).
% 73.59/46.81 tff(25293,plain,
% 73.59/46.81 (v1(constB168) <=> v1(constB168)),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25294,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 73.59/46.81 tff(25295,plain,
% 73.59/46.81 (v1(constB168)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25294, 25293])).
% 73.59/46.81 tff(25296,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25297,plain,
% 73.59/46.81 (((~nextState(constB167, constB168)) | (~v1(constB168)) | v180(constB168) | (~v181(constB168))) <=> ((~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25298,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v180(constB168) | (~v181(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25297])).
% 73.59/46.81 tff(25299,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v180(constB168) | (~v181(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25298, 25296])).
% 73.59/46.81 tff(25300,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v180(constB168) | (~v181(constB168)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25301,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB167, constB168)) | v180(constB168) | (~v1(constB168)) | (~v181(constB168))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 73.59/46.81 tff(25302,plain,
% 73.59/46.81 (v180(constB168) | (~v181(constB168))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25301, 12310, 25272, 25295])).
% 73.59/46.81 tff(25303,plain,
% 73.59/46.81 (v180(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25302, 25292])).
% 73.59/46.81 tff(25304,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v179(constB168) | (~v180(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v179(constB168) | (~v180(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25305,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v179(constB168) | (~v180(constB168)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25306,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v179(constB168) | (~v180(constB168))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25305, 25304])).
% 73.59/46.81 tff(25307,plain,
% 73.59/46.81 (v179(constB168) | (~v180(constB168))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25306, 12328, 25272])).
% 73.59/46.81 tff(25308,plain,
% 73.59/46.81 (v179(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25307, 25303])).
% 73.59/46.81 tff(25309,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB168)) | v186(constB168) | (~v179(constB168)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB168)) | v186(constB168) | (~v179(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25310,plain,
% 73.59/46.81 (((~v179(constB168)) | (~v159(constB168)) | v186(constB168)) <=> ((~v159(constB168)) | v186(constB168) | (~v179(constB168)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25311,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB168)) | (~v159(constB168)) | v186(constB168))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB168)) | v186(constB168) | (~v179(constB168))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25310])).
% 73.59/46.81 tff(25312,plain,
% 73.59/46.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB168)) | (~v159(constB168)) | v186(constB168))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB168)) | v186(constB168) | (~v179(constB168)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25311, 25309])).
% 73.59/46.81 tff(25313,plain,
% 73.59/46.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB168)) | (~v159(constB168)) | v186(constB168))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25314,plain,
% 73.59/46.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB168)) | v186(constB168) | (~v179(constB168))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25313, 25312])).
% 73.59/46.81 tff(25315,plain,
% 73.59/46.81 ((~v159(constB168)) | v186(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25314, 12343, 25308])).
% 73.59/46.81 tff(25316,plain,
% 73.59/46.81 (~v159(constB168)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25315, 25280])).
% 73.59/46.81 tff(25317,plain,
% 73.59/46.81 ((~v1(constB169)) <=> (~v1(constB169))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25318,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 73.59/46.81 tff(25319,plain,
% 73.59/46.81 (~v1(constB169)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 73.59/46.81 tff(25320,plain,
% 73.59/46.81 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25321,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 73.59/46.81 tff(25322,plain,
% 73.59/46.81 (nextState(constB168, constB169)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25321, 25320])).
% 73.59/46.81 tff(25323,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25324,plain,
% 73.59/46.81 (((~nextState(constB168, constB169)) | v1(constB169) | (~v180(constB169))) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25325,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v1(constB169) | (~v180(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25324])).
% 73.59/46.81 tff(25326,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v1(constB169) | (~v180(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25325, 25323])).
% 73.59/46.81 tff(25327,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v1(constB169) | (~v180(constB169)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25328,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v180(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 73.59/46.81 tff(25329,plain,
% 73.59/46.81 (~v180(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25328, 12367, 25322, 25319])).
% 73.59/46.81 tff(25330,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25331,plain,
% 73.59/46.81 (((~nextState(constB168, constB169)) | (~v179(constB169)) | v180(constB169)) <=> ((~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25332,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB168, constB169)) | (~v179(constB169)) | v180(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25331])).
% 73.59/46.81 tff(25333,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB168, constB169)) | (~v179(constB169)) | v180(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25332, 25330])).
% 73.59/46.81 tff(25334,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB168, constB169)) | (~v179(constB169)) | v180(constB169))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25335,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB168, constB169)) | v180(constB169) | (~v179(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 73.59/46.81 tff(25336,plain,
% 73.59/46.81 (v180(constB169) | (~v179(constB169))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25335, 12384, 25322])).
% 73.59/46.81 tff(25337,plain,
% 73.59/46.81 (~v179(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25336, 25329])).
% 73.59/46.81 tff(25338,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25339,plain,
% 73.59/46.81 (((~nextState(constB168, constB169)) | v179(constB169) | v159(constB168) | (~v159(constB169))) <=> (v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25340,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB168, constB169)) | v179(constB169) | v159(constB168) | (~v159(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169))))),
% 73.59/46.81 inference(monotonicity,[status(thm)],[25339])).
% 73.59/46.81 tff(25341,plain,
% 73.59/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB168, constB169)) | v179(constB169) | v159(constB168) | (~v159(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169)))),
% 73.59/46.81 inference(transitivity,[status(thm)],[25340, 25338])).
% 73.59/46.81 tff(25342,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB168, constB169)) | v179(constB169) | v159(constB168) | (~v159(constB169)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25343,plain,
% 73.59/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB168) | (~nextState(constB168, constB169)) | v179(constB169) | (~v159(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 73.59/46.81 tff(25344,plain,
% 73.59/46.81 (v159(constB168) | v179(constB169) | (~v159(constB169))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25343, 12402, 25322])).
% 73.59/46.81 tff(25345,plain,
% 73.59/46.81 (v159(constB168) | (~v159(constB169))),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25344, 25337])).
% 73.59/46.81 tff(25346,plain,
% 73.59/46.81 (~v159(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25345, 25316])).
% 73.59/46.81 tff(25347,plain,
% 73.59/46.81 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB169) | (~v201(constB169)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB169) | (~v201(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25348,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB169) | (~v201(constB169)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25349,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB169) | (~v201(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25348, 25347])).
% 73.59/46.81 tff(25350,plain,
% 73.59/46.81 (~v201(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25349, 12418, 25346])).
% 73.59/46.81 tff(25351,plain,
% 73.59/46.81 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25352,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25353,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 73.59/46.81 tff(25354,plain,
% 73.59/46.81 (~v200(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25353, 4401, 25350])).
% 73.59/46.81 tff(25355,plain,
% 73.59/46.81 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25356,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25357,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169))),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 73.59/46.81 tff(25358,plain,
% 73.59/46.81 (~v198(constB169)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25357, 4412, 25354])).
% 73.59/46.81 tff(25359,plain,
% 73.59/46.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB165, bitIndex1)) | v88(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB165, bitIndex1)) | v88(constB165, bitIndex1))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25360,plain,
% 73.59/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB165, bitIndex1)) | v88(constB165, bitIndex1))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25361,plain,
% 73.59/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB165, bitIndex1)) | v88(constB165, bitIndex1)),
% 73.59/46.81 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 73.59/46.81 tff(25362,plain,
% 73.59/46.81 (v88(constB165, bitIndex1)),
% 73.59/46.81 inference(unit_resolution,[status(thm)],[25361, 4297, 24769])).
% 73.59/46.81 tff(25363,plain,
% 73.59/46.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 73.59/46.81 inference(rewrite,[status(thm)],[])).
% 73.59/46.81 tff(25364,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 73.59/46.81 inference(quant_inst,[status(thm)],[])).
% 73.59/46.81 tff(25365,plain,
% 73.59/46.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 73.66/46.81 tff(25366,plain,
% 73.66/46.81 (~v88(constB165, bitIndex0)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25365, 4274, 24803])).
% 73.66/46.81 tff(25367,plain,
% 73.66/46.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25368,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25369,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2)),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 73.66/46.81 tff(25370,plain,
% 73.66/46.81 (v88(constB165, bitIndex2)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25369, 4229, 24955])).
% 73.66/46.81 tff(25371,plain,
% 73.66/46.81 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25372,plain,
% 73.66/46.81 (((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0) | v144(constB165)) <=> ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25373,plain,
% 73.66/46.81 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0) | v144(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1))))),
% 73.66/46.81 inference(monotonicity,[status(thm)],[25372])).
% 73.66/46.81 tff(25374,plain,
% 73.66/46.81 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0) | v144(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1)))),
% 73.66/46.81 inference(transitivity,[status(thm)],[25373, 25371])).
% 73.66/46.81 tff(25375,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0) | v144(constB165))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25376,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25375, 25374])).
% 73.66/46.81 tff(25377,plain,
% 73.66/46.81 (v88(constB165, bitIndex0) | v144(constB165) | (~v88(constB165, bitIndex1))),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25376, 4311, 25370])).
% 73.66/46.81 tff(25378,plain,
% 73.66/46.81 (v144(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25377, 25366, 25362])).
% 73.66/46.81 tff(25379,plain,
% 73.66/46.81 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB165) | (~v144(constB165)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB165) | (~v144(constB165)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25380,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB165) | (~v144(constB165)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25381,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB165) | (~v144(constB165))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 73.66/46.81 tff(25382,plain,
% 73.66/46.81 (v142(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25381, 4326, 25378])).
% 73.66/46.81 tff(25383,plain,
% 73.66/46.81 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB165) | (~v142(constB165)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25384,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB165) | (~v142(constB165)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25385,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB165) | (~v142(constB165))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 73.66/46.81 tff(25386,plain,
% 73.66/46.81 (v167(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25385, 4337, 25382])).
% 73.66/46.81 tff(25387,plain,
% 73.66/46.81 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB165)) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB165)) | (~v170(constB165)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25388,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB165)) | (~v170(constB165)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25389,plain,
% 73.66/46.81 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB165)) | (~v170(constB165))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25388, 25387])).
% 73.66/46.81 tff(25390,plain,
% 73.66/46.81 (~v170(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25389, 4351, 25386])).
% 73.66/46.81 tff(25391,plain,
% 73.66/46.81 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB165) | (~v167(constB165)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB165) | (~v167(constB165)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25392,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB165) | (~v167(constB165)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25393,plain,
% 73.66/46.81 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB165) | (~v167(constB165))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25392, 25391])).
% 73.66/46.81 tff(25394,plain,
% 73.66/46.81 (v166(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25393, 4362, 25386])).
% 73.66/46.81 tff(25395,plain,
% 73.66/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB165)) | (~v166(constB165)) | v170(constB165))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB165)) | (~v166(constB165)) | v170(constB165))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25396,plain,
% 73.66/46.81 (((~v166(constB165)) | v170(constB165) | (~v163(constB165))) <=> ((~v163(constB165)) | (~v166(constB165)) | v170(constB165))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25397,plain,
% 73.66/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB165)) | v170(constB165) | (~v163(constB165)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB165)) | (~v166(constB165)) | v170(constB165)))),
% 73.66/46.81 inference(monotonicity,[status(thm)],[25396])).
% 73.66/46.81 tff(25398,plain,
% 73.66/46.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB165)) | v170(constB165) | (~v163(constB165)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB165)) | (~v166(constB165)) | v170(constB165))),
% 73.66/46.81 inference(transitivity,[status(thm)],[25397, 25395])).
% 73.66/46.81 tff(25399,plain,
% 73.66/46.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB165)) | v170(constB165) | (~v163(constB165)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25400,plain,
% 73.66/46.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB165)) | (~v166(constB165)) | v170(constB165)),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25399, 25398])).
% 73.66/46.81 tff(25401,plain,
% 73.66/46.81 (~v163(constB165)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25400, 4376, 25394, 25390])).
% 73.66/46.81 tff(25402,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25403,plain,
% 73.66/46.81 (((~nextState(constB165, constB166)) | v163(constB165) | (~v186(constB166))) <=> (v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166)))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25404,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB165, constB166)) | v163(constB165) | (~v186(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166))))),
% 73.66/46.81 inference(monotonicity,[status(thm)],[25403])).
% 73.66/46.81 tff(25405,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB165, constB166)) | v163(constB165) | (~v186(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166)))),
% 73.66/46.81 inference(transitivity,[status(thm)],[25404, 25402])).
% 73.66/46.81 tff(25406,plain,
% 73.66/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB165, constB166)) | v163(constB165) | (~v186(constB166)))),
% 73.66/46.81 inference(quant_inst,[status(thm)],[])).
% 73.66/46.81 tff(25407,plain,
% 73.66/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB165) | (~nextState(constB165, constB166)) | (~v186(constB166))),
% 73.66/46.81 inference(modus_ponens,[status(thm)],[25406, 25405])).
% 73.66/46.81 tff(25408,plain,
% 73.66/46.81 (v163(constB165) | (~v186(constB166))),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25407, 12267, 24980])).
% 73.66/46.81 tff(25409,plain,
% 73.66/46.81 (~v186(constB166)),
% 73.66/46.81 inference(unit_resolution,[status(thm)],[25408, 25401])).
% 73.66/46.81 tff(25410,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB165, constB166)) | v181(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB165, constB166)) | v181(constB166) | v104(constB166))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25411,plain,
% 73.66/46.81 (((~nextState(constB165, constB166)) | v104(constB166) | v181(constB166)) <=> ((~nextState(constB165, constB166)) | v181(constB166) | v104(constB166))),
% 73.66/46.81 inference(rewrite,[status(thm)],[])).
% 73.66/46.81 tff(25412,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v181(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB165, constB166)) | v181(constB166) | v104(constB166)))),
% 73.66/46.81 inference(monotonicity,[status(thm)],[25411])).
% 73.66/46.81 tff(25413,plain,
% 73.66/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v181(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB165, constB166)) | v181(constB166) | v104(constB166))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25412, 25410])).
% 73.66/46.82 tff(25414,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v181(constB166))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25415,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB165, constB166)) | v181(constB166) | v104(constB166)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 73.66/46.82 tff(25416,plain,
% 73.66/46.82 (v181(constB166) | v104(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25415, 12289, 24980])).
% 73.66/46.82 tff(25417,plain,
% 73.66/46.82 (v181(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25416, 24992])).
% 73.66/46.82 tff(25418,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25419,plain,
% 73.66/46.82 (((~nextState(constB165, constB166)) | (~v1(constB166)) | v180(constB166) | (~v181(constB166))) <=> ((~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25420,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v180(constB166) | (~v181(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166))))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25419])).
% 73.66/46.82 tff(25421,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v180(constB166) | (~v181(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166)))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25420, 25418])).
% 73.66/46.82 tff(25422,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v180(constB166) | (~v181(constB166)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25423,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB165, constB166)) | v180(constB166) | (~v1(constB166)) | (~v181(constB166))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 73.66/46.82 tff(25424,plain,
% 73.66/46.82 (v180(constB166) | (~v181(constB166))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25423, 12310, 24980, 25003])).
% 73.66/46.82 tff(25425,plain,
% 73.66/46.82 (v180(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25424, 25417])).
% 73.66/46.82 tff(25426,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v179(constB166) | (~v180(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v179(constB166) | (~v180(constB166)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25427,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v179(constB166) | (~v180(constB166)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25428,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v179(constB166) | (~v180(constB166))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 73.66/46.82 tff(25429,plain,
% 73.66/46.82 (v179(constB166) | (~v180(constB166))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25428, 12328, 24980])).
% 73.66/46.82 tff(25430,plain,
% 73.66/46.82 (v179(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25429, 25425])).
% 73.66/46.82 tff(25431,plain,
% 73.66/46.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB166)) | v186(constB166) | (~v179(constB166)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB166)) | v186(constB166) | (~v179(constB166)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25432,plain,
% 73.66/46.82 (((~v179(constB166)) | (~v159(constB166)) | v186(constB166)) <=> ((~v159(constB166)) | v186(constB166) | (~v179(constB166)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25433,plain,
% 73.66/46.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB166)) | (~v159(constB166)) | v186(constB166))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB166)) | v186(constB166) | (~v179(constB166))))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25432])).
% 73.66/46.82 tff(25434,plain,
% 73.66/46.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB166)) | (~v159(constB166)) | v186(constB166))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB166)) | v186(constB166) | (~v179(constB166)))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25433, 25431])).
% 73.66/46.82 tff(25435,plain,
% 73.66/46.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB166)) | (~v159(constB166)) | v186(constB166))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25436,plain,
% 73.66/46.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB166)) | v186(constB166) | (~v179(constB166))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 73.66/46.82 tff(25437,plain,
% 73.66/46.82 ((~v159(constB166)) | v186(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25436, 12343, 25430])).
% 73.66/46.82 tff(25438,plain,
% 73.66/46.82 (~v159(constB166)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25437, 25409])).
% 73.66/46.82 tff(25439,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25440,plain,
% 73.66/46.82 (((~nextState(constB166, constB167)) | v1(constB167) | (~v180(constB167))) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25441,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v1(constB167) | (~v180(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167))))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25440])).
% 73.66/46.82 tff(25442,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v1(constB167) | (~v180(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167)))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25441, 25439])).
% 73.66/46.82 tff(25443,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v1(constB167) | (~v180(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25444,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v180(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 73.66/46.82 tff(25445,plain,
% 73.66/46.82 (~v180(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25444, 12367, 25079, 25076])).
% 73.66/46.82 tff(25446,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25447,plain,
% 73.66/46.82 (((~nextState(constB166, constB167)) | (~v179(constB167)) | v180(constB167)) <=> ((~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25448,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB166, constB167)) | (~v179(constB167)) | v180(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167))))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25447])).
% 73.66/46.82 tff(25449,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB166, constB167)) | (~v179(constB167)) | v180(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167)))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25448, 25446])).
% 73.66/46.82 tff(25450,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB166, constB167)) | (~v179(constB167)) | v180(constB167))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25451,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB166, constB167)) | v180(constB167) | (~v179(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25450, 25449])).
% 73.66/46.82 tff(25452,plain,
% 73.66/46.82 (v180(constB167) | (~v179(constB167))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25451, 12384, 25079])).
% 73.66/46.82 tff(25453,plain,
% 73.66/46.82 (~v179(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25452, 25445])).
% 73.66/46.82 tff(25454,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25455,plain,
% 73.66/46.82 (((~nextState(constB166, constB167)) | v179(constB167) | v159(constB166) | (~v159(constB167))) <=> (v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25456,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB166, constB167)) | v179(constB167) | v159(constB166) | (~v159(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167))))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25455])).
% 73.66/46.82 tff(25457,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB166, constB167)) | v179(constB167) | v159(constB166) | (~v159(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167)))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25456, 25454])).
% 73.66/46.82 tff(25458,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB166, constB167)) | v179(constB167) | v159(constB166) | (~v159(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25459,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB166) | (~nextState(constB166, constB167)) | v179(constB167) | (~v159(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 73.66/46.82 tff(25460,plain,
% 73.66/46.82 (v159(constB166) | v179(constB167) | (~v159(constB167))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25459, 12402, 25079])).
% 73.66/46.82 tff(25461,plain,
% 73.66/46.82 (v159(constB166) | (~v159(constB167))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25460, 25453])).
% 73.66/46.82 tff(25462,plain,
% 73.66/46.82 (~v159(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25461, 25438])).
% 73.66/46.82 tff(25463,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB167) | (~v201(constB167)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB167) | (~v201(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25464,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB167) | (~v201(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25465,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB167) | (~v201(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25464, 25463])).
% 73.66/46.82 tff(25466,plain,
% 73.66/46.82 (~v201(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25465, 12418, 25462])).
% 73.66/46.82 tff(25467,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB167) | (~v200(constB167)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB167) | (~v200(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25468,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB167) | (~v200(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25469,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB167) | (~v200(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 73.66/46.82 tff(25470,plain,
% 73.66/46.82 (~v200(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25469, 4401, 25466])).
% 73.66/46.82 tff(25471,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB167) | (~v198(constB167)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB167) | (~v198(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25472,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB167) | (~v198(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25473,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB167) | (~v198(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25472, 25471])).
% 73.66/46.82 tff(25474,plain,
% 73.66/46.82 (~v198(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25473, 4412, 25470])).
% 73.66/46.82 tff(25475,assumption,(v18(constB168)), introduced(assumption)).
% 73.66/46.82 tff(25476,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB168))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25477,plain,
% 73.66/46.82 ($false),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25476, 58, 25475])).
% 73.66/46.82 tff(25478,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.82 tff(25479,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25480,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25481,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 73.66/46.82 tff(25482,plain,
% 73.66/46.82 (v22(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25481, 71, 25295])).
% 73.66/46.82 tff(25483,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25484,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25485,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 73.66/46.82 tff(25486,plain,
% 73.66/46.82 ((~v19(constB168)) | v18(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25485, 85, 25482])).
% 73.66/46.82 tff(25487,plain,
% 73.66/46.82 (~v19(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25486, 25478])).
% 73.66/46.82 tff(25488,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25489,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25490,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25489, 25488])).
% 73.66/46.82 tff(25491,plain,
% 73.66/46.82 (v13(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25490, 100, 25487])).
% 73.66/46.82 tff(25492,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25493,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25494,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25493, 25492])).
% 73.66/46.82 tff(25495,plain,
% 73.66/46.82 ((~v13(constB168)) | v9(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25494, 117, 25272])).
% 73.66/46.82 tff(25496,plain,
% 73.66/46.82 (v9(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25495, 25491])).
% 73.66/46.82 tff(25497,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v197(constB167))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB167) | (~v9(constB167)) | v197(constB167))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25498,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v197(constB167))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25499,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB167) | (~v9(constB167)) | v197(constB167)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25498, 25497])).
% 73.66/46.82 tff(25500,plain,
% 73.66/46.82 ((~v9(constB167)) | v197(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25499, 4454, 25076])).
% 73.66/46.82 tff(25501,plain,
% 73.66/46.82 (v197(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25500, 25496])).
% 73.66/46.82 tff(25502,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB167) | (~v197(constB167)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB167) | (~v197(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25503,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB167) | (~v197(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25504,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB167) | (~v197(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25503, 25502])).
% 73.66/46.82 tff(25505,plain,
% 73.66/46.82 (v196(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25504, 4466, 25501])).
% 73.66/46.82 tff(25506,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB167)) | (~v194(constB167)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB167)) | (~v194(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25507,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB167)) | (~v194(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25508,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB167)) | (~v194(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25507, 25506])).
% 73.66/46.82 tff(25509,plain,
% 73.66/46.82 (~v194(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25508, 4477, 25505])).
% 73.66/46.82 tff(25510,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB167) | v198(constB167) | (~v191(constB167)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB167) | v198(constB167) | (~v191(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25511,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB167) | v198(constB167) | (~v191(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25512,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB167) | v198(constB167) | (~v191(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25511, 25510])).
% 73.66/46.82 tff(25513,plain,
% 73.66/46.82 (v198(constB167) | (~v191(constB167))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25512, 4491, 25509])).
% 73.66/46.82 tff(25514,plain,
% 73.66/46.82 (~v191(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25513, 25474])).
% 73.66/46.82 tff(25515,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB167, constB168)) | v191(constB167) | (~v193(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB167, constB168)) | v191(constB167) | (~v193(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25516,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB167, constB168)) | v191(constB167) | (~v193(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25517,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB167, constB168)) | v191(constB167) | (~v193(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25516, 25515])).
% 73.66/46.82 tff(25518,plain,
% 73.66/46.82 (v191(constB167) | (~v193(constB168))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25517, 4506, 25272])).
% 73.66/46.82 tff(25519,plain,
% 73.66/46.82 (~v193(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25518, 25514])).
% 73.66/46.82 tff(25520,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB168) | (~v194(constB168)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB168) | (~v194(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25521,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB168) | (~v194(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25522,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB168) | (~v194(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 73.66/46.82 tff(25523,plain,
% 73.66/46.82 (~v194(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25522, 4518, 25519])).
% 73.66/46.82 tff(25524,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB168)) | (~v197(constB168)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB168)) | (~v197(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25525,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB168)) | (~v197(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25526,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB168)) | (~v197(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 73.66/46.82 tff(25527,plain,
% 73.66/46.82 (~v197(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25526, 4529, 25295])).
% 73.66/46.82 tff(25528,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB168) | (~v200(constB168)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB168) | (~v200(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25529,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB168) | (~v200(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25530,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB168) | (~v200(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 73.66/46.82 tff(25531,plain,
% 73.66/46.82 (~v200(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25530, 4540, 25527])).
% 73.66/46.82 tff(25532,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB168) | (~v198(constB168)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB168) | (~v198(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25533,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB168) | (~v198(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25534,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB168) | (~v198(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 73.66/46.82 tff(25535,plain,
% 73.66/46.82 (~v198(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25534, 4412, 25531])).
% 73.66/46.82 tff(25536,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB168) | v198(constB168) | (~v191(constB168)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB168) | v198(constB168) | (~v191(constB168)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25537,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB168) | v198(constB168) | (~v191(constB168)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25538,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB168) | v198(constB168) | (~v191(constB168))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25537, 25536])).
% 73.66/46.82 tff(25539,plain,
% 73.66/46.82 (v194(constB168) | (~v191(constB168))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25538, 4491, 25535])).
% 73.66/46.82 tff(25540,plain,
% 73.66/46.82 (~v191(constB168)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25539, 25523])).
% 73.66/46.82 tff(25541,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB168, constB169)) | v191(constB168) | (~v193(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB168, constB169)) | v191(constB168) | (~v193(constB169)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25542,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB168, constB169)) | v191(constB168) | (~v193(constB169)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25543,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB168, constB169)) | v191(constB168) | (~v193(constB169))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25542, 25541])).
% 73.66/46.82 tff(25544,plain,
% 73.66/46.82 (v191(constB168) | (~v193(constB169))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25543, 4506, 25322])).
% 73.66/46.82 tff(25545,plain,
% 73.66/46.82 (~v193(constB169)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25544, 25540])).
% 73.66/46.82 tff(25546,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB169) | (~v194(constB169)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB169) | (~v194(constB169)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25547,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB169) | (~v194(constB169)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25548,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB169) | (~v194(constB169))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25547, 25546])).
% 73.66/46.82 tff(25549,plain,
% 73.66/46.82 (~v194(constB169)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25548, 4518, 25545])).
% 73.66/46.82 tff(25550,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25551,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25552,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 73.66/46.82 tff(25553,plain,
% 73.66/46.82 (v198(constB169) | (~v191(constB169))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25552, 4491, 25549])).
% 73.66/46.82 tff(25554,plain,
% 73.66/46.82 (~v191(constB169)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25553, 25358])).
% 73.66/46.82 tff(25555,plain,
% 73.66/46.82 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25556,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 73.66/46.82 tff(25557,plain,
% 73.66/46.82 (nextState(constB169, constB170)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 73.66/46.82 tff(25558,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25559,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25560,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 73.66/46.82 tff(25561,plain,
% 73.66/46.82 (v191(constB169) | (~v193(constB170))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25560, 4506, 25557])).
% 73.66/46.82 tff(25562,plain,
% 73.66/46.82 (~v193(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25561, 25554])).
% 73.66/46.82 tff(25563,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25564,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25565,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 73.66/46.82 tff(25566,plain,
% 73.66/46.82 (~v194(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25565, 4518, 25562])).
% 73.66/46.82 tff(25567,plain,
% 73.66/46.82 (v1(constB170) <=> v1(constB170)),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25568,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 73.66/46.82 tff(25569,plain,
% 73.66/46.82 (v1(constB170)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 73.66/46.82 tff(25570,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25571,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25572,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 73.66/46.82 tff(25573,plain,
% 73.66/46.82 (~v197(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25572, 4529, 25569])).
% 73.66/46.82 tff(25574,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25575,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25576,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25575, 25574])).
% 73.66/46.82 tff(25577,plain,
% 73.66/46.82 (~v200(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25576, 4540, 25573])).
% 73.66/46.82 tff(25578,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25579,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25580,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 73.66/46.82 tff(25581,plain,
% 73.66/46.82 (~v198(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25580, 4412, 25577])).
% 73.66/46.82 tff(25582,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25583,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25584,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 73.66/46.82 tff(25585,plain,
% 73.66/46.82 (v194(constB170) | (~v191(constB170))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25584, 4491, 25581])).
% 73.66/46.82 tff(25586,plain,
% 73.66/46.82 (~v191(constB170)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25585, 25566])).
% 73.66/46.82 tff(25587,plain,
% 73.66/46.82 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25588,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 73.66/46.82 tff(25589,plain,
% 73.66/46.82 (nextState(constB170, constB171)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 73.66/46.82 tff(25590,plain,
% 73.66/46.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25591,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25592,plain,
% 73.66/46.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 73.66/46.82 tff(25593,plain,
% 73.66/46.82 (v191(constB170) | (~v193(constB171))),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25592, 4506, 25589])).
% 73.66/46.82 tff(25594,plain,
% 73.66/46.82 (~v193(constB171)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25593, 25586])).
% 73.66/46.82 tff(25595,plain,
% 73.66/46.82 ($false),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25594, 12526])).
% 73.66/46.82 tff(25596,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.82 tff(25597,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 73.66/46.82 tff(25598,plain,
% 73.66/46.82 (v1(constB20) <=> v1(sK0_VarCurr)),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25597])).
% 73.66/46.82 tff(25599,plain,
% 73.66/46.82 (v1(sK0_VarCurr) <=> v1(constB20)),
% 73.66/46.82 inference(symmetry,[status(thm)],[25598])).
% 73.66/46.82 tff(25600,plain,
% 73.66/46.82 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25599])).
% 73.66/46.82 tff(25601,plain,
% 73.66/46.82 (~v1(constB20)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[4604, 25600])).
% 73.66/46.82 tff(25602,plain,
% 73.66/46.82 ($false),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[2876, 25601])).
% 73.66/46.82 tff(25603,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.82 tff(25604,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 73.66/46.82 tff(25605,plain,
% 73.66/46.82 (v1(constB158) <=> v1(sK0_VarCurr)),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25604])).
% 73.66/46.82 tff(25606,plain,
% 73.66/46.82 (v1(sK0_VarCurr) <=> v1(constB158)),
% 73.66/46.82 inference(symmetry,[status(thm)],[25605])).
% 73.66/46.82 tff(25607,plain,
% 73.66/46.82 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25606])).
% 73.66/46.82 tff(25608,plain,
% 73.66/46.82 (~v1(constB158)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[4604, 25607])).
% 73.66/46.82 tff(25609,plain,
% 73.66/46.82 ($false),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[24110, 25608])).
% 73.66/46.82 tff(25610,plain,(~(constB158 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.82 tff(25611,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 73.66/46.82 tff(25612,plain,
% 73.66/46.82 (v1(constB126) <=> v1(sK0_VarCurr)),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25611])).
% 73.66/46.82 tff(25613,plain,
% 73.66/46.82 (v1(sK0_VarCurr) <=> v1(constB126)),
% 73.66/46.82 inference(symmetry,[status(thm)],[25612])).
% 73.66/46.82 tff(25614,plain,
% 73.66/46.82 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25613])).
% 73.66/46.82 tff(25615,plain,
% 73.66/46.82 (~v1(constB126)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[4604, 25614])).
% 73.66/46.82 tff(25616,plain,
% 73.66/46.82 ($false),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[20064, 25615])).
% 73.66/46.82 tff(25617,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.82 tff(25618,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 73.66/46.82 tff(25619,plain,
% 73.66/46.82 (v193(constB195) <=> v193(sK0_VarCurr)),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25618])).
% 73.66/46.82 tff(25620,plain,
% 73.66/46.82 (v193(sK0_VarCurr) <=> v193(constB195)),
% 73.66/46.82 inference(symmetry,[status(thm)],[25619])).
% 73.66/46.82 tff(25621,plain,
% 73.66/46.82 (v193(constB195)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[17, 25620])).
% 73.66/46.82 tff(25622,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25623,plain,
% 73.66/46.82 (((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)) <=> ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25624,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)))),
% 73.66/46.82 inference(monotonicity,[status(thm)],[25623])).
% 73.66/46.82 tff(25625,plain,
% 73.66/46.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 73.66/46.82 inference(transitivity,[status(thm)],[25624, 25622])).
% 73.66/46.82 tff(25626,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25627,plain,
% 73.66/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 73.66/46.82 tff(25628,plain,
% 73.66/46.82 (v120(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25627, 1480, 25207, 25100, 25168])).
% 73.66/46.82 tff(25629,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB167) | (~v120(constB167)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB167) | (~v120(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25630,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB167) | (~v120(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25631,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB167) | (~v120(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 73.66/46.82 tff(25632,plain,
% 73.66/46.82 (v118(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25631, 1494, 25628])).
% 73.66/46.82 tff(25633,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25634,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))),
% 73.66/46.82 inference(quant_inst,[status(thm)],[])).
% 73.66/46.82 tff(25635,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167))),
% 73.66/46.82 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 73.66/46.82 tff(25636,plain,
% 73.66/46.82 (v117(constB167)),
% 73.66/46.82 inference(unit_resolution,[status(thm)],[25635, 405, 25632])).
% 73.66/46.82 tff(25637,plain,
% 73.66/46.82 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167)))),
% 73.66/46.82 inference(rewrite,[status(thm)],[])).
% 73.66/46.82 tff(25638,plain,
% 73.66/46.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25639,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25638, 25637])).
% 73.66/46.83 tff(25640,plain,
% 73.66/46.83 (v116(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25639, 416, 25636])).
% 73.66/46.83 tff(25641,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25642,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25643,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 73.66/46.83 tff(25644,plain,
% 73.66/46.83 (v115(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25643, 427, 25640])).
% 73.66/46.83 tff(25645,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25646,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25647,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 73.66/46.83 tff(25648,plain,
% 73.66/46.83 (v114(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25647, 438, 25644])).
% 73.66/46.83 tff(25649,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25650,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25651,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25650, 25649])).
% 73.66/46.83 tff(25652,plain,
% 73.66/46.83 (v113(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25651, 449, 25648])).
% 73.66/46.83 tff(25653,assumption,(~v108(constB167)), introduced(assumption)).
% 73.66/46.83 tff(25654,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25655,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25656,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 73.66/46.83 tff(25657,plain,
% 73.66/46.83 (~v112(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25656, 475, 25653])).
% 73.66/46.83 tff(25658,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25659,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25660,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 73.66/46.83 tff(25661,plain,
% 73.66/46.83 (~v26(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25660, 1807, 25653])).
% 73.66/46.83 tff(25662,assumption,(v113(constB167)), introduced(assumption)).
% 73.66/46.83 tff(25663,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25664,plain,
% 73.66/46.83 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25665,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25664])).
% 73.66/46.83 tff(25666,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25665, 25663])).
% 73.66/46.83 tff(25667,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25668,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25667, 25666])).
% 73.66/46.83 tff(25669,plain,
% 73.66/46.83 (v26(constB167) | v112(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25668, 463, 25662])).
% 73.66/46.83 tff(25670,plain,
% 73.66/46.83 ($false),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25669, 25661, 25657])).
% 73.66/46.83 tff(25671,plain,(v108(constB167) | (~v113(constB167))), inference(lemma,lemma(discharge,[]))).
% 73.66/46.83 tff(25672,plain,
% 73.66/46.83 (v108(constB167)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25671, 25652])).
% 73.66/46.83 tff(25673,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25674,plain,
% 73.66/46.83 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25675,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25674])).
% 73.66/46.83 tff(25676,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25675, 25673])).
% 73.66/46.83 tff(25677,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25678,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 73.66/46.83 tff(25679,plain,
% 73.66/46.83 (v110(constB168) | (~v108(constB167))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25678, 492, 25272])).
% 73.66/46.83 tff(25680,plain,
% 73.66/46.83 (v110(constB168)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25679, 25672])).
% 73.66/46.83 tff(25681,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25682,plain,
% 73.66/46.83 (((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25683,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25682])).
% 73.66/46.83 tff(25684,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25683, 25681])).
% 73.66/46.83 tff(25685,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25686,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25685, 25684])).
% 73.66/46.83 tff(25687,plain,
% 73.66/46.83 (v104(constB168) | v102(constB168)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25686, 524, 25272])).
% 73.66/46.83 tff(25688,plain,
% 73.66/46.83 (v102(constB168)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25687, 25284])).
% 73.66/46.83 tff(25689,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25690,plain,
% 73.66/46.83 (((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))) <=> ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25691,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25690])).
% 73.66/46.83 tff(25692,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25691, 25689])).
% 73.66/46.83 tff(25693,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25694,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 73.66/46.83 tff(25695,plain,
% 73.66/46.83 (v101(constB168) | (~v102(constB168))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25694, 545, 25272, 25295])).
% 73.66/46.83 tff(25696,plain,
% 73.66/46.83 (v101(constB168)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25695, 25688])).
% 73.66/46.83 tff(25697,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25698,plain,
% 73.66/46.83 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25699,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25698])).
% 73.66/46.83 tff(25700,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25699, 25697])).
% 73.66/46.83 tff(25701,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25702,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 73.66/46.83 tff(25703,plain,
% 73.66/46.83 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25702, 563, 25272])).
% 73.66/46.83 tff(25704,plain,
% 73.66/46.83 (v100(constB168) | (~v110(constB168))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25703, 25696])).
% 73.66/46.83 tff(25705,plain,
% 73.66/46.83 (v100(constB168)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25704, 25680])).
% 73.66/46.83 tff(25706,plain,
% 73.66/46.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25707,plain,
% 73.66/46.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25708,plain,
% 73.66/46.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25707, 25706])).
% 73.66/46.83 tff(25709,plain,
% 73.66/46.83 (~v130(constB167, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25708, 1587, 25628])).
% 73.66/46.83 tff(25710,assumption,(v26(constB167)), introduced(assumption)).
% 73.66/46.83 tff(25711,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25712,plain,
% 73.66/46.83 ($false),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25711, 26, 25710])).
% 73.66/46.83 tff(25713,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.83 tff(25714,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25715,plain,
% 73.66/46.83 ((v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2))) <=> ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25716,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25715])).
% 73.66/46.83 tff(25717,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25716, 25714])).
% 73.66/46.83 tff(25718,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25719,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25718, 25717])).
% 73.66/46.83 tff(25720,plain,
% 73.66/46.83 ((~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25719, 1271, 25713])).
% 73.66/46.83 tff(25721,plain,
% 73.66/46.83 (~v127(constB167, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25720, 25709])).
% 73.66/46.83 tff(25722,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25723,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25724,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 73.66/46.83 tff(25725,plain,
% 73.66/46.83 (v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25724, 1289, 25272])).
% 73.66/46.83 tff(25726,plain,
% 73.66/46.83 (~v129(constB168, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25725, 25721])).
% 73.66/46.83 tff(25727,plain,
% 73.66/46.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25728,plain,
% 73.66/46.83 (((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25729,plain,
% 73.66/46.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25728])).
% 73.66/46.83 tff(25730,plain,
% 73.66/46.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25729, 25727])).
% 73.66/46.83 tff(25731,plain,
% 73.66/46.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25732,plain,
% 73.66/46.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25731, 25730])).
% 73.66/46.83 tff(25733,plain,
% 73.66/46.83 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25732, 1304, 25726])).
% 73.66/46.83 tff(25734,plain,
% 73.66/46.83 (~v90(constB168, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25733, 25705])).
% 73.66/46.83 tff(25735,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25736,plain,
% 73.66/46.83 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25737,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25736])).
% 73.66/46.83 tff(25738,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25737, 25735])).
% 73.66/46.83 tff(25739,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25740,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25739, 25738])).
% 73.66/46.83 tff(25741,plain,
% 73.66/46.83 (~v101(constB169)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25740, 288, 25322, 25319])).
% 73.66/46.83 tff(25742,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25743,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25744,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25743, 25742])).
% 73.66/46.83 tff(25745,plain,
% 73.66/46.83 (v101(constB169) | (~v100(constB169))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25744, 305, 25322])).
% 73.66/46.83 tff(25746,plain,
% 73.66/46.83 (~v100(constB169)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25745, 25741])).
% 73.66/46.83 tff(25747,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25748,plain,
% 73.66/46.83 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25749,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25748])).
% 73.66/46.83 tff(25750,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25749, 25747])).
% 73.66/46.83 tff(25751,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25752,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 73.66/46.83 tff(25753,plain,
% 73.66/46.83 (v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25752, 320, 25322])).
% 73.66/46.83 tff(25754,plain,
% 73.66/46.83 (v90(constB168, bitIndex2) | (~v90(constB169, bitIndex2))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25753, 25746])).
% 73.66/46.83 tff(25755,plain,
% 73.66/46.83 (~v90(constB169, bitIndex2)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25754, 25734])).
% 73.66/46.83 tff(25756,plain,
% 73.66/46.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25757,plain,
% 73.66/46.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25758,plain,
% 73.66/46.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1)),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 73.66/46.83 tff(25759,plain,
% 73.66/46.83 (v130(constB167, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25758, 1649, 25628])).
% 73.66/46.83 tff(25760,plain,
% 73.66/46.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25761,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25762,plain,
% 73.66/46.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 73.66/46.83 tff(25763,plain,
% 73.66/46.83 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25762, 990, 25713])).
% 73.66/46.83 tff(25764,plain,
% 73.66/46.83 (v127(constB167, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25763, 25759])).
% 73.66/46.83 tff(25765,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25766,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25767,plain,
% 73.66/46.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25766, 25765])).
% 73.66/46.83 tff(25768,plain,
% 73.66/46.83 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25767, 1005, 25272])).
% 73.66/46.83 tff(25769,plain,
% 73.66/46.83 (v129(constB168, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25768, 25764])).
% 73.66/46.83 tff(25770,plain,
% 73.66/46.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25771,plain,
% 73.66/46.83 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25772,plain,
% 73.66/46.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25771])).
% 73.66/46.83 tff(25773,plain,
% 73.66/46.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.66/46.83 inference(transitivity,[status(thm)],[25772, 25770])).
% 73.66/46.83 tff(25774,plain,
% 73.66/46.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 73.66/46.83 inference(quant_inst,[status(thm)],[])).
% 73.66/46.83 tff(25775,plain,
% 73.66/46.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 73.66/46.83 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 73.66/46.83 tff(25776,plain,
% 73.66/46.83 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25775, 1020, 25769])).
% 73.66/46.83 tff(25777,plain,
% 73.66/46.83 (v90(constB168, bitIndex1)),
% 73.66/46.83 inference(unit_resolution,[status(thm)],[25776, 25705])).
% 73.66/46.83 tff(25778,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25779,plain,
% 73.66/46.83 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.66/46.83 inference(rewrite,[status(thm)],[])).
% 73.66/46.83 tff(25780,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 73.66/46.83 inference(monotonicity,[status(thm)],[25779])).
% 73.66/46.83 tff(25781,plain,
% 73.66/46.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25780, 25778])).
% 73.66/46.84 tff(25782,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25783,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 73.66/46.84 tff(25784,plain,
% 73.66/46.84 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25783, 1038, 25322])).
% 73.66/46.84 tff(25785,plain,
% 73.66/46.84 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25784, 25746])).
% 73.66/46.84 tff(25786,plain,
% 73.66/46.84 (v90(constB169, bitIndex1)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25785, 25777])).
% 73.66/46.84 tff(25787,plain,
% 73.66/46.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25788,plain,
% 73.66/46.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25789,plain,
% 73.66/46.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25788, 25787])).
% 73.66/46.84 tff(25790,plain,
% 73.66/46.84 (~v130(constB167, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25789, 1690, 25628])).
% 73.66/46.84 tff(25791,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25792,plain,
% 73.66/46.84 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25793,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25792])).
% 73.66/46.84 tff(25794,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25793, 25791])).
% 73.66/46.84 tff(25795,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25796,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 73.66/46.84 tff(25797,plain,
% 73.66/46.84 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25796, 769, 25713])).
% 73.66/46.84 tff(25798,plain,
% 73.66/46.84 (~v127(constB167, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25797, 25790])).
% 73.66/46.84 tff(25799,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25800,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25801,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 73.66/46.84 tff(25802,plain,
% 73.66/46.84 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25801, 787, 25272])).
% 73.66/46.84 tff(25803,plain,
% 73.66/46.84 (~v129(constB168, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25802, 25798])).
% 73.66/46.84 tff(25804,plain,
% 73.66/46.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25805,plain,
% 73.66/46.84 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25806,plain,
% 73.66/46.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25805])).
% 73.66/46.84 tff(25807,plain,
% 73.66/46.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25806, 25804])).
% 73.66/46.84 tff(25808,plain,
% 73.66/46.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25809,plain,
% 73.66/46.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 73.66/46.84 tff(25810,plain,
% 73.66/46.84 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25809, 802, 25803])).
% 73.66/46.84 tff(25811,plain,
% 73.66/46.84 (~v90(constB168, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25810, 25705])).
% 73.66/46.84 tff(25812,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25813,plain,
% 73.66/46.84 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25814,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25813])).
% 73.66/46.84 tff(25815,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25814, 25812])).
% 73.66/46.84 tff(25816,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25817,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 73.66/46.84 tff(25818,plain,
% 73.66/46.84 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25817, 362, 25322])).
% 73.66/46.84 tff(25819,plain,
% 73.66/46.84 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25818, 25746])).
% 73.66/46.84 tff(25820,plain,
% 73.66/46.84 (~v90(constB169, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25819, 25811])).
% 73.66/46.84 tff(25821,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25822,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25823,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 73.66/46.84 tff(25824,plain,
% 73.66/46.84 (v121(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25823, 1734, 25820, 25786, 25755])).
% 73.66/46.84 tff(25825,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25826,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25827,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25826, 25825])).
% 73.66/46.84 tff(25828,plain,
% 73.66/46.84 (v117(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25827, 1775, 25824])).
% 73.66/46.84 tff(25829,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25830,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25831,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25830, 25829])).
% 73.66/46.84 tff(25832,plain,
% 73.66/46.84 (v116(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25831, 416, 25828])).
% 73.66/46.84 tff(25833,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25834,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25835,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25834, 25833])).
% 73.66/46.84 tff(25836,plain,
% 73.66/46.84 (v115(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25835, 427, 25832])).
% 73.66/46.84 tff(25837,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25838,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25839,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25838, 25837])).
% 73.66/46.84 tff(25840,plain,
% 73.66/46.84 (v114(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25839, 438, 25836])).
% 73.66/46.84 tff(25841,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25842,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25843,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25842, 25841])).
% 73.66/46.84 tff(25844,plain,
% 73.66/46.84 (v113(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25843, 449, 25840])).
% 73.66/46.84 tff(25845,assumption,(v26(constB169)), introduced(assumption)).
% 73.66/46.84 tff(25846,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25847,plain,
% 73.66/46.84 ($false),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25846, 26, 25845])).
% 73.66/46.84 tff(25848,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.84 tff(25849,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25850,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25851,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25850, 25849])).
% 73.66/46.84 tff(25852,plain,
% 73.66/46.84 ((~v113(constB169)) | v112(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25851, 463, 25848])).
% 73.66/46.84 tff(25853,plain,
% 73.66/46.84 (v112(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25852, 25844])).
% 73.66/46.84 tff(25854,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25855,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25856,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25855, 25854])).
% 73.66/46.84 tff(25857,plain,
% 73.66/46.84 (v108(constB169)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25856, 475, 25853])).
% 73.66/46.84 tff(25858,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25859,plain,
% 73.66/46.84 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25860,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25859])).
% 73.66/46.84 tff(25861,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25860, 25858])).
% 73.66/46.84 tff(25862,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25863,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 73.66/46.84 tff(25864,plain,
% 73.66/46.84 (v110(constB170) | (~v108(constB169))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25863, 492, 25557])).
% 73.66/46.84 tff(25865,plain,
% 73.66/46.84 (v110(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25864, 25857])).
% 73.66/46.84 tff(25866,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25867,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25868,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 73.66/46.84 tff(25869,plain,
% 73.66/46.84 (~v104(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25868, 510, 25557, 25319])).
% 73.66/46.84 tff(25870,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25871,plain,
% 73.66/46.84 (((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25872,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25871])).
% 73.66/46.84 tff(25873,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25872, 25870])).
% 73.66/46.84 tff(25874,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25875,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 73.66/46.84 tff(25876,plain,
% 73.66/46.84 (v104(constB170) | v102(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25875, 524, 25557])).
% 73.66/46.84 tff(25877,plain,
% 73.66/46.84 (v102(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25876, 25869])).
% 73.66/46.84 tff(25878,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25879,plain,
% 73.66/46.84 (((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))) <=> ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25880,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25879])).
% 73.66/46.84 tff(25881,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25880, 25878])).
% 73.66/46.84 tff(25882,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25883,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25882, 25881])).
% 73.66/46.84 tff(25884,plain,
% 73.66/46.84 (v101(constB170) | (~v102(constB170))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25883, 545, 25557, 25569])).
% 73.66/46.84 tff(25885,plain,
% 73.66/46.84 (v101(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25884, 25877])).
% 73.66/46.84 tff(25886,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25887,plain,
% 73.66/46.84 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25888,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25887])).
% 73.66/46.84 tff(25889,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25888, 25886])).
% 73.66/46.84 tff(25890,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25891,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25890, 25889])).
% 73.66/46.84 tff(25892,plain,
% 73.66/46.84 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25891, 563, 25557])).
% 73.66/46.84 tff(25893,plain,
% 73.66/46.84 (v100(constB170) | (~v110(constB170))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25892, 25885])).
% 73.66/46.84 tff(25894,plain,
% 73.66/46.84 (v100(constB170)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25893, 25865])).
% 73.66/46.84 tff(25895,plain,
% 73.66/46.84 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25896,plain,
% 73.66/46.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25897,plain,
% 73.66/46.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 73.66/46.84 tff(25898,plain,
% 73.66/46.84 (v130(constB169, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25897, 1945, 25824])).
% 73.66/46.84 tff(25899,plain,
% 73.66/46.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25900,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25901,plain,
% 73.66/46.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 73.66/46.84 tff(25902,plain,
% 73.66/46.84 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25901, 1413, 25848])).
% 73.66/46.84 tff(25903,plain,
% 73.66/46.84 (v127(constB169, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25902, 25898])).
% 73.66/46.84 tff(25904,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25905,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25906,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25905, 25904])).
% 73.66/46.84 tff(25907,plain,
% 73.66/46.84 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25906, 1428, 25557])).
% 73.66/46.84 tff(25908,plain,
% 73.66/46.84 (v129(constB170, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25907, 25903])).
% 73.66/46.84 tff(25909,plain,
% 73.66/46.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25910,plain,
% 73.66/46.84 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25911,plain,
% 73.66/46.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25910])).
% 73.66/46.84 tff(25912,plain,
% 73.66/46.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25911, 25909])).
% 73.66/46.84 tff(25913,plain,
% 73.66/46.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25914,plain,
% 73.66/46.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25913, 25912])).
% 73.66/46.84 tff(25915,plain,
% 73.66/46.84 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25914, 1443, 25908])).
% 73.66/46.84 tff(25916,plain,
% 73.66/46.84 (v90(constB170, bitIndex0)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25915, 25894])).
% 73.66/46.84 tff(25917,plain,
% 73.66/46.84 ((~v1(constB171)) <=> (~v1(constB171))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25918,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 73.66/46.84 tff(25919,plain,
% 73.66/46.84 (~v1(constB171)),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 73.66/46.84 tff(25920,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25921,plain,
% 73.66/46.84 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25922,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25921])).
% 73.66/46.84 tff(25923,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25922, 25920])).
% 73.66/46.84 tff(25924,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25925,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 73.66/46.84 tff(25926,plain,
% 73.66/46.84 (~v101(constB171)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25925, 288, 25589, 25919])).
% 73.66/46.84 tff(25927,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25928,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25929,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 73.66/46.84 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 73.66/46.84 tff(25930,plain,
% 73.66/46.84 (v101(constB171) | (~v100(constB171))),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25929, 305, 25589])).
% 73.66/46.84 tff(25931,plain,
% 73.66/46.84 (~v100(constB171)),
% 73.66/46.84 inference(unit_resolution,[status(thm)],[25930, 25926])).
% 73.66/46.84 tff(25932,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25933,plain,
% 73.66/46.84 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.66/46.84 inference(rewrite,[status(thm)],[])).
% 73.66/46.84 tff(25934,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 73.66/46.84 inference(monotonicity,[status(thm)],[25933])).
% 73.66/46.84 tff(25935,plain,
% 73.66/46.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.66/46.84 inference(transitivity,[status(thm)],[25934, 25932])).
% 73.66/46.84 tff(25936,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.66/46.84 inference(quant_inst,[status(thm)],[])).
% 73.66/46.84 tff(25937,plain,
% 73.66/46.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 73.66/46.85 tff(25938,plain,
% 73.66/46.85 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25937, 1461, 25589])).
% 73.66/46.85 tff(25939,plain,
% 73.66/46.85 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25938, 25931])).
% 73.66/46.85 tff(25940,plain,
% 73.66/46.85 (v90(constB171, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25939, 25916])).
% 73.66/46.85 tff(25941,plain,
% 73.66/46.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25942,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(25943,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 73.66/46.85 tff(25944,plain,
% 73.66/46.85 (~v130(constB169, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25943, 1748, 25824])).
% 73.66/46.85 tff(25945,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25946,plain,
% 73.66/46.85 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25947,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[25946])).
% 73.66/46.85 tff(25948,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.66/46.85 inference(transitivity,[status(thm)],[25947, 25945])).
% 73.66/46.85 tff(25949,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(25950,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 73.66/46.85 tff(25951,plain,
% 73.66/46.85 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25950, 1271, 25848])).
% 73.66/46.85 tff(25952,plain,
% 73.66/46.85 (~v127(constB169, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25951, 25944])).
% 73.66/46.85 tff(25953,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25954,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(25955,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25954, 25953])).
% 73.66/46.85 tff(25956,plain,
% 73.66/46.85 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25955, 1289, 25557])).
% 73.66/46.85 tff(25957,plain,
% 73.66/46.85 (~v129(constB170, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25956, 25952])).
% 73.66/46.85 tff(25958,plain,
% 73.66/46.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25959,plain,
% 73.66/46.85 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25960,plain,
% 73.66/46.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[25959])).
% 73.66/46.85 tff(25961,plain,
% 73.66/46.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.66/46.85 inference(transitivity,[status(thm)],[25960, 25958])).
% 73.66/46.85 tff(25962,plain,
% 73.66/46.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(25963,plain,
% 73.66/46.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 73.66/46.85 tff(25964,plain,
% 73.66/46.85 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25963, 1304, 25957])).
% 73.66/46.85 tff(25965,plain,
% 73.66/46.85 (~v90(constB170, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25964, 25894])).
% 73.66/46.85 tff(25966,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25967,plain,
% 73.66/46.85 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(25968,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[25967])).
% 73.66/46.85 tff(25969,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.66/46.85 inference(transitivity,[status(thm)],[25968, 25966])).
% 73.66/46.85 tff(25970,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(25971,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 73.66/46.85 tff(25972,plain,
% 73.66/46.85 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25971, 320, 25589])).
% 73.66/46.85 tff(25973,plain,
% 73.66/46.85 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25972, 25931])).
% 73.66/46.85 tff(25974,plain,
% 73.66/46.85 (~v90(constB171, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25973, 25965])).
% 73.66/46.85 tff(25975,assumption,(v120(constB167)), introduced(assumption)).
% 73.66/46.85 tff(25976,plain,
% 73.66/46.85 (v118(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25631, 1494, 25975])).
% 73.66/46.85 tff(25977,plain,
% 73.66/46.85 (v117(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25635, 405, 25976])).
% 73.66/46.85 tff(25978,plain,
% 73.66/46.85 (v116(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25639, 416, 25977])).
% 73.66/46.85 tff(25979,plain,
% 73.66/46.85 (v115(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25643, 427, 25978])).
% 73.66/46.85 tff(25980,plain,
% 73.66/46.85 (v114(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25647, 438, 25979])).
% 73.66/46.85 tff(25981,plain,
% 73.66/46.85 (v113(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25651, 449, 25980])).
% 73.66/46.85 tff(25982,plain,
% 73.66/46.85 (v108(constB167)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25671, 25981])).
% 73.66/46.85 tff(25983,plain,
% 73.66/46.85 (v110(constB168)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25679, 25982])).
% 73.66/46.85 tff(25984,plain,
% 73.66/46.85 (v100(constB168)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25704, 25983])).
% 73.66/46.85 tff(25985,plain,
% 73.66/46.85 (~v130(constB167, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25708, 1587, 25975])).
% 73.66/46.85 tff(25986,plain,
% 73.66/46.85 (~v127(constB167, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25720, 25985])).
% 73.66/46.85 tff(25987,plain,
% 73.66/46.85 (~v129(constB168, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25725, 25986])).
% 73.66/46.85 tff(25988,plain,
% 73.66/46.85 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25732, 1304, 25987])).
% 73.66/46.85 tff(25989,plain,
% 73.66/46.85 (~v90(constB168, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25988, 25984])).
% 73.66/46.85 tff(25990,plain,
% 73.66/46.85 (~v90(constB169, bitIndex2)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25754, 25989])).
% 73.66/46.85 tff(25991,plain,
% 73.66/46.85 (v130(constB167, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25758, 1649, 25975])).
% 73.66/46.85 tff(25992,plain,
% 73.66/46.85 (v127(constB167, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25763, 25991])).
% 73.66/46.85 tff(25993,plain,
% 73.66/46.85 (v129(constB168, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25768, 25992])).
% 73.66/46.85 tff(25994,plain,
% 73.66/46.85 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25775, 1020, 25993])).
% 73.66/46.85 tff(25995,plain,
% 73.66/46.85 (v90(constB168, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25994, 25984])).
% 73.66/46.85 tff(25996,plain,
% 73.66/46.85 (v90(constB169, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25785, 25995])).
% 73.66/46.85 tff(25997,plain,
% 73.66/46.85 (~v130(constB167, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25789, 1690, 25975])).
% 73.66/46.85 tff(25998,plain,
% 73.66/46.85 (~v127(constB167, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25797, 25997])).
% 73.66/46.85 tff(25999,plain,
% 73.66/46.85 (~v129(constB168, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25802, 25998])).
% 73.66/46.85 tff(26000,plain,
% 73.66/46.85 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25809, 802, 25999])).
% 73.66/46.85 tff(26001,plain,
% 73.66/46.85 (~v90(constB168, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26000, 25984])).
% 73.66/46.85 tff(26002,plain,
% 73.66/46.85 (~v90(constB169, bitIndex0)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25819, 26001])).
% 73.66/46.85 tff(26003,plain,
% 73.66/46.85 (v121(constB169)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[25823, 1734, 26002, 25996, 25990])).
% 73.66/46.85 tff(26004,assumption,(~v90(constB170, bitIndex1)), introduced(assumption)).
% 73.66/46.85 tff(26005,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26006,plain,
% 73.66/46.85 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1)) <=> ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26007,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1)))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[26006])).
% 73.66/46.85 tff(26008,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 73.66/46.85 inference(transitivity,[status(thm)],[26007, 26005])).
% 73.66/46.85 tff(26009,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26010,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26009, 26008])).
% 73.66/46.85 tff(26011,plain,
% 73.66/46.85 ((~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26010, 1038, 25557])).
% 73.66/46.85 tff(26012,plain,
% 73.66/46.85 (v100(constB170)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26011, 25996, 26004])).
% 73.66/46.85 tff(26013,plain,
% 73.66/46.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26014,plain,
% 73.66/46.85 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26015,plain,
% 73.66/46.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[26014])).
% 73.66/46.85 tff(26016,plain,
% 73.66/46.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.66/46.85 inference(transitivity,[status(thm)],[26015, 26013])).
% 73.66/46.85 tff(26017,plain,
% 73.66/46.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26018,plain,
% 73.66/46.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 73.66/46.85 tff(26019,plain,
% 73.66/46.85 ((~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26018, 1020, 26004])).
% 73.66/46.85 tff(26020,plain,
% 73.66/46.85 (~v129(constB170, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26019, 26012])).
% 73.66/46.85 tff(26021,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26022,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26023,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26022, 26021])).
% 73.66/46.85 tff(26024,plain,
% 73.66/46.85 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26023, 1005, 25557])).
% 73.66/46.85 tff(26025,plain,
% 73.66/46.85 (~v127(constB169, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26024, 26020])).
% 73.66/46.85 tff(26026,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26027,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26028,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26027, 26026])).
% 73.66/46.85 tff(26029,plain,
% 73.66/46.85 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26028, 990, 25848])).
% 73.66/46.85 tff(26030,plain,
% 73.66/46.85 (~v130(constB169, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26029, 26025])).
% 73.66/46.85 tff(26031,plain,
% 73.66/46.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26032,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26033,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26032, 26031])).
% 73.66/46.85 tff(26034,plain,
% 73.66/46.85 ($false),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26033, 1904, 26030, 26003])).
% 73.66/46.85 tff(26035,plain,((~v120(constB167)) | v90(constB170, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.85 tff(26036,plain,
% 73.66/46.85 (v90(constB170, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26035, 25628])).
% 73.66/46.85 tff(26037,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26038,plain,
% 73.66/46.85 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26039,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[26038])).
% 73.66/46.85 tff(26040,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.66/46.85 inference(transitivity,[status(thm)],[26039, 26037])).
% 73.66/46.85 tff(26041,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26042,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 73.66/46.85 tff(26043,plain,
% 73.66/46.85 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26042, 1038, 25589])).
% 73.66/46.85 tff(26044,plain,
% 73.66/46.85 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26043, 25931])).
% 73.66/46.85 tff(26045,plain,
% 73.66/46.85 (v90(constB171, bitIndex1)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26044, 26036])).
% 73.66/46.85 tff(26046,plain,
% 73.66/46.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26047,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26048,plain,
% 73.66/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26047, 26046])).
% 73.66/46.85 tff(26049,plain,
% 73.66/46.85 ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex2) | v122(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26048, 1986, 26045])).
% 73.66/46.85 tff(26050,plain,
% 73.66/46.85 (v122(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26049, 25974, 25940])).
% 73.66/46.85 tff(26051,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26052,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26053,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 73.66/46.85 tff(26054,plain,
% 73.66/46.85 (v116(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26053, 1997, 26050])).
% 73.66/46.85 tff(26055,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26056,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26057,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 73.66/46.85 tff(26058,plain,
% 73.66/46.85 (v115(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26057, 427, 26054])).
% 73.66/46.85 tff(26059,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26060,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26061,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 73.66/46.85 tff(26062,plain,
% 73.66/46.85 (v114(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26061, 438, 26058])).
% 73.66/46.85 tff(26063,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26064,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26065,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26064, 26063])).
% 73.66/46.85 tff(26066,plain,
% 73.66/46.85 (v113(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26065, 449, 26062])).
% 73.66/46.85 tff(26067,assumption,(v26(constB171)), introduced(assumption)).
% 73.66/46.85 tff(26068,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26069,plain,
% 73.66/46.85 ($false),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26068, 26, 26067])).
% 73.66/46.85 tff(26070,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 73.66/46.85 tff(26071,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26072,plain,
% 73.66/46.85 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26073,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[26072])).
% 73.66/46.85 tff(26074,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.66/46.85 inference(transitivity,[status(thm)],[26073, 26071])).
% 73.66/46.85 tff(26075,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26076,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 73.66/46.85 tff(26077,plain,
% 73.66/46.85 (v112(constB171) | (~v113(constB171))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26076, 463, 26070])).
% 73.66/46.85 tff(26078,plain,
% 73.66/46.85 (v112(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26077, 26066])).
% 73.66/46.85 tff(26079,plain,
% 73.66/46.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26080,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26081,plain,
% 73.66/46.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 73.66/46.85 tff(26082,plain,
% 73.66/46.85 (v108(constB171)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26081, 475, 26078])).
% 73.66/46.85 tff(26083,plain,
% 73.66/46.85 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26084,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 73.66/46.85 tff(26085,plain,
% 73.66/46.85 (nextState(constB171, constB172)),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 73.66/46.85 tff(26086,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26087,plain,
% 73.66/46.85 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26088,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 73.66/46.85 inference(monotonicity,[status(thm)],[26087])).
% 73.66/46.85 tff(26089,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.66/46.85 inference(transitivity,[status(thm)],[26088, 26086])).
% 73.66/46.85 tff(26090,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26091,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 73.66/46.85 tff(26092,plain,
% 73.66/46.85 (v110(constB172) | (~v108(constB171))),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26091, 492, 26085])).
% 73.66/46.85 tff(26093,plain,
% 73.66/46.85 (v110(constB172)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26092, 26082])).
% 73.66/46.85 tff(26094,plain,
% 73.66/46.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 73.66/46.85 inference(rewrite,[status(thm)],[])).
% 73.66/46.85 tff(26095,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 73.66/46.85 inference(quant_inst,[status(thm)],[])).
% 73.66/46.85 tff(26096,plain,
% 73.66/46.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 73.66/46.85 inference(modus_ponens,[status(thm)],[26095, 26094])).
% 73.66/46.85 tff(26097,plain,
% 73.66/46.85 (~v104(constB172)),
% 73.66/46.85 inference(unit_resolution,[status(thm)],[26096, 510, 26085, 25919])).
% 73.66/46.86 tff(26098,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26099,plain,
% 73.66/46.86 (((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26100,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26099])).
% 73.66/46.86 tff(26101,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26100, 26098])).
% 73.66/46.86 tff(26102,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26103,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 73.66/46.86 tff(26104,plain,
% 73.66/46.86 (v104(constB172) | v102(constB172)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26103, 524, 26085])).
% 73.66/46.86 tff(26105,plain,
% 73.66/46.86 (v102(constB172)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26104, 26097])).
% 73.66/46.86 tff(26106,plain,
% 73.66/46.86 (v1(constB172) <=> v1(constB172)),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26107,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 73.66/46.86 tff(26108,plain,
% 73.66/46.86 (v1(constB172)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 73.66/46.86 tff(26109,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26110,plain,
% 73.66/46.86 (((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))) <=> ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26111,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26110])).
% 73.66/46.86 tff(26112,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26111, 26109])).
% 73.66/46.86 tff(26113,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26114,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26113, 26112])).
% 73.66/46.86 tff(26115,plain,
% 73.66/46.86 (v101(constB172) | (~v102(constB172))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26114, 545, 26085, 26108])).
% 73.66/46.86 tff(26116,plain,
% 73.66/46.86 (v101(constB172)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26115, 26105])).
% 73.66/46.86 tff(26117,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26118,plain,
% 73.66/46.86 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26119,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26118])).
% 73.66/46.86 tff(26120,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26119, 26117])).
% 73.66/46.86 tff(26121,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26122,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 73.66/46.86 tff(26123,plain,
% 73.66/46.86 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26122, 563, 26085])).
% 73.66/46.86 tff(26124,plain,
% 73.66/46.86 (v100(constB172) | (~v110(constB172))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26123, 26116])).
% 73.66/46.86 tff(26125,plain,
% 73.66/46.86 (v100(constB172)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26124, 26093])).
% 73.66/46.86 tff(26126,plain,
% 73.66/46.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26127,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26128,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 73.66/46.86 tff(26129,plain,
% 73.66/46.86 (v130(constB171, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26128, 2079, 26050])).
% 73.66/46.86 tff(26130,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26131,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26132,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 73.66/46.86 tff(26133,plain,
% 73.66/46.86 ((~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26132, 596, 26070])).
% 73.66/46.86 tff(26134,plain,
% 73.66/46.86 (v127(constB171, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26133, 26129])).
% 73.66/46.86 tff(26135,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26136,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26137,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 73.66/46.86 tff(26138,plain,
% 73.66/46.86 ((~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26137, 611, 26085])).
% 73.66/46.86 tff(26139,plain,
% 73.66/46.86 (v129(constB172, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26138, 26134])).
% 73.66/46.86 tff(26140,plain,
% 73.66/46.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26141,plain,
% 73.66/46.86 ((v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26142,plain,
% 73.66/46.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26141])).
% 73.66/46.86 tff(26143,plain,
% 73.66/46.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26142, 26140])).
% 73.66/46.86 tff(26144,plain,
% 73.66/46.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26145,plain,
% 73.66/46.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 73.66/46.86 tff(26146,plain,
% 73.66/46.86 (v90(constB172, bitIndex2) | (~v100(constB172))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26145, 626, 26139])).
% 73.66/46.86 tff(26147,plain,
% 73.66/46.86 (v90(constB172, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26146, 26125])).
% 73.66/46.86 tff(26148,plain,
% 73.66/46.86 ((~v1(constB173)) <=> (~v1(constB173))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26149,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 73.66/46.86 tff(26150,plain,
% 73.66/46.86 (~v1(constB173)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26149, 26148])).
% 73.66/46.86 tff(26151,plain,
% 73.66/46.86 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26152,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 73.66/46.86 tff(26153,plain,
% 73.66/46.86 (nextState(constB172, constB173)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26152, 26151])).
% 73.66/46.86 tff(26154,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26155,plain,
% 73.66/46.86 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26156,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26155])).
% 73.66/46.86 tff(26157,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26156, 26154])).
% 73.66/46.86 tff(26158,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26159,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26158, 26157])).
% 73.66/46.86 tff(26160,plain,
% 73.66/46.86 (~v101(constB173)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26159, 288, 26153, 26150])).
% 73.66/46.86 tff(26161,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26162,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26163,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26162, 26161])).
% 73.66/46.86 tff(26164,plain,
% 73.66/46.86 (v101(constB173) | (~v100(constB173))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26163, 305, 26153])).
% 73.66/46.86 tff(26165,plain,
% 73.66/46.86 (~v100(constB173)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26164, 26160])).
% 73.66/46.86 tff(26166,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26167,plain,
% 73.66/46.86 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26168,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26167])).
% 73.66/46.86 tff(26169,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26168, 26166])).
% 73.66/46.86 tff(26170,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26171,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26170, 26169])).
% 73.66/46.86 tff(26172,plain,
% 73.66/46.86 ((~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26171, 662, 26153])).
% 73.66/46.86 tff(26173,plain,
% 73.66/46.86 ((~v90(constB172, bitIndex2)) | v90(constB173, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26172, 26165])).
% 73.66/46.86 tff(26174,plain,
% 73.66/46.86 (v90(constB173, bitIndex2)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26173, 26147])).
% 73.66/46.86 tff(26175,plain,
% 73.66/46.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26176,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26177,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 73.66/46.86 tff(26178,plain,
% 73.66/46.86 (~v130(constB171, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26177, 2138, 26050])).
% 73.66/46.86 tff(26179,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26180,plain,
% 73.66/46.86 ((v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1))) <=> ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26181,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26180])).
% 73.66/46.86 tff(26182,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26181, 26179])).
% 73.66/46.86 tff(26183,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26184,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26183, 26182])).
% 73.66/46.86 tff(26185,plain,
% 73.66/46.86 ((~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26184, 695, 26070])).
% 73.66/46.86 tff(26186,plain,
% 73.66/46.86 (~v127(constB171, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26185, 26178])).
% 73.66/46.86 tff(26187,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26188,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26189,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26188, 26187])).
% 73.66/46.86 tff(26190,plain,
% 73.66/46.86 (v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26189, 713, 26085])).
% 73.66/46.86 tff(26191,plain,
% 73.66/46.86 (~v129(constB172, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26190, 26186])).
% 73.66/46.86 tff(26192,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26193,plain,
% 73.66/46.86 (((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26194,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26193])).
% 73.66/46.86 tff(26195,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26194, 26192])).
% 73.66/46.86 tff(26196,plain,
% 73.66/46.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26197,plain,
% 73.66/46.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26196, 26195])).
% 73.66/46.86 tff(26198,plain,
% 73.66/46.86 ((~v90(constB172, bitIndex1)) | (~v100(constB172))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26197, 728, 26191])).
% 73.66/46.86 tff(26199,plain,
% 73.66/46.86 (~v90(constB172, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26198, 26125])).
% 73.66/46.86 tff(26200,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26201,plain,
% 73.66/46.86 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26202,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26201])).
% 73.66/46.86 tff(26203,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26202, 26200])).
% 73.66/46.86 tff(26204,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26205,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26204, 26203])).
% 73.66/46.86 tff(26206,plain,
% 73.66/46.86 (v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26205, 341, 26153])).
% 73.66/46.86 tff(26207,plain,
% 73.66/46.86 (v90(constB172, bitIndex1) | (~v90(constB173, bitIndex1))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26206, 26165])).
% 73.66/46.86 tff(26208,plain,
% 73.66/46.86 (~v90(constB173, bitIndex1)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26207, 26199])).
% 73.66/46.86 tff(26209,plain,
% 73.66/46.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26210,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26211,plain,
% 73.66/46.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 73.66/46.86 tff(26212,plain,
% 73.66/46.86 (~v130(constB171, bitIndex0)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26211, 2182, 26050])).
% 73.66/46.86 tff(26213,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26214,plain,
% 73.66/46.86 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26215,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26214])).
% 73.66/46.86 tff(26216,plain,
% 73.66/46.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26215, 26213])).
% 73.66/46.86 tff(26217,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26218,plain,
% 73.66/46.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 73.66/46.86 tff(26219,plain,
% 73.66/46.86 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26218, 769, 26070])).
% 73.66/46.86 tff(26220,plain,
% 73.66/46.86 (~v127(constB171, bitIndex0)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26219, 26212])).
% 73.66/46.86 tff(26221,plain,
% 73.66/46.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26222,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 73.66/46.86 inference(quant_inst,[status(thm)],[])).
% 73.66/46.86 tff(26223,plain,
% 73.66/46.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 73.66/46.86 inference(modus_ponens,[status(thm)],[26222, 26221])).
% 73.66/46.86 tff(26224,plain,
% 73.66/46.86 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26223, 787, 26085])).
% 73.66/46.86 tff(26225,plain,
% 73.66/46.86 (~v129(constB172, bitIndex0)),
% 73.66/46.86 inference(unit_resolution,[status(thm)],[26224, 26220])).
% 73.66/46.86 tff(26226,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26227,plain,
% 73.66/46.86 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.66/46.86 inference(rewrite,[status(thm)],[])).
% 73.66/46.86 tff(26228,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 73.66/46.86 inference(monotonicity,[status(thm)],[26227])).
% 73.66/46.86 tff(26229,plain,
% 73.66/46.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.66/46.86 inference(transitivity,[status(thm)],[26228, 26226])).
% 73.66/46.86 tff(26230,plain,
% 73.66/46.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26231,plain,
% 73.71/46.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 73.71/46.87 tff(26232,plain,
% 73.71/46.87 ((~v90(constB172, bitIndex0)) | (~v100(constB172))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26231, 802, 26225])).
% 73.71/46.87 tff(26233,plain,
% 73.71/46.87 (~v90(constB172, bitIndex0)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26232, 26125])).
% 73.71/46.87 tff(26234,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26235,plain,
% 73.71/46.87 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26236,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26235])).
% 73.71/46.87 tff(26237,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26236, 26234])).
% 73.71/46.87 tff(26238,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26239,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 73.71/46.87 tff(26240,plain,
% 73.71/46.87 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26239, 362, 26153])).
% 73.71/46.87 tff(26241,plain,
% 73.71/46.87 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26240, 26165])).
% 73.71/46.87 tff(26242,plain,
% 73.71/46.87 (~v90(constB173, bitIndex0)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26241, 26233])).
% 73.71/46.87 tff(26243,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26244,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26245,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 73.71/46.87 tff(26246,plain,
% 73.71/46.87 (v123(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26245, 829, 26242, 26208, 26174])).
% 73.71/46.87 tff(26247,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB173) | (~v123(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB173) | (~v123(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26248,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB173) | (~v123(constB173)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26249,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB173) | (~v123(constB173))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 73.71/46.87 tff(26250,plain,
% 73.71/46.87 (v115(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26249, 840, 26246])).
% 73.71/46.87 tff(26251,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26252,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26253,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 73.71/46.87 tff(26254,plain,
% 73.71/46.87 (v114(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26253, 438, 26250])).
% 73.71/46.87 tff(26255,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26256,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26257,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 73.71/46.87 tff(26258,plain,
% 73.71/46.87 (v113(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26257, 449, 26254])).
% 73.71/46.87 tff(26259,assumption,(v26(constB173)), introduced(assumption)).
% 73.71/46.87 tff(26260,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26261,plain,
% 73.71/46.87 ($false),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26260, 26, 26259])).
% 73.71/46.87 tff(26262,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.87 tff(26263,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26264,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26265,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26264, 26263])).
% 73.71/46.87 tff(26266,plain,
% 73.71/46.87 ((~v113(constB173)) | v112(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26265, 463, 26262])).
% 73.71/46.87 tff(26267,plain,
% 73.71/46.87 (v112(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26266, 26258])).
% 73.71/46.87 tff(26268,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26269,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26270,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 73.71/46.87 tff(26271,plain,
% 73.71/46.87 (v108(constB173)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26270, 475, 26267])).
% 73.71/46.87 tff(26272,plain,
% 73.71/46.87 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26273,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 73.71/46.87 tff(26274,plain,
% 73.71/46.87 (nextState(constB173, constB174)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 73.71/46.87 tff(26275,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26276,plain,
% 73.71/46.87 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26277,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26276])).
% 73.71/46.87 tff(26278,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26277, 26275])).
% 73.71/46.87 tff(26279,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26280,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 73.71/46.87 tff(26281,plain,
% 73.71/46.87 (v110(constB174) | (~v108(constB173))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26280, 492, 26274])).
% 73.71/46.87 tff(26282,plain,
% 73.71/46.87 (v110(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26281, 26271])).
% 73.71/46.87 tff(26283,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26284,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26285,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26284, 26283])).
% 73.71/46.87 tff(26286,plain,
% 73.71/46.87 (~v104(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26285, 510, 26274, 26150])).
% 73.71/46.87 tff(26287,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26288,plain,
% 73.71/46.87 (((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26289,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26288])).
% 73.71/46.87 tff(26290,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26289, 26287])).
% 73.71/46.87 tff(26291,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26292,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 73.71/46.87 tff(26293,plain,
% 73.71/46.87 (v104(constB174) | v102(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26292, 524, 26274])).
% 73.71/46.87 tff(26294,plain,
% 73.71/46.87 (v102(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26293, 26286])).
% 73.71/46.87 tff(26295,plain,
% 73.71/46.87 (v1(constB174) <=> v1(constB174)),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26296,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 73.71/46.87 tff(26297,plain,
% 73.71/46.87 (v1(constB174)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26296, 26295])).
% 73.71/46.87 tff(26298,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26299,plain,
% 73.71/46.87 (((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))) <=> ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26300,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26299])).
% 73.71/46.87 tff(26301,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26300, 26298])).
% 73.71/46.87 tff(26302,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26303,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 73.71/46.87 tff(26304,plain,
% 73.71/46.87 (v101(constB174) | (~v102(constB174))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26303, 545, 26274, 26297])).
% 73.71/46.87 tff(26305,plain,
% 73.71/46.87 (v101(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26304, 26294])).
% 73.71/46.87 tff(26306,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26307,plain,
% 73.71/46.87 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26308,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26307])).
% 73.71/46.87 tff(26309,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26308, 26306])).
% 73.71/46.87 tff(26310,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26311,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 73.71/46.87 tff(26312,plain,
% 73.71/46.87 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26311, 563, 26274])).
% 73.71/46.87 tff(26313,plain,
% 73.71/46.87 (v100(constB174) | (~v110(constB174))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26312, 26305])).
% 73.71/46.87 tff(26314,plain,
% 73.71/46.87 (v100(constB174)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26313, 26282])).
% 73.71/46.87 tff(26315,plain,
% 73.71/46.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26316,plain,
% 73.71/46.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26317,plain,
% 73.71/46.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26316, 26315])).
% 73.71/46.87 tff(26318,plain,
% 73.71/46.87 (v130(constB173, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26317, 917, 26246])).
% 73.71/46.87 tff(26319,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26320,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26321,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26320, 26319])).
% 73.71/46.87 tff(26322,plain,
% 73.71/46.87 ((~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26321, 596, 26262])).
% 73.71/46.87 tff(26323,plain,
% 73.71/46.87 (v127(constB173, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26322, 26318])).
% 73.71/46.87 tff(26324,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26325,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26326,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26325, 26324])).
% 73.71/46.87 tff(26327,plain,
% 73.71/46.87 ((~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26326, 611, 26274])).
% 73.71/46.87 tff(26328,plain,
% 73.71/46.87 (v129(constB174, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26327, 26323])).
% 73.71/46.87 tff(26329,plain,
% 73.71/46.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26330,plain,
% 73.71/46.87 ((v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26331,plain,
% 73.71/46.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26330])).
% 73.71/46.87 tff(26332,plain,
% 73.71/46.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26331, 26329])).
% 73.71/46.87 tff(26333,plain,
% 73.71/46.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26334,plain,
% 73.71/46.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26333, 26332])).
% 73.71/46.87 tff(26335,plain,
% 73.71/46.87 (v90(constB174, bitIndex2) | (~v100(constB174))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26334, 626, 26328])).
% 73.71/46.87 tff(26336,plain,
% 73.71/46.87 (v90(constB174, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26335, 26314])).
% 73.71/46.87 tff(26337,plain,
% 73.71/46.87 ((~v1(constB175)) <=> (~v1(constB175))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26338,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 73.71/46.87 tff(26339,plain,
% 73.71/46.87 (~v1(constB175)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 73.71/46.87 tff(26340,plain,
% 73.71/46.87 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26341,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 73.71/46.87 tff(26342,plain,
% 73.71/46.87 (nextState(constB174, constB175)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 73.71/46.87 tff(26343,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26344,plain,
% 73.71/46.87 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26345,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26344])).
% 73.71/46.87 tff(26346,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26345, 26343])).
% 73.71/46.87 tff(26347,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26348,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26347, 26346])).
% 73.71/46.87 tff(26349,plain,
% 73.71/46.87 (~v101(constB175)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26348, 288, 26342, 26339])).
% 73.71/46.87 tff(26350,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26351,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26352,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26351, 26350])).
% 73.71/46.87 tff(26353,plain,
% 73.71/46.87 (v101(constB175) | (~v100(constB175))),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26352, 305, 26342])).
% 73.71/46.87 tff(26354,plain,
% 73.71/46.87 (~v100(constB175)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26353, 26349])).
% 73.71/46.87 tff(26355,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26356,plain,
% 73.71/46.87 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26357,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)))),
% 73.71/46.87 inference(monotonicity,[status(thm)],[26356])).
% 73.71/46.87 tff(26358,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 73.71/46.87 inference(transitivity,[status(thm)],[26357, 26355])).
% 73.71/46.87 tff(26359,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26360,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26359, 26358])).
% 73.71/46.87 tff(26361,plain,
% 73.71/46.87 ((~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26360, 662, 26342])).
% 73.71/46.87 tff(26362,plain,
% 73.71/46.87 ((~v90(constB174, bitIndex2)) | v90(constB175, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26361, 26354])).
% 73.71/46.87 tff(26363,plain,
% 73.71/46.87 (v90(constB175, bitIndex2)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26362, 26336])).
% 73.71/46.87 tff(26364,plain,
% 73.71/46.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26365,plain,
% 73.71/46.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26366,plain,
% 73.71/46.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26365, 26364])).
% 73.71/46.87 tff(26367,plain,
% 73.71/46.87 (v130(constB173, bitIndex1)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26366, 976, 26246])).
% 73.71/46.87 tff(26368,plain,
% 73.71/46.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26369,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26370,plain,
% 73.71/46.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 73.71/46.87 tff(26371,plain,
% 73.71/46.87 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26370, 990, 26262])).
% 73.71/46.87 tff(26372,plain,
% 73.71/46.87 (v127(constB173, bitIndex1)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26371, 26367])).
% 73.71/46.87 tff(26373,plain,
% 73.71/46.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 73.71/46.87 inference(rewrite,[status(thm)],[])).
% 73.71/46.87 tff(26374,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 73.71/46.87 inference(quant_inst,[status(thm)],[])).
% 73.71/46.87 tff(26375,plain,
% 73.71/46.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 73.71/46.87 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 73.71/46.87 tff(26376,plain,
% 73.71/46.87 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26375, 1005, 26274])).
% 73.71/46.87 tff(26377,plain,
% 73.71/46.87 (v129(constB174, bitIndex1)),
% 73.71/46.87 inference(unit_resolution,[status(thm)],[26376, 26372])).
% 73.71/46.88 tff(26378,plain,
% 73.71/46.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26379,plain,
% 73.71/46.88 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26380,plain,
% 73.71/46.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26379])).
% 73.71/46.88 tff(26381,plain,
% 73.71/46.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26380, 26378])).
% 73.71/46.88 tff(26382,plain,
% 73.71/46.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26383,plain,
% 73.71/46.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 73.71/46.88 tff(26384,plain,
% 73.71/46.88 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26383, 1020, 26377])).
% 73.71/46.88 tff(26385,plain,
% 73.71/46.88 (v90(constB174, bitIndex1)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26384, 26314])).
% 73.71/46.88 tff(26386,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26387,plain,
% 73.71/46.88 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26388,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26387])).
% 73.71/46.88 tff(26389,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26388, 26386])).
% 73.71/46.88 tff(26390,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26391,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 73.71/46.88 tff(26392,plain,
% 73.71/46.88 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26391, 1038, 26342])).
% 73.71/46.88 tff(26393,plain,
% 73.71/46.88 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26392, 26354])).
% 73.71/46.88 tff(26394,plain,
% 73.71/46.88 (v90(constB175, bitIndex1)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26393, 26385])).
% 73.71/46.88 tff(26395,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26396,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26397,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 73.71/46.88 tff(26398,plain,
% 73.71/46.88 (~v130(constB173, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26397, 1057, 26246])).
% 73.71/46.88 tff(26399,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26400,plain,
% 73.71/46.88 ((v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0))) <=> ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26401,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26400])).
% 73.71/46.88 tff(26402,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26401, 26399])).
% 73.71/46.88 tff(26403,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26404,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26403, 26402])).
% 73.71/46.88 tff(26405,plain,
% 73.71/46.88 ((~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26404, 769, 26262])).
% 73.71/46.88 tff(26406,plain,
% 73.71/46.88 (~v127(constB173, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26405, 26398])).
% 73.71/46.88 tff(26407,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26408,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26409,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26408, 26407])).
% 73.71/46.88 tff(26410,plain,
% 73.71/46.88 (v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26409, 787, 26274])).
% 73.71/46.88 tff(26411,plain,
% 73.71/46.88 (~v129(constB174, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26410, 26406])).
% 73.71/46.88 tff(26412,plain,
% 73.71/46.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26413,plain,
% 73.71/46.88 (((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26414,plain,
% 73.71/46.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26413])).
% 73.71/46.88 tff(26415,plain,
% 73.71/46.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26414, 26412])).
% 73.71/46.88 tff(26416,plain,
% 73.71/46.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26417,plain,
% 73.71/46.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 73.71/46.88 tff(26418,plain,
% 73.71/46.88 ((~v90(constB174, bitIndex0)) | (~v100(constB174))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26417, 802, 26411])).
% 73.71/46.88 tff(26419,plain,
% 73.71/46.88 (~v90(constB174, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26418, 26314])).
% 73.71/46.88 tff(26420,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26421,plain,
% 73.71/46.88 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26422,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26421])).
% 73.71/46.88 tff(26423,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26422, 26420])).
% 73.71/46.88 tff(26424,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26425,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 73.71/46.88 tff(26426,plain,
% 73.71/46.88 (v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26425, 362, 26342])).
% 73.71/46.88 tff(26427,plain,
% 73.71/46.88 (v90(constB174, bitIndex0) | (~v90(constB175, bitIndex0))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26426, 26354])).
% 73.71/46.88 tff(26428,plain,
% 73.71/46.88 (~v90(constB175, bitIndex0)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26427, 26419])).
% 73.71/46.88 tff(26429,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26430,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26431,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 73.71/46.88 tff(26432,plain,
% 73.71/46.88 (v125(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26431, 1101, 26428, 26394, 26363])).
% 73.71/46.88 tff(26433,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB175) | (~v125(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB175) | (~v125(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26434,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB175) | (~v125(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26435,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB175) | (~v125(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 73.71/46.88 tff(26436,plain,
% 73.71/46.88 (v113(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26435, 1112, 26432])).
% 73.71/46.88 tff(26437,assumption,(v26(constB175)), introduced(assumption)).
% 73.71/46.88 tff(26438,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26439,plain,
% 73.71/46.88 ($false),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26438, 26, 26437])).
% 73.71/46.88 tff(26440,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.88 tff(26441,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26442,plain,
% 73.71/46.88 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26443,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26442])).
% 73.71/46.88 tff(26444,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26443, 26441])).
% 73.71/46.88 tff(26445,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26446,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26445, 26444])).
% 73.71/46.88 tff(26447,plain,
% 73.71/46.88 (v112(constB175) | (~v113(constB175))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26446, 463, 26440])).
% 73.71/46.88 tff(26448,plain,
% 73.71/46.88 (v112(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26447, 26436])).
% 73.71/46.88 tff(26449,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26450,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26451,plain,
% 73.71/46.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 73.71/46.88 tff(26452,plain,
% 73.71/46.88 (v108(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26451, 475, 26448])).
% 73.71/46.88 tff(26453,plain,
% 73.71/46.88 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26454,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 73.71/46.88 tff(26455,plain,
% 73.71/46.88 (nextState(constB175, constB176)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26454, 26453])).
% 73.71/46.88 tff(26456,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26457,plain,
% 73.71/46.88 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26458,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26457])).
% 73.71/46.88 tff(26459,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26458, 26456])).
% 73.71/46.88 tff(26460,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26461,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 73.71/46.88 tff(26462,plain,
% 73.71/46.88 (v110(constB176) | (~v108(constB175))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26461, 492, 26455])).
% 73.71/46.88 tff(26463,plain,
% 73.71/46.88 (v110(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26462, 26452])).
% 73.71/46.88 tff(26464,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26465,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26466,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26465, 26464])).
% 73.71/46.88 tff(26467,plain,
% 73.71/46.88 (~v104(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26466, 510, 26455, 26339])).
% 73.71/46.88 tff(26468,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26469,plain,
% 73.71/46.88 (((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26470,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26469])).
% 73.71/46.88 tff(26471,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26470, 26468])).
% 73.71/46.88 tff(26472,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26473,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 73.71/46.88 tff(26474,plain,
% 73.71/46.88 (v104(constB176) | v102(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26473, 524, 26455])).
% 73.71/46.88 tff(26475,plain,
% 73.71/46.88 (v102(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26474, 26467])).
% 73.71/46.88 tff(26476,plain,
% 73.71/46.88 (v1(constB176) <=> v1(constB176)),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26477,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 73.71/46.88 tff(26478,plain,
% 73.71/46.88 (v1(constB176)),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 73.71/46.88 tff(26479,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26480,plain,
% 73.71/46.88 (((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))) <=> ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26481,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26480])).
% 73.71/46.88 tff(26482,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26481, 26479])).
% 73.71/46.88 tff(26483,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26484,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26483, 26482])).
% 73.71/46.88 tff(26485,plain,
% 73.71/46.88 (v101(constB176) | (~v102(constB176))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26484, 545, 26455, 26478])).
% 73.71/46.88 tff(26486,plain,
% 73.71/46.88 (v101(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26485, 26475])).
% 73.71/46.88 tff(26487,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26488,plain,
% 73.71/46.88 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26489,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 73.71/46.88 inference(monotonicity,[status(thm)],[26488])).
% 73.71/46.88 tff(26490,plain,
% 73.71/46.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.71/46.88 inference(transitivity,[status(thm)],[26489, 26487])).
% 73.71/46.88 tff(26491,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26492,plain,
% 73.71/46.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 73.71/46.88 tff(26493,plain,
% 73.71/46.88 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26492, 563, 26455])).
% 73.71/46.88 tff(26494,plain,
% 73.71/46.88 (v100(constB176) | (~v110(constB176))),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26493, 26486])).
% 73.71/46.88 tff(26495,plain,
% 73.71/46.88 (v100(constB176)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26494, 26463])).
% 73.71/46.88 tff(26496,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v122(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26497,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v122(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26498,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v122(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 73.71/46.88 tff(26499,plain,
% 73.71/46.88 (~v122(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26498, 1193, 26363])).
% 73.71/46.88 tff(26500,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26501,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26502,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26501, 26500])).
% 73.71/46.88 tff(26503,plain,
% 73.71/46.88 (~v119(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26502, 1207, 26394])).
% 73.71/46.88 tff(26504,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v124(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v124(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26505,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v124(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26506,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v124(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26505, 26504])).
% 73.71/46.88 tff(26507,plain,
% 73.71/46.88 (~v124(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26506, 1229, 26394])).
% 73.71/46.88 tff(26508,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26509,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26510,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26509, 26508])).
% 73.71/46.88 tff(26511,plain,
% 73.71/46.88 (~v120(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26510, 1240, 26394])).
% 73.71/46.88 tff(26512,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v123(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v123(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26513,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v123(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26514,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v123(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26513, 26512])).
% 73.71/46.88 tff(26515,plain,
% 73.71/46.88 (~v123(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26514, 1218, 26394])).
% 73.71/46.88 tff(26516,plain,
% 73.71/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v121(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v121(constB175)))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26517,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v121(constB175)))),
% 73.71/46.88 inference(quant_inst,[status(thm)],[])).
% 73.71/46.88 tff(26518,plain,
% 73.71/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v121(constB175))),
% 73.71/46.88 inference(modus_ponens,[status(thm)],[26517, 26516])).
% 73.71/46.88 tff(26519,plain,
% 73.71/46.88 (~v121(constB175)),
% 73.71/46.88 inference(unit_resolution,[status(thm)],[26518, 1182, 26363])).
% 73.71/46.88 tff(26520,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26521,plain,
% 73.71/46.88 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))) <=> ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.88 inference(rewrite,[status(thm)],[])).
% 73.71/46.88 tff(26522,plain,
% 73.71/46.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26521])).
% 73.71/46.89 tff(26523,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26522, 26520])).
% 73.71/46.89 tff(26524,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26525,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26524, 26523])).
% 73.71/46.89 tff(26526,plain,
% 73.71/46.89 (~v130(constB175, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26525, 1254, 26519, 26515, 26511, 26507, 26503, 26499])).
% 73.71/46.89 tff(26527,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26528,plain,
% 73.71/46.89 ((v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2))) <=> ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26529,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26528])).
% 73.71/46.89 tff(26530,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26529, 26527])).
% 73.71/46.89 tff(26531,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26532,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26531, 26530])).
% 73.71/46.89 tff(26533,plain,
% 73.71/46.89 ((~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26532, 1271, 26440])).
% 73.71/46.89 tff(26534,plain,
% 73.71/46.89 (~v127(constB175, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26533, 26526])).
% 73.71/46.89 tff(26535,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26536,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26537,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 73.71/46.89 tff(26538,plain,
% 73.71/46.89 (v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26537, 1289, 26455])).
% 73.71/46.89 tff(26539,plain,
% 73.71/46.89 (~v129(constB176, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26538, 26534])).
% 73.71/46.89 tff(26540,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26541,plain,
% 73.71/46.89 (((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26542,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26541])).
% 73.71/46.89 tff(26543,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26542, 26540])).
% 73.71/46.89 tff(26544,plain,
% 73.71/46.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26545,plain,
% 73.71/46.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 73.71/46.89 tff(26546,plain,
% 73.71/46.89 ((~v90(constB176, bitIndex2)) | (~v100(constB176))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26545, 1304, 26539])).
% 73.71/46.89 tff(26547,plain,
% 73.71/46.89 (~v90(constB176, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26546, 26495])).
% 73.71/46.89 tff(26548,plain,
% 73.71/46.89 ((~v1(constB177)) <=> (~v1(constB177))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26549,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 73.71/46.89 tff(26550,plain,
% 73.71/46.89 (~v1(constB177)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 73.71/46.89 tff(26551,plain,
% 73.71/46.89 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26552,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 73.71/46.89 tff(26553,plain,
% 73.71/46.89 (nextState(constB176, constB177)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26552, 26551])).
% 73.71/46.89 tff(26554,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26555,plain,
% 73.71/46.89 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26556,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26555])).
% 73.71/46.89 tff(26557,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26556, 26554])).
% 73.71/46.89 tff(26558,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26559,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26558, 26557])).
% 73.71/46.89 tff(26560,plain,
% 73.71/46.89 (~v101(constB177)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26559, 288, 26553, 26550])).
% 73.71/46.89 tff(26561,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26562,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26563,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26562, 26561])).
% 73.71/46.89 tff(26564,plain,
% 73.71/46.89 (v101(constB177) | (~v100(constB177))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26563, 305, 26553])).
% 73.71/46.89 tff(26565,plain,
% 73.71/46.89 (~v100(constB177)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26564, 26560])).
% 73.71/46.89 tff(26566,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26567,plain,
% 73.71/46.89 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26568,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26567])).
% 73.71/46.89 tff(26569,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26568, 26566])).
% 73.71/46.89 tff(26570,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26571,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 73.71/46.89 tff(26572,plain,
% 73.71/46.89 (v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26571, 320, 26553])).
% 73.71/46.89 tff(26573,plain,
% 73.71/46.89 (v90(constB176, bitIndex2) | (~v90(constB177, bitIndex2))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26572, 26565])).
% 73.71/46.89 tff(26574,plain,
% 73.71/46.89 (~v90(constB177, bitIndex2)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26573, 26547])).
% 73.71/46.89 tff(26575,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26576,plain,
% 73.71/46.89 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1))) <=> ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26577,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26576])).
% 73.71/46.89 tff(26578,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26577, 26575])).
% 73.71/46.89 tff(26579,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26580,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26579, 26578])).
% 73.71/46.89 tff(26581,plain,
% 73.71/46.89 (~v130(constB175, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26580, 1349, 26519, 26515, 26511, 26507, 26503, 26499])).
% 73.71/46.89 tff(26582,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26583,plain,
% 73.71/46.89 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26584,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26583])).
% 73.71/46.89 tff(26585,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26584, 26582])).
% 73.71/46.89 tff(26586,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26587,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26586, 26585])).
% 73.71/46.89 tff(26588,plain,
% 73.71/46.89 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26587, 695, 26440])).
% 73.71/46.89 tff(26589,plain,
% 73.71/46.89 (~v127(constB175, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26588, 26581])).
% 73.71/46.89 tff(26590,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26591,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26592,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26591, 26590])).
% 73.71/46.89 tff(26593,plain,
% 73.71/46.89 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26592, 713, 26455])).
% 73.71/46.89 tff(26594,plain,
% 73.71/46.89 (~v129(constB176, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26593, 26589])).
% 73.71/46.89 tff(26595,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26596,plain,
% 73.71/46.89 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26597,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26596])).
% 73.71/46.89 tff(26598,plain,
% 73.71/46.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26597, 26595])).
% 73.71/46.89 tff(26599,plain,
% 73.71/46.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26600,plain,
% 73.71/46.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 73.71/46.89 tff(26601,plain,
% 73.71/46.89 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26600, 728, 26594])).
% 73.71/46.89 tff(26602,plain,
% 73.71/46.89 (~v90(constB176, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26601, 26495])).
% 73.71/46.89 tff(26603,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26604,plain,
% 73.71/46.89 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26605,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26604])).
% 73.71/46.89 tff(26606,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26605, 26603])).
% 73.71/46.89 tff(26607,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26608,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 73.71/46.89 tff(26609,plain,
% 73.71/46.89 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26608, 341, 26553])).
% 73.71/46.89 tff(26610,plain,
% 73.71/46.89 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26609, 26565])).
% 73.71/46.89 tff(26611,plain,
% 73.71/46.89 (~v90(constB177, bitIndex1)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26610, 26602])).
% 73.71/46.89 tff(26612,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26613,plain,
% 73.71/46.89 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)) <=> (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26614,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26613])).
% 73.71/46.89 tff(26615,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26614, 26612])).
% 73.71/46.89 tff(26616,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26617,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 73.71/46.89 tff(26618,plain,
% 73.71/46.89 (v130(constB175, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26617, 1396, 26519, 26515, 26511, 26507, 26503, 26499])).
% 73.71/46.89 tff(26619,plain,
% 73.71/46.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26620,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26621,plain,
% 73.71/46.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26620, 26619])).
% 73.71/46.89 tff(26622,plain,
% 73.71/46.89 ((~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26621, 1413, 26440])).
% 73.71/46.89 tff(26623,plain,
% 73.71/46.89 (v127(constB175, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26622, 26618])).
% 73.71/46.89 tff(26624,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26625,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26626,plain,
% 73.71/46.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 73.71/46.89 tff(26627,plain,
% 73.71/46.89 ((~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26626, 1428, 26455])).
% 73.71/46.89 tff(26628,plain,
% 73.71/46.89 (v129(constB176, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26627, 26623])).
% 73.71/46.89 tff(26629,plain,
% 73.71/46.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26630,plain,
% 73.71/46.89 ((v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 73.71/46.89 inference(rewrite,[status(thm)],[])).
% 73.71/46.89 tff(26631,plain,
% 73.71/46.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))))),
% 73.71/46.89 inference(monotonicity,[status(thm)],[26630])).
% 73.71/46.89 tff(26632,plain,
% 73.71/46.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 73.71/46.89 inference(transitivity,[status(thm)],[26631, 26629])).
% 73.71/46.89 tff(26633,plain,
% 73.71/46.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))),
% 73.71/46.89 inference(quant_inst,[status(thm)],[])).
% 73.71/46.89 tff(26634,plain,
% 73.71/46.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))),
% 73.71/46.89 inference(modus_ponens,[status(thm)],[26633, 26632])).
% 73.71/46.89 tff(26635,plain,
% 73.71/46.89 (v90(constB176, bitIndex0) | (~v100(constB176))),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26634, 1443, 26628])).
% 73.71/46.89 tff(26636,plain,
% 73.71/46.89 (v90(constB176, bitIndex0)),
% 73.71/46.89 inference(unit_resolution,[status(thm)],[26635, 26495])).
% 73.71/46.89 tff(26637,plain,
% 73.71/46.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26638,plain,
% 73.71/46.90 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26639,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26638])).
% 73.71/46.90 tff(26640,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26639, 26637])).
% 73.71/46.90 tff(26641,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26642,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 73.71/46.90 tff(26643,plain,
% 73.71/46.90 ((~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26642, 1461, 26553])).
% 73.71/46.90 tff(26644,plain,
% 73.71/46.90 ((~v90(constB176, bitIndex0)) | v90(constB177, bitIndex0)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26643, 26565])).
% 73.71/46.90 tff(26645,plain,
% 73.71/46.90 (v90(constB177, bitIndex0)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26644, 26636])).
% 73.71/46.90 tff(26646,plain,
% 73.71/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26647,plain,
% 73.71/46.90 (((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)) <=> ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26648,plain,
% 73.71/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26647])).
% 73.71/46.90 tff(26649,plain,
% 73.71/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26648, 26646])).
% 73.71/46.90 tff(26650,plain,
% 73.71/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26651,plain,
% 73.71/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 73.71/46.90 tff(26652,plain,
% 73.71/46.90 (v120(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26651, 1480, 26645, 26611, 26574])).
% 73.71/46.90 tff(26653,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26654,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26655,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 73.71/46.90 tff(26656,plain,
% 73.71/46.90 (v118(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26655, 1494, 26652])).
% 73.71/46.90 tff(26657,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26658,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26659,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 73.71/46.90 tff(26660,plain,
% 73.71/46.90 (v117(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26659, 405, 26656])).
% 73.71/46.90 tff(26661,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26662,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26663,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 73.71/46.90 tff(26664,plain,
% 73.71/46.90 (v116(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26663, 416, 26660])).
% 73.71/46.90 tff(26665,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26666,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26667,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 73.71/46.90 tff(26668,plain,
% 73.71/46.90 (v115(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26667, 427, 26664])).
% 73.71/46.90 tff(26669,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26670,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26671,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 73.71/46.90 tff(26672,plain,
% 73.71/46.90 (v114(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26671, 438, 26668])).
% 73.71/46.90 tff(26673,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26674,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26675,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 73.71/46.90 tff(26676,plain,
% 73.71/46.90 (v113(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26675, 449, 26672])).
% 73.71/46.90 tff(26677,assumption,(v26(constB177)), introduced(assumption)).
% 73.71/46.90 tff(26678,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26679,plain,
% 73.71/46.90 ($false),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26678, 26, 26677])).
% 73.71/46.90 tff(26680,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.90 tff(26681,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26682,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26683,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26682, 26681])).
% 73.71/46.90 tff(26684,plain,
% 73.71/46.90 ((~v113(constB177)) | v112(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26683, 463, 26680])).
% 73.71/46.90 tff(26685,plain,
% 73.71/46.90 (v112(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26684, 26676])).
% 73.71/46.90 tff(26686,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26687,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26688,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26687, 26686])).
% 73.71/46.90 tff(26689,plain,
% 73.71/46.90 (v108(constB177)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26688, 475, 26685])).
% 73.71/46.90 tff(26690,plain,
% 73.71/46.90 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26691,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 73.71/46.90 tff(26692,plain,
% 73.71/46.90 (nextState(constB177, constB178)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 73.71/46.90 tff(26693,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26694,plain,
% 73.71/46.90 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26695,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26694])).
% 73.71/46.90 tff(26696,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26695, 26693])).
% 73.71/46.90 tff(26697,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26698,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 73.71/46.90 tff(26699,plain,
% 73.71/46.90 (v110(constB178) | (~v108(constB177))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26698, 492, 26692])).
% 73.71/46.90 tff(26700,plain,
% 73.71/46.90 (v110(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26699, 26689])).
% 73.71/46.90 tff(26701,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26702,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26703,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26702, 26701])).
% 73.71/46.90 tff(26704,plain,
% 73.71/46.90 (~v104(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26703, 510, 26692, 26550])).
% 73.71/46.90 tff(26705,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26706,plain,
% 73.71/46.90 (((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26707,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26706])).
% 73.71/46.90 tff(26708,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26707, 26705])).
% 73.71/46.90 tff(26709,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26710,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 73.71/46.90 tff(26711,plain,
% 73.71/46.90 (v104(constB178) | v102(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26710, 524, 26692])).
% 73.71/46.90 tff(26712,plain,
% 73.71/46.90 (v102(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26711, 26704])).
% 73.71/46.90 tff(26713,plain,
% 73.71/46.90 (v1(constB178) <=> v1(constB178)),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26714,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 73.71/46.90 tff(26715,plain,
% 73.71/46.90 (v1(constB178)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26714, 26713])).
% 73.71/46.90 tff(26716,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26717,plain,
% 73.71/46.90 (((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))) <=> ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26718,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26717])).
% 73.71/46.90 tff(26719,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26718, 26716])).
% 73.71/46.90 tff(26720,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26721,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26720, 26719])).
% 73.71/46.90 tff(26722,plain,
% 73.71/46.90 (v101(constB178) | (~v102(constB178))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26721, 545, 26692, 26715])).
% 73.71/46.90 tff(26723,plain,
% 73.71/46.90 (v101(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26722, 26712])).
% 73.71/46.90 tff(26724,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26725,plain,
% 73.71/46.90 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26726,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26725])).
% 73.71/46.90 tff(26727,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26726, 26724])).
% 73.71/46.90 tff(26728,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26729,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26728, 26727])).
% 73.71/46.90 tff(26730,plain,
% 73.71/46.90 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26729, 563, 26692])).
% 73.71/46.90 tff(26731,plain,
% 73.71/46.90 (v100(constB178) | (~v110(constB178))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26730, 26723])).
% 73.71/46.90 tff(26732,plain,
% 73.71/46.90 (v100(constB178)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26731, 26700])).
% 73.71/46.90 tff(26733,plain,
% 73.71/46.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26734,plain,
% 73.71/46.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26735,plain,
% 73.71/46.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 73.71/46.90 tff(26736,plain,
% 73.71/46.90 (~v130(constB177, bitIndex2)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26735, 1587, 26652])).
% 73.71/46.90 tff(26737,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26738,plain,
% 73.71/46.90 ((v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2))) <=> ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26739,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26738])).
% 73.71/46.90 tff(26740,plain,
% 73.71/46.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26739, 26737])).
% 73.71/46.90 tff(26741,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26742,plain,
% 73.71/46.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26741, 26740])).
% 73.71/46.90 tff(26743,plain,
% 73.71/46.90 ((~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26742, 1271, 26680])).
% 73.71/46.90 tff(26744,plain,
% 73.71/46.90 (~v127(constB177, bitIndex2)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26743, 26736])).
% 73.71/46.90 tff(26745,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26746,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26747,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 73.71/46.90 tff(26748,plain,
% 73.71/46.90 (v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26747, 1289, 26692])).
% 73.71/46.90 tff(26749,plain,
% 73.71/46.90 (~v129(constB178, bitIndex2)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26748, 26744])).
% 73.71/46.90 tff(26750,plain,
% 73.71/46.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26751,plain,
% 73.71/46.90 (((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26752,plain,
% 73.71/46.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26751])).
% 73.71/46.90 tff(26753,plain,
% 73.71/46.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26752, 26750])).
% 73.71/46.90 tff(26754,plain,
% 73.71/46.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26755,plain,
% 73.71/46.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 73.71/46.90 tff(26756,plain,
% 73.71/46.90 ((~v90(constB178, bitIndex2)) | (~v100(constB178))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26755, 1304, 26749])).
% 73.71/46.90 tff(26757,plain,
% 73.71/46.90 (~v90(constB178, bitIndex2)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26756, 26732])).
% 73.71/46.90 tff(26758,plain,
% 73.71/46.90 ((~v1(constB179)) <=> (~v1(constB179))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26759,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 73.71/46.90 tff(26760,plain,
% 73.71/46.90 (~v1(constB179)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26759, 26758])).
% 73.71/46.90 tff(26761,plain,
% 73.71/46.90 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26762,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 73.71/46.90 tff(26763,plain,
% 73.71/46.90 (nextState(constB178, constB179)),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 73.71/46.90 tff(26764,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26765,plain,
% 73.71/46.90 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26766,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26765])).
% 73.71/46.90 tff(26767,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26766, 26764])).
% 73.71/46.90 tff(26768,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26769,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 73.71/46.90 tff(26770,plain,
% 73.71/46.90 (~v101(constB179)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26769, 288, 26763, 26760])).
% 73.71/46.90 tff(26771,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26772,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26773,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26772, 26771])).
% 73.71/46.90 tff(26774,plain,
% 73.71/46.90 (v101(constB179) | (~v100(constB179))),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26773, 305, 26763])).
% 73.71/46.90 tff(26775,plain,
% 73.71/46.90 (~v100(constB179)),
% 73.71/46.90 inference(unit_resolution,[status(thm)],[26774, 26770])).
% 73.71/46.90 tff(26776,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26777,plain,
% 73.71/46.90 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 73.71/46.90 inference(rewrite,[status(thm)],[])).
% 73.71/46.90 tff(26778,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))))),
% 73.71/46.90 inference(monotonicity,[status(thm)],[26777])).
% 73.71/46.90 tff(26779,plain,
% 73.71/46.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 73.71/46.90 inference(transitivity,[status(thm)],[26778, 26776])).
% 73.71/46.90 tff(26780,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 73.71/46.90 inference(quant_inst,[status(thm)],[])).
% 73.71/46.90 tff(26781,plain,
% 73.71/46.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 73.71/46.90 inference(modus_ponens,[status(thm)],[26780, 26779])).
% 73.71/46.90 tff(26782,plain,
% 73.71/46.91 (v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26781, 320, 26763])).
% 73.71/46.91 tff(26783,plain,
% 73.71/46.91 (v90(constB178, bitIndex2) | (~v90(constB179, bitIndex2))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26782, 26775])).
% 73.71/46.91 tff(26784,plain,
% 73.71/46.91 (~v90(constB179, bitIndex2)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26783, 26757])).
% 73.71/46.91 tff(26785,plain,
% 73.71/46.91 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26786,plain,
% 73.71/46.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26787,plain,
% 73.71/46.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26786, 26785])).
% 73.71/46.91 tff(26788,plain,
% 73.71/46.91 (v130(constB177, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26787, 1649, 26652])).
% 73.71/46.91 tff(26789,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26790,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26791,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 73.71/46.91 tff(26792,plain,
% 73.71/46.91 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26791, 990, 26680])).
% 73.71/46.91 tff(26793,plain,
% 73.71/46.91 (v127(constB177, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26792, 26788])).
% 73.71/46.91 tff(26794,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26795,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26796,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 73.71/46.91 tff(26797,plain,
% 73.71/46.91 ((~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26796, 1005, 26692])).
% 73.71/46.91 tff(26798,plain,
% 73.71/46.91 (v129(constB178, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26797, 26793])).
% 73.71/46.91 tff(26799,plain,
% 73.71/46.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26800,plain,
% 73.71/46.91 ((v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26801,plain,
% 73.71/46.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26800])).
% 73.71/46.91 tff(26802,plain,
% 73.71/46.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26801, 26799])).
% 73.71/46.91 tff(26803,plain,
% 73.71/46.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26804,plain,
% 73.71/46.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26803, 26802])).
% 73.71/46.91 tff(26805,plain,
% 73.71/46.91 (v90(constB178, bitIndex1) | (~v100(constB178))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26804, 1020, 26798])).
% 73.71/46.91 tff(26806,plain,
% 73.71/46.91 (v90(constB178, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26805, 26732])).
% 73.71/46.91 tff(26807,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26808,plain,
% 73.71/46.91 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26809,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26808])).
% 73.71/46.91 tff(26810,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26809, 26807])).
% 73.71/46.91 tff(26811,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26812,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 73.71/46.91 tff(26813,plain,
% 73.71/46.91 ((~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26812, 1038, 26763])).
% 73.71/46.91 tff(26814,plain,
% 73.71/46.91 ((~v90(constB178, bitIndex1)) | v90(constB179, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26813, 26775])).
% 73.71/46.91 tff(26815,plain,
% 73.71/46.91 (v90(constB179, bitIndex1)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26814, 26806])).
% 73.71/46.91 tff(26816,plain,
% 73.71/46.91 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26817,plain,
% 73.71/46.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26818,plain,
% 73.71/46.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 73.71/46.91 tff(26819,plain,
% 73.71/46.91 (~v130(constB177, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26818, 1690, 26652])).
% 73.71/46.91 tff(26820,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26821,plain,
% 73.71/46.91 ((v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0))) <=> ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26822,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26821])).
% 73.71/46.91 tff(26823,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26822, 26820])).
% 73.71/46.91 tff(26824,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26825,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 73.71/46.91 tff(26826,plain,
% 73.71/46.91 ((~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26825, 769, 26680])).
% 73.71/46.91 tff(26827,plain,
% 73.71/46.91 (~v127(constB177, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26826, 26819])).
% 73.71/46.91 tff(26828,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26829,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26830,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26829, 26828])).
% 73.71/46.91 tff(26831,plain,
% 73.71/46.91 (v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26830, 787, 26692])).
% 73.71/46.91 tff(26832,plain,
% 73.71/46.91 (~v129(constB178, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26831, 26827])).
% 73.71/46.91 tff(26833,plain,
% 73.71/46.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26834,plain,
% 73.71/46.91 (((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26835,plain,
% 73.71/46.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26834])).
% 73.71/46.91 tff(26836,plain,
% 73.71/46.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26835, 26833])).
% 73.71/46.91 tff(26837,plain,
% 73.71/46.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26838,plain,
% 73.71/46.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 73.71/46.91 tff(26839,plain,
% 73.71/46.91 ((~v90(constB178, bitIndex0)) | (~v100(constB178))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26838, 802, 26832])).
% 73.71/46.91 tff(26840,plain,
% 73.71/46.91 (~v90(constB178, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26839, 26732])).
% 73.71/46.91 tff(26841,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26842,plain,
% 73.71/46.91 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26843,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26842])).
% 73.71/46.91 tff(26844,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26843, 26841])).
% 73.71/46.91 tff(26845,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26846,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 73.71/46.91 tff(26847,plain,
% 73.71/46.91 (v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26846, 362, 26763])).
% 73.71/46.91 tff(26848,plain,
% 73.71/46.91 (v90(constB178, bitIndex0) | (~v90(constB179, bitIndex0))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26847, 26775])).
% 73.71/46.91 tff(26849,plain,
% 73.71/46.91 (~v90(constB179, bitIndex0)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26848, 26840])).
% 73.71/46.91 tff(26850,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26851,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26852,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 73.71/46.91 tff(26853,plain,
% 73.71/46.91 (v121(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26852, 1734, 26849, 26815, 26784])).
% 73.71/46.91 tff(26854,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB179) | (~v121(constB179)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB179) | (~v121(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26855,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB179) | (~v121(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26856,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB179) | (~v121(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26855, 26854])).
% 73.71/46.91 tff(26857,plain,
% 73.71/46.91 (v117(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26856, 1775, 26853])).
% 73.71/46.91 tff(26858,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB179) | (~v117(constB179)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB179) | (~v117(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26859,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB179) | (~v117(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26860,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB179) | (~v117(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 73.71/46.91 tff(26861,plain,
% 73.71/46.91 (v116(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26860, 416, 26857])).
% 73.71/46.91 tff(26862,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB179) | (~v116(constB179)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB179) | (~v116(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26863,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB179) | (~v116(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26864,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB179) | (~v116(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26863, 26862])).
% 73.71/46.91 tff(26865,plain,
% 73.71/46.91 (v115(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26864, 427, 26861])).
% 73.71/46.91 tff(26866,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB179) | (~v115(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26867,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB179) | (~v115(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26868,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB179) | (~v115(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26867, 26866])).
% 73.71/46.91 tff(26869,plain,
% 73.71/46.91 (v114(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26868, 438, 26865])).
% 73.71/46.91 tff(26870,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26871,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26872,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 73.71/46.91 tff(26873,plain,
% 73.71/46.91 (v113(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26872, 449, 26869])).
% 73.71/46.91 tff(26874,assumption,(v26(constB179)), introduced(assumption)).
% 73.71/46.91 tff(26875,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26876,plain,
% 73.71/46.91 ($false),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26875, 26, 26874])).
% 73.71/46.91 tff(26877,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.91 tff(26878,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26879,plain,
% 73.71/46.91 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26880,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26879])).
% 73.71/46.91 tff(26881,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26880, 26878])).
% 73.71/46.91 tff(26882,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26883,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26882, 26881])).
% 73.71/46.91 tff(26884,plain,
% 73.71/46.91 (v112(constB179) | (~v113(constB179))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26883, 463, 26877])).
% 73.71/46.91 tff(26885,plain,
% 73.71/46.91 (v112(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26884, 26873])).
% 73.71/46.91 tff(26886,plain,
% 73.71/46.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26887,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26888,plain,
% 73.71/46.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 73.71/46.91 tff(26889,plain,
% 73.71/46.91 (v108(constB179)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26888, 475, 26885])).
% 73.71/46.91 tff(26890,plain,
% 73.71/46.91 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26891,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 73.71/46.91 tff(26892,plain,
% 73.71/46.91 (nextState(constB179, constB180)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26891, 26890])).
% 73.71/46.91 tff(26893,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26894,plain,
% 73.71/46.91 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26895,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26894])).
% 73.71/46.91 tff(26896,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26895, 26893])).
% 73.71/46.91 tff(26897,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26898,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 73.71/46.91 tff(26899,plain,
% 73.71/46.91 (v110(constB180) | (~v108(constB179))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26898, 492, 26892])).
% 73.71/46.91 tff(26900,plain,
% 73.71/46.91 (v110(constB180)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26899, 26889])).
% 73.71/46.91 tff(26901,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26902,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26903,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 73.71/46.91 tff(26904,plain,
% 73.71/46.91 (~v104(constB180)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26903, 510, 26892, 26760])).
% 73.71/46.91 tff(26905,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26906,plain,
% 73.71/46.91 (((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26907,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26906])).
% 73.71/46.91 tff(26908,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26907, 26905])).
% 73.71/46.91 tff(26909,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26910,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 73.71/46.91 tff(26911,plain,
% 73.71/46.91 (v104(constB180) | v102(constB180)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26910, 524, 26892])).
% 73.71/46.91 tff(26912,plain,
% 73.71/46.91 (v102(constB180)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26911, 26904])).
% 73.71/46.91 tff(26913,plain,
% 73.71/46.91 (v1(constB180) <=> v1(constB180)),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26914,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 73.71/46.91 tff(26915,plain,
% 73.71/46.91 (v1(constB180)),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 73.71/46.91 tff(26916,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26917,plain,
% 73.71/46.91 (((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))) <=> ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26918,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26917])).
% 73.71/46.91 tff(26919,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26918, 26916])).
% 73.71/46.91 tff(26920,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26921,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))),
% 73.71/46.91 inference(modus_ponens,[status(thm)],[26920, 26919])).
% 73.71/46.91 tff(26922,plain,
% 73.71/46.91 (v101(constB180) | (~v102(constB180))),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26921, 545, 26892, 26915])).
% 73.71/46.91 tff(26923,plain,
% 73.71/46.91 (v101(constB180)),
% 73.71/46.91 inference(unit_resolution,[status(thm)],[26922, 26912])).
% 73.71/46.91 tff(26924,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26925,plain,
% 73.71/46.91 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.71/46.91 inference(rewrite,[status(thm)],[])).
% 73.71/46.91 tff(26926,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 73.71/46.91 inference(monotonicity,[status(thm)],[26925])).
% 73.71/46.91 tff(26927,plain,
% 73.71/46.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.71/46.91 inference(transitivity,[status(thm)],[26926, 26924])).
% 73.71/46.91 tff(26928,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 73.71/46.91 inference(quant_inst,[status(thm)],[])).
% 73.71/46.91 tff(26929,plain,
% 73.71/46.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26928, 26927])).
% 73.71/46.92 tff(26930,plain,
% 73.71/46.92 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26929, 563, 26892])).
% 73.71/46.92 tff(26931,plain,
% 73.71/46.92 (v100(constB180) | (~v110(constB180))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26930, 26923])).
% 73.71/46.92 tff(26932,plain,
% 73.71/46.92 (v100(constB180)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26931, 26900])).
% 73.71/46.92 tff(26933,plain,
% 73.71/46.92 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26934,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26935,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 73.71/46.92 tff(26936,plain,
% 73.71/46.92 (~v130(constB179, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26935, 1748, 26853])).
% 73.71/46.92 tff(26937,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26938,plain,
% 73.71/46.92 ((v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2))) <=> ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26939,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[26938])).
% 73.71/46.92 tff(26940,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 73.71/46.92 inference(transitivity,[status(thm)],[26939, 26937])).
% 73.71/46.92 tff(26941,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26942,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 73.71/46.92 tff(26943,plain,
% 73.71/46.92 ((~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26942, 1271, 26877])).
% 73.71/46.92 tff(26944,plain,
% 73.71/46.92 (~v127(constB179, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26943, 26936])).
% 73.71/46.92 tff(26945,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26946,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26947,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 73.71/46.92 tff(26948,plain,
% 73.71/46.92 (v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26947, 1289, 26892])).
% 73.71/46.92 tff(26949,plain,
% 73.71/46.92 (~v129(constB180, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26948, 26944])).
% 73.71/46.92 tff(26950,plain,
% 73.71/46.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26951,plain,
% 73.71/46.92 (((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26952,plain,
% 73.71/46.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180))))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[26951])).
% 73.71/46.92 tff(26953,plain,
% 73.71/46.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 73.71/46.92 inference(transitivity,[status(thm)],[26952, 26950])).
% 73.71/46.92 tff(26954,plain,
% 73.71/46.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26955,plain,
% 73.71/46.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26954, 26953])).
% 73.71/46.92 tff(26956,plain,
% 73.71/46.92 ((~v90(constB180, bitIndex2)) | (~v100(constB180))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26955, 1304, 26949])).
% 73.71/46.92 tff(26957,plain,
% 73.71/46.92 (~v90(constB180, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26956, 26932])).
% 73.71/46.92 tff(26958,plain,
% 73.71/46.92 ((~v1(constB181)) <=> (~v1(constB181))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26959,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 73.71/46.92 tff(26960,plain,
% 73.71/46.92 (~v1(constB181)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26959, 26958])).
% 73.71/46.92 tff(26961,plain,
% 73.71/46.92 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26962,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 73.71/46.92 tff(26963,plain,
% 73.71/46.92 (nextState(constB180, constB181)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26962, 26961])).
% 73.71/46.92 tff(26964,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26965,plain,
% 73.71/46.92 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26966,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[26965])).
% 73.71/46.92 tff(26967,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.71/46.92 inference(transitivity,[status(thm)],[26966, 26964])).
% 73.71/46.92 tff(26968,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26969,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 73.71/46.92 tff(26970,plain,
% 73.71/46.92 (~v101(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26969, 288, 26963, 26960])).
% 73.71/46.92 tff(26971,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26972,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26973,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26972, 26971])).
% 73.71/46.92 tff(26974,plain,
% 73.71/46.92 (v101(constB181) | (~v100(constB181))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26973, 305, 26963])).
% 73.71/46.92 tff(26975,plain,
% 73.71/46.92 (~v100(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26974, 26970])).
% 73.71/46.92 tff(26976,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26977,plain,
% 73.71/46.92 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26978,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[26977])).
% 73.71/46.92 tff(26979,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 73.71/46.92 inference(transitivity,[status(thm)],[26978, 26976])).
% 73.71/46.92 tff(26980,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26981,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26980, 26979])).
% 73.71/46.92 tff(26982,plain,
% 73.71/46.92 (v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26981, 320, 26963])).
% 73.71/46.92 tff(26983,plain,
% 73.71/46.92 (v90(constB180, bitIndex2) | (~v90(constB181, bitIndex2))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26982, 26975])).
% 73.71/46.92 tff(26984,plain,
% 73.71/46.92 (~v90(constB181, bitIndex2)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26983, 26957])).
% 73.71/46.92 tff(26985,plain,
% 73.71/46.92 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26986,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26987,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26986, 26985])).
% 73.71/46.92 tff(26988,plain,
% 73.71/46.92 (v130(constB179, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26987, 1904, 26853])).
% 73.71/46.92 tff(26989,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26990,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26991,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26990, 26989])).
% 73.71/46.92 tff(26992,plain,
% 73.71/46.92 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26991, 990, 26877])).
% 73.71/46.92 tff(26993,plain,
% 73.71/46.92 (v127(constB179, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26992, 26988])).
% 73.71/46.92 tff(26994,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(26995,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(26996,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[26995, 26994])).
% 73.71/46.92 tff(26997,plain,
% 73.71/46.92 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26996, 1005, 26892])).
% 73.71/46.92 tff(26998,plain,
% 73.71/46.92 (v129(constB180, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[26997, 26993])).
% 73.71/46.92 tff(26999,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27000,plain,
% 73.71/46.92 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27001,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[27000])).
% 73.71/46.92 tff(27002,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.71/46.92 inference(transitivity,[status(thm)],[27001, 26999])).
% 73.71/46.92 tff(27003,plain,
% 73.71/46.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27004,plain,
% 73.71/46.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 73.71/46.92 tff(27005,plain,
% 73.71/46.92 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27004, 1020, 26998])).
% 73.71/46.92 tff(27006,plain,
% 73.71/46.92 (v90(constB180, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27005, 26932])).
% 73.71/46.92 tff(27007,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27008,plain,
% 73.71/46.92 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27009,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[27008])).
% 73.71/46.92 tff(27010,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.71/46.92 inference(transitivity,[status(thm)],[27009, 27007])).
% 73.71/46.92 tff(27011,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27012,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27011, 27010])).
% 73.71/46.92 tff(27013,plain,
% 73.71/46.92 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27012, 1038, 26963])).
% 73.71/46.92 tff(27014,plain,
% 73.71/46.92 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27013, 26975])).
% 73.71/46.92 tff(27015,plain,
% 73.71/46.92 (v90(constB181, bitIndex1)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27014, 27006])).
% 73.71/46.92 tff(27016,plain,
% 73.71/46.92 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27017,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27018,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27017, 27016])).
% 73.71/46.92 tff(27019,plain,
% 73.71/46.92 (v130(constB179, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27018, 1945, 26853])).
% 73.71/46.92 tff(27020,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27021,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27022,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 73.71/46.92 tff(27023,plain,
% 73.71/46.92 ((~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27022, 1413, 26877])).
% 73.71/46.92 tff(27024,plain,
% 73.71/46.92 (v127(constB179, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27023, 27019])).
% 73.71/46.92 tff(27025,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27026,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27027,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27026, 27025])).
% 73.71/46.92 tff(27028,plain,
% 73.71/46.92 ((~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27027, 1428, 26892])).
% 73.71/46.92 tff(27029,plain,
% 73.71/46.92 (v129(constB180, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27028, 27024])).
% 73.71/46.92 tff(27030,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27031,plain,
% 73.71/46.92 ((v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27032,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[27031])).
% 73.71/46.92 tff(27033,plain,
% 73.71/46.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 73.71/46.92 inference(transitivity,[status(thm)],[27032, 27030])).
% 73.71/46.92 tff(27034,plain,
% 73.71/46.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27035,plain,
% 73.71/46.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 73.71/46.92 tff(27036,plain,
% 73.71/46.92 (v90(constB180, bitIndex0) | (~v100(constB180))),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27035, 1443, 27029])).
% 73.71/46.92 tff(27037,plain,
% 73.71/46.92 (v90(constB180, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27036, 26932])).
% 73.71/46.92 tff(27038,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27039,plain,
% 73.71/46.92 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27040,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)))),
% 73.71/46.92 inference(monotonicity,[status(thm)],[27039])).
% 73.71/46.92 tff(27041,plain,
% 73.71/46.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 73.71/46.92 inference(transitivity,[status(thm)],[27040, 27038])).
% 73.71/46.92 tff(27042,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27043,plain,
% 73.71/46.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27042, 27041])).
% 73.71/46.92 tff(27044,plain,
% 73.71/46.92 ((~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27043, 1461, 26963])).
% 73.71/46.92 tff(27045,plain,
% 73.71/46.92 ((~v90(constB180, bitIndex0)) | v90(constB181, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27044, 26975])).
% 73.71/46.92 tff(27046,plain,
% 73.71/46.92 (v90(constB181, bitIndex0)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27045, 27037])).
% 73.71/46.92 tff(27047,plain,
% 73.71/46.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27048,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27049,plain,
% 73.71/46.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 73.71/46.92 tff(27050,plain,
% 73.71/46.92 (v122(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27049, 1986, 27046, 27015, 26984])).
% 73.71/46.92 tff(27051,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB181) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB181) | (~v122(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27052,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB181) | (~v122(constB181)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27053,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB181) | (~v122(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27052, 27051])).
% 73.71/46.92 tff(27054,plain,
% 73.71/46.92 (v116(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27053, 1997, 27050])).
% 73.71/46.92 tff(27055,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27056,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27057,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 73.71/46.92 tff(27058,plain,
% 73.71/46.92 (v115(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27057, 427, 27054])).
% 73.71/46.92 tff(27059,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27060,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27061,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27060, 27059])).
% 73.71/46.92 tff(27062,plain,
% 73.71/46.92 (v114(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27061, 438, 27058])).
% 73.71/46.92 tff(27063,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27064,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27065,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181))),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27064, 27063])).
% 73.71/46.92 tff(27066,plain,
% 73.71/46.92 (v113(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27065, 449, 27062])).
% 73.71/46.92 tff(27067,assumption,(v26(constB181)), introduced(assumption)).
% 73.71/46.92 tff(27068,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27069,plain,
% 73.71/46.92 ($false),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27068, 26, 27067])).
% 73.71/46.92 tff(27070,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.92 tff(27071,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27072,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 73.71/46.92 inference(quant_inst,[status(thm)],[])).
% 73.71/46.92 tff(27073,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 73.71/46.92 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 73.71/46.92 tff(27074,plain,
% 73.71/46.92 ((~v113(constB181)) | v112(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27073, 463, 27070])).
% 73.71/46.92 tff(27075,plain,
% 73.71/46.92 (v112(constB181)),
% 73.71/46.92 inference(unit_resolution,[status(thm)],[27074, 27066])).
% 73.71/46.92 tff(27076,plain,
% 73.71/46.92 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 73.71/46.92 inference(rewrite,[status(thm)],[])).
% 73.71/46.92 tff(27077,plain,
% 73.71/46.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27078,plain,
% 73.71/46.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 73.71/46.93 tff(27079,plain,
% 73.71/46.93 (v108(constB181)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27078, 475, 27075])).
% 73.71/46.93 tff(27080,plain,
% 73.71/46.93 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27081,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 73.71/46.93 tff(27082,plain,
% 73.71/46.93 (nextState(constB181, constB182)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27081, 27080])).
% 73.71/46.93 tff(27083,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27084,plain,
% 73.71/46.93 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27085,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27084])).
% 73.71/46.93 tff(27086,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27085, 27083])).
% 73.71/46.93 tff(27087,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27088,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 73.71/46.93 tff(27089,plain,
% 73.71/46.93 (v110(constB182) | (~v108(constB181))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27088, 492, 27082])).
% 73.71/46.93 tff(27090,plain,
% 73.71/46.93 (v110(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27089, 27079])).
% 73.71/46.93 tff(27091,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27092,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27093,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27092, 27091])).
% 73.71/46.93 tff(27094,plain,
% 73.71/46.93 (~v104(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27093, 510, 27082, 26960])).
% 73.71/46.93 tff(27095,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27096,plain,
% 73.71/46.93 (((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27097,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27096])).
% 73.71/46.93 tff(27098,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27097, 27095])).
% 73.71/46.93 tff(27099,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27100,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 73.71/46.93 tff(27101,plain,
% 73.71/46.93 (v104(constB182) | v102(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27100, 524, 27082])).
% 73.71/46.93 tff(27102,plain,
% 73.71/46.93 (v102(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27101, 27094])).
% 73.71/46.93 tff(27103,plain,
% 73.71/46.93 (v1(constB182) <=> v1(constB182)),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27104,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 73.71/46.93 tff(27105,plain,
% 73.71/46.93 (v1(constB182)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27104, 27103])).
% 73.71/46.93 tff(27106,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27107,plain,
% 73.71/46.93 (((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))) <=> ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27108,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27107])).
% 73.71/46.93 tff(27109,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27108, 27106])).
% 73.71/46.93 tff(27110,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27111,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27110, 27109])).
% 73.71/46.93 tff(27112,plain,
% 73.71/46.93 (v101(constB182) | (~v102(constB182))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27111, 545, 27082, 27105])).
% 73.71/46.93 tff(27113,plain,
% 73.71/46.93 (v101(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27112, 27102])).
% 73.71/46.93 tff(27114,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27115,plain,
% 73.71/46.93 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27116,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27115])).
% 73.71/46.93 tff(27117,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27116, 27114])).
% 73.71/46.93 tff(27118,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27119,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 73.71/46.93 tff(27120,plain,
% 73.71/46.93 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27119, 563, 27082])).
% 73.71/46.93 tff(27121,plain,
% 73.71/46.93 (v100(constB182) | (~v110(constB182))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27120, 27113])).
% 73.71/46.93 tff(27122,plain,
% 73.71/46.93 (v100(constB182)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27121, 27090])).
% 73.71/46.93 tff(27123,plain,
% 73.71/46.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27124,plain,
% 73.71/46.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27125,plain,
% 73.71/46.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27124, 27123])).
% 73.71/46.93 tff(27126,plain,
% 73.71/46.93 (~v130(constB181, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27125, 2182, 27050])).
% 73.71/46.93 tff(27127,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27128,plain,
% 73.71/46.93 ((v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0))) <=> ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27129,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27128])).
% 73.71/46.93 tff(27130,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27129, 27127])).
% 73.71/46.93 tff(27131,plain,
% 73.71/46.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27132,plain,
% 73.71/46.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 73.71/46.93 tff(27133,plain,
% 73.71/46.93 ((~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27132, 769, 27070])).
% 73.71/46.93 tff(27134,plain,
% 73.71/46.93 (~v127(constB181, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27133, 27126])).
% 73.71/46.93 tff(27135,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27136,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27137,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 73.71/46.93 tff(27138,plain,
% 73.71/46.93 (v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27137, 787, 27082])).
% 73.71/46.93 tff(27139,plain,
% 73.71/46.93 (~v129(constB182, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27138, 27134])).
% 73.71/46.93 tff(27140,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27141,plain,
% 73.71/46.93 (((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27142,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27141])).
% 73.71/46.93 tff(27143,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27142, 27140])).
% 73.71/46.93 tff(27144,plain,
% 73.71/46.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27145,plain,
% 73.71/46.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 73.71/46.93 tff(27146,plain,
% 73.71/46.93 ((~v90(constB182, bitIndex0)) | (~v100(constB182))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27145, 802, 27139])).
% 73.71/46.93 tff(27147,plain,
% 73.71/46.93 (~v90(constB182, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27146, 27122])).
% 73.71/46.93 tff(27148,plain,
% 73.71/46.93 ((~v1(constB183)) <=> (~v1(constB183))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27149,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 73.71/46.93 tff(27150,plain,
% 73.71/46.93 (~v1(constB183)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 73.71/46.93 tff(27151,plain,
% 73.71/46.93 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27152,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 73.71/46.93 tff(27153,plain,
% 73.71/46.93 (nextState(constB182, constB183)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 73.71/46.93 tff(27154,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27155,plain,
% 73.71/46.93 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27156,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27155])).
% 73.71/46.93 tff(27157,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27156, 27154])).
% 73.71/46.93 tff(27158,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27159,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27158, 27157])).
% 73.71/46.93 tff(27160,plain,
% 73.71/46.93 (~v101(constB183)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27159, 288, 27153, 27150])).
% 73.71/46.93 tff(27161,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27162,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27163,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 73.71/46.93 tff(27164,plain,
% 73.71/46.93 (v101(constB183) | (~v100(constB183))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27163, 305, 27153])).
% 73.71/46.93 tff(27165,plain,
% 73.71/46.93 (~v100(constB183)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27164, 27160])).
% 73.71/46.93 tff(27166,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27167,plain,
% 73.71/46.93 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27168,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27167])).
% 73.71/46.93 tff(27169,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27168, 27166])).
% 73.71/46.93 tff(27170,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27171,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 73.71/46.93 tff(27172,plain,
% 73.71/46.93 (v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27171, 362, 27153])).
% 73.71/46.93 tff(27173,plain,
% 73.71/46.93 (v90(constB182, bitIndex0) | (~v90(constB183, bitIndex0))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27172, 27165])).
% 73.71/46.93 tff(27174,plain,
% 73.71/46.93 (~v90(constB183, bitIndex0)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27173, 27147])).
% 73.71/46.93 tff(27175,plain,
% 73.71/46.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27176,plain,
% 73.71/46.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27177,plain,
% 73.71/46.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 73.71/46.93 tff(27178,plain,
% 73.71/46.93 (~v130(constB181, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27177, 2138, 27050])).
% 73.71/46.93 tff(27179,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27180,plain,
% 73.71/46.93 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27181,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27180])).
% 73.71/46.93 tff(27182,plain,
% 73.71/46.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27181, 27179])).
% 73.71/46.93 tff(27183,plain,
% 73.71/46.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27184,plain,
% 73.71/46.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 73.71/46.93 tff(27185,plain,
% 73.71/46.93 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27184, 695, 27070])).
% 73.71/46.93 tff(27186,plain,
% 73.71/46.93 (~v127(constB181, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27185, 27178])).
% 73.71/46.93 tff(27187,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27188,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27189,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27188, 27187])).
% 73.71/46.93 tff(27190,plain,
% 73.71/46.93 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27189, 713, 27082])).
% 73.71/46.93 tff(27191,plain,
% 73.71/46.93 (~v129(constB182, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27190, 27186])).
% 73.71/46.93 tff(27192,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27193,plain,
% 73.71/46.93 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27194,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27193])).
% 73.71/46.93 tff(27195,plain,
% 73.71/46.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27194, 27192])).
% 73.71/46.93 tff(27196,plain,
% 73.71/46.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27197,plain,
% 73.71/46.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27196, 27195])).
% 73.71/46.93 tff(27198,plain,
% 73.71/46.93 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27197, 728, 27191])).
% 73.71/46.93 tff(27199,plain,
% 73.71/46.93 (~v90(constB182, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27198, 27122])).
% 73.71/46.93 tff(27200,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27201,plain,
% 73.71/46.93 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.71/46.93 inference(rewrite,[status(thm)],[])).
% 73.71/46.93 tff(27202,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 73.71/46.93 inference(monotonicity,[status(thm)],[27201])).
% 73.71/46.93 tff(27203,plain,
% 73.71/46.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.71/46.93 inference(transitivity,[status(thm)],[27202, 27200])).
% 73.71/46.93 tff(27204,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.71/46.93 inference(quant_inst,[status(thm)],[])).
% 73.71/46.93 tff(27205,plain,
% 73.71/46.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 73.71/46.93 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 73.71/46.93 tff(27206,plain,
% 73.71/46.93 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27205, 341, 27153])).
% 73.71/46.93 tff(27207,plain,
% 73.71/46.93 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27206, 27165])).
% 73.71/46.93 tff(27208,plain,
% 73.71/46.93 (~v90(constB183, bitIndex1)),
% 73.71/46.93 inference(unit_resolution,[status(thm)],[27207, 27199])).
% 73.71/46.94 tff(27209,assumption,(v119(constB183)), introduced(assumption)).
% 73.71/46.94 tff(27210,plain,
% 73.71/46.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB183, bitIndex0)) | (~v119(constB183)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB183, bitIndex0)) | (~v119(constB183)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27211,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB183, bitIndex0)) | (~v119(constB183)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27212,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB183, bitIndex0)) | (~v119(constB183))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 73.71/46.94 tff(27213,plain,
% 73.71/46.94 (~v90(constB183, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27212, 3665, 27209])).
% 73.71/46.94 tff(27214,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27215,plain,
% 73.71/46.94 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27216,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27215])).
% 73.71/46.94 tff(27217,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27216, 27214])).
% 73.71/46.94 tff(27218,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27219,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 73.71/46.94 tff(27220,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27219, 1461, 27153])).
% 73.71/46.94 tff(27221,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27220, 27165])).
% 73.71/46.94 tff(27222,plain,
% 73.71/46.94 (~v90(constB182, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27221, 27213])).
% 73.71/46.94 tff(27223,plain,
% 73.71/46.94 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB183)) | (~v90(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB183)) | (~v90(constB183, bitIndex2)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27224,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB183)) | (~v90(constB183, bitIndex2)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27225,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB183)) | (~v90(constB183, bitIndex2))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27224, 27223])).
% 73.71/46.94 tff(27226,plain,
% 73.71/46.94 (~v90(constB183, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27225, 3402, 27209])).
% 73.71/46.94 tff(27227,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27228,plain,
% 73.71/46.94 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27229,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27228])).
% 73.71/46.94 tff(27230,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27229, 27227])).
% 73.71/46.94 tff(27231,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27232,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27231, 27230])).
% 73.71/46.94 tff(27233,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27232, 662, 27153])).
% 73.71/46.94 tff(27234,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex2)) | v90(constB183, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27233, 27165])).
% 73.71/46.94 tff(27235,plain,
% 73.71/46.94 (~v90(constB182, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27234, 27226])).
% 73.71/46.94 tff(27236,plain,
% 73.71/46.94 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB183)) | (~v90(constB183, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB183)) | (~v90(constB183, bitIndex1)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27237,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB183)) | (~v90(constB183, bitIndex1)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27238,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB183)) | (~v90(constB183, bitIndex1))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27237, 27236])).
% 73.71/46.94 tff(27239,plain,
% 73.71/46.94 (~v90(constB183, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27238, 1207, 27209])).
% 73.71/46.94 tff(27240,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27241,plain,
% 73.71/46.94 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex1)) | v100(constB183) | v90(constB183, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27242,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex1)) | v100(constB183) | v90(constB183, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27241])).
% 73.71/46.94 tff(27243,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex1)) | v100(constB183) | v90(constB183, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27242, 27240])).
% 73.71/46.94 tff(27244,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex1)) | v100(constB183) | v90(constB183, bitIndex1))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27245,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex1)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 73.71/46.94 tff(27246,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex1)) | v100(constB183) | v90(constB183, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27245, 1038, 27153])).
% 73.71/46.94 tff(27247,plain,
% 73.71/46.94 ((~v90(constB182, bitIndex1)) | v90(constB183, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27246, 27165])).
% 73.71/46.94 tff(27248,plain,
% 73.71/46.94 (~v90(constB182, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27247, 27239])).
% 73.71/46.94 tff(27249,assumption,(~v90(constB182, bitIndex0)), introduced(assumption)).
% 73.71/46.94 tff(27250,assumption,(~v90(constB182, bitIndex1)), introduced(assumption)).
% 73.71/46.94 tff(27251,assumption,(~v90(constB182, bitIndex2)), introduced(assumption)).
% 73.71/46.94 tff(27252,assumption,(~v100(constB182)), introduced(assumption)).
% 73.71/46.94 tff(27253,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27254,plain,
% 73.71/46.94 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)) <=> ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27255,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27254])).
% 73.71/46.94 tff(27256,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27255, 27253])).
% 73.71/46.94 tff(27257,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27258,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 73.71/46.94 tff(27259,plain,
% 73.71/46.94 ((~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27258, 662, 27082])).
% 73.71/46.94 tff(27260,plain,
% 73.71/46.94 (~v90(constB181, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27259, 27252, 27251])).
% 73.71/46.94 tff(27261,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27262,plain,
% 73.71/46.94 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1)) <=> ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27263,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27262])).
% 73.71/46.94 tff(27264,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27263, 27261])).
% 73.71/46.94 tff(27265,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27266,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27265, 27264])).
% 73.71/46.94 tff(27267,plain,
% 73.71/46.94 ((~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27266, 1038, 27082])).
% 73.71/46.94 tff(27268,plain,
% 73.71/46.94 (~v90(constB181, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27267, 27252, 27250])).
% 73.71/46.94 tff(27269,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27270,plain,
% 73.71/46.94 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0)) <=> ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27271,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0)))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27270])).
% 73.71/46.94 tff(27272,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27271, 27269])).
% 73.71/46.94 tff(27273,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27274,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 73.71/46.94 tff(27275,plain,
% 73.71/46.94 ((~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27274, 1461, 27082])).
% 73.71/46.94 tff(27276,plain,
% 73.71/46.94 (~v90(constB181, bitIndex0)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27275, 27252, 27249])).
% 73.71/46.94 tff(27277,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27278,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27279,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27278, 27277])).
% 73.71/46.94 tff(27280,plain,
% 73.71/46.94 (v119(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27279, 383, 27276, 27268, 27260])).
% 73.71/46.94 tff(27281,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB181) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB181) | (~v119(constB181)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27282,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB181) | (~v119(constB181)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27283,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB181) | (~v119(constB181))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27282, 27281])).
% 73.71/46.94 tff(27284,plain,
% 73.71/46.94 (v118(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27283, 394, 27280])).
% 73.71/46.94 tff(27285,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB181) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB181) | (~v118(constB181)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27286,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB181) | (~v118(constB181)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27287,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB181) | (~v118(constB181))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 73.71/46.94 tff(27288,plain,
% 73.71/46.94 (v117(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27287, 405, 27284])).
% 73.71/46.94 tff(27289,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB181) | (~v117(constB181)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB181) | (~v117(constB181)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27290,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB181) | (~v117(constB181)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27291,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB181) | (~v117(constB181))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27290, 27289])).
% 73.71/46.94 tff(27292,plain,
% 73.71/46.94 (v116(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27291, 416, 27288])).
% 73.71/46.94 tff(27293,plain,
% 73.71/46.94 (~v110(constB182)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27121, 27252])).
% 73.71/46.94 tff(27294,plain,
% 73.71/46.94 (~v108(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27089, 27293])).
% 73.71/46.94 tff(27295,plain,
% 73.71/46.94 (~v112(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27078, 475, 27294])).
% 73.71/46.94 tff(27296,plain,
% 73.71/46.94 (~v113(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27074, 27295])).
% 73.71/46.94 tff(27297,plain,
% 73.71/46.94 (~v114(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27065, 449, 27296])).
% 73.71/46.94 tff(27298,plain,
% 73.71/46.94 (~v115(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27061, 438, 27297])).
% 73.71/46.94 tff(27299,plain,
% 73.71/46.94 ($false),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27057, 427, 27298, 27292])).
% 73.71/46.94 tff(27300,plain,(v100(constB182) | v90(constB182, bitIndex2) | v90(constB182, bitIndex1) | v90(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.94 tff(27301,plain,
% 73.71/46.94 (v100(constB182)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27300, 27251, 27250, 27249])).
% 73.71/46.94 tff(27302,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27303,plain,
% 73.71/46.94 ((v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27304,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27303])).
% 73.71/46.94 tff(27305,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27304, 27302])).
% 73.71/46.94 tff(27306,plain,
% 73.71/46.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27307,plain,
% 73.71/46.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 73.71/46.94 tff(27308,plain,
% 73.71/46.94 ((~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27307, 626, 27251])).
% 73.71/46.94 tff(27309,plain,
% 73.71/46.94 (~v129(constB182, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27308, 27301])).
% 73.71/46.94 tff(27310,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27311,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27312,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 73.71/46.94 tff(27313,plain,
% 73.71/46.94 ((~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27312, 611, 27082])).
% 73.71/46.94 tff(27314,plain,
% 73.71/46.94 (~v127(constB181, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27313, 27309])).
% 73.71/46.94 tff(27315,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27316,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27317,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27316, 27315])).
% 73.71/46.94 tff(27318,plain,
% 73.71/46.94 ((~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27317, 596, 27070])).
% 73.71/46.94 tff(27319,plain,
% 73.71/46.94 (~v130(constB181, bitIndex2)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27318, 27314])).
% 73.71/46.94 tff(27320,plain,
% 73.71/46.94 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB181)) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB181)) | v130(constB181, bitIndex2))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27321,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB181)) | v130(constB181, bitIndex2))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27322,plain,
% 73.71/46.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB181)) | v130(constB181, bitIndex2)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27321, 27320])).
% 73.71/46.94 tff(27323,plain,
% 73.71/46.94 (~v119(constB181)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27322, 582, 27319])).
% 73.71/46.94 tff(27324,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27325,plain,
% 73.71/46.94 ((v90(constB182, bitIndex1) | (~v100(constB182)) | (~v129(constB182, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182)))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27326,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~v100(constB182)) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182))))),
% 73.71/46.94 inference(monotonicity,[status(thm)],[27325])).
% 73.71/46.94 tff(27327,plain,
% 73.71/46.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~v100(constB182)) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182)))),
% 73.71/46.94 inference(transitivity,[status(thm)],[27326, 27324])).
% 73.71/46.94 tff(27328,plain,
% 73.71/46.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~v100(constB182)) | (~v129(constB182, bitIndex1)))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27329,plain,
% 73.71/46.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~v129(constB182, bitIndex1)) | (~v100(constB182))),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27328, 27327])).
% 73.71/46.94 tff(27330,plain,
% 73.71/46.94 ((~v129(constB182, bitIndex1)) | (~v100(constB182))),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27329, 1020, 27250])).
% 73.71/46.94 tff(27331,plain,
% 73.71/46.94 (~v129(constB182, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27330, 27301])).
% 73.71/46.94 tff(27332,plain,
% 73.71/46.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex1)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex1)) | v129(constB182, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27333,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex1)) | v129(constB182, bitIndex1))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27334,plain,
% 73.71/46.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex1)) | v129(constB182, bitIndex1)),
% 73.71/46.94 inference(modus_ponens,[status(thm)],[27333, 27332])).
% 73.71/46.94 tff(27335,plain,
% 73.71/46.94 ((~v127(constB181, bitIndex1)) | v129(constB182, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27334, 1005, 27082])).
% 73.71/46.94 tff(27336,plain,
% 73.71/46.94 (~v127(constB181, bitIndex1)),
% 73.71/46.94 inference(unit_resolution,[status(thm)],[27335, 27331])).
% 73.71/46.94 tff(27337,plain,
% 73.71/46.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB181) | (~v130(constB181, bitIndex1)) | v127(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB181) | (~v130(constB181, bitIndex1)) | v127(constB181, bitIndex1))),
% 73.71/46.94 inference(rewrite,[status(thm)],[])).
% 73.71/46.94 tff(27338,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB181) | (~v130(constB181, bitIndex1)) | v127(constB181, bitIndex1))),
% 73.71/46.94 inference(quant_inst,[status(thm)],[])).
% 73.71/46.94 tff(27339,plain,
% 73.71/46.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB181) | (~v130(constB181, bitIndex1)) | v127(constB181, bitIndex1)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27338, 27337])).
% 73.71/46.95 tff(27340,plain,
% 73.71/46.95 ((~v130(constB181, bitIndex1)) | v127(constB181, bitIndex1)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27339, 990, 27070])).
% 73.71/46.95 tff(27341,plain,
% 73.71/46.95 (~v130(constB181, bitIndex1)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27340, 27336])).
% 73.71/46.95 tff(27342,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB181)) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB181)) | v130(constB181, bitIndex1))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27343,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB181)) | v130(constB181, bitIndex1))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27344,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB181)) | v130(constB181, bitIndex1)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 73.71/46.95 tff(27345,plain,
% 73.71/46.95 (~v120(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27344, 1649, 27341])).
% 73.71/46.95 tff(27346,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27347,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27348,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 73.71/46.95 tff(27349,plain,
% 73.71/46.95 (~v122(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27348, 2079, 27319])).
% 73.71/46.95 tff(27350,plain,
% 73.71/46.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27351,plain,
% 73.71/46.95 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27352,plain,
% 73.71/46.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))))),
% 73.71/46.95 inference(monotonicity,[status(thm)],[27351])).
% 73.71/46.95 tff(27353,plain,
% 73.71/46.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.71/46.95 inference(transitivity,[status(thm)],[27352, 27350])).
% 73.71/46.95 tff(27354,plain,
% 73.71/46.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27355,plain,
% 73.71/46.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27354, 27353])).
% 73.71/46.95 tff(27356,plain,
% 73.71/46.95 ((~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27355, 1443, 27249])).
% 73.71/46.95 tff(27357,plain,
% 73.71/46.95 (~v129(constB182, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27356, 27301])).
% 73.71/46.95 tff(27358,plain,
% 73.71/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27359,plain,
% 73.71/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27360,plain,
% 73.71/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27359, 27358])).
% 73.71/46.95 tff(27361,plain,
% 73.71/46.95 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27360, 1428, 27082])).
% 73.71/46.95 tff(27362,plain,
% 73.71/46.95 (~v127(constB181, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27361, 27357])).
% 73.71/46.95 tff(27363,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27364,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27365,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27364, 27363])).
% 73.71/46.95 tff(27366,plain,
% 73.71/46.95 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27365, 1413, 27070])).
% 73.71/46.95 tff(27367,plain,
% 73.71/46.95 (~v130(constB181, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27366, 27362])).
% 73.71/46.95 tff(27368,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB181)) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB181)) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27369,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB181)) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27370,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB181)) | v130(constB181, bitIndex0)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27369, 27368])).
% 73.71/46.95 tff(27371,plain,
% 73.71/46.95 (~v124(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27370, 3911, 27367])).
% 73.71/46.95 tff(27372,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB181)) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB181)) | v130(constB181, bitIndex1))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27373,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB181)) | v130(constB181, bitIndex1))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27374,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB181)) | v130(constB181, bitIndex1)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 73.71/46.95 tff(27375,plain,
% 73.71/46.95 (~v123(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27374, 976, 27341])).
% 73.71/46.95 tff(27376,assumption,(v121(constB181)), introduced(assumption)).
% 73.71/46.95 tff(27377,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB181) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB181) | (~v121(constB181)))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27378,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB181) | (~v121(constB181)))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27379,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB181) | (~v121(constB181))),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 73.71/46.95 tff(27380,plain,
% 73.71/46.95 (v117(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27379, 1775, 27376])).
% 73.71/46.95 tff(27381,plain,
% 73.71/46.95 (v116(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27291, 416, 27380])).
% 73.71/46.95 tff(27382,plain,
% 73.71/46.95 (v115(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27057, 427, 27381])).
% 73.71/46.95 tff(27383,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB181)) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB181)) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27384,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB181)) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27385,plain,
% 73.71/46.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB181)) | v130(constB181, bitIndex0)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27384, 27383])).
% 73.71/46.95 tff(27386,plain,
% 73.71/46.95 (v130(constB181, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27385, 1945, 27376])).
% 73.71/46.95 tff(27387,plain,
% 73.71/46.95 (v127(constB181, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27366, 27386])).
% 73.71/46.95 tff(27388,plain,
% 73.71/46.95 (v129(constB182, bitIndex0)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27361, 27387])).
% 73.71/46.95 tff(27389,plain,
% 73.71/46.95 (~v100(constB182)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27356, 27388])).
% 73.71/46.95 tff(27390,plain,
% 73.71/46.95 (~v110(constB182)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27121, 27389])).
% 73.71/46.95 tff(27391,plain,
% 73.71/46.95 (~v108(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27089, 27390])).
% 73.71/46.95 tff(27392,plain,
% 73.71/46.95 (~v112(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27078, 475, 27391])).
% 73.71/46.95 tff(27393,plain,
% 73.71/46.95 (~v113(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27074, 27392])).
% 73.71/46.95 tff(27394,plain,
% 73.71/46.95 (~v114(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27065, 449, 27393])).
% 73.71/46.95 tff(27395,plain,
% 73.71/46.95 ($false),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27061, 438, 27394, 27382])).
% 73.71/46.95 tff(27396,plain,((~v121(constB181)) | v90(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.95 tff(27397,plain,
% 73.71/46.95 (~v121(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27396, 27249])).
% 73.71/46.95 tff(27398,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27399,plain,
% 73.71/46.95 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)) <=> (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27400,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)))),
% 73.71/46.95 inference(monotonicity,[status(thm)],[27399])).
% 73.71/46.95 tff(27401,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(transitivity,[status(thm)],[27400, 27398])).
% 73.71/46.95 tff(27402,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27403,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 73.71/46.95 tff(27404,plain,
% 73.71/46.95 (v124(constB181) | v123(constB181) | v122(constB181) | v120(constB181) | v119(constB181)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27403, 1396, 27367, 27397])).
% 73.71/46.95 tff(27405,plain,
% 73.71/46.95 ($false),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27404, 27375, 27371, 27349, 27345, 27323])).
% 73.71/46.95 tff(27406,plain,(v90(constB182, bitIndex2) | v90(constB182, bitIndex1) | v90(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.95 tff(27407,plain,
% 73.71/46.95 ($false),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27406, 27248, 27235, 27222])).
% 73.71/46.95 tff(27408,plain,(~v119(constB183)), inference(lemma,lemma(discharge,[]))).
% 73.71/46.95 tff(27409,assumption,(~v90(constB183, bitIndex0)), introduced(assumption)).
% 73.71/46.95 tff(27410,assumption,(~v90(constB183, bitIndex1)), introduced(assumption)).
% 73.71/46.95 tff(27411,assumption,(~v119(constB183)), introduced(assumption)).
% 73.71/46.95 tff(27412,plain,
% 73.71/46.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB183, bitIndex0) | (~v120(constB183)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB183, bitIndex0) | (~v120(constB183)))),
% 73.71/46.95 inference(rewrite,[status(thm)],[])).
% 73.71/46.95 tff(27413,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB183, bitIndex0) | (~v120(constB183)))),
% 73.71/46.95 inference(quant_inst,[status(thm)],[])).
% 73.71/46.95 tff(27414,plain,
% 73.71/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB183, bitIndex0) | (~v120(constB183))),
% 73.71/46.95 inference(modus_ponens,[status(thm)],[27413, 27412])).
% 73.71/46.95 tff(27415,plain,
% 73.71/46.95 (~v120(constB183)),
% 73.71/46.95 inference(unit_resolution,[status(thm)],[27414, 4101, 27409])).
% 73.71/46.95 tff(27416,assumption,(~v120(constB183)), introduced(assumption)).
% 73.71/46.95 tff(27417,assumption,(~v90(constB183, bitIndex2)), introduced(assumption)).
% 73.71/46.95 tff(27418,plain,
% 73.71/46.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27419,plain,
% 73.80/46.95 (((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27420,plain,
% 73.80/46.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)))),
% 73.80/46.95 inference(monotonicity,[status(thm)],[27419])).
% 73.80/46.95 tff(27421,plain,
% 73.80/46.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.80/46.95 inference(transitivity,[status(thm)],[27420, 27418])).
% 73.80/46.95 tff(27422,plain,
% 73.80/46.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27423,plain,
% 73.80/46.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 73.80/46.95 tff(27424,plain,
% 73.80/46.95 ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v120(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27423, 1480, 27417])).
% 73.80/46.95 tff(27425,plain,
% 73.80/46.95 (~v90(constB183, bitIndex0)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27424, 27410, 27416])).
% 73.80/46.95 tff(27426,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27427,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27428,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27427, 27426])).
% 73.80/46.95 tff(27429,plain,
% 73.80/46.95 (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27428, 383, 27417])).
% 73.80/46.95 tff(27430,plain,
% 73.80/46.95 ($false),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27429, 27425, 27410, 27411])).
% 73.80/46.95 tff(27431,plain,(v90(constB183, bitIndex1) | v119(constB183) | v90(constB183, bitIndex2) | v120(constB183)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.95 tff(27432,plain,
% 73.80/46.95 (v90(constB183, bitIndex2)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27431, 27410, 27415, 27411])).
% 73.80/46.95 tff(27433,assumption,(~v123(constB183)), introduced(assumption)).
% 73.80/46.95 tff(27434,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27435,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27436,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 73.80/46.95 tff(27437,plain,
% 73.80/46.95 (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2))),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27436, 829, 27433])).
% 73.80/46.95 tff(27438,plain,
% 73.80/46.95 ($false),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27437, 27432, 27410, 27409])).
% 73.80/46.95 tff(27439,plain,(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | v123(constB183) | v119(constB183)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.95 tff(27440,plain,
% 73.80/46.95 (v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | v123(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27439, 27408])).
% 73.80/46.95 tff(27441,plain,
% 73.80/46.95 (v123(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27440, 27208, 27174])).
% 73.80/46.95 tff(27442,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27443,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27444,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 73.80/46.95 tff(27445,plain,
% 73.80/46.95 (v115(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27444, 840, 27441])).
% 73.80/46.95 tff(27446,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27447,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27448,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 73.80/46.95 tff(27449,plain,
% 73.80/46.95 (v114(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27448, 438, 27445])).
% 73.80/46.95 tff(27450,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27451,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27452,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27451, 27450])).
% 73.80/46.95 tff(27453,plain,
% 73.80/46.95 (v113(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27452, 449, 27449])).
% 73.80/46.95 tff(27454,assumption,(v26(constB183)), introduced(assumption)).
% 73.80/46.95 tff(27455,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27456,plain,
% 73.80/46.95 ($false),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27455, 26, 27454])).
% 73.80/46.95 tff(27457,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.95 tff(27458,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27459,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27460,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 73.80/46.95 tff(27461,plain,
% 73.80/46.95 ((~v113(constB183)) | v112(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27460, 463, 27457])).
% 73.80/46.95 tff(27462,plain,
% 73.80/46.95 (v112(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27461, 27453])).
% 73.80/46.95 tff(27463,plain,
% 73.80/46.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27464,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27465,plain,
% 73.80/46.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 73.80/46.95 tff(27466,plain,
% 73.80/46.95 (v108(constB183)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27465, 475, 27462])).
% 73.80/46.95 tff(27467,plain,
% 73.80/46.95 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27468,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 73.80/46.95 tff(27469,plain,
% 73.80/46.95 (nextState(constB183, constB184)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27468, 27467])).
% 73.80/46.95 tff(27470,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27471,plain,
% 73.80/46.95 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27472,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 73.80/46.95 inference(monotonicity,[status(thm)],[27471])).
% 73.80/46.95 tff(27473,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.80/46.95 inference(transitivity,[status(thm)],[27472, 27470])).
% 73.80/46.95 tff(27474,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27475,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 73.80/46.95 tff(27476,plain,
% 73.80/46.95 (v110(constB184) | (~v108(constB183))),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27475, 492, 27469])).
% 73.80/46.95 tff(27477,plain,
% 73.80/46.95 (v110(constB184)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27476, 27466])).
% 73.80/46.95 tff(27478,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27479,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27480,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27479, 27478])).
% 73.80/46.95 tff(27481,plain,
% 73.80/46.95 (~v104(constB184)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27480, 510, 27469, 27150])).
% 73.80/46.95 tff(27482,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27483,plain,
% 73.80/46.95 (((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27484,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)))),
% 73.80/46.95 inference(monotonicity,[status(thm)],[27483])).
% 73.80/46.95 tff(27485,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 73.80/46.95 inference(transitivity,[status(thm)],[27484, 27482])).
% 73.80/46.95 tff(27486,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27487,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 73.80/46.95 tff(27488,plain,
% 73.80/46.95 (v104(constB184) | v102(constB184)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27487, 524, 27469])).
% 73.80/46.95 tff(27489,plain,
% 73.80/46.95 (v102(constB184)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27488, 27481])).
% 73.80/46.95 tff(27490,plain,
% 73.80/46.95 (v1(constB184) <=> v1(constB184)),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27491,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 73.80/46.95 tff(27492,plain,
% 73.80/46.95 (v1(constB184)),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 73.80/46.95 tff(27493,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27494,plain,
% 73.80/46.95 (((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))) <=> ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27495,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))))),
% 73.80/46.95 inference(monotonicity,[status(thm)],[27494])).
% 73.80/46.95 tff(27496,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 73.80/46.95 inference(transitivity,[status(thm)],[27495, 27493])).
% 73.80/46.95 tff(27497,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 73.80/46.95 inference(quant_inst,[status(thm)],[])).
% 73.80/46.95 tff(27498,plain,
% 73.80/46.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))),
% 73.80/46.95 inference(modus_ponens,[status(thm)],[27497, 27496])).
% 73.80/46.95 tff(27499,plain,
% 73.80/46.95 (v101(constB184) | (~v102(constB184))),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27498, 545, 27469, 27492])).
% 73.80/46.95 tff(27500,plain,
% 73.80/46.95 (v101(constB184)),
% 73.80/46.95 inference(unit_resolution,[status(thm)],[27499, 27489])).
% 73.80/46.95 tff(27501,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27502,plain,
% 73.80/46.95 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.80/46.95 inference(rewrite,[status(thm)],[])).
% 73.80/46.95 tff(27503,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 73.80/46.95 inference(monotonicity,[status(thm)],[27502])).
% 73.80/46.95 tff(27504,plain,
% 73.80/46.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27503, 27501])).
% 73.80/46.96 tff(27505,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27506,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 73.80/46.96 tff(27507,plain,
% 73.80/46.96 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27506, 563, 27469])).
% 73.80/46.96 tff(27508,plain,
% 73.80/46.96 (v100(constB184) | (~v110(constB184))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27507, 27500])).
% 73.80/46.96 tff(27509,plain,
% 73.80/46.96 (v100(constB184)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27508, 27477])).
% 73.80/46.96 tff(27510,plain,
% 73.80/46.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27511,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27512,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27511, 27510])).
% 73.80/46.96 tff(27513,plain,
% 73.80/46.96 (v130(constB183, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27512, 917, 27441])).
% 73.80/46.96 tff(27514,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27515,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27516,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27515, 27514])).
% 73.80/46.96 tff(27517,plain,
% 73.80/46.96 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27516, 596, 27457])).
% 73.80/46.96 tff(27518,plain,
% 73.80/46.96 (v127(constB183, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27517, 27513])).
% 73.80/46.96 tff(27519,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27520,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27521,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27520, 27519])).
% 73.80/46.96 tff(27522,plain,
% 73.80/46.96 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27521, 611, 27469])).
% 73.80/46.96 tff(27523,plain,
% 73.80/46.96 (v129(constB184, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27522, 27518])).
% 73.80/46.96 tff(27524,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27525,plain,
% 73.80/46.96 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27526,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27525])).
% 73.80/46.96 tff(27527,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27526, 27524])).
% 73.80/46.96 tff(27528,plain,
% 73.80/46.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27529,plain,
% 73.80/46.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 73.80/46.96 tff(27530,plain,
% 73.80/46.96 (v90(constB184, bitIndex2) | (~v100(constB184))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27529, 626, 27523])).
% 73.80/46.96 tff(27531,plain,
% 73.80/46.96 (v90(constB184, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27530, 27509])).
% 73.80/46.96 tff(27532,plain,
% 73.80/46.96 ((~v1(constB185)) <=> (~v1(constB185))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27533,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 73.80/46.96 tff(27534,plain,
% 73.80/46.96 (~v1(constB185)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27533, 27532])).
% 73.80/46.96 tff(27535,plain,
% 73.80/46.96 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27536,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 73.80/46.96 tff(27537,plain,
% 73.80/46.96 (nextState(constB184, constB185)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27536, 27535])).
% 73.80/46.96 tff(27538,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27539,plain,
% 73.80/46.96 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27540,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27539])).
% 73.80/46.96 tff(27541,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27540, 27538])).
% 73.80/46.96 tff(27542,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27543,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 73.80/46.96 tff(27544,plain,
% 73.80/46.96 (~v101(constB185)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27543, 288, 27537, 27534])).
% 73.80/46.96 tff(27545,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27546,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27547,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 73.80/46.96 tff(27548,plain,
% 73.80/46.96 (v101(constB185) | (~v100(constB185))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27547, 305, 27537])).
% 73.80/46.96 tff(27549,plain,
% 73.80/46.96 (~v100(constB185)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27548, 27544])).
% 73.80/46.96 tff(27550,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27551,plain,
% 73.80/46.96 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27552,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27551])).
% 73.80/46.96 tff(27553,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27552, 27550])).
% 73.80/46.96 tff(27554,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27555,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 73.80/46.96 tff(27556,plain,
% 73.80/46.96 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27555, 662, 27537])).
% 73.80/46.96 tff(27557,plain,
% 73.80/46.96 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27556, 27549])).
% 73.80/46.96 tff(27558,plain,
% 73.80/46.96 (v90(constB185, bitIndex2)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27557, 27531])).
% 73.80/46.96 tff(27559,plain,
% 73.80/46.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27560,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27561,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27560, 27559])).
% 73.80/46.96 tff(27562,plain,
% 73.80/46.96 (v130(constB183, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27561, 976, 27441])).
% 73.80/46.96 tff(27563,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27564,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27565,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27564, 27563])).
% 73.80/46.96 tff(27566,plain,
% 73.80/46.96 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27565, 990, 27457])).
% 73.80/46.96 tff(27567,plain,
% 73.80/46.96 (v127(constB183, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27566, 27562])).
% 73.80/46.96 tff(27568,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27569,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27570,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27569, 27568])).
% 73.80/46.96 tff(27571,plain,
% 73.80/46.96 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27570, 1005, 27469])).
% 73.80/46.96 tff(27572,plain,
% 73.80/46.96 (v129(constB184, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27571, 27567])).
% 73.80/46.96 tff(27573,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27574,plain,
% 73.80/46.96 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27575,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27574])).
% 73.80/46.96 tff(27576,plain,
% 73.80/46.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27575, 27573])).
% 73.80/46.96 tff(27577,plain,
% 73.80/46.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27578,plain,
% 73.80/46.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27577, 27576])).
% 73.80/46.96 tff(27579,plain,
% 73.80/46.96 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27578, 1020, 27572])).
% 73.80/46.96 tff(27580,plain,
% 73.80/46.96 (v90(constB184, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27579, 27509])).
% 73.80/46.96 tff(27581,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27582,plain,
% 73.80/46.96 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27583,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27582])).
% 73.80/46.96 tff(27584,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27583, 27581])).
% 73.80/46.96 tff(27585,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27586,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27585, 27584])).
% 73.80/46.96 tff(27587,plain,
% 73.80/46.96 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27586, 1038, 27537])).
% 73.80/46.96 tff(27588,plain,
% 73.80/46.96 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27587, 27549])).
% 73.80/46.96 tff(27589,plain,
% 73.80/46.96 (v90(constB185, bitIndex1)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27588, 27580])).
% 73.80/46.96 tff(27590,plain,
% 73.80/46.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27591,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27592,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27591, 27590])).
% 73.80/46.96 tff(27593,plain,
% 73.80/46.96 (~v130(constB183, bitIndex0)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27592, 1057, 27441])).
% 73.80/46.96 tff(27594,assumption,(v127(constB183, bitIndex0)), introduced(assumption)).
% 73.80/46.96 tff(27595,assumption,(~v130(constB183, bitIndex0)), introduced(assumption)).
% 73.80/46.96 tff(27596,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27597,plain,
% 73.80/46.96 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27598,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27597])).
% 73.80/46.96 tff(27599,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27598, 27596])).
% 73.80/46.96 tff(27600,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27601,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 73.80/46.96 tff(27602,plain,
% 73.80/46.96 ((~v127(constB183, bitIndex0)) | v26(constB183)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27601, 769, 27595])).
% 73.80/46.96 tff(27603,plain,
% 73.80/46.96 (v26(constB183)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27602, 27594])).
% 73.80/46.96 tff(27604,plain,
% 73.80/46.96 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27605,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27606,plain,
% 73.80/46.96 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 73.80/46.96 tff(27607,plain,
% 73.80/46.96 ($false),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27606, 3193, 27594, 27603])).
% 73.80/46.96 tff(27608,plain,((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.96 tff(27609,plain,
% 73.80/46.96 (~v127(constB183, bitIndex0)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27608, 27593])).
% 73.80/46.96 tff(27610,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27611,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27612,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27611, 27610])).
% 73.80/46.96 tff(27613,plain,
% 73.80/46.96 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27612, 787, 27469])).
% 73.80/46.96 tff(27614,plain,
% 73.80/46.96 (~v129(constB184, bitIndex0)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27613, 27609])).
% 73.80/46.96 tff(27615,plain,
% 73.80/46.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27616,plain,
% 73.80/46.96 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27617,plain,
% 73.80/46.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27616])).
% 73.80/46.96 tff(27618,plain,
% 73.80/46.96 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27617, 27615])).
% 73.80/46.96 tff(27619,plain,
% 73.80/46.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27620,plain,
% 73.80/46.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27619, 27618])).
% 73.80/46.96 tff(27621,plain,
% 73.80/46.96 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27620, 802, 27614])).
% 73.80/46.96 tff(27622,plain,
% 73.80/46.96 (~v90(constB184, bitIndex0)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27621, 27509])).
% 73.80/46.96 tff(27623,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27624,plain,
% 73.80/46.96 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27625,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 73.80/46.96 inference(monotonicity,[status(thm)],[27624])).
% 73.80/46.96 tff(27626,plain,
% 73.80/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.80/46.96 inference(transitivity,[status(thm)],[27625, 27623])).
% 73.80/46.96 tff(27627,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27628,plain,
% 73.80/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27627, 27626])).
% 73.80/46.96 tff(27629,plain,
% 73.80/46.96 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27628, 362, 27537])).
% 73.80/46.96 tff(27630,plain,
% 73.80/46.96 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27629, 27549])).
% 73.80/46.96 tff(27631,plain,
% 73.80/46.96 (~v90(constB185, bitIndex0)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27630, 27622])).
% 73.80/46.96 tff(27632,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27633,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27634,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 73.80/46.96 tff(27635,plain,
% 73.80/46.96 (v125(constB185)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27634, 1101, 27631, 27589, 27558])).
% 73.80/46.96 tff(27636,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27637,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27638,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185))),
% 73.80/46.96 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 73.80/46.96 tff(27639,plain,
% 73.80/46.96 (v113(constB185)),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27638, 1112, 27635])).
% 73.80/46.96 tff(27640,assumption,(v26(constB185)), introduced(assumption)).
% 73.80/46.96 tff(27641,plain,
% 73.80/46.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 73.80/46.96 inference(quant_inst,[status(thm)],[])).
% 73.80/46.96 tff(27642,plain,
% 73.80/46.96 ($false),
% 73.80/46.96 inference(unit_resolution,[status(thm)],[27641, 26, 27640])).
% 73.80/46.96 tff(27643,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.96 tff(27644,plain,
% 73.80/46.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 73.80/46.96 inference(rewrite,[status(thm)],[])).
% 73.80/46.96 tff(27645,plain,
% 73.80/46.96 ((v26(constB185) | (~v113(constB185)) | v112(constB185)) <=> (v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27646,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27645])).
% 73.80/46.97 tff(27647,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27646, 27644])).
% 73.80/46.97 tff(27648,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27649,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 73.80/46.97 tff(27650,plain,
% 73.80/46.97 (v112(constB185) | (~v113(constB185))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27649, 463, 27643])).
% 73.80/46.97 tff(27651,plain,
% 73.80/46.97 (v112(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27650, 27639])).
% 73.80/46.97 tff(27652,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27653,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27654,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 73.80/46.97 tff(27655,plain,
% 73.80/46.97 (v108(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27654, 475, 27651])).
% 73.80/46.97 tff(27656,plain,
% 73.80/46.97 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27657,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 73.80/46.97 tff(27658,plain,
% 73.80/46.97 (nextState(constB185, constB186)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 73.80/46.97 tff(27659,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27660,plain,
% 73.80/46.97 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27661,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27660])).
% 73.80/46.97 tff(27662,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27661, 27659])).
% 73.80/46.97 tff(27663,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27664,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27663, 27662])).
% 73.80/46.97 tff(27665,plain,
% 73.80/46.97 (v110(constB186) | (~v108(constB185))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27664, 492, 27658])).
% 73.80/46.97 tff(27666,plain,
% 73.80/46.97 (v110(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27665, 27655])).
% 73.80/46.97 tff(27667,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27668,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27669,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27668, 27667])).
% 73.80/46.97 tff(27670,plain,
% 73.80/46.97 (~v104(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27669, 510, 27658, 27534])).
% 73.80/46.97 tff(27671,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27672,plain,
% 73.80/46.97 (((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27673,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27672])).
% 73.80/46.97 tff(27674,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27673, 27671])).
% 73.80/46.97 tff(27675,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27676,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27675, 27674])).
% 73.80/46.97 tff(27677,plain,
% 73.80/46.97 (v104(constB186) | v102(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27676, 524, 27658])).
% 73.80/46.97 tff(27678,plain,
% 73.80/46.97 (v102(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27677, 27670])).
% 73.80/46.97 tff(27679,plain,
% 73.80/46.97 (v1(constB186) <=> v1(constB186)),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27680,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 73.80/46.97 tff(27681,plain,
% 73.80/46.97 (v1(constB186)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 73.80/46.97 tff(27682,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27683,plain,
% 73.80/46.97 (((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))) <=> ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27684,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27683])).
% 73.80/46.97 tff(27685,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27684, 27682])).
% 73.80/46.97 tff(27686,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27687,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 73.80/46.97 tff(27688,plain,
% 73.80/46.97 (v101(constB186) | (~v102(constB186))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27687, 545, 27658, 27681])).
% 73.80/46.97 tff(27689,plain,
% 73.80/46.97 (v101(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27688, 27678])).
% 73.80/46.97 tff(27690,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27691,plain,
% 73.80/46.97 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27692,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27691])).
% 73.80/46.97 tff(27693,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27692, 27690])).
% 73.80/46.97 tff(27694,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27695,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27694, 27693])).
% 73.80/46.97 tff(27696,plain,
% 73.80/46.97 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27695, 563, 27658])).
% 73.80/46.97 tff(27697,plain,
% 73.80/46.97 (v100(constB186) | (~v110(constB186))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27696, 27689])).
% 73.80/46.97 tff(27698,plain,
% 73.80/46.97 (v100(constB186)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27697, 27666])).
% 73.80/46.97 tff(27699,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v122(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v122(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27700,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v122(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27701,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v122(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 73.80/46.97 tff(27702,plain,
% 73.80/46.97 (~v122(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27701, 1193, 27558])).
% 73.80/46.97 tff(27703,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27704,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27705,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 73.80/46.97 tff(27706,plain,
% 73.80/46.97 (~v119(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27705, 1207, 27589])).
% 73.80/46.97 tff(27707,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27708,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27709,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 73.80/46.97 tff(27710,plain,
% 73.80/46.97 (~v120(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27709, 1240, 27589])).
% 73.80/46.97 tff(27711,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v123(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v123(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27712,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v123(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27713,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v123(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 73.80/46.97 tff(27714,plain,
% 73.80/46.97 (~v123(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27713, 1218, 27589])).
% 73.80/46.97 tff(27715,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27716,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27717,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 73.80/46.97 tff(27718,plain,
% 73.80/46.97 (~v124(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27717, 1229, 27589])).
% 73.80/46.97 tff(27719,plain,
% 73.80/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v121(constB185)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27720,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v121(constB185)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27721,plain,
% 73.80/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v121(constB185))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27720, 27719])).
% 73.80/46.97 tff(27722,plain,
% 73.80/46.97 (~v121(constB185)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27721, 1182, 27558])).
% 73.80/46.97 tff(27723,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27724,plain,
% 73.80/46.97 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))) <=> ((~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27725,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27724])).
% 73.80/46.97 tff(27726,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27725, 27723])).
% 73.80/46.97 tff(27727,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27728,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB185, bitIndex2)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 73.80/46.97 tff(27729,plain,
% 73.80/46.97 (~v130(constB185, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27728, 1254, 27722, 27718, 27714, 27710, 27706, 27702])).
% 73.80/46.97 tff(27730,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27731,plain,
% 73.80/46.97 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27732,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27731])).
% 73.80/46.97 tff(27733,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27732, 27730])).
% 73.80/46.97 tff(27734,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27735,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27734, 27733])).
% 73.80/46.97 tff(27736,plain,
% 73.80/46.97 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27735, 1271, 27643])).
% 73.80/46.97 tff(27737,plain,
% 73.80/46.97 (~v127(constB185, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27736, 27729])).
% 73.80/46.97 tff(27738,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27739,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27740,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 73.80/46.97 tff(27741,plain,
% 73.80/46.97 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27740, 1289, 27658])).
% 73.80/46.97 tff(27742,plain,
% 73.80/46.97 (~v129(constB186, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27741, 27737])).
% 73.80/46.97 tff(27743,plain,
% 73.80/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27744,plain,
% 73.80/46.97 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27745,plain,
% 73.80/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27744])).
% 73.80/46.97 tff(27746,plain,
% 73.80/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27745, 27743])).
% 73.80/46.97 tff(27747,plain,
% 73.80/46.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27748,plain,
% 73.80/46.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 73.80/46.97 tff(27749,plain,
% 73.80/46.97 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27748, 1304, 27742])).
% 73.80/46.97 tff(27750,plain,
% 73.80/46.97 (~v90(constB186, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27749, 27698])).
% 73.80/46.97 tff(27751,plain,
% 73.80/46.97 ((~v1(constB187)) <=> (~v1(constB187))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27752,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 73.80/46.97 tff(27753,plain,
% 73.80/46.97 (~v1(constB187)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27752, 27751])).
% 73.80/46.97 tff(27754,plain,
% 73.80/46.97 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27755,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 73.80/46.97 tff(27756,plain,
% 73.80/46.97 (nextState(constB186, constB187)),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 73.80/46.97 tff(27757,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27758,plain,
% 73.80/46.97 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27759,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27758])).
% 73.80/46.97 tff(27760,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27759, 27757])).
% 73.80/46.97 tff(27761,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27762,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27761, 27760])).
% 73.80/46.97 tff(27763,plain,
% 73.80/46.97 (~v101(constB187)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27762, 288, 27756, 27753])).
% 73.80/46.97 tff(27764,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27765,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27766,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27765, 27764])).
% 73.80/46.97 tff(27767,plain,
% 73.80/46.97 (v101(constB187) | (~v100(constB187))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27766, 305, 27756])).
% 73.80/46.97 tff(27768,plain,
% 73.80/46.97 (~v100(constB187)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27767, 27763])).
% 73.80/46.97 tff(27769,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27770,plain,
% 73.80/46.97 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27771,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27770])).
% 73.80/46.97 tff(27772,plain,
% 73.80/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27771, 27769])).
% 73.80/46.97 tff(27773,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27774,plain,
% 73.80/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 73.80/46.97 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 73.80/46.97 tff(27775,plain,
% 73.80/46.97 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27774, 320, 27756])).
% 73.80/46.97 tff(27776,plain,
% 73.80/46.97 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27775, 27768])).
% 73.80/46.97 tff(27777,plain,
% 73.80/46.97 (~v90(constB187, bitIndex2)),
% 73.80/46.97 inference(unit_resolution,[status(thm)],[27776, 27750])).
% 73.80/46.97 tff(27778,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27779,plain,
% 73.80/46.97 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))) <=> ((~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(rewrite,[status(thm)],[])).
% 73.80/46.97 tff(27780,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)))),
% 73.80/46.97 inference(monotonicity,[status(thm)],[27779])).
% 73.80/46.97 tff(27781,plain,
% 73.80/46.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.97 inference(transitivity,[status(thm)],[27780, 27778])).
% 73.80/46.97 tff(27782,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 73.80/46.97 inference(quant_inst,[status(thm)],[])).
% 73.80/46.97 tff(27783,plain,
% 73.80/46.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB185, bitIndex1)) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27782, 27781])).
% 73.80/46.98 tff(27784,plain,
% 73.80/46.98 (~v130(constB185, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27783, 1349, 27722, 27718, 27714, 27710, 27706, 27702])).
% 73.80/46.98 tff(27785,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27786,plain,
% 73.80/46.98 ((v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1))) <=> ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27787,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)))),
% 73.80/46.98 inference(monotonicity,[status(thm)],[27786])).
% 73.80/46.98 tff(27788,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 73.80/46.98 inference(transitivity,[status(thm)],[27787, 27785])).
% 73.80/46.98 tff(27789,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27790,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 73.80/46.98 tff(27791,plain,
% 73.80/46.98 ((~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27790, 695, 27643])).
% 73.80/46.98 tff(27792,plain,
% 73.80/46.98 (~v127(constB185, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27791, 27784])).
% 73.80/46.98 tff(27793,plain,
% 73.80/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27794,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27795,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27794, 27793])).
% 73.80/46.98 tff(27796,plain,
% 73.80/46.98 (v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27795, 713, 27658])).
% 73.80/46.98 tff(27797,plain,
% 73.80/46.98 (~v129(constB186, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27796, 27792])).
% 73.80/46.98 tff(27798,plain,
% 73.80/46.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27799,plain,
% 73.80/46.98 (((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27800,plain,
% 73.80/46.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))))),
% 73.80/46.98 inference(monotonicity,[status(thm)],[27799])).
% 73.80/46.98 tff(27801,plain,
% 73.80/46.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 73.80/46.98 inference(transitivity,[status(thm)],[27800, 27798])).
% 73.80/46.98 tff(27802,plain,
% 73.80/46.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27803,plain,
% 73.80/46.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 73.80/46.98 tff(27804,plain,
% 73.80/46.98 ((~v90(constB186, bitIndex1)) | (~v100(constB186))),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27803, 728, 27797])).
% 73.80/46.98 tff(27805,plain,
% 73.80/46.98 (~v90(constB186, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27804, 27698])).
% 73.80/46.98 tff(27806,plain,
% 73.80/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27807,plain,
% 73.80/46.98 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27808,plain,
% 73.80/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))))),
% 73.80/46.98 inference(monotonicity,[status(thm)],[27807])).
% 73.80/46.98 tff(27809,plain,
% 73.80/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 73.80/46.98 inference(transitivity,[status(thm)],[27808, 27806])).
% 73.80/46.98 tff(27810,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27811,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27810, 27809])).
% 73.80/46.98 tff(27812,plain,
% 73.80/46.98 (v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27811, 341, 27756])).
% 73.80/46.98 tff(27813,plain,
% 73.80/46.98 (v90(constB186, bitIndex1) | (~v90(constB187, bitIndex1))),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27812, 27768])).
% 73.80/46.98 tff(27814,plain,
% 73.80/46.98 (~v90(constB187, bitIndex1)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27813, 27805])).
% 73.80/46.98 tff(27815,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27816,plain,
% 73.80/46.98 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)) <=> (v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27817,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)))),
% 73.80/46.98 inference(monotonicity,[status(thm)],[27816])).
% 73.80/46.98 tff(27818,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185))),
% 73.80/46.98 inference(transitivity,[status(thm)],[27817, 27815])).
% 73.80/46.98 tff(27819,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27820,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v119(constB185) | v120(constB185) | v124(constB185) | v122(constB185) | v121(constB185) | v123(constB185)),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27819, 27818])).
% 73.80/46.98 tff(27821,plain,
% 73.80/46.98 (v130(constB185, bitIndex0)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27820, 1396, 27722, 27718, 27714, 27710, 27706, 27702])).
% 73.80/46.98 tff(27822,plain,
% 73.80/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27823,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27824,plain,
% 73.80/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 73.80/46.98 tff(27825,plain,
% 73.80/46.98 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27824, 1413, 27643])).
% 73.80/46.98 tff(27826,plain,
% 73.80/46.98 (v127(constB185, bitIndex0)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27825, 27821])).
% 73.80/46.98 tff(27827,plain,
% 73.80/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 73.80/46.98 inference(rewrite,[status(thm)],[])).
% 73.80/46.98 tff(27828,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 73.80/46.98 inference(quant_inst,[status(thm)],[])).
% 73.80/46.98 tff(27829,plain,
% 73.80/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 73.80/46.98 inference(modus_ponens,[status(thm)],[27828, 27827])).
% 73.80/46.98 tff(27830,plain,
% 73.80/46.98 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27829, 1428, 27658])).
% 73.80/46.98 tff(27831,plain,
% 73.80/46.98 (v129(constB186, bitIndex0)),
% 73.80/46.98 inference(unit_resolution,[status(thm)],[27830, 27826])).
% 73.80/46.98 tff(27832,plain,
% 73.80/46.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27833,plain,
% 73.83/46.98 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27834,plain,
% 73.83/46.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27833])).
% 73.83/46.98 tff(27835,plain,
% 73.83/46.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27834, 27832])).
% 73.83/46.98 tff(27836,plain,
% 73.83/46.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27837,plain,
% 73.83/46.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27836, 27835])).
% 73.83/46.98 tff(27838,plain,
% 73.83/46.98 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27837, 1443, 27831])).
% 73.83/46.98 tff(27839,plain,
% 73.83/46.98 (v90(constB186, bitIndex0)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27838, 27698])).
% 73.83/46.98 tff(27840,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27841,plain,
% 73.83/46.98 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27842,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27841])).
% 73.83/46.98 tff(27843,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27842, 27840])).
% 73.83/46.98 tff(27844,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27845,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 73.83/46.98 tff(27846,plain,
% 73.83/46.98 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27845, 1461, 27756])).
% 73.83/46.98 tff(27847,plain,
% 73.83/46.98 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27846, 27768])).
% 73.83/46.98 tff(27848,plain,
% 73.83/46.98 (v90(constB187, bitIndex0)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27847, 27839])).
% 73.83/46.98 tff(27849,plain,
% 73.83/46.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27850,plain,
% 73.83/46.98 (((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2)) <=> ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27851,plain,
% 73.83/46.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27850])).
% 73.83/46.98 tff(27852,plain,
% 73.83/46.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27851, 27849])).
% 73.83/46.98 tff(27853,plain,
% 73.83/46.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27854,plain,
% 73.83/46.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27853, 27852])).
% 73.83/46.98 tff(27855,plain,
% 73.83/46.98 (v120(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27854, 1480, 27848, 27814, 27777])).
% 73.83/46.98 tff(27856,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB187) | (~v120(constB187)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB187) | (~v120(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27857,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB187) | (~v120(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27858,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB187) | (~v120(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27857, 27856])).
% 73.83/46.98 tff(27859,plain,
% 73.83/46.98 (v118(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27858, 1494, 27855])).
% 73.83/46.98 tff(27860,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB187) | (~v118(constB187)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB187) | (~v118(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27861,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB187) | (~v118(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27862,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB187) | (~v118(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 73.83/46.98 tff(27863,plain,
% 73.83/46.98 (v117(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27862, 405, 27859])).
% 73.83/46.98 tff(27864,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB187) | (~v117(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB187) | (~v117(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27865,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB187) | (~v117(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27866,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB187) | (~v117(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 73.83/46.98 tff(27867,plain,
% 73.83/46.98 (v116(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27866, 416, 27863])).
% 73.83/46.98 tff(27868,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27869,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27870,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 73.83/46.98 tff(27871,plain,
% 73.83/46.98 (v115(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27870, 427, 27867])).
% 73.83/46.98 tff(27872,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27873,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27874,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27873, 27872])).
% 73.83/46.98 tff(27875,plain,
% 73.83/46.98 (v114(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27874, 438, 27871])).
% 73.83/46.98 tff(27876,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27877,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27878,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 73.83/46.98 tff(27879,plain,
% 73.83/46.98 (v113(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27878, 449, 27875])).
% 73.83/46.98 tff(27880,assumption,(v26(constB187)), introduced(assumption)).
% 73.83/46.98 tff(27881,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27882,plain,
% 73.83/46.98 ($false),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27881, 26, 27880])).
% 73.83/46.98 tff(27883,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 73.83/46.98 tff(27884,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27885,plain,
% 73.83/46.98 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27886,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27885])).
% 73.83/46.98 tff(27887,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27886, 27884])).
% 73.83/46.98 tff(27888,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27889,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 73.83/46.98 tff(27890,plain,
% 73.83/46.98 (v112(constB187) | (~v113(constB187))),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27889, 463, 27883])).
% 73.83/46.98 tff(27891,plain,
% 73.83/46.98 (v112(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27890, 27879])).
% 73.83/46.98 tff(27892,plain,
% 73.83/46.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27893,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27894,plain,
% 73.83/46.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27893, 27892])).
% 73.83/46.98 tff(27895,plain,
% 73.83/46.98 (v108(constB187)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27894, 475, 27891])).
% 73.83/46.98 tff(27896,plain,
% 73.83/46.98 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27897,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 73.83/46.98 tff(27898,plain,
% 73.83/46.98 (nextState(constB187, constB188)),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27897, 27896])).
% 73.83/46.98 tff(27899,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27900,plain,
% 73.83/46.98 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27901,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27900])).
% 73.83/46.98 tff(27902,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27901, 27899])).
% 73.83/46.98 tff(27903,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27904,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 73.83/46.98 tff(27905,plain,
% 73.83/46.98 (v110(constB188) | (~v108(constB187))),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27904, 492, 27898])).
% 73.83/46.98 tff(27906,plain,
% 73.83/46.98 (v110(constB188)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27905, 27895])).
% 73.83/46.98 tff(27907,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27908,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27909,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27908, 27907])).
% 73.83/46.98 tff(27910,plain,
% 73.83/46.98 (~v104(constB188)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27909, 510, 27898, 27753])).
% 73.83/46.98 tff(27911,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27912,plain,
% 73.83/46.98 (((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27913,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)))),
% 73.83/46.98 inference(monotonicity,[status(thm)],[27912])).
% 73.83/46.98 tff(27914,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 73.83/46.98 inference(transitivity,[status(thm)],[27913, 27911])).
% 73.83/46.98 tff(27915,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 73.83/46.98 inference(quant_inst,[status(thm)],[])).
% 73.83/46.98 tff(27916,plain,
% 73.83/46.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27915, 27914])).
% 73.83/46.98 tff(27917,plain,
% 73.83/46.98 (v104(constB188) | v102(constB188)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27916, 524, 27898])).
% 73.83/46.98 tff(27918,plain,
% 73.83/46.98 (v102(constB188)),
% 73.83/46.98 inference(unit_resolution,[status(thm)],[27917, 27910])).
% 73.83/46.98 tff(27919,plain,
% 73.83/46.98 (v1(constB188) <=> v1(constB188)),
% 73.83/46.98 inference(rewrite,[status(thm)],[])).
% 73.83/46.98 tff(27920,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 73.83/46.98 tff(27921,plain,
% 73.83/46.98 (v1(constB188)),
% 73.83/46.98 inference(modus_ponens,[status(thm)],[27920, 27919])).
% 73.83/46.98 tff(27922,plain,
% 73.83/46.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27923,plain,
% 73.83/46.99 (((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))) <=> ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27924,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27923])).
% 73.83/46.99 tff(27925,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27924, 27922])).
% 73.83/46.99 tff(27926,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27927,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 73.83/46.99 tff(27928,plain,
% 73.83/46.99 (v101(constB188) | (~v102(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27927, 545, 27898, 27921])).
% 73.83/46.99 tff(27929,plain,
% 73.83/46.99 (v101(constB188)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27928, 27918])).
% 73.83/46.99 tff(27930,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27931,plain,
% 73.83/46.99 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27932,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27931])).
% 73.83/46.99 tff(27933,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27932, 27930])).
% 73.83/46.99 tff(27934,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27935,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27934, 27933])).
% 73.83/46.99 tff(27936,plain,
% 73.83/46.99 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27935, 563, 27898])).
% 73.83/46.99 tff(27937,plain,
% 73.83/46.99 (v100(constB188) | (~v110(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27936, 27929])).
% 73.83/46.99 tff(27938,plain,
% 73.83/46.99 (v100(constB188)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27937, 27906])).
% 73.83/46.99 tff(27939,plain,
% 73.83/46.99 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27940,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27941,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 73.83/46.99 tff(27942,plain,
% 73.83/46.99 (~v130(constB187, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27941, 1587, 27855])).
% 73.83/46.99 tff(27943,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27944,plain,
% 73.83/46.99 ((v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2))) <=> ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27945,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27944])).
% 73.83/46.99 tff(27946,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27945, 27943])).
% 73.83/46.99 tff(27947,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27948,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 73.83/46.99 tff(27949,plain,
% 73.83/46.99 ((~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27948, 1271, 27883])).
% 73.83/46.99 tff(27950,plain,
% 73.83/46.99 (~v127(constB187, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27949, 27942])).
% 73.83/46.99 tff(27951,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27952,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27953,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27952, 27951])).
% 73.83/46.99 tff(27954,plain,
% 73.83/46.99 (v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27953, 1289, 27898])).
% 73.83/46.99 tff(27955,plain,
% 73.83/46.99 (~v129(constB188, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27954, 27950])).
% 73.83/46.99 tff(27956,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27957,plain,
% 73.83/46.99 (((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27958,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27957])).
% 73.83/46.99 tff(27959,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27958, 27956])).
% 73.83/46.99 tff(27960,plain,
% 73.83/46.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27961,plain,
% 73.83/46.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 73.83/46.99 tff(27962,plain,
% 73.83/46.99 ((~v90(constB188, bitIndex2)) | (~v100(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27961, 1304, 27955])).
% 73.83/46.99 tff(27963,plain,
% 73.83/46.99 (~v90(constB188, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27962, 27938])).
% 73.83/46.99 tff(27964,plain,
% 73.83/46.99 ((~v1(constB189)) <=> (~v1(constB189))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27965,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 73.83/46.99 tff(27966,plain,
% 73.83/46.99 (~v1(constB189)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27965, 27964])).
% 73.83/46.99 tff(27967,plain,
% 73.83/46.99 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27968,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 73.83/46.99 tff(27969,plain,
% 73.83/46.99 (nextState(constB188, constB189)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 73.83/46.99 tff(27970,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27971,plain,
% 73.83/46.99 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27972,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27971])).
% 73.83/46.99 tff(27973,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27972, 27970])).
% 73.83/46.99 tff(27974,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27975,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27974, 27973])).
% 73.83/46.99 tff(27976,plain,
% 73.83/46.99 (~v101(constB189)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27975, 288, 27969, 27966])).
% 73.83/46.99 tff(27977,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27978,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27979,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27978, 27977])).
% 73.83/46.99 tff(27980,plain,
% 73.83/46.99 (v101(constB189) | (~v100(constB189))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27979, 305, 27969])).
% 73.83/46.99 tff(27981,plain,
% 73.83/46.99 (~v100(constB189)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27980, 27976])).
% 73.83/46.99 tff(27982,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27983,plain,
% 73.83/46.99 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27984,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[27983])).
% 73.83/46.99 tff(27985,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[27984, 27982])).
% 73.83/46.99 tff(27986,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27987,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 73.83/46.99 tff(27988,plain,
% 73.83/46.99 (v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27987, 320, 27969])).
% 73.83/46.99 tff(27989,plain,
% 73.83/46.99 (v90(constB188, bitIndex2) | (~v90(constB189, bitIndex2))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27988, 27981])).
% 73.83/46.99 tff(27990,plain,
% 73.83/46.99 (~v90(constB189, bitIndex2)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27989, 27963])).
% 73.83/46.99 tff(27991,plain,
% 73.83/46.99 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27992,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27993,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27992, 27991])).
% 73.83/46.99 tff(27994,plain,
% 73.83/46.99 (v130(constB187, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27993, 1649, 27855])).
% 73.83/46.99 tff(27995,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(27996,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(27997,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 73.83/46.99 tff(27998,plain,
% 73.83/46.99 ((~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27997, 990, 27883])).
% 73.83/46.99 tff(27999,plain,
% 73.83/46.99 (v127(constB187, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[27998, 27994])).
% 73.83/46.99 tff(28000,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28001,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28002,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 73.83/46.99 tff(28003,plain,
% 73.83/46.99 ((~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28002, 1005, 27898])).
% 73.83/46.99 tff(28004,plain,
% 73.83/46.99 (v129(constB188, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28003, 27999])).
% 73.83/46.99 tff(28005,plain,
% 73.83/46.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28006,plain,
% 73.83/46.99 ((v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28007,plain,
% 73.83/46.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[28006])).
% 73.83/46.99 tff(28008,plain,
% 73.83/46.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[28007, 28005])).
% 73.83/46.99 tff(28009,plain,
% 73.83/46.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28010,plain,
% 73.83/46.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 73.83/46.99 tff(28011,plain,
% 73.83/46.99 (v90(constB188, bitIndex1) | (~v100(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28010, 1020, 28004])).
% 73.83/46.99 tff(28012,plain,
% 73.83/46.99 (v90(constB188, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28011, 27938])).
% 73.83/46.99 tff(28013,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28014,plain,
% 73.83/46.99 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28015,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[28014])).
% 73.83/46.99 tff(28016,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 73.83/46.99 inference(transitivity,[status(thm)],[28015, 28013])).
% 73.83/46.99 tff(28017,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28018,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 73.83/46.99 tff(28019,plain,
% 73.83/46.99 ((~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28018, 1038, 27969])).
% 73.83/46.99 tff(28020,plain,
% 73.83/46.99 ((~v90(constB188, bitIndex1)) | v90(constB189, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28019, 27981])).
% 73.83/46.99 tff(28021,plain,
% 73.83/46.99 (v90(constB189, bitIndex1)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28020, 28012])).
% 73.83/46.99 tff(28022,plain,
% 73.83/46.99 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28023,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28024,plain,
% 73.83/46.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28023, 28022])).
% 73.83/46.99 tff(28025,plain,
% 73.83/46.99 (~v130(constB187, bitIndex0)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28024, 1690, 27855])).
% 73.83/46.99 tff(28026,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28027,plain,
% 73.83/46.99 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28028,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[28027])).
% 73.83/46.99 tff(28029,plain,
% 73.83/46.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.83/46.99 inference(transitivity,[status(thm)],[28028, 28026])).
% 73.83/46.99 tff(28030,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28031,plain,
% 73.83/46.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28030, 28029])).
% 73.83/46.99 tff(28032,plain,
% 73.83/46.99 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28031, 769, 27883])).
% 73.83/46.99 tff(28033,plain,
% 73.83/46.99 (~v127(constB187, bitIndex0)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28032, 28025])).
% 73.83/46.99 tff(28034,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28035,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28036,plain,
% 73.83/46.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28035, 28034])).
% 73.83/46.99 tff(28037,plain,
% 73.83/46.99 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28036, 787, 27898])).
% 73.83/46.99 tff(28038,plain,
% 73.83/46.99 (~v129(constB188, bitIndex0)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28037, 28033])).
% 73.83/46.99 tff(28039,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28040,plain,
% 73.83/46.99 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28041,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 73.83/46.99 inference(monotonicity,[status(thm)],[28040])).
% 73.83/46.99 tff(28042,plain,
% 73.83/46.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.83/46.99 inference(transitivity,[status(thm)],[28041, 28039])).
% 73.83/46.99 tff(28043,plain,
% 73.83/46.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 73.83/46.99 inference(quant_inst,[status(thm)],[])).
% 73.83/46.99 tff(28044,plain,
% 73.83/46.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 73.83/46.99 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 73.83/46.99 tff(28045,plain,
% 73.83/46.99 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28044, 802, 28038])).
% 73.83/46.99 tff(28046,plain,
% 73.83/46.99 (~v90(constB188, bitIndex0)),
% 73.83/46.99 inference(unit_resolution,[status(thm)],[28045, 27938])).
% 73.83/46.99 tff(28047,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28048,plain,
% 73.83/46.99 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.83/46.99 inference(rewrite,[status(thm)],[])).
% 73.83/46.99 tff(28049,plain,
% 73.83/46.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28048])).
% 73.83/47.00 tff(28050,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28049, 28047])).
% 73.83/47.00 tff(28051,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28052,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 73.83/47.00 tff(28053,plain,
% 73.83/47.00 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28052, 362, 27969])).
% 73.83/47.00 tff(28054,plain,
% 73.83/47.00 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28053, 27981])).
% 73.83/47.00 tff(28055,plain,
% 73.83/47.00 (~v90(constB189, bitIndex0)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28054, 28046])).
% 73.83/47.00 tff(28056,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28057,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28058,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28057, 28056])).
% 73.83/47.00 tff(28059,plain,
% 73.83/47.00 (v121(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28058, 1734, 28055, 28021, 27990])).
% 73.83/47.00 tff(28060,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB189) | (~v121(constB189)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB189) | (~v121(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28061,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB189) | (~v121(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28062,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB189) | (~v121(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28061, 28060])).
% 73.83/47.00 tff(28063,plain,
% 73.83/47.00 (v117(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28062, 1775, 28059])).
% 73.83/47.00 tff(28064,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB189) | (~v117(constB189)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB189) | (~v117(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28065,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB189) | (~v117(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28066,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB189) | (~v117(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 73.83/47.00 tff(28067,plain,
% 73.83/47.00 (v116(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28066, 416, 28063])).
% 73.83/47.00 tff(28068,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB189) | (~v116(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB189) | (~v116(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28069,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB189) | (~v116(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28070,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB189) | (~v116(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28069, 28068])).
% 73.83/47.00 tff(28071,plain,
% 73.83/47.00 (v115(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28070, 427, 28067])).
% 73.83/47.00 tff(28072,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28073,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28074,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 73.83/47.00 tff(28075,plain,
% 73.83/47.00 (v114(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28074, 438, 28071])).
% 73.83/47.00 tff(28076,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28077,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28078,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28077, 28076])).
% 73.83/47.00 tff(28079,plain,
% 73.83/47.00 (v113(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28078, 449, 28075])).
% 73.83/47.00 tff(28080,assumption,(v26(constB189)), introduced(assumption)).
% 73.83/47.00 tff(28081,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28082,plain,
% 73.83/47.00 ($false),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28081, 26, 28080])).
% 73.83/47.00 tff(28083,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 73.83/47.00 tff(28084,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28085,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28086,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28085, 28084])).
% 73.83/47.00 tff(28087,plain,
% 73.83/47.00 ((~v113(constB189)) | v112(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28086, 463, 28083])).
% 73.83/47.00 tff(28088,plain,
% 73.83/47.00 (v112(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28087, 28079])).
% 73.83/47.00 tff(28089,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28090,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28091,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 73.83/47.00 tff(28092,plain,
% 73.83/47.00 (v108(constB189)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28091, 475, 28088])).
% 73.83/47.00 tff(28093,plain,
% 73.83/47.00 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28094,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 73.83/47.00 tff(28095,plain,
% 73.83/47.00 (nextState(constB189, constB190)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 73.83/47.00 tff(28096,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28097,plain,
% 73.83/47.00 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28098,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28097])).
% 73.83/47.00 tff(28099,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28098, 28096])).
% 73.83/47.00 tff(28100,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28101,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 73.83/47.00 tff(28102,plain,
% 73.83/47.00 (v110(constB190) | (~v108(constB189))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28101, 492, 28095])).
% 73.83/47.00 tff(28103,plain,
% 73.83/47.00 (v110(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28102, 28092])).
% 73.83/47.00 tff(28104,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28105,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28106,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28105, 28104])).
% 73.83/47.00 tff(28107,plain,
% 73.83/47.00 (~v104(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28106, 510, 28095, 27966])).
% 73.83/47.00 tff(28108,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28109,plain,
% 73.83/47.00 (((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28110,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28109])).
% 73.83/47.00 tff(28111,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28110, 28108])).
% 73.83/47.00 tff(28112,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28113,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 73.83/47.00 tff(28114,plain,
% 73.83/47.00 (v104(constB190) | v102(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28113, 524, 28095])).
% 73.83/47.00 tff(28115,plain,
% 73.83/47.00 (v102(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28114, 28107])).
% 73.83/47.00 tff(28116,plain,
% 73.83/47.00 (v1(constB190) <=> v1(constB190)),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28117,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 73.83/47.00 tff(28118,plain,
% 73.83/47.00 (v1(constB190)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28117, 28116])).
% 73.83/47.00 tff(28119,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28120,plain,
% 73.83/47.00 (((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))) <=> ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28121,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28120])).
% 73.83/47.00 tff(28122,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28121, 28119])).
% 73.83/47.00 tff(28123,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28124,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 73.83/47.00 tff(28125,plain,
% 73.83/47.00 (v101(constB190) | (~v102(constB190))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28124, 545, 28095, 28118])).
% 73.83/47.00 tff(28126,plain,
% 73.83/47.00 (v101(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28125, 28115])).
% 73.83/47.00 tff(28127,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28128,plain,
% 73.83/47.00 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28129,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28128])).
% 73.83/47.00 tff(28130,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28129, 28127])).
% 73.83/47.00 tff(28131,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28132,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 73.83/47.00 tff(28133,plain,
% 73.83/47.00 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28132, 563, 28095])).
% 73.83/47.00 tff(28134,plain,
% 73.83/47.00 (v100(constB190) | (~v110(constB190))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28133, 28126])).
% 73.83/47.00 tff(28135,plain,
% 73.83/47.00 (v100(constB190)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28134, 28103])).
% 73.83/47.00 tff(28136,plain,
% 73.83/47.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28137,plain,
% 73.83/47.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28138,plain,
% 73.83/47.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28137, 28136])).
% 73.83/47.00 tff(28139,plain,
% 73.83/47.00 (~v130(constB189, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28138, 1748, 28059])).
% 73.83/47.00 tff(28140,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28141,plain,
% 73.83/47.00 ((v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2))) <=> ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28142,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28141])).
% 73.83/47.00 tff(28143,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28142, 28140])).
% 73.83/47.00 tff(28144,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28145,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 73.83/47.00 tff(28146,plain,
% 73.83/47.00 ((~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28145, 1271, 28083])).
% 73.83/47.00 tff(28147,plain,
% 73.83/47.00 (~v127(constB189, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28146, 28139])).
% 73.83/47.00 tff(28148,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28149,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28150,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28149, 28148])).
% 73.83/47.00 tff(28151,plain,
% 73.83/47.00 (v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28150, 1289, 28095])).
% 73.83/47.00 tff(28152,plain,
% 73.83/47.00 (~v129(constB190, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28151, 28147])).
% 73.83/47.00 tff(28153,plain,
% 73.83/47.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28154,plain,
% 73.83/47.00 (((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28155,plain,
% 73.83/47.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28154])).
% 73.83/47.00 tff(28156,plain,
% 73.83/47.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28155, 28153])).
% 73.83/47.00 tff(28157,plain,
% 73.83/47.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28158,plain,
% 73.83/47.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28157, 28156])).
% 73.83/47.00 tff(28159,plain,
% 73.83/47.00 ((~v90(constB190, bitIndex2)) | (~v100(constB190))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28158, 1304, 28152])).
% 73.83/47.00 tff(28160,plain,
% 73.83/47.00 (~v90(constB190, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28159, 28135])).
% 73.83/47.00 tff(28161,plain,
% 73.83/47.00 ((~v1(constB191)) <=> (~v1(constB191))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28162,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 73.83/47.00 tff(28163,plain,
% 73.83/47.00 (~v1(constB191)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28162, 28161])).
% 73.83/47.00 tff(28164,plain,
% 73.83/47.00 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28165,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 73.83/47.00 tff(28166,plain,
% 73.83/47.00 (nextState(constB190, constB191)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28165, 28164])).
% 73.83/47.00 tff(28167,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28168,plain,
% 73.83/47.00 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28169,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28168])).
% 73.83/47.00 tff(28170,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28169, 28167])).
% 73.83/47.00 tff(28171,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28172,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28171, 28170])).
% 73.83/47.00 tff(28173,plain,
% 73.83/47.00 (~v101(constB191)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28172, 288, 28166, 28163])).
% 73.83/47.00 tff(28174,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28175,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28176,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28175, 28174])).
% 73.83/47.00 tff(28177,plain,
% 73.83/47.00 (v101(constB191) | (~v100(constB191))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28176, 305, 28166])).
% 73.83/47.00 tff(28178,plain,
% 73.83/47.00 (~v100(constB191)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28177, 28173])).
% 73.83/47.00 tff(28179,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28180,plain,
% 73.83/47.00 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28181,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))))),
% 73.83/47.00 inference(monotonicity,[status(thm)],[28180])).
% 73.83/47.00 tff(28182,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 73.83/47.00 inference(transitivity,[status(thm)],[28181, 28179])).
% 73.83/47.00 tff(28183,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28184,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 73.83/47.00 tff(28185,plain,
% 73.83/47.00 (v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28184, 320, 28166])).
% 73.83/47.00 tff(28186,plain,
% 73.83/47.00 (v90(constB190, bitIndex2) | (~v90(constB191, bitIndex2))),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28185, 28178])).
% 73.83/47.00 tff(28187,plain,
% 73.83/47.00 (~v90(constB191, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28186, 28160])).
% 73.83/47.00 tff(28188,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB191, bitIndex2) | (~v88(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB191, bitIndex2) | (~v88(constB191, bitIndex2)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28189,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB191, bitIndex2) | (~v88(constB191, bitIndex2)))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28190,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB191, bitIndex2) | (~v88(constB191, bitIndex2))),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28189, 28188])).
% 73.83/47.00 tff(28191,plain,
% 73.83/47.00 (~v88(constB191, bitIndex2)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28190, 12119, 28187])).
% 73.83/47.00 tff(28192,plain,
% 73.83/47.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28193,plain,
% 73.83/47.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28194,plain,
% 73.83/47.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28193, 28192])).
% 73.83/47.00 tff(28195,plain,
% 73.83/47.00 (v130(constB189, bitIndex1)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28194, 1904, 28059])).
% 73.83/47.00 tff(28196,plain,
% 73.83/47.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28197,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28198,plain,
% 73.83/47.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28197, 28196])).
% 73.83/47.00 tff(28199,plain,
% 73.83/47.00 ((~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28198, 990, 28083])).
% 73.83/47.00 tff(28200,plain,
% 73.83/47.00 (v127(constB189, bitIndex1)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28199, 28195])).
% 73.83/47.00 tff(28201,plain,
% 73.83/47.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28202,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 73.83/47.00 inference(quant_inst,[status(thm)],[])).
% 73.83/47.00 tff(28203,plain,
% 73.83/47.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 73.83/47.00 inference(modus_ponens,[status(thm)],[28202, 28201])).
% 73.83/47.00 tff(28204,plain,
% 73.83/47.00 ((~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28203, 1005, 28095])).
% 73.83/47.00 tff(28205,plain,
% 73.83/47.00 (v129(constB190, bitIndex1)),
% 73.83/47.00 inference(unit_resolution,[status(thm)],[28204, 28200])).
% 73.83/47.00 tff(28206,plain,
% 73.83/47.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 73.83/47.00 inference(rewrite,[status(thm)],[])).
% 73.83/47.00 tff(28207,plain,
% 73.83/47.00 ((v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28208,plain,
% 73.83/47.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28207])).
% 73.83/47.01 tff(28209,plain,
% 73.83/47.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28208, 28206])).
% 73.83/47.01 tff(28210,plain,
% 73.83/47.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28211,plain,
% 73.83/47.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28210, 28209])).
% 73.83/47.01 tff(28212,plain,
% 73.83/47.01 (v90(constB190, bitIndex1) | (~v100(constB190))),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28211, 1020, 28205])).
% 73.83/47.01 tff(28213,plain,
% 73.83/47.01 (v90(constB190, bitIndex1)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28212, 28135])).
% 73.83/47.01 tff(28214,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28215,plain,
% 73.83/47.01 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28216,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28215])).
% 73.83/47.01 tff(28217,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28216, 28214])).
% 73.83/47.01 tff(28218,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28219,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28218, 28217])).
% 73.83/47.01 tff(28220,plain,
% 73.83/47.01 ((~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28219, 1038, 28166])).
% 73.83/47.01 tff(28221,plain,
% 73.83/47.01 ((~v90(constB190, bitIndex1)) | v90(constB191, bitIndex1)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28220, 28178])).
% 73.83/47.01 tff(28222,plain,
% 73.83/47.01 (v90(constB191, bitIndex1)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28221, 28213])).
% 73.83/47.01 tff(28223,plain,
% 73.83/47.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB191, bitIndex1)) | v88(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB191, bitIndex1)) | v88(constB191, bitIndex1))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28224,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB191, bitIndex1)) | v88(constB191, bitIndex1))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28225,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB191, bitIndex1)) | v88(constB191, bitIndex1)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28224, 28223])).
% 73.83/47.01 tff(28226,plain,
% 73.83/47.01 (v88(constB191, bitIndex1)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28225, 4297, 28222])).
% 73.83/47.01 tff(28227,plain,
% 73.83/47.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28228,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28229,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28228, 28227])).
% 73.83/47.01 tff(28230,plain,
% 73.83/47.01 (v130(constB189, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28229, 1945, 28059])).
% 73.83/47.01 tff(28231,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28232,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28233,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28232, 28231])).
% 73.83/47.01 tff(28234,plain,
% 73.83/47.01 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28233, 1413, 28083])).
% 73.83/47.01 tff(28235,plain,
% 73.83/47.01 (v127(constB189, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28234, 28230])).
% 73.83/47.01 tff(28236,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28237,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28238,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 73.83/47.01 tff(28239,plain,
% 73.83/47.01 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28238, 1428, 28095])).
% 73.83/47.01 tff(28240,plain,
% 73.83/47.01 (v129(constB190, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28239, 28235])).
% 73.83/47.01 tff(28241,plain,
% 73.83/47.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28242,plain,
% 73.83/47.01 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28243,plain,
% 73.83/47.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28242])).
% 73.83/47.01 tff(28244,plain,
% 73.83/47.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28243, 28241])).
% 73.83/47.01 tff(28245,plain,
% 73.83/47.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28246,plain,
% 73.83/47.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 73.83/47.01 tff(28247,plain,
% 73.83/47.01 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28246, 1443, 28240])).
% 73.83/47.01 tff(28248,plain,
% 73.83/47.01 (v90(constB190, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28247, 28135])).
% 73.83/47.01 tff(28249,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28250,plain,
% 73.83/47.01 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28251,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28250])).
% 73.83/47.01 tff(28252,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28251, 28249])).
% 73.83/47.01 tff(28253,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28254,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 73.83/47.01 tff(28255,plain,
% 73.83/47.01 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28254, 1461, 28166])).
% 73.83/47.01 tff(28256,plain,
% 73.83/47.01 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28255, 28178])).
% 73.83/47.01 tff(28257,plain,
% 73.83/47.01 (v90(constB191, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28256, 28248])).
% 73.83/47.01 tff(28258,plain,
% 73.83/47.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28259,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28260,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28259, 28258])).
% 73.83/47.01 tff(28261,plain,
% 73.83/47.01 (v88(constB191, bitIndex0)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28260, 12199, 28257])).
% 73.83/47.01 tff(28262,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28263,plain,
% 73.83/47.01 ((v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)) | v141(constB191)) <=> ((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28264,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)) | v141(constB191))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191)))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28263])).
% 73.83/47.01 tff(28265,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)) | v141(constB191))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28264, 28262])).
% 73.83/47.01 tff(28266,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)) | v141(constB191))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28267,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)) | v141(constB191)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 73.83/47.01 tff(28268,plain,
% 73.83/47.01 (v141(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28267, 12213, 28261, 28226, 28191])).
% 73.83/47.01 tff(28269,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB191) | (~v141(constB191)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB191) | (~v141(constB191)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28270,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB191) | (~v141(constB191)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28271,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB191) | (~v141(constB191))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 73.83/47.01 tff(28272,plain,
% 73.83/47.01 (v168(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28271, 12224, 28268])).
% 73.83/47.01 tff(28273,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB191) | (~v168(constB191)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB191) | (~v168(constB191)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28274,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB191) | (~v168(constB191)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28275,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB191) | (~v168(constB191))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 73.83/47.01 tff(28276,plain,
% 73.83/47.01 (v167(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28275, 12235, 28272])).
% 73.83/47.01 tff(28277,plain,
% 73.83/47.01 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB191)) | (~v170(constB191)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB191)) | (~v170(constB191)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28278,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB191)) | (~v170(constB191)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28279,plain,
% 73.83/47.01 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB191)) | (~v170(constB191))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 73.83/47.01 tff(28280,plain,
% 73.83/47.01 (~v170(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28279, 4351, 28276])).
% 73.83/47.01 tff(28281,plain,
% 73.83/47.01 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB191) | (~v167(constB191)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB191) | (~v167(constB191)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28282,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB191) | (~v167(constB191)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28283,plain,
% 73.83/47.01 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB191) | (~v167(constB191))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 73.83/47.01 tff(28284,plain,
% 73.83/47.01 (v166(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28283, 4362, 28276])).
% 73.83/47.01 tff(28285,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB191)) | (~v166(constB191)) | v170(constB191))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB191)) | (~v166(constB191)) | v170(constB191))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28286,plain,
% 73.83/47.01 (((~v166(constB191)) | v170(constB191) | (~v163(constB191))) <=> ((~v163(constB191)) | (~v166(constB191)) | v170(constB191))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28287,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB191)) | v170(constB191) | (~v163(constB191)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB191)) | (~v166(constB191)) | v170(constB191)))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28286])).
% 73.83/47.01 tff(28288,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB191)) | v170(constB191) | (~v163(constB191)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB191)) | (~v166(constB191)) | v170(constB191))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28287, 28285])).
% 73.83/47.01 tff(28289,plain,
% 73.83/47.01 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB191)) | v170(constB191) | (~v163(constB191)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28290,plain,
% 73.83/47.01 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB191)) | (~v166(constB191)) | v170(constB191)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28289, 28288])).
% 73.83/47.01 tff(28291,plain,
% 73.83/47.01 (~v163(constB191)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28290, 4376, 28284, 28280])).
% 73.83/47.01 tff(28292,plain,
% 73.83/47.01 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28293,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 73.83/47.01 tff(28294,plain,
% 73.83/47.01 (nextState(constB191, constB192)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28293, 28292])).
% 73.83/47.01 tff(28295,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28296,plain,
% 73.83/47.01 (((~nextState(constB191, constB192)) | v163(constB191) | (~v186(constB192))) <=> (v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28297,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB191, constB192)) | v163(constB191) | (~v186(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28296])).
% 73.83/47.01 tff(28298,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB191, constB192)) | v163(constB191) | (~v186(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28297, 28295])).
% 73.83/47.01 tff(28299,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB191, constB192)) | v163(constB191) | (~v186(constB192)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28300,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB191) | (~nextState(constB191, constB192)) | (~v186(constB192))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28299, 28298])).
% 73.83/47.01 tff(28301,plain,
% 73.83/47.01 (v163(constB191) | (~v186(constB192))),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28300, 12267, 28294])).
% 73.83/47.01 tff(28302,plain,
% 73.83/47.01 (~v186(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28301, 28291])).
% 73.83/47.01 tff(28303,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28304,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28305,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 73.83/47.01 tff(28306,plain,
% 73.83/47.01 (~v104(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28305, 510, 28294, 28163])).
% 73.83/47.01 tff(28307,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB191, constB192)) | v181(constB192) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB191, constB192)) | v181(constB192) | v104(constB192))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28308,plain,
% 73.83/47.01 (((~nextState(constB191, constB192)) | v104(constB192) | v181(constB192)) <=> ((~nextState(constB191, constB192)) | v181(constB192) | v104(constB192))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28309,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v181(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB191, constB192)) | v181(constB192) | v104(constB192)))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28308])).
% 73.83/47.01 tff(28310,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v181(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB191, constB192)) | v181(constB192) | v104(constB192))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28309, 28307])).
% 73.83/47.01 tff(28311,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v181(constB192))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28312,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB191, constB192)) | v181(constB192) | v104(constB192)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28311, 28310])).
% 73.83/47.01 tff(28313,plain,
% 73.83/47.01 (v181(constB192) | v104(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28312, 12289, 28294])).
% 73.83/47.01 tff(28314,plain,
% 73.83/47.01 (v181(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28313, 28306])).
% 73.83/47.01 tff(28315,plain,
% 73.83/47.01 (v1(constB192) <=> v1(constB192)),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28316,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 73.83/47.01 tff(28317,plain,
% 73.83/47.01 (v1(constB192)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28316, 28315])).
% 73.83/47.01 tff(28318,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28319,plain,
% 73.83/47.01 (((~nextState(constB191, constB192)) | (~v1(constB192)) | v180(constB192) | (~v181(constB192))) <=> ((~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28320,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v180(constB192) | (~v181(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28319])).
% 73.83/47.01 tff(28321,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v180(constB192) | (~v181(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28320, 28318])).
% 73.83/47.01 tff(28322,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v180(constB192) | (~v181(constB192)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28323,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB191, constB192)) | v180(constB192) | (~v1(constB192)) | (~v181(constB192))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28322, 28321])).
% 73.83/47.01 tff(28324,plain,
% 73.83/47.01 (v180(constB192) | (~v181(constB192))),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28323, 12310, 28294, 28317])).
% 73.83/47.01 tff(28325,plain,
% 73.83/47.01 (v180(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28324, 28314])).
% 73.83/47.01 tff(28326,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v179(constB192) | (~v180(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v179(constB192) | (~v180(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28327,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v179(constB192) | (~v180(constB192)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28328,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v179(constB192) | (~v180(constB192))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28327, 28326])).
% 73.83/47.01 tff(28329,plain,
% 73.83/47.01 (v179(constB192) | (~v180(constB192))),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28328, 12328, 28294])).
% 73.83/47.01 tff(28330,plain,
% 73.83/47.01 (v179(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28329, 28325])).
% 73.83/47.01 tff(28331,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB192)) | v186(constB192) | (~v179(constB192)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB192)) | v186(constB192) | (~v179(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28332,plain,
% 73.83/47.01 (((~v179(constB192)) | (~v159(constB192)) | v186(constB192)) <=> ((~v159(constB192)) | v186(constB192) | (~v179(constB192)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28333,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB192)) | (~v159(constB192)) | v186(constB192))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB192)) | v186(constB192) | (~v179(constB192))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28332])).
% 73.83/47.01 tff(28334,plain,
% 73.83/47.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB192)) | (~v159(constB192)) | v186(constB192))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB192)) | v186(constB192) | (~v179(constB192)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28333, 28331])).
% 73.83/47.01 tff(28335,plain,
% 73.83/47.01 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB192)) | (~v159(constB192)) | v186(constB192))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28336,plain,
% 73.83/47.01 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB192)) | v186(constB192) | (~v179(constB192))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 73.83/47.01 tff(28337,plain,
% 73.83/47.01 ((~v159(constB192)) | v186(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28336, 12343, 28330])).
% 73.83/47.01 tff(28338,plain,
% 73.83/47.01 (~v159(constB192)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28337, 28302])).
% 73.83/47.01 tff(28339,plain,
% 73.83/47.01 ((~v1(constB193)) <=> (~v1(constB193))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28340,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 73.83/47.01 tff(28341,plain,
% 73.83/47.01 (~v1(constB193)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28340, 28339])).
% 73.83/47.01 tff(28342,plain,
% 73.83/47.01 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28343,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 73.83/47.01 tff(28344,plain,
% 73.83/47.01 (nextState(constB192, constB193)),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28343, 28342])).
% 73.83/47.01 tff(28345,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28346,plain,
% 73.83/47.01 (((~nextState(constB192, constB193)) | v1(constB193) | (~v180(constB193))) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28347,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v1(constB193) | (~v180(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28346])).
% 73.83/47.01 tff(28348,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v1(constB193) | (~v180(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193)))),
% 73.83/47.01 inference(transitivity,[status(thm)],[28347, 28345])).
% 73.83/47.01 tff(28349,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v1(constB193) | (~v180(constB193)))),
% 73.83/47.01 inference(quant_inst,[status(thm)],[])).
% 73.83/47.01 tff(28350,plain,
% 73.83/47.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v180(constB193))),
% 73.83/47.01 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 73.83/47.01 tff(28351,plain,
% 73.83/47.01 (~v180(constB193)),
% 73.83/47.01 inference(unit_resolution,[status(thm)],[28350, 12367, 28344, 28341])).
% 73.83/47.01 tff(28352,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28353,plain,
% 73.83/47.01 (((~nextState(constB192, constB193)) | (~v179(constB193)) | v180(constB193)) <=> ((~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193)))),
% 73.83/47.01 inference(rewrite,[status(thm)],[])).
% 73.83/47.01 tff(28354,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB192, constB193)) | (~v179(constB193)) | v180(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193))))),
% 73.83/47.01 inference(monotonicity,[status(thm)],[28353])).
% 73.83/47.01 tff(28355,plain,
% 73.83/47.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB192, constB193)) | (~v179(constB193)) | v180(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193)))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28354, 28352])).
% 73.83/47.02 tff(28356,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB192, constB193)) | (~v179(constB193)) | v180(constB193))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28357,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB192, constB193)) | v180(constB193) | (~v179(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 73.83/47.02 tff(28358,plain,
% 73.83/47.02 (v180(constB193) | (~v179(constB193))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28357, 12384, 28344])).
% 73.83/47.02 tff(28359,plain,
% 73.83/47.02 (~v179(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28358, 28351])).
% 73.83/47.02 tff(28360,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28361,plain,
% 73.83/47.02 (((~nextState(constB192, constB193)) | v179(constB193) | v159(constB192) | (~v159(constB193))) <=> (v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28362,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB192, constB193)) | v179(constB193) | v159(constB192) | (~v159(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193))))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28361])).
% 73.83/47.02 tff(28363,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB192, constB193)) | v179(constB193) | v159(constB192) | (~v159(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193)))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28362, 28360])).
% 73.83/47.02 tff(28364,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB192, constB193)) | v179(constB193) | v159(constB192) | (~v159(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28365,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB192) | (~nextState(constB192, constB193)) | v179(constB193) | (~v159(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28364, 28363])).
% 73.83/47.02 tff(28366,plain,
% 73.83/47.02 (v159(constB192) | v179(constB193) | (~v159(constB193))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28365, 12402, 28344])).
% 73.83/47.02 tff(28367,plain,
% 73.83/47.02 (v159(constB192) | (~v159(constB193))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28366, 28359])).
% 73.83/47.02 tff(28368,plain,
% 73.83/47.02 (~v159(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28367, 28338])).
% 73.83/47.02 tff(28369,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB193) | (~v201(constB193)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB193) | (~v201(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28370,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB193) | (~v201(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28371,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB193) | (~v201(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28370, 28369])).
% 73.83/47.02 tff(28372,plain,
% 73.83/47.02 (~v201(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28371, 12418, 28368])).
% 73.83/47.02 tff(28373,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB193) | (~v200(constB193)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB193) | (~v200(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28374,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB193) | (~v200(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28375,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB193) | (~v200(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28374, 28373])).
% 73.83/47.02 tff(28376,plain,
% 73.83/47.02 (~v200(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28375, 4401, 28372])).
% 73.83/47.02 tff(28377,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB193) | (~v198(constB193)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB193) | (~v198(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28378,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB193) | (~v198(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28379,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB193) | (~v198(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28378, 28377])).
% 73.83/47.02 tff(28380,plain,
% 73.83/47.02 (~v198(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28379, 4412, 28376])).
% 73.83/47.02 tff(28381,assumption,(v18(constB194)), introduced(assumption)).
% 73.83/47.02 tff(28382,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28383,plain,
% 73.83/47.02 ($false),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28382, 58, 28381])).
% 73.83/47.02 tff(28384,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 73.83/47.02 tff(28385,plain,
% 73.83/47.02 (v1(constB194) <=> v1(constB194)),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28386,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 73.83/47.02 tff(28387,plain,
% 73.83/47.02 (v1(constB194)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 73.83/47.02 tff(28388,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28389,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28390,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 73.83/47.02 tff(28391,plain,
% 73.83/47.02 (v22(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28390, 71, 28387])).
% 73.83/47.02 tff(28392,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28393,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28394,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 73.83/47.02 tff(28395,plain,
% 73.83/47.02 ((~v19(constB194)) | v18(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28394, 85, 28391])).
% 73.83/47.02 tff(28396,plain,
% 73.83/47.02 (~v19(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28395, 28384])).
% 73.83/47.02 tff(28397,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28398,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28399,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28398, 28397])).
% 73.83/47.02 tff(28400,plain,
% 73.83/47.02 (v13(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28399, 100, 28396])).
% 73.83/47.02 tff(28401,plain,
% 73.83/47.02 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28402,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 73.83/47.02 tff(28403,plain,
% 73.83/47.02 (nextState(constB193, constB194)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 73.83/47.02 tff(28404,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28405,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28406,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28405, 28404])).
% 73.83/47.02 tff(28407,plain,
% 73.83/47.02 ((~v13(constB194)) | v9(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28406, 117, 28403])).
% 73.83/47.02 tff(28408,plain,
% 73.83/47.02 (v9(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28407, 28400])).
% 73.83/47.02 tff(28409,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v197(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB193) | (~v9(constB193)) | v197(constB193))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28410,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v197(constB193))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28411,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB193) | (~v9(constB193)) | v197(constB193)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28410, 28409])).
% 73.83/47.02 tff(28412,plain,
% 73.83/47.02 ((~v9(constB193)) | v197(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28411, 4454, 28341])).
% 73.83/47.02 tff(28413,plain,
% 73.83/47.02 (v197(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28412, 28408])).
% 73.83/47.02 tff(28414,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB193) | (~v197(constB193)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB193) | (~v197(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28415,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB193) | (~v197(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28416,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB193) | (~v197(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28415, 28414])).
% 73.83/47.02 tff(28417,plain,
% 73.83/47.02 (v196(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28416, 4466, 28413])).
% 73.83/47.02 tff(28418,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB193)) | (~v196(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28419,plain,
% 73.83/47.02 (((~v196(constB193)) | (~v194(constB193))) <=> ((~v194(constB193)) | (~v196(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28420,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB193)) | (~v196(constB193))))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28419])).
% 73.83/47.02 tff(28421,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193)))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28420, 28418])).
% 73.83/47.02 tff(28422,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28423,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28422, 28421])).
% 73.83/47.02 tff(28424,plain,
% 73.83/47.02 (~v194(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28423, 4477, 28417])).
% 73.83/47.02 tff(28425,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB193) | v198(constB193) | (~v191(constB193)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB193) | v198(constB193) | (~v191(constB193)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28426,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB193) | v198(constB193) | (~v191(constB193)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28427,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB193) | v198(constB193) | (~v191(constB193))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 73.83/47.02 tff(28428,plain,
% 73.83/47.02 (v198(constB193) | (~v191(constB193))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28427, 4491, 28424])).
% 73.83/47.02 tff(28429,plain,
% 73.83/47.02 (~v191(constB193)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28428, 28380])).
% 73.83/47.02 tff(28430,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28431,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28432,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28431, 28430])).
% 73.83/47.02 tff(28433,plain,
% 73.83/47.02 (v191(constB193) | (~v193(constB194))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28432, 4506, 28403])).
% 73.83/47.02 tff(28434,plain,
% 73.83/47.02 (~v193(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28433, 28429])).
% 73.83/47.02 tff(28435,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB194) | (~v194(constB194)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB194) | (~v194(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28436,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB194) | (~v194(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28437,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB194) | (~v194(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28436, 28435])).
% 73.83/47.02 tff(28438,plain,
% 73.83/47.02 (~v194(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28437, 4518, 28434])).
% 73.83/47.02 tff(28439,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB194)) | (~v197(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB194)) | (~v197(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28440,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB194)) | (~v197(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28441,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB194)) | (~v197(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28440, 28439])).
% 73.83/47.02 tff(28442,plain,
% 73.83/47.02 (~v197(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28441, 4529, 28387])).
% 73.83/47.02 tff(28443,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB194) | (~v200(constB194)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB194) | (~v200(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28444,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB194) | (~v200(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28445,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB194) | (~v200(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28444, 28443])).
% 73.83/47.02 tff(28446,plain,
% 73.83/47.02 (~v200(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28445, 4540, 28442])).
% 73.83/47.02 tff(28447,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB194) | (~v198(constB194)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB194) | (~v198(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28448,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB194) | (~v198(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28449,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB194) | (~v198(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28448, 28447])).
% 73.83/47.02 tff(28450,plain,
% 73.83/47.02 (~v198(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28449, 4412, 28446])).
% 73.83/47.02 tff(28451,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB194) | v198(constB194) | (~v191(constB194)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB194) | v198(constB194) | (~v191(constB194)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28452,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB194) | v198(constB194) | (~v191(constB194)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28453,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB194) | v198(constB194) | (~v191(constB194))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28452, 28451])).
% 73.83/47.02 tff(28454,plain,
% 73.83/47.02 (v194(constB194) | (~v191(constB194))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28453, 4491, 28450])).
% 73.83/47.02 tff(28455,plain,
% 73.83/47.02 (~v191(constB194)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28454, 28438])).
% 73.83/47.02 tff(28456,plain,
% 73.83/47.02 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28457,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 73.83/47.02 tff(28458,plain,
% 73.83/47.02 (nextState(constB194, constB195)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28457, 28456])).
% 73.83/47.02 tff(28459,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28460,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28461,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 73.83/47.02 tff(28462,plain,
% 73.83/47.02 (v191(constB194) | (~v193(constB195))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28461, 4506, 28458])).
% 73.83/47.02 tff(28463,plain,
% 73.83/47.02 (~v193(constB195)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28462, 28455])).
% 73.83/47.02 tff(28464,plain,
% 73.83/47.02 ($false),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28463, 25621])).
% 73.83/47.02 tff(28465,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.83/47.02 tff(28466,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 73.83/47.02 tff(28467,plain,
% 73.83/47.02 (v1(constB132) <=> v1(sK0_VarCurr)),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28466])).
% 73.83/47.02 tff(28468,plain,
% 73.83/47.02 (v1(sK0_VarCurr) <=> v1(constB132)),
% 73.83/47.02 inference(symmetry,[status(thm)],[28467])).
% 73.83/47.02 tff(28469,plain,
% 73.83/47.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28468])).
% 73.83/47.02 tff(28470,plain,
% 73.83/47.02 (~v1(constB132)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[4604, 28469])).
% 73.83/47.02 tff(28471,plain,
% 73.83/47.02 ($false),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[21155, 28470])).
% 73.83/47.02 tff(28472,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.83/47.02 tff(28473,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 73.83/47.02 tff(28474,plain,
% 73.83/47.02 (v193(constB143) <=> v193(sK0_VarCurr)),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28473])).
% 73.83/47.02 tff(28475,plain,
% 73.83/47.02 (v193(sK0_VarCurr) <=> v193(constB143)),
% 73.83/47.02 inference(symmetry,[status(thm)],[28474])).
% 73.83/47.02 tff(28476,plain,
% 73.83/47.02 (v193(constB143)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[17, 28475])).
% 73.83/47.02 tff(28477,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28478,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28479,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28478, 28477])).
% 73.83/47.02 tff(28480,plain,
% 73.83/47.02 (~v88(constB139, bitIndex2)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28479, 12119, 21869])).
% 73.83/47.02 tff(28481,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB139, bitIndex0) | (~v88(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB139, bitIndex0) | (~v88(constB139, bitIndex0)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28482,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB139, bitIndex0) | (~v88(constB139, bitIndex0)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28483,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB139, bitIndex0) | (~v88(constB139, bitIndex0))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28482, 28481])).
% 73.83/47.02 tff(28484,plain,
% 73.83/47.02 (~v88(constB139, bitIndex0)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28483, 4274, 21934])).
% 73.83/47.02 tff(28485,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28486,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28487,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28486, 28485])).
% 73.83/47.02 tff(28488,plain,
% 73.83/47.02 (v88(constB139, bitIndex1)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28487, 4297, 21900])).
% 73.83/47.02 tff(28489,plain,
% 73.83/47.02 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 73.83/47.02 inference(bind,[status(th)],[])).
% 73.83/47.02 tff(28490,plain,
% 73.83/47.02 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(quant_intro,[status(thm)],[28489])).
% 73.83/47.02 tff(28491,plain,
% 73.83/47.02 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28492,plain,
% 73.83/47.02 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 73.83/47.02 inference(bind,[status(th)],[])).
% 73.83/47.02 tff(28493,plain,
% 73.83/47.02 (![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(quant_intro,[status(thm)],[28492])).
% 73.83/47.02 tff(28494,axiom,(![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 73.83/47.02 tff(28495,plain,
% 73.83/47.02 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28494, 28493])).
% 73.83/47.02 tff(28496,plain,
% 73.83/47.02 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28495, 28491])).
% 73.83/47.02 tff(28497,plain,(
% 73.83/47.02 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(skolemize,[status(sab)],[28496])).
% 73.83/47.02 tff(28498,plain,
% 73.83/47.02 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28497, 28490])).
% 73.83/47.02 tff(28499,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28500,plain,
% 73.83/47.02 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139)) <=> (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28501,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139)))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28500])).
% 73.83/47.02 tff(28502,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28501, 28499])).
% 73.83/47.02 tff(28503,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28504,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28503, 28502])).
% 73.83/47.02 tff(28505,plain,
% 73.83/47.02 (v143(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28504, 28498, 28488, 28484, 28480])).
% 73.83/47.02 tff(28506,plain,
% 73.83/47.02 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v143(VarCurr))) <=> (v142(VarCurr) | (~v143(VarCurr))))),
% 73.83/47.02 inference(bind,[status(th)],[])).
% 73.83/47.02 tff(28507,plain,
% 73.83/47.02 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 73.83/47.02 inference(quant_intro,[status(thm)],[28506])).
% 73.83/47.02 tff(28508,plain,
% 73.83/47.02 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28509,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 73.83/47.02 tff(28510,plain,
% 73.83/47.02 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 73.83/47.02 tff(28511,plain,(
% 73.83/47.02 ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 73.83/47.02 inference(skolemize,[status(sab)],[28510])).
% 73.83/47.02 tff(28512,plain,
% 73.83/47.02 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28511, 28507])).
% 73.83/47.02 tff(28513,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB139) | (~v143(constB139)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB139) | (~v143(constB139)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28514,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB139) | (~v143(constB139)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28515,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB139) | (~v143(constB139))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28514, 28513])).
% 73.83/47.02 tff(28516,plain,
% 73.83/47.02 (v142(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28515, 28512, 28505])).
% 73.83/47.02 tff(28517,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB139) | (~v142(constB139)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28518,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB139) | (~v142(constB139)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28519,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB139) | (~v142(constB139))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28518, 28517])).
% 73.83/47.02 tff(28520,plain,
% 73.83/47.02 (v167(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28519, 4337, 28516])).
% 73.83/47.02 tff(28521,plain,
% 73.83/47.02 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28522,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28523,plain,
% 73.83/47.02 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28522, 28521])).
% 73.83/47.02 tff(28524,plain,
% 73.83/47.02 (~v170(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28523, 4351, 28520])).
% 73.83/47.02 tff(28525,plain,
% 73.83/47.02 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28526,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28527,plain,
% 73.83/47.02 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28526, 28525])).
% 73.83/47.02 tff(28528,plain,
% 73.83/47.02 (v166(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28527, 4362, 28520])).
% 73.83/47.02 tff(28529,plain,
% 73.83/47.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28530,plain,
% 73.83/47.02 (((~v166(constB139)) | v170(constB139) | (~v163(constB139))) <=> ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28531,plain,
% 73.83/47.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139)))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28530])).
% 73.83/47.02 tff(28532,plain,
% 73.83/47.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28531, 28529])).
% 73.83/47.02 tff(28533,plain,
% 73.83/47.02 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28534,plain,
% 73.83/47.02 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 73.83/47.02 tff(28535,plain,
% 73.83/47.02 (~v163(constB139)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28534, 4376, 28528, 28524])).
% 73.83/47.02 tff(28536,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28537,plain,
% 73.83/47.02 (((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140))) <=> (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28538,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28537])).
% 73.83/47.02 tff(28539,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28538, 28536])).
% 73.83/47.02 tff(28540,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28541,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28540, 28539])).
% 73.83/47.02 tff(28542,plain,
% 73.83/47.02 (v163(constB139) | (~v186(constB140))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28541, 12267, 21977])).
% 73.83/47.02 tff(28543,plain,
% 73.83/47.02 (~v186(constB140)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28542, 28535])).
% 73.83/47.02 tff(28544,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28545,plain,
% 73.83/47.02 (((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140)) <=> ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28546,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28545])).
% 73.83/47.02 tff(28547,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28546, 28544])).
% 73.83/47.02 tff(28548,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28549,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 73.83/47.02 tff(28550,plain,
% 73.83/47.02 (v181(constB140) | v104(constB140)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28549, 12289, 21977])).
% 73.83/47.02 tff(28551,plain,
% 73.83/47.02 (v181(constB140)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28550, 21989])).
% 73.83/47.02 tff(28552,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28553,plain,
% 73.83/47.02 (((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140))) <=> ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28554,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))))),
% 73.83/47.02 inference(monotonicity,[status(thm)],[28553])).
% 73.83/47.02 tff(28555,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 73.83/47.02 inference(transitivity,[status(thm)],[28554, 28552])).
% 73.83/47.02 tff(28556,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28557,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 73.83/47.02 tff(28558,plain,
% 73.83/47.02 (v180(constB140) | (~v181(constB140))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28557, 12310, 21977, 22000])).
% 73.83/47.02 tff(28559,plain,
% 73.83/47.02 (v180(constB140)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28558, 28551])).
% 73.83/47.02 tff(28560,plain,
% 73.83/47.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28561,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 73.83/47.02 inference(quant_inst,[status(thm)],[])).
% 73.83/47.02 tff(28562,plain,
% 73.83/47.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))),
% 73.83/47.02 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 73.83/47.02 tff(28563,plain,
% 73.83/47.02 (v179(constB140) | (~v180(constB140))),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28562, 12328, 21977])).
% 73.83/47.02 tff(28564,plain,
% 73.83/47.02 (v179(constB140)),
% 73.83/47.02 inference(unit_resolution,[status(thm)],[28563, 28559])).
% 73.83/47.02 tff(28565,plain,
% 73.83/47.02 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB140)) | v186(constB140) | (~v179(constB140)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 73.83/47.02 inference(rewrite,[status(thm)],[])).
% 73.83/47.02 tff(28566,plain,
% 73.83/47.02 (((~v179(constB140)) | (~v159(constB140)) | v186(constB140)) <=> ((~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 73.83/47.03 inference(rewrite,[status(thm)],[])).
% 73.83/47.03 tff(28567,plain,
% 73.83/47.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB140)) | v186(constB140) | (~v179(constB140))))),
% 73.83/47.03 inference(monotonicity,[status(thm)],[28566])).
% 73.83/47.03 tff(28568,plain,
% 73.83/47.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 73.83/47.03 inference(transitivity,[status(thm)],[28567, 28565])).
% 73.83/47.03 tff(28569,plain,
% 73.83/47.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))),
% 73.83/47.03 inference(quant_inst,[status(thm)],[])).
% 73.83/47.03 tff(28570,plain,
% 73.83/47.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140))),
% 73.83/47.03 inference(modus_ponens,[status(thm)],[28569, 28568])).
% 73.83/47.03 tff(28571,plain,
% 73.83/47.03 ((~v159(constB140)) | v186(constB140)),
% 73.83/47.03 inference(unit_resolution,[status(thm)],[28570, 12343, 28564])).
% 73.83/47.03 tff(28572,plain,
% 73.83/47.03 (~v159(constB140)),
% 73.83/47.03 inference(unit_resolution,[status(thm)],[28571, 28543])).
% 73.83/47.03 tff(28573,plain,
% 73.83/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 73.83/47.03 inference(rewrite,[status(thm)],[])).
% 73.83/47.03 tff(28574,plain,
% 73.83/47.03 (((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141))) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 73.83/47.03 inference(rewrite,[status(thm)],[])).
% 73.83/47.03 tff(28575,plain,
% 73.83/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))))),
% 73.83/47.03 inference(monotonicity,[status(thm)],[28574])).
% 73.83/47.03 tff(28576,plain,
% 73.83/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 73.83/47.03 inference(transitivity,[status(thm)],[28575, 28573])).
% 73.83/47.03 tff(28577,plain,
% 73.83/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))),
% 73.83/47.03 inference(quant_inst,[status(thm)],[])).
% 73.83/47.03 tff(28578,plain,
% 73.83/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))),
% 73.83/47.03 inference(modus_ponens,[status(thm)],[28577, 28576])).
% 73.83/47.03 tff(28579,plain,
% 73.83/47.03 (~v180(constB141)),
% 73.83/47.03 inference(unit_resolution,[status(thm)],[28578, 12367, 22048, 22045])).
% 73.83/47.03 tff(28580,plain,
% 73.83/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 73.83/47.03 inference(rewrite,[status(thm)],[])).
% 73.83/47.03 tff(28581,plain,
% 73.83/47.03 (((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141)) <=> ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28582,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28581])).
% 73.88/47.03 tff(28583,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 73.88/47.03 inference(transitivity,[status(thm)],[28582, 28580])).
% 73.88/47.03 tff(28584,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28585,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28584, 28583])).
% 73.88/47.03 tff(28586,plain,
% 73.88/47.03 (v180(constB141) | (~v179(constB141))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28585, 12384, 22048])).
% 73.88/47.03 tff(28587,plain,
% 73.88/47.03 (~v179(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28586, 28579])).
% 73.88/47.03 tff(28588,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28589,plain,
% 73.88/47.03 (((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141))) <=> (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28590,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28589])).
% 73.88/47.03 tff(28591,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 73.88/47.03 inference(transitivity,[status(thm)],[28590, 28588])).
% 73.88/47.03 tff(28592,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28593,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 73.88/47.03 tff(28594,plain,
% 73.88/47.03 (v159(constB140) | v179(constB141) | (~v159(constB141))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28593, 12402, 22048])).
% 73.88/47.03 tff(28595,plain,
% 73.88/47.03 (v159(constB140) | (~v159(constB141))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28594, 28587])).
% 73.88/47.03 tff(28596,plain,
% 73.88/47.03 (~v159(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28595, 28572])).
% 73.88/47.03 tff(28597,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28598,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28599,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28598, 28597])).
% 73.88/47.03 tff(28600,plain,
% 73.88/47.03 (~v201(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28599, 12418, 28596])).
% 73.88/47.03 tff(28601,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28602,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28603,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28602, 28601])).
% 73.88/47.03 tff(28604,plain,
% 73.88/47.03 (~v200(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28603, 4401, 28600])).
% 73.88/47.03 tff(28605,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28606,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28607,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28606, 28605])).
% 73.88/47.03 tff(28608,plain,
% 73.88/47.03 (~v198(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28607, 4412, 28604])).
% 73.88/47.03 tff(28609,assumption,(v18(constB142)), introduced(assumption)).
% 73.88/47.03 tff(28610,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28611,plain,
% 73.88/47.03 ($false),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28610, 58, 28609])).
% 73.88/47.03 tff(28612,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.03 tff(28613,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28614,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28615,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28614, 28613])).
% 73.88/47.03 tff(28616,plain,
% 73.88/47.03 (v22(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28615, 71, 22193])).
% 73.88/47.03 tff(28617,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28618,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28619,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28618, 28617])).
% 73.88/47.03 tff(28620,plain,
% 73.88/47.03 ((~v19(constB142)) | v18(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28619, 85, 28616])).
% 73.88/47.03 tff(28621,plain,
% 73.88/47.03 (~v19(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28620, 28612])).
% 73.88/47.03 tff(28622,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28623,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28624,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 73.88/47.03 tff(28625,plain,
% 73.88/47.03 (v13(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28624, 100, 28621])).
% 73.88/47.03 tff(28626,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28627,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28628,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 73.88/47.03 tff(28629,plain,
% 73.88/47.03 ((~v13(constB142)) | v9(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28628, 117, 22170])).
% 73.88/47.03 tff(28630,plain,
% 73.88/47.03 (v9(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28629, 28625])).
% 73.88/47.03 tff(28631,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28632,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28633,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 73.88/47.03 tff(28634,plain,
% 73.88/47.03 ((~v9(constB141)) | v197(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28633, 4454, 22045])).
% 73.88/47.03 tff(28635,plain,
% 73.88/47.03 (v197(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28634, 28630])).
% 73.88/47.03 tff(28636,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB141) | (~v197(constB141)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB141) | (~v197(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28637,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB141) | (~v197(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28638,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB141) | (~v197(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 73.88/47.03 tff(28639,plain,
% 73.88/47.03 (v196(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28638, 4466, 28635])).
% 73.88/47.03 tff(28640,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB141)) | (~v196(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28641,plain,
% 73.88/47.03 (((~v196(constB141)) | (~v194(constB141))) <=> ((~v194(constB141)) | (~v196(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28642,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB141)) | (~v194(constB141)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141))))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28641])).
% 73.88/47.03 tff(28643,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB141)) | (~v194(constB141)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB141)) | (~v196(constB141)))),
% 73.88/47.03 inference(transitivity,[status(thm)],[28642, 28640])).
% 73.88/47.03 tff(28644,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB141)) | (~v194(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28645,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB141)) | (~v196(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 73.88/47.03 tff(28646,plain,
% 73.88/47.03 (~v194(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28645, 4477, 28639])).
% 73.88/47.03 tff(28647,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28648,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28649,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28648, 28647])).
% 73.88/47.03 tff(28650,plain,
% 73.88/47.03 (v198(constB141) | (~v191(constB141))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28649, 4491, 28646])).
% 73.88/47.03 tff(28651,plain,
% 73.88/47.03 (~v191(constB141)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28650, 28608])).
% 73.88/47.03 tff(28652,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28653,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28654,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 73.88/47.03 tff(28655,plain,
% 73.88/47.03 (v191(constB141) | (~v193(constB142))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28654, 4506, 22170])).
% 73.88/47.03 tff(28656,plain,
% 73.88/47.03 (~v193(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28655, 28651])).
% 73.88/47.03 tff(28657,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28658,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28659,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 73.88/47.03 tff(28660,plain,
% 73.88/47.03 (~v194(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28659, 4518, 28656])).
% 73.88/47.03 tff(28661,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28662,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28663,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 73.88/47.03 tff(28664,plain,
% 73.88/47.03 (~v197(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28663, 4529, 22193])).
% 73.88/47.03 tff(28665,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28666,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28667,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28666, 28665])).
% 73.88/47.03 tff(28668,plain,
% 73.88/47.03 (~v200(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28667, 4540, 28664])).
% 73.88/47.03 tff(28669,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28670,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28671,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28670, 28669])).
% 73.88/47.03 tff(28672,plain,
% 73.88/47.03 (~v198(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28671, 4412, 28668])).
% 73.88/47.03 tff(28673,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28674,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28675,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28674, 28673])).
% 73.88/47.03 tff(28676,plain,
% 73.88/47.03 (v194(constB142) | (~v191(constB142))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28675, 4491, 28672])).
% 73.88/47.03 tff(28677,plain,
% 73.88/47.03 (~v191(constB142)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28676, 28660])).
% 73.88/47.03 tff(28678,plain,
% 73.88/47.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28679,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28680,plain,
% 73.88/47.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28679, 28678])).
% 73.88/47.03 tff(28681,plain,
% 73.88/47.03 (v191(constB142) | (~v193(constB143))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28680, 4506, 22238])).
% 73.88/47.03 tff(28682,plain,
% 73.88/47.03 (~v193(constB143)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28681, 28677])).
% 73.88/47.03 tff(28683,plain,
% 73.88/47.03 ($false),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28682, 28476])).
% 73.88/47.03 tff(28684,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.03 tff(28685,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.03 tff(28686,plain,
% 73.88/47.03 (v1(constB12) <=> v1(sK0_VarCurr)),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28685])).
% 73.88/47.03 tff(28687,plain,
% 73.88/47.03 (v1(sK0_VarCurr) <=> v1(constB12)),
% 73.88/47.03 inference(symmetry,[status(thm)],[28686])).
% 73.88/47.03 tff(28688,plain,
% 73.88/47.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28687])).
% 73.88/47.03 tff(28689,plain,
% 73.88/47.03 (~v1(constB12)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[4604, 28688])).
% 73.88/47.03 tff(28690,plain,
% 73.88/47.03 ($false),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[2052, 28689])).
% 73.88/47.03 tff(28691,plain,(~(constB12 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.03 tff(28692,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.03 tff(28693,plain,
% 73.88/47.03 (v193(constB47) <=> v193(sK0_VarCurr)),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28692])).
% 73.88/47.03 tff(28694,plain,
% 73.88/47.03 (v193(sK0_VarCurr) <=> v193(constB47)),
% 73.88/47.03 inference(symmetry,[status(thm)],[28693])).
% 73.88/47.03 tff(28695,plain,
% 73.88/47.03 (v193(constB47)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[17, 28694])).
% 73.88/47.03 tff(28696,plain,
% 73.88/47.03 (~v130(constB43, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[7294, 1057, 6732])).
% 73.88/47.03 tff(28697,plain,
% 73.88/47.03 ((~v127(constB43, bitIndex0)) | v26(constB43)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[7258, 769, 28696])).
% 73.88/47.03 tff(28698,plain,
% 73.88/47.03 (~v127(constB43, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28697, 4622])).
% 73.88/47.03 tff(28699,plain,
% 73.88/47.03 (~v129(constB44, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[7251, 28698])).
% 73.88/47.03 tff(28700,plain,
% 73.88/47.03 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[7245, 802, 28699])).
% 73.88/47.03 tff(28701,plain,
% 73.88/47.03 (~v90(constB44, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28700, 6796])).
% 73.88/47.03 tff(28702,plain,
% 73.88/47.03 (~v90(constB45, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[7131, 28701])).
% 73.88/47.03 tff(28703,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28704,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28705,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28704, 28703])).
% 73.88/47.03 tff(28706,plain,
% 73.88/47.03 (~v88(constB45, bitIndex0)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28705, 4274, 28702])).
% 73.88/47.03 tff(28707,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28708,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28709,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 73.88/47.03 tff(28710,plain,
% 73.88/47.03 (v88(constB45, bitIndex2)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28709, 4229, 6845])).
% 73.88/47.03 tff(28711,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28712,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28713,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 73.88/47.03 tff(28714,plain,
% 73.88/47.03 (v88(constB45, bitIndex1)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28713, 4297, 6884])).
% 73.88/47.03 tff(28715,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28716,plain,
% 73.88/47.03 (((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45)) <=> ((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28717,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45)))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28716])).
% 73.88/47.03 tff(28718,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45))),
% 73.88/47.03 inference(transitivity,[status(thm)],[28717, 28715])).
% 73.88/47.03 tff(28719,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28720,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0) | v144(constB45)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 73.88/47.03 tff(28721,plain,
% 73.88/47.03 (v144(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28720, 4311, 28714, 28710, 28706])).
% 73.88/47.03 tff(28722,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB45) | (~v144(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28723,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB45) | (~v144(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28724,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB45) | (~v144(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 73.88/47.03 tff(28725,plain,
% 73.88/47.03 (v142(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28724, 4326, 28721])).
% 73.88/47.03 tff(28726,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB45) | (~v142(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28727,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB45) | (~v142(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28728,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB45) | (~v142(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28727, 28726])).
% 73.88/47.03 tff(28729,plain,
% 73.88/47.03 (v167(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28728, 4337, 28725])).
% 73.88/47.03 tff(28730,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB45)) | (~v170(constB45)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB45)) | (~v170(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28731,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB45)) | (~v170(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28732,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB45)) | (~v170(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28731, 28730])).
% 73.88/47.03 tff(28733,plain,
% 73.88/47.03 (~v170(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28732, 4351, 28729])).
% 73.88/47.03 tff(28734,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB45) | (~v167(constB45)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB45) | (~v167(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28735,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB45) | (~v167(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28736,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB45) | (~v167(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 73.88/47.03 tff(28737,plain,
% 73.88/47.03 (v166(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28736, 4362, 28729])).
% 73.88/47.03 tff(28738,plain,
% 73.88/47.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB45)) | (~v166(constB45)) | v170(constB45))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB45)) | (~v166(constB45)) | v170(constB45))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28739,plain,
% 73.88/47.03 (((~v166(constB45)) | v170(constB45) | (~v163(constB45))) <=> ((~v163(constB45)) | (~v166(constB45)) | v170(constB45))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28740,plain,
% 73.88/47.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB45)) | v170(constB45) | (~v163(constB45)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB45)) | (~v166(constB45)) | v170(constB45)))),
% 73.88/47.03 inference(monotonicity,[status(thm)],[28739])).
% 73.88/47.03 tff(28741,plain,
% 73.88/47.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB45)) | v170(constB45) | (~v163(constB45)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB45)) | (~v166(constB45)) | v170(constB45))),
% 73.88/47.03 inference(transitivity,[status(thm)],[28740, 28738])).
% 73.88/47.03 tff(28742,plain,
% 73.88/47.03 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB45)) | v170(constB45) | (~v163(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28743,plain,
% 73.88/47.03 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB45)) | (~v166(constB45)) | v170(constB45)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 73.88/47.03 tff(28744,plain,
% 73.88/47.03 (~v163(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28743, 4376, 28737, 28733])).
% 73.88/47.03 tff(28745,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB45) | (~v201(constB45)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB45) | (~v201(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28746,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB45) | (~v201(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28747,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB45) | (~v201(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 73.88/47.03 tff(28748,plain,
% 73.88/47.03 (~v201(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28747, 4390, 28744])).
% 73.88/47.03 tff(28749,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28750,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28751,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 73.88/47.03 tff(28752,plain,
% 73.88/47.03 (~v200(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28751, 4401, 28748])).
% 73.88/47.03 tff(28753,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28754,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28755,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 73.88/47.03 tff(28756,plain,
% 73.88/47.03 (~v198(constB45)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28755, 4412, 28752])).
% 73.88/47.03 tff(28757,assumption,(v18(constB46)), introduced(assumption)).
% 73.88/47.03 tff(28758,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB46))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28759,plain,
% 73.88/47.03 ($false),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28758, 58, 28757])).
% 73.88/47.03 tff(28760,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.03 tff(28761,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28762,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28763,plain,
% 73.88/47.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28762, 28761])).
% 73.88/47.03 tff(28764,plain,
% 73.88/47.03 (v22(constB46)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28763, 71, 6985])).
% 73.88/47.03 tff(28765,plain,
% 73.88/47.03 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 73.88/47.03 inference(rewrite,[status(thm)],[])).
% 73.88/47.03 tff(28766,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 73.88/47.03 inference(quant_inst,[status(thm)],[])).
% 73.88/47.03 tff(28767,plain,
% 73.88/47.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46)),
% 73.88/47.03 inference(modus_ponens,[status(thm)],[28766, 28765])).
% 73.88/47.03 tff(28768,plain,
% 73.88/47.03 ((~v19(constB46)) | v18(constB46)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28767, 85, 28764])).
% 73.88/47.03 tff(28769,plain,
% 73.88/47.03 (~v19(constB46)),
% 73.88/47.03 inference(unit_resolution,[status(thm)],[28768, 28760])).
% 73.88/47.03 tff(28770,plain,
% 73.88/47.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28771,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28772,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28771, 28770])).
% 73.88/47.04 tff(28773,plain,
% 73.88/47.04 (v13(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28772, 100, 28769])).
% 73.88/47.04 tff(28774,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28775,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28776,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28775, 28774])).
% 73.88/47.04 tff(28777,plain,
% 73.88/47.04 ((~v13(constB46)) | v9(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28776, 117, 6922])).
% 73.88/47.04 tff(28778,plain,
% 73.88/47.04 (v9(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28777, 28773])).
% 73.88/47.04 tff(28779,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28780,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28781,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 73.88/47.04 tff(28782,plain,
% 73.88/47.04 ((~v9(constB45)) | v197(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28781, 4454, 6821])).
% 73.88/47.04 tff(28783,plain,
% 73.88/47.04 (v197(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28782, 28778])).
% 73.88/47.04 tff(28784,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB45) | (~v197(constB45)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB45) | (~v197(constB45)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28785,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB45) | (~v197(constB45)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28786,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB45) | (~v197(constB45))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 73.88/47.04 tff(28787,plain,
% 73.88/47.04 (v196(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28786, 4466, 28783])).
% 73.88/47.04 tff(28788,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28789,plain,
% 73.88/47.04 (((~v196(constB45)) | (~v194(constB45))) <=> ((~v194(constB45)) | (~v196(constB45)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28790,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45))))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28789])).
% 73.88/47.04 tff(28791,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45)))),
% 73.88/47.04 inference(transitivity,[status(thm)],[28790, 28788])).
% 73.88/47.04 tff(28792,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28793,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 73.88/47.04 tff(28794,plain,
% 73.88/47.04 (~v194(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28793, 4477, 28787])).
% 73.88/47.04 tff(28795,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28796,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28797,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28796, 28795])).
% 73.88/47.04 tff(28798,plain,
% 73.88/47.04 (v198(constB45) | (~v191(constB45))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28797, 4491, 28794])).
% 73.88/47.04 tff(28799,plain,
% 73.88/47.04 (~v191(constB45)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28798, 28756])).
% 73.88/47.04 tff(28800,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28801,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28802,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 73.88/47.04 tff(28803,plain,
% 73.88/47.04 (v191(constB45) | (~v193(constB46))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28802, 4506, 6922])).
% 73.88/47.04 tff(28804,plain,
% 73.88/47.04 (~v193(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28803, 28799])).
% 73.88/47.04 tff(28805,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28806,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28807,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 73.88/47.04 tff(28808,plain,
% 73.88/47.04 (~v194(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28807, 4518, 28804])).
% 73.88/47.04 tff(28809,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28810,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28811,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 73.88/47.04 tff(28812,plain,
% 73.88/47.04 (~v197(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28811, 4529, 6985])).
% 73.88/47.04 tff(28813,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28814,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28815,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28814, 28813])).
% 73.88/47.04 tff(28816,plain,
% 73.88/47.04 (~v200(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28815, 4540, 28812])).
% 73.88/47.04 tff(28817,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28818,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28819,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28818, 28817])).
% 73.88/47.04 tff(28820,plain,
% 73.88/47.04 (~v198(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28819, 4412, 28816])).
% 73.88/47.04 tff(28821,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28822,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28823,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 73.88/47.04 tff(28824,plain,
% 73.88/47.04 (v194(constB46) | (~v191(constB46))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28823, 4491, 28820])).
% 73.88/47.04 tff(28825,plain,
% 73.88/47.04 (~v191(constB46)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28824, 28808])).
% 73.88/47.04 tff(28826,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28827,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28828,plain,
% 73.88/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28827, 28826])).
% 73.88/47.04 tff(28829,plain,
% 73.88/47.04 (v191(constB46) | (~v193(constB47))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28828, 4506, 7333])).
% 73.88/47.04 tff(28830,plain,
% 73.88/47.04 (~v193(constB47)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28829, 28825])).
% 73.88/47.04 tff(28831,plain,
% 73.88/47.04 ($false),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28830, 28695])).
% 73.88/47.04 tff(28832,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.04 tff(28833,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.04 tff(28834,plain,
% 73.88/47.04 (v1(constB164) <=> v1(sK0_VarCurr)),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28833])).
% 73.88/47.04 tff(28835,plain,
% 73.88/47.04 (v1(sK0_VarCurr) <=> v1(constB164)),
% 73.88/47.04 inference(symmetry,[status(thm)],[28834])).
% 73.88/47.04 tff(28836,plain,
% 73.88/47.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28835])).
% 73.88/47.04 tff(28837,plain,
% 73.88/47.04 (~v1(constB164)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[4604, 28836])).
% 73.88/47.04 tff(28838,plain,
% 73.88/47.04 ($false),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[24703, 28837])).
% 73.88/47.04 tff(28839,plain,(~(constB164 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.04 tff(28840,assumption,(constB124 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.04 tff(28841,plain,
% 73.88/47.04 (v1(constB124) <=> v1(sK0_VarCurr)),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28840])).
% 73.88/47.04 tff(28842,plain,
% 73.88/47.04 (v1(sK0_VarCurr) <=> v1(constB124)),
% 73.88/47.04 inference(symmetry,[status(thm)],[28841])).
% 73.88/47.04 tff(28843,plain,
% 73.88/47.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB124))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28842])).
% 73.88/47.04 tff(28844,plain,
% 73.88/47.04 (~v1(constB124)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[4604, 28843])).
% 73.88/47.04 tff(28845,plain,
% 73.88/47.04 ($false),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[19875, 28844])).
% 73.88/47.04 tff(28846,plain,(~(constB124 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.04 tff(28847,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.04 tff(28848,plain,
% 73.88/47.04 (v1(constB198) <=> v1(sK0_VarCurr)),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28847])).
% 73.88/47.04 tff(28849,plain,
% 73.88/47.04 (v1(sK0_VarCurr) <=> v1(constB198)),
% 73.88/47.04 inference(symmetry,[status(thm)],[28848])).
% 73.88/47.04 tff(28850,plain,
% 73.88/47.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28849])).
% 73.88/47.04 tff(28851,plain,
% 73.88/47.04 (~v1(constB198)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[4604, 28850])).
% 73.88/47.04 tff(28852,plain,
% 73.88/47.04 (v1(constB198) <=> v1(constB198)),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28853,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 73.88/47.04 tff(28854,plain,
% 73.88/47.04 (v1(constB198)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 73.88/47.04 tff(28855,plain,
% 73.88/47.04 ($false),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28854, 28851])).
% 73.88/47.04 tff(28856,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.04 tff(28857,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.04 tff(28858,plain,
% 73.88/47.04 (v1(constB156) <=> v1(sK0_VarCurr)),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28857])).
% 73.88/47.04 tff(28859,plain,
% 73.88/47.04 (v1(sK0_VarCurr) <=> v1(constB156)),
% 73.88/47.04 inference(symmetry,[status(thm)],[28858])).
% 73.88/47.04 tff(28860,plain,
% 73.88/47.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28859])).
% 73.88/47.04 tff(28861,plain,
% 73.88/47.04 (~v1(constB156)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[4604, 28860])).
% 73.88/47.04 tff(28862,plain,
% 73.88/47.04 ($false),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[23614, 28861])).
% 73.88/47.04 tff(28863,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.88/47.04 tff(28864,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 73.88/47.04 tff(28865,plain,
% 73.88/47.04 (v193(constB113) <=> v193(sK0_VarCurr)),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28864])).
% 73.88/47.04 tff(28866,plain,
% 73.88/47.04 (v193(sK0_VarCurr) <=> v193(constB113)),
% 73.88/47.04 inference(symmetry,[status(thm)],[28865])).
% 73.88/47.04 tff(28867,plain,
% 73.88/47.04 (v193(constB113)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[17, 28866])).
% 73.88/47.04 tff(28868,plain,
% 73.88/47.04 (~v130(constB107, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18088, 1587, 18004])).
% 73.88/47.04 tff(28869,plain,
% 73.88/47.04 (~v127(constB107, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18096, 28868])).
% 73.88/47.04 tff(28870,plain,
% 73.88/47.04 (~v129(constB108, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18101, 28869])).
% 73.88/47.04 tff(28871,plain,
% 73.88/47.04 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18109, 1304, 28870])).
% 73.88/47.04 tff(28872,plain,
% 73.88/47.04 (~v90(constB108, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28871, 18084])).
% 73.88/47.04 tff(28873,plain,
% 73.88/47.04 (~v90(constB109, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18137, 28872])).
% 73.88/47.04 tff(28874,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28875,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28876,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28875, 28874])).
% 73.88/47.04 tff(28877,plain,
% 73.88/47.04 (~v88(constB109, bitIndex2)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28876, 12119, 28873])).
% 73.88/47.04 tff(28878,plain,
% 73.88/47.04 (~v130(constB107, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18141, 1690, 18004])).
% 73.88/47.04 tff(28879,plain,
% 73.88/47.04 (~v127(constB107, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18149, 28878])).
% 73.88/47.04 tff(28880,plain,
% 73.88/47.04 (~v129(constB108, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18154, 28879])).
% 73.88/47.04 tff(28881,plain,
% 73.88/47.04 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18161, 802, 28880])).
% 73.88/47.04 tff(28882,plain,
% 73.88/47.04 (~v90(constB108, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28881, 18084])).
% 73.88/47.04 tff(28883,plain,
% 73.88/47.04 (~v90(constB109, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18171, 28882])).
% 73.88/47.04 tff(28884,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28885,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28886,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 73.88/47.04 tff(28887,plain,
% 73.88/47.04 (~v88(constB109, bitIndex0)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28886, 4274, 28883])).
% 73.88/47.04 tff(28888,plain,
% 73.88/47.04 (v130(constB107, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18175, 1649, 18004])).
% 73.88/47.04 tff(28889,plain,
% 73.88/47.04 (v127(constB107, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18180, 28888])).
% 73.88/47.04 tff(28890,plain,
% 73.88/47.04 (v129(constB108, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18185, 28889])).
% 73.88/47.04 tff(28891,plain,
% 73.88/47.04 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18192, 1020, 28890])).
% 73.88/47.04 tff(28892,plain,
% 73.88/47.04 (v90(constB108, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28891, 18084])).
% 73.88/47.04 tff(28893,plain,
% 73.88/47.04 (v90(constB109, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[18202, 28892])).
% 73.88/47.04 tff(28894,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28895,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28896,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28895, 28894])).
% 73.88/47.04 tff(28897,plain,
% 73.88/47.04 (v88(constB109, bitIndex1)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28896, 4297, 28893])).
% 73.88/47.04 tff(28898,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28899,plain,
% 73.88/47.04 ((v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109)) <=> (v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28900,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109)))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28899])).
% 73.88/47.04 tff(28901,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 73.88/47.04 inference(transitivity,[status(thm)],[28900, 28898])).
% 73.88/47.04 tff(28902,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28903,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | v143(constB109)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 73.88/47.04 tff(28904,plain,
% 73.88/47.04 (v143(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28903, 28498, 28897, 28887, 28877])).
% 73.88/47.04 tff(28905,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB109) | (~v143(constB109)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB109) | (~v143(constB109)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28906,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB109) | (~v143(constB109)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28907,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB109) | (~v143(constB109))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 73.88/47.04 tff(28908,plain,
% 73.88/47.04 (v142(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28907, 28512, 28904])).
% 73.88/47.04 tff(28909,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB109) | (~v142(constB109)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28910,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB109) | (~v142(constB109)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28911,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB109) | (~v142(constB109))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 73.88/47.04 tff(28912,plain,
% 73.88/47.04 (v167(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28911, 4337, 28908])).
% 73.88/47.04 tff(28913,plain,
% 73.88/47.04 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28914,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28915,plain,
% 73.88/47.04 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 73.88/47.04 tff(28916,plain,
% 73.88/47.04 (~v170(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28915, 4351, 28912])).
% 73.88/47.04 tff(28917,plain,
% 73.88/47.04 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28918,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28919,plain,
% 73.88/47.04 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109))),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 73.88/47.04 tff(28920,plain,
% 73.88/47.04 (v166(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28919, 4362, 28912])).
% 73.88/47.04 tff(28921,plain,
% 73.88/47.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | (~v166(constB109)) | v170(constB109))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28922,plain,
% 73.88/47.04 (((~v166(constB109)) | v170(constB109) | (~v163(constB109))) <=> ((~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28923,plain,
% 73.88/47.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | (~v166(constB109)) | v170(constB109)))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28922])).
% 73.88/47.04 tff(28924,plain,
% 73.88/47.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 73.88/47.04 inference(transitivity,[status(thm)],[28923, 28921])).
% 73.88/47.04 tff(28925,plain,
% 73.88/47.04 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))),
% 73.88/47.04 inference(quant_inst,[status(thm)],[])).
% 73.88/47.04 tff(28926,plain,
% 73.88/47.04 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109)),
% 73.88/47.04 inference(modus_ponens,[status(thm)],[28925, 28924])).
% 73.88/47.04 tff(28927,plain,
% 73.88/47.04 (~v163(constB109)),
% 73.88/47.04 inference(unit_resolution,[status(thm)],[28926, 4376, 28920, 28916])).
% 73.88/47.04 tff(28928,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28929,plain,
% 73.88/47.04 (((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110))) <=> (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 73.88/47.04 inference(rewrite,[status(thm)],[])).
% 73.88/47.04 tff(28930,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))))),
% 73.88/47.04 inference(monotonicity,[status(thm)],[28929])).
% 73.88/47.04 tff(28931,plain,
% 73.88/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 73.89/47.04 inference(transitivity,[status(thm)],[28930, 28928])).
% 73.89/47.04 tff(28932,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28933,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 73.89/47.04 tff(28934,plain,
% 73.89/47.04 (v163(constB109) | (~v186(constB110))),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28933, 12267, 18247])).
% 73.89/47.04 tff(28935,plain,
% 73.89/47.04 (~v186(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28934, 28927])).
% 73.89/47.04 tff(28936,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28937,plain,
% 73.89/47.04 (((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110)) <=> ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28938,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)))),
% 73.89/47.04 inference(monotonicity,[status(thm)],[28937])).
% 73.89/47.04 tff(28939,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 73.89/47.04 inference(transitivity,[status(thm)],[28938, 28936])).
% 73.89/47.04 tff(28940,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28941,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 73.89/47.04 tff(28942,plain,
% 73.89/47.04 (v181(constB110) | v104(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28941, 12289, 18247])).
% 73.89/47.04 tff(28943,plain,
% 73.89/47.04 (v181(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28942, 18259])).
% 73.89/47.04 tff(28944,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28945,plain,
% 73.89/47.04 (((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110))) <=> ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28946,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))))),
% 73.89/47.04 inference(monotonicity,[status(thm)],[28945])).
% 73.89/47.04 tff(28947,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 73.89/47.04 inference(transitivity,[status(thm)],[28946, 28944])).
% 73.89/47.04 tff(28948,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28949,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 73.89/47.04 tff(28950,plain,
% 73.89/47.04 (v180(constB110) | (~v181(constB110))),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28949, 12310, 18247, 18270])).
% 73.89/47.04 tff(28951,plain,
% 73.89/47.04 (v180(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28950, 28943])).
% 73.89/47.04 tff(28952,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28953,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28954,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110))),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28953, 28952])).
% 73.89/47.04 tff(28955,plain,
% 73.89/47.04 (v179(constB110) | (~v180(constB110))),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28954, 12328, 18247])).
% 73.89/47.04 tff(28956,plain,
% 73.89/47.04 (v179(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28955, 28951])).
% 73.89/47.04 tff(28957,plain,
% 73.89/47.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB110)) | v186(constB110) | (~v179(constB110)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28958,plain,
% 73.89/47.04 (((~v179(constB110)) | (~v159(constB110)) | v186(constB110)) <=> ((~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28959,plain,
% 73.89/47.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB110)) | v186(constB110) | (~v179(constB110))))),
% 73.89/47.04 inference(monotonicity,[status(thm)],[28958])).
% 73.89/47.04 tff(28960,plain,
% 73.89/47.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 73.89/47.04 inference(transitivity,[status(thm)],[28959, 28957])).
% 73.89/47.04 tff(28961,plain,
% 73.89/47.04 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28962,plain,
% 73.89/47.04 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110))),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 73.89/47.04 tff(28963,plain,
% 73.89/47.04 ((~v159(constB110)) | v186(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28962, 12343, 28956])).
% 73.89/47.04 tff(28964,plain,
% 73.89/47.04 (~v159(constB110)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28963, 28935])).
% 73.89/47.04 tff(28965,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28966,plain,
% 73.89/47.04 (((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111))) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28967,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))))),
% 73.89/47.04 inference(monotonicity,[status(thm)],[28966])).
% 73.89/47.04 tff(28968,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 73.89/47.04 inference(transitivity,[status(thm)],[28967, 28965])).
% 73.89/47.04 tff(28969,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))),
% 73.89/47.04 inference(quant_inst,[status(thm)],[])).
% 73.89/47.04 tff(28970,plain,
% 73.89/47.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))),
% 73.89/47.04 inference(modus_ponens,[status(thm)],[28969, 28968])).
% 73.89/47.04 tff(28971,plain,
% 73.89/47.04 (~v180(constB111)),
% 73.89/47.04 inference(unit_resolution,[status(thm)],[28970, 12367, 18318, 18315])).
% 73.89/47.04 tff(28972,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28973,plain,
% 73.89/47.04 (((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111)) <=> ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 73.89/47.04 inference(rewrite,[status(thm)],[])).
% 73.89/47.04 tff(28974,plain,
% 73.89/47.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111))))),
% 73.89/47.04 inference(monotonicity,[status(thm)],[28973])).
% 73.89/47.04 tff(28975,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[28974, 28972])).
% 73.89/47.05 tff(28976,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(28977,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[28976, 28975])).
% 73.89/47.05 tff(28978,plain,
% 73.89/47.05 (v180(constB111) | (~v179(constB111))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28977, 12384, 18318])).
% 73.89/47.05 tff(28979,plain,
% 73.89/47.05 (~v179(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28978, 28971])).
% 73.89/47.05 tff(28980,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(28981,plain,
% 73.89/47.05 (((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111))) <=> (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(28982,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[28981])).
% 73.89/47.05 tff(28983,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[28982, 28980])).
% 73.89/47.05 tff(28984,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(28985,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[28984, 28983])).
% 73.89/47.05 tff(28986,plain,
% 73.89/47.05 (v159(constB110) | v179(constB111) | (~v159(constB111))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28985, 12402, 18318])).
% 73.89/47.05 tff(28987,plain,
% 73.89/47.05 (v159(constB110) | (~v159(constB111))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28986, 28979])).
% 73.89/47.05 tff(28988,plain,
% 73.89/47.05 (~v159(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28987, 28964])).
% 73.89/47.05 tff(28989,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(28990,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(28991,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[28990, 28989])).
% 73.89/47.05 tff(28992,plain,
% 73.89/47.05 (~v201(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28991, 12418, 28988])).
% 73.89/47.05 tff(28993,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(28994,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(28995,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 73.89/47.05 tff(28996,plain,
% 73.89/47.05 (~v200(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28995, 4401, 28992])).
% 73.89/47.05 tff(28997,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(28998,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(28999,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[28998, 28997])).
% 73.89/47.05 tff(29000,plain,
% 73.89/47.05 (~v198(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[28999, 4412, 28996])).
% 73.89/47.05 tff(29001,assumption,(v18(constB112)), introduced(assumption)).
% 73.89/47.05 tff(29002,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB112))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29003,plain,
% 73.89/47.05 ($false),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29002, 58, 29001])).
% 73.89/47.05 tff(29004,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.05 tff(29005,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29006,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29007,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 73.89/47.05 tff(29008,plain,
% 73.89/47.05 (v22(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29007, 71, 18462])).
% 73.89/47.05 tff(29009,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29010,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29011,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 73.89/47.05 tff(29012,plain,
% 73.89/47.05 ((~v19(constB112)) | v18(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29011, 85, 29008])).
% 73.89/47.05 tff(29013,plain,
% 73.89/47.05 (~v19(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29012, 29004])).
% 73.89/47.05 tff(29014,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29015,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29016,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 73.89/47.05 tff(29017,plain,
% 73.89/47.05 (v13(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29016, 100, 29013])).
% 73.89/47.05 tff(29018,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29019,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29020,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29019, 29018])).
% 73.89/47.05 tff(29021,plain,
% 73.89/47.05 ((~v13(constB112)) | v9(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29020, 117, 18439])).
% 73.89/47.05 tff(29022,plain,
% 73.89/47.05 (v9(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29021, 29017])).
% 73.89/47.05 tff(29023,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29024,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29025,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29024, 29023])).
% 73.89/47.05 tff(29026,plain,
% 73.89/47.05 ((~v9(constB111)) | v197(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29025, 4454, 18315])).
% 73.89/47.05 tff(29027,plain,
% 73.89/47.05 (v197(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29026, 29022])).
% 73.89/47.05 tff(29028,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB111) | (~v197(constB111)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB111) | (~v197(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29029,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB111) | (~v197(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29030,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB111) | (~v197(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 73.89/47.05 tff(29031,plain,
% 73.89/47.05 (v196(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29030, 4466, 29027])).
% 73.89/47.05 tff(29032,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29033,plain,
% 73.89/47.05 (((~v196(constB111)) | (~v194(constB111))) <=> ((~v194(constB111)) | (~v196(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29034,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29033])).
% 73.89/47.05 tff(29035,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29034, 29032])).
% 73.89/47.05 tff(29036,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29037,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29036, 29035])).
% 73.89/47.05 tff(29038,plain,
% 73.89/47.05 (~v194(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29037, 4477, 29031])).
% 73.89/47.05 tff(29039,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29040,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29041,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29040, 29039])).
% 73.89/47.05 tff(29042,plain,
% 73.89/47.05 (v198(constB111) | (~v191(constB111))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29041, 4491, 29038])).
% 73.89/47.05 tff(29043,plain,
% 73.89/47.05 (~v191(constB111)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29042, 29000])).
% 73.89/47.05 tff(29044,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29045,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29046,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29045, 29044])).
% 73.89/47.05 tff(29047,plain,
% 73.89/47.05 (v191(constB111) | (~v193(constB112))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29046, 4506, 18439])).
% 73.89/47.05 tff(29048,plain,
% 73.89/47.05 (~v193(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29047, 29043])).
% 73.89/47.05 tff(29049,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29050,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29051,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29050, 29049])).
% 73.89/47.05 tff(29052,plain,
% 73.89/47.05 (~v194(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29051, 4518, 29048])).
% 73.89/47.05 tff(29053,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29054,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29055,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29054, 29053])).
% 73.89/47.05 tff(29056,plain,
% 73.89/47.05 (~v197(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29055, 4529, 18462])).
% 73.89/47.05 tff(29057,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29058,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29059,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 73.89/47.05 tff(29060,plain,
% 73.89/47.05 (~v200(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29059, 4540, 29056])).
% 73.89/47.05 tff(29061,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29062,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29063,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29062, 29061])).
% 73.89/47.05 tff(29064,plain,
% 73.89/47.05 (~v198(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29063, 4412, 29060])).
% 73.89/47.05 tff(29065,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29066,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29067,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 73.89/47.05 tff(29068,plain,
% 73.89/47.05 (v194(constB112) | (~v191(constB112))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29067, 4491, 29064])).
% 73.89/47.05 tff(29069,plain,
% 73.89/47.05 (~v191(constB112)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29068, 29052])).
% 73.89/47.05 tff(29070,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29071,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29072,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29071, 29070])).
% 73.89/47.05 tff(29073,plain,
% 73.89/47.05 (v191(constB112) | (~v193(constB113))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29072, 4506, 18507])).
% 73.89/47.05 tff(29074,plain,
% 73.89/47.05 (~v193(constB113)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29073, 29069])).
% 73.89/47.05 tff(29075,plain,
% 73.89/47.05 ($false),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29074, 28867])).
% 73.89/47.05 tff(29076,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.05 tff(29077,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.05 tff(29078,plain,
% 73.89/47.05 (v1(constB180) <=> v1(sK0_VarCurr)),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29077])).
% 73.89/47.05 tff(29079,plain,
% 73.89/47.05 (v1(sK0_VarCurr) <=> v1(constB180)),
% 73.89/47.05 inference(symmetry,[status(thm)],[29078])).
% 73.89/47.05 tff(29080,plain,
% 73.89/47.05 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29079])).
% 73.89/47.05 tff(29081,plain,
% 73.89/47.05 (~v1(constB180)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[4604, 29080])).
% 73.89/47.05 tff(29082,plain,
% 73.89/47.05 ($false),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[26915, 29081])).
% 73.89/47.05 tff(29083,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.05 tff(29084,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.05 tff(29085,plain,
% 73.89/47.05 (v193(constB191) <=> v193(sK0_VarCurr)),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29084])).
% 73.89/47.05 tff(29086,plain,
% 73.89/47.05 (v193(sK0_VarCurr) <=> v193(constB191)),
% 73.89/47.05 inference(symmetry,[status(thm)],[29085])).
% 73.89/47.05 tff(29087,plain,
% 73.89/47.05 (v193(constB191)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[17, 29086])).
% 73.89/47.05 tff(29088,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29089,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29090,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29089, 29088])).
% 73.89/47.05 tff(29091,plain,
% 73.89/47.05 (~v88(constB187, bitIndex2)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29090, 12119, 27777])).
% 73.89/47.05 tff(29092,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29093,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29094,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29093, 29092])).
% 73.89/47.05 tff(29095,plain,
% 73.89/47.05 (~v88(constB187, bitIndex1)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29094, 25107, 27814])).
% 73.89/47.05 tff(29096,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29097,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29098,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29097, 29096])).
% 73.89/47.05 tff(29099,plain,
% 73.89/47.05 (v88(constB187, bitIndex0)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29098, 12199, 27848])).
% 73.89/47.05 tff(29100,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29101,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29102,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 73.89/47.05 tff(29103,plain,
% 73.89/47.05 (v140(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29102, 25221, 29099, 29095, 29091])).
% 73.89/47.05 tff(29104,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB187) | (~v140(constB187)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB187) | (~v140(constB187)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29105,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB187) | (~v140(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29106,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB187) | (~v140(constB187))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 73.89/47.05 tff(29107,plain,
% 73.89/47.05 (v169(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29106, 25235, 29103])).
% 73.89/47.05 tff(29108,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB187) | (~v169(constB187)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB187) | (~v169(constB187)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29109,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB187) | (~v169(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29110,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB187) | (~v169(constB187))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 73.89/47.05 tff(29111,plain,
% 73.89/47.05 (v168(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29110, 25246, 29107])).
% 73.89/47.05 tff(29112,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB187) | (~v168(constB187)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29113,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB187) | (~v168(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29114,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB187) | (~v168(constB187))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 73.89/47.05 tff(29115,plain,
% 73.89/47.05 (v167(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29114, 12235, 29111])).
% 73.89/47.05 tff(29116,plain,
% 73.89/47.05 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29117,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29118,plain,
% 73.89/47.05 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 73.89/47.05 tff(29119,plain,
% 73.89/47.05 (~v170(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29118, 4351, 29115])).
% 73.89/47.05 tff(29120,plain,
% 73.89/47.05 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29121,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29122,plain,
% 73.89/47.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 73.89/47.05 tff(29123,plain,
% 73.89/47.05 (v166(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29122, 4362, 29115])).
% 73.89/47.05 tff(29124,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29125,plain,
% 73.89/47.05 (((~v166(constB187)) | v170(constB187) | (~v163(constB187))) <=> ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29126,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187)))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29125])).
% 73.89/47.05 tff(29127,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29126, 29124])).
% 73.89/47.05 tff(29128,plain,
% 73.89/47.05 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29129,plain,
% 73.89/47.05 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 73.89/47.05 tff(29130,plain,
% 73.89/47.05 (~v163(constB187)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29129, 4376, 29123, 29119])).
% 73.89/47.05 tff(29131,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29132,plain,
% 73.89/47.05 (((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188))) <=> (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29133,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29132])).
% 73.89/47.05 tff(29134,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29133, 29131])).
% 73.89/47.05 tff(29135,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29136,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 73.89/47.05 tff(29137,plain,
% 73.89/47.05 (v163(constB187) | (~v186(constB188))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29136, 12267, 27898])).
% 73.89/47.05 tff(29138,plain,
% 73.89/47.05 (~v186(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29137, 29130])).
% 73.89/47.05 tff(29139,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29140,plain,
% 73.89/47.05 (((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188)) <=> ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29141,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29140])).
% 73.89/47.05 tff(29142,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29141, 29139])).
% 73.89/47.05 tff(29143,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29144,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 73.89/47.05 tff(29145,plain,
% 73.89/47.05 (v181(constB188) | v104(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29144, 12289, 27898])).
% 73.89/47.05 tff(29146,plain,
% 73.89/47.05 (v181(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29145, 27910])).
% 73.89/47.05 tff(29147,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29148,plain,
% 73.89/47.05 (((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188))) <=> ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29149,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29148])).
% 73.89/47.05 tff(29150,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29149, 29147])).
% 73.89/47.05 tff(29151,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29152,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 73.89/47.05 tff(29153,plain,
% 73.89/47.05 (v180(constB188) | (~v181(constB188))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29152, 12310, 27898, 27921])).
% 73.89/47.05 tff(29154,plain,
% 73.89/47.05 (v180(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29153, 29146])).
% 73.89/47.05 tff(29155,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29156,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29157,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 73.89/47.05 tff(29158,plain,
% 73.89/47.05 (v179(constB188) | (~v180(constB188))),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29157, 12328, 27898])).
% 73.89/47.05 tff(29159,plain,
% 73.89/47.05 (v179(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29158, 29154])).
% 73.89/47.05 tff(29160,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB188)) | v186(constB188) | (~v179(constB188)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29161,plain,
% 73.89/47.05 (((~v179(constB188)) | (~v159(constB188)) | v186(constB188)) <=> ((~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29162,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB188)) | v186(constB188) | (~v179(constB188))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29161])).
% 73.89/47.05 tff(29163,plain,
% 73.89/47.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29162, 29160])).
% 73.89/47.05 tff(29164,plain,
% 73.89/47.05 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29165,plain,
% 73.89/47.05 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 73.89/47.05 tff(29166,plain,
% 73.89/47.05 ((~v159(constB188)) | v186(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29165, 12343, 29159])).
% 73.89/47.05 tff(29167,plain,
% 73.89/47.05 (~v159(constB188)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29166, 29138])).
% 73.89/47.05 tff(29168,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29169,plain,
% 73.89/47.05 (((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189))) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 73.89/47.05 inference(rewrite,[status(thm)],[])).
% 73.89/47.05 tff(29170,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))))),
% 73.89/47.05 inference(monotonicity,[status(thm)],[29169])).
% 73.89/47.05 tff(29171,plain,
% 73.89/47.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 73.89/47.05 inference(transitivity,[status(thm)],[29170, 29168])).
% 73.89/47.05 tff(29172,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))),
% 73.89/47.05 inference(quant_inst,[status(thm)],[])).
% 73.89/47.05 tff(29173,plain,
% 73.89/47.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))),
% 73.89/47.05 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 73.89/47.05 tff(29174,plain,
% 73.89/47.05 (~v180(constB189)),
% 73.89/47.05 inference(unit_resolution,[status(thm)],[29173, 12367, 27969, 27966])).
% 73.89/47.06 tff(29175,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29176,plain,
% 73.89/47.06 (((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189)) <=> ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29177,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29176])).
% 73.89/47.06 tff(29178,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29177, 29175])).
% 73.89/47.06 tff(29179,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29180,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29179, 29178])).
% 73.89/47.06 tff(29181,plain,
% 73.89/47.06 (v180(constB189) | (~v179(constB189))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29180, 12384, 27969])).
% 73.89/47.06 tff(29182,plain,
% 73.89/47.06 (~v179(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29181, 29174])).
% 73.89/47.06 tff(29183,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29184,plain,
% 73.89/47.06 (((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189))) <=> (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29185,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29184])).
% 73.89/47.06 tff(29186,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29185, 29183])).
% 73.89/47.06 tff(29187,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29188,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 73.89/47.06 tff(29189,plain,
% 73.89/47.06 (v159(constB188) | v179(constB189) | (~v159(constB189))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29188, 12402, 27969])).
% 73.89/47.06 tff(29190,plain,
% 73.89/47.06 (v159(constB188) | (~v159(constB189))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29189, 29182])).
% 73.89/47.06 tff(29191,plain,
% 73.89/47.06 (~v159(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29190, 29167])).
% 73.89/47.06 tff(29192,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29193,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29194,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29193, 29192])).
% 73.89/47.06 tff(29195,plain,
% 73.89/47.06 (~v201(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29194, 12418, 29191])).
% 73.89/47.06 tff(29196,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29197,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29198,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 73.89/47.06 tff(29199,plain,
% 73.89/47.06 (~v200(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29198, 4401, 29195])).
% 73.89/47.06 tff(29200,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29201,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29202,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 73.89/47.06 tff(29203,plain,
% 73.89/47.06 (~v198(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29202, 4412, 29199])).
% 73.89/47.06 tff(29204,assumption,(v18(constB190)), introduced(assumption)).
% 73.89/47.06 tff(29205,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29206,plain,
% 73.89/47.06 ($false),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29205, 58, 29204])).
% 73.89/47.06 tff(29207,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.06 tff(29208,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29209,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29210,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 73.89/47.06 tff(29211,plain,
% 73.89/47.06 (v22(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29210, 71, 28118])).
% 73.89/47.06 tff(29212,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29213,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29214,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29213, 29212])).
% 73.89/47.06 tff(29215,plain,
% 73.89/47.06 ((~v19(constB190)) | v18(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29214, 85, 29211])).
% 73.89/47.06 tff(29216,plain,
% 73.89/47.06 (~v19(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29215, 29207])).
% 73.89/47.06 tff(29217,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29218,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29219,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29218, 29217])).
% 73.89/47.06 tff(29220,plain,
% 73.89/47.06 (v13(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29219, 100, 29216])).
% 73.89/47.06 tff(29221,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29222,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29223,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 73.89/47.06 tff(29224,plain,
% 73.89/47.06 ((~v13(constB190)) | v9(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29223, 117, 28095])).
% 73.89/47.06 tff(29225,plain,
% 73.89/47.06 (v9(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29224, 29220])).
% 73.89/47.06 tff(29226,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29227,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29228,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29227, 29226])).
% 73.89/47.06 tff(29229,plain,
% 73.89/47.06 ((~v9(constB189)) | v197(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29228, 4454, 27966])).
% 73.89/47.06 tff(29230,plain,
% 73.89/47.06 (v197(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29229, 29225])).
% 73.89/47.06 tff(29231,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB189) | (~v197(constB189)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB189) | (~v197(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29232,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB189) | (~v197(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29233,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB189) | (~v197(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29232, 29231])).
% 73.89/47.06 tff(29234,plain,
% 73.89/47.06 (v196(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29233, 4466, 29230])).
% 73.89/47.06 tff(29235,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29236,plain,
% 73.89/47.06 (((~v196(constB189)) | (~v194(constB189))) <=> ((~v194(constB189)) | (~v196(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29237,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29236])).
% 73.89/47.06 tff(29238,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29237, 29235])).
% 73.89/47.06 tff(29239,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29240,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29239, 29238])).
% 73.89/47.06 tff(29241,plain,
% 73.89/47.06 (~v194(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29240, 4477, 29234])).
% 73.89/47.06 tff(29242,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29243,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29244,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29243, 29242])).
% 73.89/47.06 tff(29245,plain,
% 73.89/47.06 (v198(constB189) | (~v191(constB189))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29244, 4491, 29241])).
% 73.89/47.06 tff(29246,plain,
% 73.89/47.06 (~v191(constB189)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29245, 29203])).
% 73.89/47.06 tff(29247,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29248,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29249,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29248, 29247])).
% 73.89/47.06 tff(29250,plain,
% 73.89/47.06 (v191(constB189) | (~v193(constB190))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29249, 4506, 28095])).
% 73.89/47.06 tff(29251,plain,
% 73.89/47.06 (~v193(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29250, 29246])).
% 73.89/47.06 tff(29252,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29253,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29254,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 73.89/47.06 tff(29255,plain,
% 73.89/47.06 (~v194(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29254, 4518, 29251])).
% 73.89/47.06 tff(29256,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29257,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29258,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 73.89/47.06 tff(29259,plain,
% 73.89/47.06 (~v197(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29258, 4529, 28118])).
% 73.89/47.06 tff(29260,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29261,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29262,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29261, 29260])).
% 73.89/47.06 tff(29263,plain,
% 73.89/47.06 (~v200(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29262, 4540, 29259])).
% 73.89/47.06 tff(29264,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29265,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29266,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29265, 29264])).
% 73.89/47.06 tff(29267,plain,
% 73.89/47.06 (~v198(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29266, 4412, 29263])).
% 73.89/47.06 tff(29268,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29269,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29270,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29269, 29268])).
% 73.89/47.06 tff(29271,plain,
% 73.89/47.06 (v194(constB190) | (~v191(constB190))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29270, 4491, 29267])).
% 73.89/47.06 tff(29272,plain,
% 73.89/47.06 (~v191(constB190)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29271, 29255])).
% 73.89/47.06 tff(29273,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29274,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29275,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29274, 29273])).
% 73.89/47.06 tff(29276,plain,
% 73.89/47.06 (v191(constB190) | (~v193(constB191))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29275, 4506, 28166])).
% 73.89/47.06 tff(29277,plain,
% 73.89/47.06 (~v193(constB191)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29276, 29272])).
% 73.89/47.06 tff(29278,plain,
% 73.89/47.06 ($false),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29277, 29087])).
% 73.89/47.06 tff(29279,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.06 tff(29280,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.06 tff(29281,plain,
% 73.89/47.06 (v193(constB9) <=> v193(sK0_VarCurr)),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29280])).
% 73.89/47.06 tff(29282,plain,
% 73.89/47.06 (v193(sK0_VarCurr) <=> v193(constB9)),
% 73.89/47.06 inference(symmetry,[status(thm)],[29281])).
% 73.89/47.06 tff(29283,plain,
% 73.89/47.06 (v193(constB9)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[17, 29282])).
% 73.89/47.06 tff(29284,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29285,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29286,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 73.89/47.06 tff(29287,plain,
% 73.89/47.06 (~v88(constB5, bitIndex0)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29286, 4274, 1091])).
% 73.89/47.06 tff(29288,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29289,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29290,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 73.89/47.06 tff(29291,plain,
% 73.89/47.06 (v88(constB5, bitIndex2)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29290, 4229, 966])).
% 73.89/47.06 tff(29292,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29293,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29294,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 73.89/47.06 tff(29295,plain,
% 73.89/47.06 (v88(constB5, bitIndex1)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29294, 4297, 1047])).
% 73.89/47.06 tff(29296,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29297,plain,
% 73.89/47.06 (((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5)) <=> (v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29298,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29297])).
% 73.89/47.06 tff(29299,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29298, 29296])).
% 73.89/47.06 tff(29300,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29301,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB5) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29300, 29299])).
% 73.89/47.06 tff(29302,plain,
% 73.89/47.06 (v144(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29301, 4311, 29295, 29291, 29287])).
% 73.89/47.06 tff(29303,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB5) | (~v144(constB5)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB5) | (~v144(constB5)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29304,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB5) | (~v144(constB5)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29305,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB5) | (~v144(constB5))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29304, 29303])).
% 73.89/47.06 tff(29306,plain,
% 73.89/47.06 (v142(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29305, 4326, 29302])).
% 73.89/47.06 tff(29307,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB5) | (~v142(constB5)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29308,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB5) | (~v142(constB5)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29309,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB5) | (~v142(constB5))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29308, 29307])).
% 73.89/47.06 tff(29310,plain,
% 73.89/47.06 (v167(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29309, 4337, 29306])).
% 73.89/47.06 tff(29311,plain,
% 73.89/47.06 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29312,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29313,plain,
% 73.89/47.06 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 73.89/47.06 tff(29314,plain,
% 73.89/47.06 (~v170(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29313, 4351, 29310])).
% 73.89/47.06 tff(29315,plain,
% 73.89/47.06 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29316,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29317,plain,
% 73.89/47.06 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 73.89/47.06 tff(29318,plain,
% 73.89/47.06 (v166(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29317, 4362, 29310])).
% 73.89/47.06 tff(29319,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29320,plain,
% 73.89/47.06 (((~v166(constB5)) | v170(constB5) | (~v163(constB5))) <=> ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29321,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5)))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29320])).
% 73.89/47.06 tff(29322,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29321, 29319])).
% 73.89/47.06 tff(29323,plain,
% 73.89/47.06 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29324,plain,
% 73.89/47.06 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29323, 29322])).
% 73.89/47.06 tff(29325,plain,
% 73.89/47.06 (~v163(constB5)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29324, 4376, 29318, 29314])).
% 73.89/47.06 tff(29326,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29327,plain,
% 73.89/47.06 (((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6))) <=> (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29328,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29327])).
% 73.89/47.06 tff(29329,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29328, 29326])).
% 73.89/47.06 tff(29330,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29331,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 73.89/47.06 tff(29332,plain,
% 73.89/47.06 (v163(constB5) | (~v186(constB6))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29331, 12267, 1135])).
% 73.89/47.06 tff(29333,plain,
% 73.89/47.06 (~v186(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29332, 29325])).
% 73.89/47.06 tff(29334,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29335,plain,
% 73.89/47.06 (((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6)) <=> ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29336,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29335])).
% 73.89/47.06 tff(29337,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29336, 29334])).
% 73.89/47.06 tff(29338,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29339,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 73.89/47.06 tff(29340,plain,
% 73.89/47.06 (v181(constB6) | v104(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29339, 12289, 1135])).
% 73.89/47.06 tff(29341,plain,
% 73.89/47.06 (v181(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29340, 1147])).
% 73.89/47.06 tff(29342,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29343,plain,
% 73.89/47.06 (((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6))) <=> ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29344,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29343])).
% 73.89/47.06 tff(29345,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29344, 29342])).
% 73.89/47.06 tff(29346,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29347,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 73.89/47.06 tff(29348,plain,
% 73.89/47.06 (v180(constB6) | (~v181(constB6))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29347, 12310, 1135, 1158])).
% 73.89/47.06 tff(29349,plain,
% 73.89/47.06 (v180(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29348, 29341])).
% 73.89/47.06 tff(29350,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29351,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29352,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 73.89/47.06 tff(29353,plain,
% 73.89/47.06 (v179(constB6) | (~v180(constB6))),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29352, 12328, 1135])).
% 73.89/47.06 tff(29354,plain,
% 73.89/47.06 (v179(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29353, 29349])).
% 73.89/47.06 tff(29355,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB6)) | v186(constB6) | (~v179(constB6)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29356,plain,
% 73.89/47.06 (((~v179(constB6)) | (~v159(constB6)) | v186(constB6)) <=> ((~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29357,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB6)) | v186(constB6) | (~v179(constB6))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29356])).
% 73.89/47.06 tff(29358,plain,
% 73.89/47.06 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29357, 29355])).
% 73.89/47.06 tff(29359,plain,
% 73.89/47.06 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.06 tff(29360,plain,
% 73.89/47.06 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6))),
% 73.89/47.06 inference(modus_ponens,[status(thm)],[29359, 29358])).
% 73.89/47.06 tff(29361,plain,
% 73.89/47.06 ((~v159(constB6)) | v186(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29360, 12343, 29354])).
% 73.89/47.06 tff(29362,plain,
% 73.89/47.06 (~v159(constB6)),
% 73.89/47.06 inference(unit_resolution,[status(thm)],[29361, 29333])).
% 73.89/47.06 tff(29363,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29364,plain,
% 73.89/47.06 (((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7))) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 73.89/47.06 inference(rewrite,[status(thm)],[])).
% 73.89/47.06 tff(29365,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))))),
% 73.89/47.06 inference(monotonicity,[status(thm)],[29364])).
% 73.89/47.06 tff(29366,plain,
% 73.89/47.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 73.89/47.06 inference(transitivity,[status(thm)],[29365, 29363])).
% 73.89/47.06 tff(29367,plain,
% 73.89/47.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))),
% 73.89/47.06 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29368,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29367, 29366])).
% 73.89/47.07 tff(29369,plain,
% 73.89/47.07 (~v180(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29368, 12367, 1318, 1315])).
% 73.89/47.07 tff(29370,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29371,plain,
% 73.89/47.07 (((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7)) <=> ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29372,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7))))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29371])).
% 73.89/47.07 tff(29373,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29372, 29370])).
% 73.89/47.07 tff(29374,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29375,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 73.89/47.07 tff(29376,plain,
% 73.89/47.07 (v180(constB7) | (~v179(constB7))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29375, 12384, 1318])).
% 73.89/47.07 tff(29377,plain,
% 73.89/47.07 (~v179(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29376, 29369])).
% 73.89/47.07 tff(29378,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29379,plain,
% 73.89/47.07 (((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7))) <=> (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29380,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29379])).
% 73.89/47.07 tff(29381,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29380, 29378])).
% 73.89/47.07 tff(29382,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29383,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 73.89/47.07 tff(29384,plain,
% 73.89/47.07 (v159(constB6) | v179(constB7) | (~v159(constB7))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29383, 12402, 1318])).
% 73.89/47.07 tff(29385,plain,
% 73.89/47.07 (v159(constB6) | (~v159(constB7))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29384, 29377])).
% 73.89/47.07 tff(29386,plain,
% 73.89/47.07 (~v159(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29385, 29362])).
% 73.89/47.07 tff(29387,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29388,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29389,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29388, 29387])).
% 73.89/47.07 tff(29390,plain,
% 73.89/47.07 (~v201(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29389, 12418, 29386])).
% 73.89/47.07 tff(29391,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29392,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29393,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29392, 29391])).
% 73.89/47.07 tff(29394,plain,
% 73.89/47.07 (~v200(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29393, 4401, 29390])).
% 73.89/47.07 tff(29395,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29396,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29397,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29396, 29395])).
% 73.89/47.07 tff(29398,plain,
% 73.89/47.07 (~v198(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29397, 4412, 29394])).
% 73.89/47.07 tff(29399,assumption,(v18(constB8)), introduced(assumption)).
% 73.89/47.07 tff(29400,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB8))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29401,plain,
% 73.89/47.07 ($false),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29400, 58, 29399])).
% 73.89/47.07 tff(29402,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.07 tff(29403,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29404,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29405,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29404, 29403])).
% 73.89/47.07 tff(29406,plain,
% 73.89/47.07 (v22(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29405, 71, 1560])).
% 73.89/47.07 tff(29407,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29408,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29409,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 73.89/47.07 tff(29410,plain,
% 73.89/47.07 ((~v19(constB8)) | v18(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29409, 85, 29406])).
% 73.89/47.07 tff(29411,plain,
% 73.89/47.07 (~v19(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29410, 29402])).
% 73.89/47.07 tff(29412,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29413,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29414,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 73.89/47.07 tff(29415,plain,
% 73.89/47.07 (v13(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29414, 100, 29411])).
% 73.89/47.07 tff(29416,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29417,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29418,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 73.89/47.07 tff(29419,plain,
% 73.89/47.07 ((~v13(constB8)) | v9(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29418, 117, 1537])).
% 73.89/47.07 tff(29420,plain,
% 73.89/47.07 (v9(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29419, 29415])).
% 73.89/47.07 tff(29421,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29422,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29423,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 73.89/47.07 tff(29424,plain,
% 73.89/47.07 ((~v9(constB7)) | v197(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29423, 4454, 1315])).
% 73.89/47.07 tff(29425,plain,
% 73.89/47.07 (v197(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29424, 29420])).
% 73.89/47.07 tff(29426,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB7) | (~v197(constB7)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB7) | (~v197(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29427,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB7) | (~v197(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29428,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB7) | (~v197(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 73.89/47.07 tff(29429,plain,
% 73.89/47.07 (v196(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29428, 4466, 29425])).
% 73.89/47.07 tff(29430,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29431,plain,
% 73.89/47.07 (((~v196(constB7)) | (~v194(constB7))) <=> ((~v194(constB7)) | (~v196(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29432,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7))))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29431])).
% 73.89/47.07 tff(29433,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7)))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29432, 29430])).
% 73.89/47.07 tff(29434,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29435,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 73.89/47.07 tff(29436,plain,
% 73.89/47.07 (~v194(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29435, 4477, 29429])).
% 73.89/47.07 tff(29437,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29438,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29439,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 73.89/47.07 tff(29440,plain,
% 73.89/47.07 (v198(constB7) | (~v191(constB7))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29439, 4491, 29436])).
% 73.89/47.07 tff(29441,plain,
% 73.89/47.07 (~v191(constB7)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29440, 29398])).
% 73.89/47.07 tff(29442,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29443,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29444,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29443, 29442])).
% 73.89/47.07 tff(29445,plain,
% 73.89/47.07 (v191(constB7) | (~v193(constB8))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29444, 4506, 1537])).
% 73.89/47.07 tff(29446,plain,
% 73.89/47.07 (~v193(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29445, 29441])).
% 73.89/47.07 tff(29447,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29448,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29449,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 73.89/47.07 tff(29450,plain,
% 73.89/47.07 (~v194(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29449, 4518, 29446])).
% 73.89/47.07 tff(29451,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29452,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29453,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29452, 29451])).
% 73.89/47.07 tff(29454,plain,
% 73.89/47.07 (~v197(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29453, 4529, 1560])).
% 73.89/47.07 tff(29455,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29456,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29457,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29456, 29455])).
% 73.89/47.07 tff(29458,plain,
% 73.89/47.07 (~v200(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29457, 4540, 29454])).
% 73.89/47.07 tff(29459,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29460,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29461,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29460, 29459])).
% 73.89/47.07 tff(29462,plain,
% 73.89/47.07 (~v198(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29461, 4412, 29458])).
% 73.89/47.07 tff(29463,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29464,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29465,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 73.89/47.07 tff(29466,plain,
% 73.89/47.07 (v194(constB8) | (~v191(constB8))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29465, 4491, 29462])).
% 73.89/47.07 tff(29467,plain,
% 73.89/47.07 (~v191(constB8)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29466, 29450])).
% 73.89/47.07 tff(29468,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29469,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29470,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 73.89/47.07 tff(29471,plain,
% 73.89/47.07 (v191(constB8) | (~v193(constB9))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29470, 4506, 1618])).
% 73.89/47.07 tff(29472,plain,
% 73.89/47.07 (~v193(constB9)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29471, 29467])).
% 73.89/47.07 tff(29473,plain,
% 73.89/47.07 ($false),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29472, 29283])).
% 73.89/47.07 tff(29474,plain,(~(constB9 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.07 tff(29475,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.07 tff(29476,plain,
% 73.89/47.07 (v1(constB190) <=> v1(sK0_VarCurr)),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29475])).
% 73.89/47.07 tff(29477,plain,
% 73.89/47.07 (v1(sK0_VarCurr) <=> v1(constB190)),
% 73.89/47.07 inference(symmetry,[status(thm)],[29476])).
% 73.89/47.07 tff(29478,plain,
% 73.89/47.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29477])).
% 73.89/47.07 tff(29479,plain,
% 73.89/47.07 (~v1(constB190)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[4604, 29478])).
% 73.89/47.07 tff(29480,plain,
% 73.89/47.07 ($false),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[28118, 29479])).
% 73.89/47.07 tff(29481,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.07 tff(29482,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.07 tff(29483,plain,
% 73.89/47.07 (v193(constB51) <=> v193(sK0_VarCurr)),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29482])).
% 73.89/47.07 tff(29484,plain,
% 73.89/47.07 (v193(sK0_VarCurr) <=> v193(constB51)),
% 73.89/47.07 inference(symmetry,[status(thm)],[29483])).
% 73.89/47.07 tff(29485,plain,
% 73.89/47.07 (v193(constB51)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[17, 29484])).
% 73.89/47.07 tff(29486,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29487,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29488,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 73.89/47.07 tff(29489,plain,
% 73.89/47.07 (~v88(constB47, bitIndex2)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29488, 12119, 7354])).
% 73.89/47.07 tff(29490,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29491,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29492,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29491, 29490])).
% 73.89/47.07 tff(29493,plain,
% 73.89/47.07 (~v88(constB47, bitIndex1)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29492, 25107, 7391])).
% 73.89/47.07 tff(29494,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29495,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29496,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29495, 29494])).
% 73.89/47.07 tff(29497,plain,
% 73.89/47.07 (v88(constB47, bitIndex0)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29496, 12199, 7425])).
% 73.89/47.07 tff(29498,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29499,plain,
% 73.89/47.07 ((v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47)) <=> ((~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29500,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47)))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29499])).
% 73.89/47.07 tff(29501,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29500, 29498])).
% 73.89/47.07 tff(29502,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29503,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB47, bitIndex0)) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | v140(constB47)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29502, 29501])).
% 73.89/47.07 tff(29504,plain,
% 73.89/47.07 (v140(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29503, 25221, 29497, 29493, 29489])).
% 73.89/47.07 tff(29505,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB47) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB47) | (~v140(constB47)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29506,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB47) | (~v140(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29507,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB47) | (~v140(constB47))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29506, 29505])).
% 73.89/47.07 tff(29508,plain,
% 73.89/47.07 (v169(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29507, 25235, 29504])).
% 73.89/47.07 tff(29509,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB47) | (~v169(constB47)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB47) | (~v169(constB47)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29510,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB47) | (~v169(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29511,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB47) | (~v169(constB47))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 73.89/47.07 tff(29512,plain,
% 73.89/47.07 (v168(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29511, 25246, 29508])).
% 73.89/47.07 tff(29513,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB47) | (~v168(constB47)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB47) | (~v168(constB47)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29514,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB47) | (~v168(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29515,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB47) | (~v168(constB47))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29514, 29513])).
% 73.89/47.07 tff(29516,plain,
% 73.89/47.07 (v167(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29515, 12235, 29512])).
% 73.89/47.07 tff(29517,plain,
% 73.89/47.07 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB47)) | (~v170(constB47)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB47)) | (~v170(constB47)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29518,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB47)) | (~v170(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29519,plain,
% 73.89/47.07 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB47)) | (~v170(constB47))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 73.89/47.07 tff(29520,plain,
% 73.89/47.07 (~v170(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29519, 4351, 29516])).
% 73.89/47.07 tff(29521,plain,
% 73.89/47.07 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB47) | (~v167(constB47)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB47) | (~v167(constB47)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29522,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB47) | (~v167(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29523,plain,
% 73.89/47.07 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB47) | (~v167(constB47))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 73.89/47.07 tff(29524,plain,
% 73.89/47.07 (v166(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29523, 4362, 29516])).
% 73.89/47.07 tff(29525,plain,
% 73.89/47.07 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB47)) | (~v166(constB47)) | v170(constB47))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB47)) | (~v166(constB47)) | v170(constB47))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29526,plain,
% 73.89/47.07 (((~v166(constB47)) | v170(constB47) | (~v163(constB47))) <=> ((~v163(constB47)) | (~v166(constB47)) | v170(constB47))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29527,plain,
% 73.89/47.07 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB47)) | v170(constB47) | (~v163(constB47)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB47)) | (~v166(constB47)) | v170(constB47)))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29526])).
% 73.89/47.07 tff(29528,plain,
% 73.89/47.07 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB47)) | v170(constB47) | (~v163(constB47)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB47)) | (~v166(constB47)) | v170(constB47))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29527, 29525])).
% 73.89/47.07 tff(29529,plain,
% 73.89/47.07 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB47)) | v170(constB47) | (~v163(constB47)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29530,plain,
% 73.89/47.07 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB47)) | (~v166(constB47)) | v170(constB47)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29529, 29528])).
% 73.89/47.07 tff(29531,plain,
% 73.89/47.07 (~v163(constB47)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29530, 4376, 29524, 29520])).
% 73.89/47.07 tff(29532,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29533,plain,
% 73.89/47.07 (((~nextState(constB47, constB48)) | v163(constB47) | (~v186(constB48))) <=> (v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29534,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB47, constB48)) | v163(constB47) | (~v186(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48))))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29533])).
% 73.89/47.07 tff(29535,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB47, constB48)) | v163(constB47) | (~v186(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48)))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29534, 29532])).
% 73.89/47.07 tff(29536,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB47, constB48)) | v163(constB47) | (~v186(constB48)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29537,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB47) | (~nextState(constB47, constB48)) | (~v186(constB48))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29536, 29535])).
% 73.89/47.07 tff(29538,plain,
% 73.89/47.07 (v163(constB47) | (~v186(constB48))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29537, 12267, 7479])).
% 73.89/47.07 tff(29539,plain,
% 73.89/47.07 (~v186(constB48)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29538, 29531])).
% 73.89/47.07 tff(29540,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB47, constB48)) | v181(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB47, constB48)) | v181(constB48) | v104(constB48))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29541,plain,
% 73.89/47.07 (((~nextState(constB47, constB48)) | v104(constB48) | v181(constB48)) <=> ((~nextState(constB47, constB48)) | v181(constB48) | v104(constB48))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29542,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v181(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB47, constB48)) | v181(constB48) | v104(constB48)))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29541])).
% 73.89/47.07 tff(29543,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v181(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB47, constB48)) | v181(constB48) | v104(constB48))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29542, 29540])).
% 73.89/47.07 tff(29544,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v181(constB48))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29545,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB47, constB48)) | v181(constB48) | v104(constB48)),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 73.89/47.07 tff(29546,plain,
% 73.89/47.07 (v181(constB48) | v104(constB48)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29545, 12289, 7479])).
% 73.89/47.07 tff(29547,plain,
% 73.89/47.07 (v181(constB48)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29546, 7491])).
% 73.89/47.07 tff(29548,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29549,plain,
% 73.89/47.07 (((~nextState(constB47, constB48)) | (~v1(constB48)) | v180(constB48) | (~v181(constB48))) <=> ((~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29550,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v180(constB48) | (~v181(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48))))),
% 73.89/47.07 inference(monotonicity,[status(thm)],[29549])).
% 73.89/47.07 tff(29551,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v180(constB48) | (~v181(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48)))),
% 73.89/47.07 inference(transitivity,[status(thm)],[29550, 29548])).
% 73.89/47.07 tff(29552,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v180(constB48) | (~v181(constB48)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29553,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB47, constB48)) | v180(constB48) | (~v1(constB48)) | (~v181(constB48))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29552, 29551])).
% 73.89/47.07 tff(29554,plain,
% 73.89/47.07 (v180(constB48) | (~v181(constB48))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29553, 12310, 7479, 7502])).
% 73.89/47.07 tff(29555,plain,
% 73.89/47.07 (v180(constB48)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29554, 29547])).
% 73.89/47.07 tff(29556,plain,
% 73.89/47.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v179(constB48) | (~v180(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v179(constB48) | (~v180(constB48)))),
% 73.89/47.07 inference(rewrite,[status(thm)],[])).
% 73.89/47.07 tff(29557,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v179(constB48) | (~v180(constB48)))),
% 73.89/47.07 inference(quant_inst,[status(thm)],[])).
% 73.89/47.07 tff(29558,plain,
% 73.89/47.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v179(constB48) | (~v180(constB48))),
% 73.89/47.07 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 73.89/47.07 tff(29559,plain,
% 73.89/47.07 (v179(constB48) | (~v180(constB48))),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29558, 12328, 7479])).
% 73.89/47.07 tff(29560,plain,
% 73.89/47.07 (v179(constB48)),
% 73.89/47.07 inference(unit_resolution,[status(thm)],[29559, 29555])).
% 73.89/47.07 tff(29561,plain,
% 73.89/47.07 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB48)) | v186(constB48) | (~v179(constB48)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB48)) | v186(constB48) | (~v179(constB48)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29562,plain,
% 73.89/47.08 (((~v179(constB48)) | (~v159(constB48)) | v186(constB48)) <=> ((~v159(constB48)) | v186(constB48) | (~v179(constB48)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29563,plain,
% 73.89/47.08 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB48)) | (~v159(constB48)) | v186(constB48))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB48)) | v186(constB48) | (~v179(constB48))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29562])).
% 73.89/47.08 tff(29564,plain,
% 73.89/47.08 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB48)) | (~v159(constB48)) | v186(constB48))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB48)) | v186(constB48) | (~v179(constB48)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29563, 29561])).
% 73.89/47.08 tff(29565,plain,
% 73.89/47.08 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB48)) | (~v159(constB48)) | v186(constB48))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29566,plain,
% 73.89/47.08 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB48)) | v186(constB48) | (~v179(constB48))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29565, 29564])).
% 73.89/47.08 tff(29567,plain,
% 73.89/47.08 ((~v159(constB48)) | v186(constB48)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29566, 12343, 29560])).
% 73.89/47.08 tff(29568,plain,
% 73.89/47.08 (~v159(constB48)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29567, 29539])).
% 73.89/47.08 tff(29569,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29570,plain,
% 73.89/47.08 (((~nextState(constB48, constB49)) | v1(constB49) | (~v180(constB49))) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29571,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v1(constB49) | (~v180(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29570])).
% 73.89/47.08 tff(29572,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v1(constB49) | (~v180(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29571, 29569])).
% 73.89/47.08 tff(29573,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v1(constB49) | (~v180(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29574,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v180(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29573, 29572])).
% 73.89/47.08 tff(29575,plain,
% 73.89/47.08 (~v180(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29574, 12367, 7554, 7551])).
% 73.89/47.08 tff(29576,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29577,plain,
% 73.89/47.08 (((~nextState(constB48, constB49)) | (~v179(constB49)) | v180(constB49)) <=> ((~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29578,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB48, constB49)) | (~v179(constB49)) | v180(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29577])).
% 73.89/47.08 tff(29579,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB48, constB49)) | (~v179(constB49)) | v180(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29578, 29576])).
% 73.89/47.08 tff(29580,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB48, constB49)) | (~v179(constB49)) | v180(constB49))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29581,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB48, constB49)) | v180(constB49) | (~v179(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29580, 29579])).
% 73.89/47.08 tff(29582,plain,
% 73.89/47.08 (v180(constB49) | (~v179(constB49))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29581, 12384, 7554])).
% 73.89/47.08 tff(29583,plain,
% 73.89/47.08 (~v179(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29582, 29575])).
% 73.89/47.08 tff(29584,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29585,plain,
% 73.89/47.08 (((~nextState(constB48, constB49)) | v179(constB49) | v159(constB48) | (~v159(constB49))) <=> (v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29586,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB48, constB49)) | v179(constB49) | v159(constB48) | (~v159(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29585])).
% 73.89/47.08 tff(29587,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB48, constB49)) | v179(constB49) | v159(constB48) | (~v159(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29586, 29584])).
% 73.89/47.08 tff(29588,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB48, constB49)) | v179(constB49) | v159(constB48) | (~v159(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29589,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB48) | (~nextState(constB48, constB49)) | v179(constB49) | (~v159(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29588, 29587])).
% 73.89/47.08 tff(29590,plain,
% 73.89/47.08 (v159(constB48) | v179(constB49) | (~v159(constB49))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29589, 12402, 7554])).
% 73.89/47.08 tff(29591,plain,
% 73.89/47.08 (v159(constB48) | (~v159(constB49))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29590, 29583])).
% 73.89/47.08 tff(29592,plain,
% 73.89/47.08 (~v159(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29591, 29568])).
% 73.89/47.08 tff(29593,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB49) | (~v201(constB49)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB49) | (~v201(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29594,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB49) | (~v201(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29595,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB49) | (~v201(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29594, 29593])).
% 73.89/47.08 tff(29596,plain,
% 73.89/47.08 (~v201(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29595, 12418, 29592])).
% 73.89/47.08 tff(29597,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | (~v200(constB49)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | (~v200(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29598,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | (~v200(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29599,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | (~v200(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 73.89/47.08 tff(29600,plain,
% 73.89/47.08 (~v200(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29599, 4401, 29596])).
% 73.89/47.08 tff(29601,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB49) | (~v198(constB49)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB49) | (~v198(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29602,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB49) | (~v198(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29603,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB49) | (~v198(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 73.89/47.08 tff(29604,plain,
% 73.89/47.08 (~v198(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29603, 4412, 29600])).
% 73.89/47.08 tff(29605,assumption,(v18(constB50)), introduced(assumption)).
% 73.89/47.08 tff(29606,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB50))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29607,plain,
% 73.89/47.08 ($false),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29606, 58, 29605])).
% 73.89/47.08 tff(29608,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.08 tff(29609,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29610,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29611,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29610, 29609])).
% 73.89/47.08 tff(29612,plain,
% 73.89/47.08 (v22(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29611, 71, 7706])).
% 73.89/47.08 tff(29613,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29614,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29615,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 73.89/47.08 tff(29616,plain,
% 73.89/47.08 ((~v19(constB50)) | v18(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29615, 85, 29612])).
% 73.89/47.08 tff(29617,plain,
% 73.89/47.08 (~v19(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29616, 29608])).
% 73.89/47.08 tff(29618,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29619,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29620,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 73.89/47.08 tff(29621,plain,
% 73.89/47.08 (v13(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29620, 100, 29617])).
% 73.89/47.08 tff(29622,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29623,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29624,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 73.89/47.08 tff(29625,plain,
% 73.89/47.08 ((~v13(constB50)) | v9(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29624, 117, 7683])).
% 73.89/47.08 tff(29626,plain,
% 73.89/47.08 (v9(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29625, 29621])).
% 73.89/47.08 tff(29627,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v197(constB49))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB49) | (~v9(constB49)) | v197(constB49))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29628,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v197(constB49))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29629,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB49) | (~v9(constB49)) | v197(constB49)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 73.89/47.08 tff(29630,plain,
% 73.89/47.08 ((~v9(constB49)) | v197(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29629, 4454, 7551])).
% 73.89/47.08 tff(29631,plain,
% 73.89/47.08 (v197(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29630, 29626])).
% 73.89/47.08 tff(29632,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB49) | (~v197(constB49)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB49) | (~v197(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29633,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB49) | (~v197(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29634,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB49) | (~v197(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 73.89/47.08 tff(29635,plain,
% 73.89/47.08 (v196(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29634, 4466, 29631])).
% 73.89/47.08 tff(29636,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB49)) | (~v196(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29637,plain,
% 73.89/47.08 (((~v196(constB49)) | (~v194(constB49))) <=> ((~v194(constB49)) | (~v196(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29638,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB49)) | (~v196(constB49))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29637])).
% 73.89/47.08 tff(29639,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29638, 29636])).
% 73.89/47.08 tff(29640,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29641,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 73.89/47.08 tff(29642,plain,
% 73.89/47.08 (~v194(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29641, 4477, 29635])).
% 73.89/47.08 tff(29643,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB49) | v198(constB49) | (~v191(constB49)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB49) | v198(constB49) | (~v191(constB49)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29644,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB49) | v198(constB49) | (~v191(constB49)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29645,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB49) | v198(constB49) | (~v191(constB49))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29644, 29643])).
% 73.89/47.08 tff(29646,plain,
% 73.89/47.08 (v198(constB49) | (~v191(constB49))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29645, 4491, 29642])).
% 73.89/47.08 tff(29647,plain,
% 73.89/47.08 (~v191(constB49)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29646, 29604])).
% 73.89/47.08 tff(29648,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29649,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29650,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29649, 29648])).
% 73.89/47.08 tff(29651,plain,
% 73.89/47.08 (v191(constB49) | (~v193(constB50))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29650, 4506, 7683])).
% 73.89/47.08 tff(29652,plain,
% 73.89/47.08 (~v193(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29651, 29647])).
% 73.89/47.08 tff(29653,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB50) | (~v194(constB50)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB50) | (~v194(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29654,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB50) | (~v194(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29655,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB50) | (~v194(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29654, 29653])).
% 73.89/47.08 tff(29656,plain,
% 73.89/47.08 (~v194(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29655, 4518, 29652])).
% 73.89/47.08 tff(29657,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB50)) | (~v197(constB50)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB50)) | (~v197(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29658,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB50)) | (~v197(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29659,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB50)) | (~v197(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29658, 29657])).
% 73.89/47.08 tff(29660,plain,
% 73.89/47.08 (~v197(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29659, 4529, 7706])).
% 73.89/47.08 tff(29661,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB50) | (~v200(constB50)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB50) | (~v200(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29662,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB50) | (~v200(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29663,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB50) | (~v200(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29662, 29661])).
% 73.89/47.08 tff(29664,plain,
% 73.89/47.08 (~v200(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29663, 4540, 29660])).
% 73.89/47.08 tff(29665,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB50) | (~v198(constB50)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB50) | (~v198(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29666,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB50) | (~v198(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29667,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB50) | (~v198(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29666, 29665])).
% 73.89/47.08 tff(29668,plain,
% 73.89/47.08 (~v198(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29667, 4412, 29664])).
% 73.89/47.08 tff(29669,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB50) | v198(constB50) | (~v191(constB50)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB50) | v198(constB50) | (~v191(constB50)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29670,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB50) | v198(constB50) | (~v191(constB50)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29671,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB50) | v198(constB50) | (~v191(constB50))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 73.89/47.08 tff(29672,plain,
% 73.89/47.08 (v194(constB50) | (~v191(constB50))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29671, 4491, 29668])).
% 73.89/47.08 tff(29673,plain,
% 73.89/47.08 (~v191(constB50)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29672, 29656])).
% 73.89/47.08 tff(29674,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29675,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29676,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 73.89/47.08 tff(29677,plain,
% 73.89/47.08 (v191(constB50) | (~v193(constB51))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29676, 4506, 7754])).
% 73.89/47.08 tff(29678,plain,
% 73.89/47.08 (~v193(constB51)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29677, 29673])).
% 73.89/47.08 tff(29679,plain,
% 73.89/47.08 ($false),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29678, 29485])).
% 73.89/47.08 tff(29680,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.08 tff(29681,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.08 tff(29682,plain,
% 73.89/47.08 (v193(constB77) <=> v193(sK0_VarCurr)),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29681])).
% 73.89/47.08 tff(29683,plain,
% 73.89/47.08 (v193(sK0_VarCurr) <=> v193(constB77)),
% 73.89/47.08 inference(symmetry,[status(thm)],[29682])).
% 73.89/47.08 tff(29684,plain,
% 73.89/47.08 (v193(constB77)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[17, 29683])).
% 73.89/47.08 tff(29685,plain,
% 73.89/47.08 (~v130(constB73, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12874, 1057, 12711])).
% 73.89/47.08 tff(29686,plain,
% 73.89/47.08 (~v127(constB73, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12882, 29685])).
% 73.89/47.08 tff(29687,plain,
% 73.89/47.08 (~v129(constB74, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12887, 29686])).
% 73.89/47.08 tff(29688,plain,
% 73.89/47.08 ((~v90(constB74, bitIndex0)) | (~v100(constB74))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12894, 802, 29687])).
% 73.89/47.08 tff(29689,plain,
% 73.89/47.08 (~v90(constB74, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29688, 12776])).
% 73.89/47.08 tff(29690,plain,
% 73.89/47.08 (~v90(constB75, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12904, 29689])).
% 73.89/47.08 tff(29691,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB75, bitIndex0) | (~v88(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB75, bitIndex0) | (~v88(constB75, bitIndex0)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29692,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB75, bitIndex0) | (~v88(constB75, bitIndex0)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29693,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB75, bitIndex0) | (~v88(constB75, bitIndex0))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29692, 29691])).
% 73.89/47.08 tff(29694,plain,
% 73.89/47.08 (~v88(constB75, bitIndex0)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29693, 4274, 29690])).
% 73.89/47.08 tff(29695,plain,
% 73.89/47.08 (v130(constB73, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12837, 917, 12711])).
% 73.89/47.08 tff(29696,plain,
% 73.89/47.08 (v127(constB73, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12842, 29695])).
% 73.89/47.08 tff(29697,plain,
% 73.89/47.08 (v129(constB74, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12847, 29696])).
% 73.89/47.08 tff(29698,plain,
% 73.89/47.08 (v90(constB74, bitIndex2) | (~v100(constB74))),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12854, 626, 29697])).
% 73.89/47.08 tff(29699,plain,
% 73.89/47.08 (v90(constB74, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29698, 12776])).
% 73.89/47.08 tff(29700,plain,
% 73.89/47.08 (v90(constB75, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[12864, 29699])).
% 73.89/47.08 tff(29701,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex2)) | v88(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex2)) | v88(constB75, bitIndex2))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29702,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex2)) | v88(constB75, bitIndex2))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29703,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex2)) | v88(constB75, bitIndex2)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29702, 29701])).
% 73.89/47.08 tff(29704,plain,
% 73.89/47.08 (v88(constB75, bitIndex2)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29703, 4229, 29700])).
% 73.89/47.08 tff(29705,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB75, bitIndex1)) | v88(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB75, bitIndex1)) | v88(constB75, bitIndex1))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29706,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB75, bitIndex1)) | v88(constB75, bitIndex1))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29707,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB75, bitIndex1)) | v88(constB75, bitIndex1)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29706, 29705])).
% 73.89/47.08 tff(29708,plain,
% 73.89/47.08 (v88(constB75, bitIndex1)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29707, 4297, 12822])).
% 73.89/47.08 tff(29709,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29710,plain,
% 73.89/47.08 (((~v88(constB75, bitIndex2)) | (~v88(constB75, bitIndex1)) | v88(constB75, bitIndex0) | v144(constB75)) <=> (v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29711,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB75, bitIndex2)) | (~v88(constB75, bitIndex1)) | v88(constB75, bitIndex0) | v144(constB75))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75)))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29710])).
% 73.89/47.08 tff(29712,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB75, bitIndex2)) | (~v88(constB75, bitIndex1)) | v88(constB75, bitIndex0) | v144(constB75))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29711, 29709])).
% 73.89/47.08 tff(29713,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB75, bitIndex2)) | (~v88(constB75, bitIndex1)) | v88(constB75, bitIndex0) | v144(constB75))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29714,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v144(constB75)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 73.89/47.08 tff(29715,plain,
% 73.89/47.08 (v144(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29714, 4311, 29708, 29704, 29694])).
% 73.89/47.08 tff(29716,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB75) | (~v144(constB75)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB75) | (~v144(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29717,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB75) | (~v144(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29718,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB75) | (~v144(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 73.89/47.08 tff(29719,plain,
% 73.89/47.08 (v142(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29718, 4326, 29715])).
% 73.89/47.08 tff(29720,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB75) | (~v142(constB75)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB75) | (~v142(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29721,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB75) | (~v142(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29722,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB75) | (~v142(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 73.89/47.08 tff(29723,plain,
% 73.89/47.08 (v167(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29722, 4337, 29719])).
% 73.89/47.08 tff(29724,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB75)) | (~v170(constB75)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB75)) | (~v170(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29725,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB75)) | (~v170(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29726,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB75)) | (~v170(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 73.89/47.08 tff(29727,plain,
% 73.89/47.08 (~v170(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29726, 4351, 29723])).
% 73.89/47.08 tff(29728,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29729,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29730,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 73.89/47.08 tff(29731,plain,
% 73.89/47.08 (v166(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29730, 4362, 29723])).
% 73.89/47.08 tff(29732,plain,
% 73.89/47.08 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB75)) | (~v166(constB75)) | v170(constB75))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29733,plain,
% 73.89/47.08 (((~v166(constB75)) | v170(constB75) | (~v163(constB75))) <=> ((~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29734,plain,
% 73.89/47.08 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB75)) | (~v166(constB75)) | v170(constB75)))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29733])).
% 73.89/47.08 tff(29735,plain,
% 73.89/47.08 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29734, 29732])).
% 73.89/47.08 tff(29736,plain,
% 73.89/47.08 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29737,plain,
% 73.89/47.08 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 73.89/47.08 tff(29738,plain,
% 73.89/47.08 (~v163(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29737, 4376, 29731, 29727])).
% 73.89/47.08 tff(29739,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB75) | (~v201(constB75)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB75) | (~v201(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29740,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB75) | (~v201(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29741,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB75) | (~v201(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 73.89/47.08 tff(29742,plain,
% 73.89/47.08 (~v201(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29741, 4390, 29738])).
% 73.89/47.08 tff(29743,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29744,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29745,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29744, 29743])).
% 73.89/47.08 tff(29746,plain,
% 73.89/47.08 (~v200(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29745, 4401, 29742])).
% 73.89/47.08 tff(29747,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29748,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29749,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 73.89/47.08 tff(29750,plain,
% 73.89/47.08 (~v198(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29749, 4412, 29746])).
% 73.89/47.08 tff(29751,assumption,(v18(constB76)), introduced(assumption)).
% 73.89/47.08 tff(29752,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29753,plain,
% 73.89/47.08 ($false),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29752, 58, 29751])).
% 73.89/47.08 tff(29754,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.08 tff(29755,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29756,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29757,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 73.89/47.08 tff(29758,plain,
% 73.89/47.08 (v22(constB76)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29757, 71, 12955])).
% 73.89/47.08 tff(29759,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29760,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29761,plain,
% 73.89/47.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 73.89/47.08 tff(29762,plain,
% 73.89/47.08 ((~v19(constB76)) | v18(constB76)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29761, 85, 29758])).
% 73.89/47.08 tff(29763,plain,
% 73.89/47.08 (~v19(constB76)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29762, 29754])).
% 73.89/47.08 tff(29764,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29765,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29766,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29765, 29764])).
% 73.89/47.08 tff(29767,plain,
% 73.89/47.08 (v13(constB76)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29766, 100, 29763])).
% 73.89/47.08 tff(29768,plain,
% 73.89/47.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29769,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29770,plain,
% 73.89/47.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29769, 29768])).
% 73.89/47.08 tff(29771,plain,
% 73.89/47.08 ((~v13(constB76)) | v9(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29770, 117, 12932])).
% 73.89/47.08 tff(29772,plain,
% 73.89/47.08 (v9(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29771, 29767])).
% 73.89/47.08 tff(29773,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29774,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29775,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75)),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29774, 29773])).
% 73.89/47.08 tff(29776,plain,
% 73.89/47.08 ((~v9(constB75)) | v197(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29775, 4454, 12801])).
% 73.89/47.08 tff(29777,plain,
% 73.89/47.08 (v197(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29776, 29772])).
% 73.89/47.08 tff(29778,plain,
% 73.89/47.08 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB75) | (~v197(constB75)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB75) | (~v197(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29779,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB75) | (~v197(constB75)))),
% 73.89/47.08 inference(quant_inst,[status(thm)],[])).
% 73.89/47.08 tff(29780,plain,
% 73.89/47.08 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB75) | (~v197(constB75))),
% 73.89/47.08 inference(modus_ponens,[status(thm)],[29779, 29778])).
% 73.89/47.08 tff(29781,plain,
% 73.89/47.08 (v196(constB75)),
% 73.89/47.08 inference(unit_resolution,[status(thm)],[29780, 4466, 29777])).
% 73.89/47.08 tff(29782,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29783,plain,
% 73.89/47.08 (((~v196(constB75)) | (~v194(constB75))) <=> ((~v194(constB75)) | (~v196(constB75)))),
% 73.89/47.08 inference(rewrite,[status(thm)],[])).
% 73.89/47.08 tff(29784,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75))))),
% 73.89/47.08 inference(monotonicity,[status(thm)],[29783])).
% 73.89/47.08 tff(29785,plain,
% 73.89/47.08 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75)))),
% 73.89/47.08 inference(transitivity,[status(thm)],[29784, 29782])).
% 73.89/47.09 tff(29786,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29787,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29786, 29785])).
% 73.89/47.09 tff(29788,plain,
% 73.89/47.09 (~v194(constB75)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29787, 4477, 29781])).
% 73.89/47.09 tff(29789,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29790,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29791,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29790, 29789])).
% 73.89/47.09 tff(29792,plain,
% 73.89/47.09 (v198(constB75) | (~v191(constB75))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29791, 4491, 29788])).
% 73.89/47.09 tff(29793,plain,
% 73.89/47.09 (~v191(constB75)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29792, 29750])).
% 73.89/47.09 tff(29794,plain,
% 73.89/47.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29795,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29796,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29795, 29794])).
% 73.89/47.09 tff(29797,plain,
% 73.89/47.09 (v191(constB75) | (~v193(constB76))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29796, 4506, 12932])).
% 73.89/47.09 tff(29798,plain,
% 73.89/47.09 (~v193(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29797, 29793])).
% 73.89/47.09 tff(29799,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29800,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29801,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 73.89/47.09 tff(29802,plain,
% 73.89/47.09 (~v194(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29801, 4518, 29798])).
% 73.89/47.09 tff(29803,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29804,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29805,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29804, 29803])).
% 73.89/47.09 tff(29806,plain,
% 73.89/47.09 (~v197(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29805, 4529, 12955])).
% 73.89/47.09 tff(29807,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29808,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29809,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 73.89/47.09 tff(29810,plain,
% 73.89/47.09 (~v200(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29809, 4540, 29806])).
% 73.89/47.09 tff(29811,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29812,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29813,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29812, 29811])).
% 73.89/47.09 tff(29814,plain,
% 73.89/47.09 (~v198(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29813, 4412, 29810])).
% 73.89/47.09 tff(29815,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29816,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29817,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29816, 29815])).
% 73.89/47.09 tff(29818,plain,
% 73.89/47.09 (v194(constB76) | (~v191(constB76))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29817, 4491, 29814])).
% 73.89/47.09 tff(29819,plain,
% 73.89/47.09 (~v191(constB76)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29818, 29802])).
% 73.89/47.09 tff(29820,plain,
% 73.89/47.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29821,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29822,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 73.89/47.09 tff(29823,plain,
% 73.89/47.09 (v191(constB76) | (~v193(constB77))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29822, 4506, 13028])).
% 73.89/47.09 tff(29824,plain,
% 73.89/47.09 (~v193(constB77)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29823, 29819])).
% 73.89/47.09 tff(29825,plain,
% 73.89/47.09 ($false),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29824, 29684])).
% 73.89/47.09 tff(29826,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.09 tff(29827,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.09 tff(29828,plain,
% 73.89/47.09 (v193(constB157) <=> v193(sK0_VarCurr)),
% 73.89/47.09 inference(monotonicity,[status(thm)],[29827])).
% 73.89/47.09 tff(29829,plain,
% 73.89/47.09 (v193(sK0_VarCurr) <=> v193(constB157)),
% 73.89/47.09 inference(symmetry,[status(thm)],[29828])).
% 73.89/47.09 tff(29830,plain,
% 73.89/47.09 (v193(constB157)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[17, 29829])).
% 73.89/47.09 tff(29831,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29832,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29833,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29832, 29831])).
% 73.89/47.09 tff(29834,plain,
% 73.89/47.09 (~v88(constB155, bitIndex0)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29833, 4274, 23567])).
% 73.89/47.09 tff(29835,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29836,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29837,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29836, 29835])).
% 73.89/47.09 tff(29838,plain,
% 73.89/47.09 (v88(constB155, bitIndex2)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29837, 4229, 23502])).
% 73.89/47.09 tff(29839,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29840,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29841,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29840, 29839])).
% 73.89/47.09 tff(29842,plain,
% 73.89/47.09 (v88(constB155, bitIndex1)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29841, 4297, 23533])).
% 73.89/47.09 tff(29843,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29844,plain,
% 73.89/47.09 (((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155)) <=> ((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29845,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0)))),
% 73.89/47.09 inference(monotonicity,[status(thm)],[29844])).
% 73.89/47.09 tff(29846,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0))),
% 73.89/47.09 inference(transitivity,[status(thm)],[29845, 29843])).
% 73.89/47.09 tff(29847,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29848,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v144(constB155) | v88(constB155, bitIndex0)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 73.89/47.09 tff(29849,plain,
% 73.89/47.09 (v144(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29848, 4311, 29842, 29838, 29834])).
% 73.89/47.09 tff(29850,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB155) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB155) | (~v144(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29851,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB155) | (~v144(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29852,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB155) | (~v144(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29851, 29850])).
% 73.89/47.09 tff(29853,plain,
% 73.89/47.09 (v142(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29852, 4326, 29849])).
% 73.89/47.09 tff(29854,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB155) | (~v142(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29855,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB155) | (~v142(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29856,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB155) | (~v142(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29855, 29854])).
% 73.89/47.09 tff(29857,plain,
% 73.89/47.09 (v167(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29856, 4337, 29853])).
% 73.89/47.09 tff(29858,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB155)) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB155)) | (~v170(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29859,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB155)) | (~v170(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29860,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB155)) | (~v170(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29859, 29858])).
% 73.89/47.09 tff(29861,plain,
% 73.89/47.09 (~v170(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29860, 4351, 29857])).
% 73.89/47.09 tff(29862,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB155) | (~v167(constB155)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB155) | (~v167(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29863,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB155) | (~v167(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29864,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB155) | (~v167(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29863, 29862])).
% 73.89/47.09 tff(29865,plain,
% 73.89/47.09 (v166(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29864, 4362, 29857])).
% 73.89/47.09 tff(29866,plain,
% 73.89/47.09 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB155)) | (~v166(constB155)) | v170(constB155))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB155)) | (~v166(constB155)) | v170(constB155))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29867,plain,
% 73.89/47.09 (((~v166(constB155)) | v170(constB155) | (~v163(constB155))) <=> ((~v163(constB155)) | (~v166(constB155)) | v170(constB155))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29868,plain,
% 73.89/47.09 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB155)) | v170(constB155) | (~v163(constB155)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB155)) | (~v166(constB155)) | v170(constB155)))),
% 73.89/47.09 inference(monotonicity,[status(thm)],[29867])).
% 73.89/47.09 tff(29869,plain,
% 73.89/47.09 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB155)) | v170(constB155) | (~v163(constB155)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB155)) | (~v166(constB155)) | v170(constB155))),
% 73.89/47.09 inference(transitivity,[status(thm)],[29868, 29866])).
% 73.89/47.09 tff(29870,plain,
% 73.89/47.09 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB155)) | v170(constB155) | (~v163(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29871,plain,
% 73.89/47.09 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB155)) | (~v166(constB155)) | v170(constB155)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 73.89/47.09 tff(29872,plain,
% 73.89/47.09 (~v163(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29871, 4376, 29865, 29861])).
% 73.89/47.09 tff(29873,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB155) | (~v201(constB155)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB155) | (~v201(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29874,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB155) | (~v201(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29875,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB155) | (~v201(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29874, 29873])).
% 73.89/47.09 tff(29876,plain,
% 73.89/47.09 (~v201(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29875, 4390, 29872])).
% 73.89/47.09 tff(29877,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB155) | (~v200(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29878,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB155) | (~v200(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29879,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB155) | (~v200(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29878, 29877])).
% 73.89/47.09 tff(29880,plain,
% 73.89/47.09 (~v200(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29879, 4401, 29876])).
% 73.89/47.09 tff(29881,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB155) | (~v198(constB155)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB155) | (~v198(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29882,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB155) | (~v198(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29883,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB155) | (~v198(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29882, 29881])).
% 73.89/47.09 tff(29884,plain,
% 73.89/47.09 (~v198(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29883, 4412, 29880])).
% 73.89/47.09 tff(29885,assumption,(v18(constB156)), introduced(assumption)).
% 73.89/47.09 tff(29886,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB156))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29887,plain,
% 73.89/47.09 ($false),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29886, 58, 29885])).
% 73.89/47.09 tff(29888,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.09 tff(29889,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29890,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29891,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29890, 29889])).
% 73.89/47.09 tff(29892,plain,
% 73.89/47.09 (v22(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29891, 71, 23614])).
% 73.89/47.09 tff(29893,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29894,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29895,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29894, 29893])).
% 73.89/47.09 tff(29896,plain,
% 73.89/47.09 ((~v19(constB156)) | v18(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29895, 85, 29892])).
% 73.89/47.09 tff(29897,plain,
% 73.89/47.09 (~v19(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29896, 29888])).
% 73.89/47.09 tff(29898,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29899,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29900,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 73.89/47.09 tff(29901,plain,
% 73.89/47.09 (v13(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29900, 100, 29897])).
% 73.89/47.09 tff(29902,plain,
% 73.89/47.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29903,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29904,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 73.89/47.09 tff(29905,plain,
% 73.89/47.09 ((~v13(constB156)) | v9(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29904, 117, 23591])).
% 73.89/47.09 tff(29906,plain,
% 73.89/47.09 (v9(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29905, 29901])).
% 73.89/47.09 tff(29907,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v197(constB155))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB155) | (~v9(constB155)) | v197(constB155))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29908,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v197(constB155))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29909,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB155) | (~v9(constB155)) | v197(constB155)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 73.89/47.09 tff(29910,plain,
% 73.89/47.09 ((~v9(constB155)) | v197(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29909, 4454, 23478])).
% 73.89/47.09 tff(29911,plain,
% 73.89/47.09 (v197(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29910, 29906])).
% 73.89/47.09 tff(29912,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB155) | (~v197(constB155)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB155) | (~v197(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29913,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB155) | (~v197(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29914,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB155) | (~v197(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29913, 29912])).
% 73.89/47.09 tff(29915,plain,
% 73.89/47.09 (v196(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29914, 4466, 29911])).
% 73.89/47.09 tff(29916,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB155)) | (~v194(constB155)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB155)) | (~v194(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29917,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB155)) | (~v194(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29918,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB155)) | (~v194(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 73.89/47.09 tff(29919,plain,
% 73.89/47.09 (~v194(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29918, 4477, 29915])).
% 73.89/47.09 tff(29920,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB155) | v198(constB155) | (~v191(constB155)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB155) | v198(constB155) | (~v191(constB155)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29921,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB155) | v198(constB155) | (~v191(constB155)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29922,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB155) | v198(constB155) | (~v191(constB155))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29921, 29920])).
% 73.89/47.09 tff(29923,plain,
% 73.89/47.09 (v198(constB155) | (~v191(constB155))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29922, 4491, 29919])).
% 73.89/47.09 tff(29924,plain,
% 73.89/47.09 (~v191(constB155)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29923, 29884])).
% 73.89/47.09 tff(29925,plain,
% 73.89/47.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB155, constB156)) | v191(constB155) | (~v193(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB155, constB156)) | v191(constB155) | (~v193(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29926,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB155, constB156)) | v191(constB155) | (~v193(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29927,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB155, constB156)) | v191(constB155) | (~v193(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 73.89/47.09 tff(29928,plain,
% 73.89/47.09 (v191(constB155) | (~v193(constB156))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29927, 4506, 23591])).
% 73.89/47.09 tff(29929,plain,
% 73.89/47.09 (~v193(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29928, 29924])).
% 73.89/47.09 tff(29930,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB156) | (~v194(constB156)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB156) | (~v194(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29931,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB156) | (~v194(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29932,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB156) | (~v194(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 73.89/47.09 tff(29933,plain,
% 73.89/47.09 (~v194(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29932, 4518, 29929])).
% 73.89/47.09 tff(29934,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB156)) | (~v197(constB156)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB156)) | (~v197(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29935,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB156)) | (~v197(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29936,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB156)) | (~v197(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 73.89/47.09 tff(29937,plain,
% 73.89/47.09 (~v197(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29936, 4529, 23614])).
% 73.89/47.09 tff(29938,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB156) | (~v200(constB156)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB156) | (~v200(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29939,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB156) | (~v200(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29940,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB156) | (~v200(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 73.89/47.09 tff(29941,plain,
% 73.89/47.09 (~v200(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29940, 4540, 29937])).
% 73.89/47.09 tff(29942,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB156) | (~v198(constB156)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB156) | (~v198(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29943,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB156) | (~v198(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29944,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB156) | (~v198(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 73.89/47.09 tff(29945,plain,
% 73.89/47.09 (~v198(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29944, 4412, 29941])).
% 73.89/47.09 tff(29946,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB156) | v198(constB156) | (~v191(constB156)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB156) | v198(constB156) | (~v191(constB156)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29947,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB156) | v198(constB156) | (~v191(constB156)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29948,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB156) | v198(constB156) | (~v191(constB156))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29947, 29946])).
% 73.89/47.09 tff(29949,plain,
% 73.89/47.09 (v194(constB156) | (~v191(constB156))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29948, 4491, 29945])).
% 73.89/47.09 tff(29950,plain,
% 73.89/47.09 (~v191(constB156)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29949, 29933])).
% 73.89/47.09 tff(29951,plain,
% 73.89/47.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB156, constB157)) | v191(constB156) | (~v193(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB156, constB157)) | v191(constB156) | (~v193(constB157)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29952,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB156, constB157)) | v191(constB156) | (~v193(constB157)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29953,plain,
% 73.89/47.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB156, constB157)) | v191(constB156) | (~v193(constB157))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29952, 29951])).
% 73.89/47.09 tff(29954,plain,
% 73.89/47.09 (v191(constB156) | (~v193(constB157))),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29953, 4506, 23738])).
% 73.89/47.09 tff(29955,plain,
% 73.89/47.09 (~v193(constB157)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29954, 29950])).
% 73.89/47.09 tff(29956,plain,
% 73.89/47.09 ($false),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29955, 29830])).
% 73.89/47.09 tff(29957,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.09 tff(29958,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.09 tff(29959,plain,
% 73.89/47.09 (v193(constB121) <=> v193(sK0_VarCurr)),
% 73.89/47.09 inference(monotonicity,[status(thm)],[29958])).
% 73.89/47.09 tff(29960,plain,
% 73.89/47.09 (v193(sK0_VarCurr) <=> v193(constB121)),
% 73.89/47.09 inference(symmetry,[status(thm)],[29959])).
% 73.89/47.09 tff(29961,plain,
% 73.89/47.09 (v193(constB121)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[17, 29960])).
% 73.89/47.09 tff(29962,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29963,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29964,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29963, 29962])).
% 73.89/47.09 tff(29965,plain,
% 73.89/47.09 (~v88(constB117, bitIndex1)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29964, 25107, 19125])).
% 73.89/47.09 tff(29966,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB117, bitIndex2) | (~v88(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB117, bitIndex2) | (~v88(constB117, bitIndex2)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29967,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB117, bitIndex2) | (~v88(constB117, bitIndex2)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29968,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB117, bitIndex2) | (~v88(constB117, bitIndex2))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 73.89/47.09 tff(29969,plain,
% 73.89/47.09 (~v88(constB117, bitIndex2)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29968, 12119, 19162])).
% 73.89/47.09 tff(29970,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29971,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29972,plain,
% 73.89/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 73.89/47.09 tff(29973,plain,
% 73.89/47.09 (v88(constB117, bitIndex0)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29972, 12199, 18942])).
% 73.89/47.09 tff(29974,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29975,plain,
% 73.89/47.09 ((v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117)) <=> (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29976,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117)))),
% 73.89/47.09 inference(monotonicity,[status(thm)],[29975])).
% 73.89/47.09 tff(29977,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 73.89/47.09 inference(transitivity,[status(thm)],[29976, 29974])).
% 73.89/47.09 tff(29978,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29979,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117)),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 73.89/47.09 tff(29980,plain,
% 73.89/47.09 (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | v140(constB117)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29979, 25221, 29973])).
% 73.89/47.09 tff(29981,plain,
% 73.89/47.09 (v140(constB117)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29980, 29969, 29965])).
% 73.89/47.09 tff(29982,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB117) | (~v140(constB117)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB117) | (~v140(constB117)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29983,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB117) | (~v140(constB117)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29984,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB117) | (~v140(constB117))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29983, 29982])).
% 73.89/47.09 tff(29985,plain,
% 73.89/47.09 (v169(constB117)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29984, 25235, 29981])).
% 73.89/47.09 tff(29986,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB117) | (~v169(constB117)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB117) | (~v169(constB117)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29987,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB117) | (~v169(constB117)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29988,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB117) | (~v169(constB117))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 73.89/47.09 tff(29989,plain,
% 73.89/47.09 (v168(constB117)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29988, 25246, 29985])).
% 73.89/47.09 tff(29990,plain,
% 73.89/47.09 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB117) | (~v168(constB117)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.09 tff(29991,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB117) | (~v168(constB117)))),
% 73.89/47.09 inference(quant_inst,[status(thm)],[])).
% 73.89/47.09 tff(29992,plain,
% 73.89/47.09 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB117) | (~v168(constB117))),
% 73.89/47.09 inference(modus_ponens,[status(thm)],[29991, 29990])).
% 73.89/47.09 tff(29993,plain,
% 73.89/47.09 (v167(constB117)),
% 73.89/47.09 inference(unit_resolution,[status(thm)],[29992, 12235, 29989])).
% 73.89/47.09 tff(29994,plain,
% 73.89/47.09 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB117)) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB117)) | (~v170(constB117)))),
% 73.89/47.09 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(29995,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB117)) | (~v170(constB117)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(29996,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB117)) | (~v170(constB117))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 73.89/47.10 tff(29997,plain,
% 73.89/47.10 (~v170(constB117)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[29996, 4351, 29993])).
% 73.89/47.10 tff(29998,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB117) | (~v167(constB117)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB117) | (~v167(constB117)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(29999,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB117) | (~v167(constB117)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30000,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB117) | (~v167(constB117))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[29999, 29998])).
% 73.89/47.10 tff(30001,plain,
% 73.89/47.10 (v166(constB117)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30000, 4362, 29993])).
% 73.89/47.10 tff(30002,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB117)) | (~v166(constB117)) | v170(constB117))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30003,plain,
% 73.89/47.10 (((~v166(constB117)) | v170(constB117) | (~v163(constB117))) <=> ((~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30004,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB117)) | (~v166(constB117)) | v170(constB117)))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30003])).
% 73.89/47.10 tff(30005,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30004, 30002])).
% 73.89/47.10 tff(30006,plain,
% 73.89/47.10 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30007,plain,
% 73.89/47.10 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30006, 30005])).
% 73.89/47.10 tff(30008,plain,
% 73.89/47.10 (~v163(constB117)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30007, 4376, 30001, 29997])).
% 73.89/47.10 tff(30009,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30010,plain,
% 73.89/47.10 (((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118))) <=> (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30011,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30010])).
% 73.89/47.10 tff(30012,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30011, 30009])).
% 73.89/47.10 tff(30013,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30014,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 73.89/47.10 tff(30015,plain,
% 73.89/47.10 (v163(constB117) | (~v186(constB118))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30014, 12267, 19224])).
% 73.89/47.10 tff(30016,plain,
% 73.89/47.10 (~v186(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30015, 30008])).
% 73.89/47.10 tff(30017,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30018,plain,
% 73.89/47.10 (((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118)) <=> ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30019,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118)))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30018])).
% 73.89/47.10 tff(30020,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30019, 30017])).
% 73.89/47.10 tff(30021,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30022,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 73.89/47.10 tff(30023,plain,
% 73.89/47.10 (v181(constB118) | v104(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30022, 12289, 19224])).
% 73.89/47.10 tff(30024,plain,
% 73.89/47.10 (v181(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30023, 19236])).
% 73.89/47.10 tff(30025,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30026,plain,
% 73.89/47.10 (((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118))) <=> ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30027,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30026])).
% 73.89/47.10 tff(30028,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30027, 30025])).
% 73.89/47.10 tff(30029,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30030,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 73.89/47.10 tff(30031,plain,
% 73.89/47.10 (v180(constB118) | (~v181(constB118))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30030, 12310, 19224, 19247])).
% 73.89/47.10 tff(30032,plain,
% 73.89/47.10 (v180(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30031, 30024])).
% 73.89/47.10 tff(30033,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30034,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30035,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 73.89/47.10 tff(30036,plain,
% 73.89/47.10 (v179(constB118) | (~v180(constB118))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30035, 12328, 19224])).
% 73.89/47.10 tff(30037,plain,
% 73.89/47.10 (v179(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30036, 30032])).
% 73.89/47.10 tff(30038,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB118)) | v186(constB118) | (~v179(constB118)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB118)) | v186(constB118) | (~v179(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30039,plain,
% 73.89/47.10 (((~v179(constB118)) | (~v159(constB118)) | v186(constB118)) <=> ((~v159(constB118)) | v186(constB118) | (~v179(constB118)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30040,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB118)) | (~v159(constB118)) | v186(constB118))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB118)) | v186(constB118) | (~v179(constB118))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30039])).
% 73.89/47.10 tff(30041,plain,
% 73.89/47.10 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB118)) | (~v159(constB118)) | v186(constB118))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB118)) | v186(constB118) | (~v179(constB118)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30040, 30038])).
% 73.89/47.10 tff(30042,plain,
% 73.89/47.10 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB118)) | (~v159(constB118)) | v186(constB118))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30043,plain,
% 73.89/47.10 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB118)) | v186(constB118) | (~v179(constB118))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30042, 30041])).
% 73.89/47.10 tff(30044,plain,
% 73.89/47.10 ((~v159(constB118)) | v186(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30043, 12343, 30037])).
% 73.89/47.10 tff(30045,plain,
% 73.89/47.10 (~v159(constB118)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30044, 30016])).
% 73.89/47.10 tff(30046,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30047,plain,
% 73.89/47.10 (((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119))) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30048,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30047])).
% 73.89/47.10 tff(30049,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30048, 30046])).
% 73.89/47.10 tff(30050,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30051,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30050, 30049])).
% 73.89/47.10 tff(30052,plain,
% 73.89/47.10 (~v180(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30051, 12367, 19295, 19292])).
% 73.89/47.10 tff(30053,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30054,plain,
% 73.89/47.10 (((~nextState(constB118, constB119)) | (~v179(constB119)) | v180(constB119)) <=> ((~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30055,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB118, constB119)) | (~v179(constB119)) | v180(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30054])).
% 73.89/47.10 tff(30056,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB118, constB119)) | (~v179(constB119)) | v180(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30055, 30053])).
% 73.89/47.10 tff(30057,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB118, constB119)) | (~v179(constB119)) | v180(constB119))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30058,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 73.89/47.10 tff(30059,plain,
% 73.89/47.10 (v180(constB119) | (~v179(constB119))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30058, 12384, 19295])).
% 73.89/47.10 tff(30060,plain,
% 73.89/47.10 (~v179(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30059, 30052])).
% 73.89/47.10 tff(30061,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30062,plain,
% 73.89/47.10 (((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119))) <=> (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30063,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30062])).
% 73.89/47.10 tff(30064,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30063, 30061])).
% 73.89/47.10 tff(30065,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30066,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30065, 30064])).
% 73.89/47.10 tff(30067,plain,
% 73.89/47.10 (v159(constB118) | v179(constB119) | (~v159(constB119))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30066, 12402, 19295])).
% 73.89/47.10 tff(30068,plain,
% 73.89/47.10 (v159(constB118) | (~v159(constB119))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30067, 30060])).
% 73.89/47.10 tff(30069,plain,
% 73.89/47.10 (~v159(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30068, 30045])).
% 73.89/47.10 tff(30070,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB119) | (~v201(constB119)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB119) | (~v201(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30071,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB119) | (~v201(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30072,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB119) | (~v201(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30071, 30070])).
% 73.89/47.10 tff(30073,plain,
% 73.89/47.10 (~v201(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30072, 12418, 30069])).
% 73.89/47.10 tff(30074,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB119) | (~v200(constB119)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB119) | (~v200(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30075,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB119) | (~v200(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30076,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB119) | (~v200(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30075, 30074])).
% 73.89/47.10 tff(30077,plain,
% 73.89/47.10 (~v200(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30076, 4401, 30073])).
% 73.89/47.10 tff(30078,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB119) | (~v198(constB119)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB119) | (~v198(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30079,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB119) | (~v198(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30080,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB119) | (~v198(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30079, 30078])).
% 73.89/47.10 tff(30081,plain,
% 73.89/47.10 (~v198(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30080, 4412, 30077])).
% 73.89/47.10 tff(30082,assumption,(v18(constB120)), introduced(assumption)).
% 73.89/47.10 tff(30083,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB120))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30084,plain,
% 73.89/47.10 ($false),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30083, 58, 30082])).
% 73.89/47.10 tff(30085,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.10 tff(30086,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30087,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30088,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30087, 30086])).
% 73.89/47.10 tff(30089,plain,
% 73.89/47.10 (v22(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30088, 71, 19444])).
% 73.89/47.10 tff(30090,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30091,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30092,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30091, 30090])).
% 73.89/47.10 tff(30093,plain,
% 73.89/47.10 ((~v19(constB120)) | v18(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30092, 85, 30089])).
% 73.89/47.10 tff(30094,plain,
% 73.89/47.10 (~v19(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30093, 30085])).
% 73.89/47.10 tff(30095,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30096,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30097,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30096, 30095])).
% 73.89/47.10 tff(30098,plain,
% 73.89/47.10 (v13(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30097, 100, 30094])).
% 73.89/47.10 tff(30099,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30100,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30101,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30100, 30099])).
% 73.89/47.10 tff(30102,plain,
% 73.89/47.10 ((~v13(constB120)) | v9(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30101, 117, 19421])).
% 73.89/47.10 tff(30103,plain,
% 73.89/47.10 (v9(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30102, 30098])).
% 73.89/47.10 tff(30104,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v197(constB119))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB119) | (~v9(constB119)) | v197(constB119))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30105,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v197(constB119))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30106,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB119) | (~v9(constB119)) | v197(constB119)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30105, 30104])).
% 73.89/47.10 tff(30107,plain,
% 73.89/47.10 ((~v9(constB119)) | v197(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30106, 4454, 19292])).
% 73.89/47.10 tff(30108,plain,
% 73.89/47.10 (v197(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30107, 30103])).
% 73.89/47.10 tff(30109,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB119) | (~v197(constB119)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB119) | (~v197(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30110,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB119) | (~v197(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30111,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB119) | (~v197(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 73.89/47.10 tff(30112,plain,
% 73.89/47.10 (v196(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30111, 4466, 30108])).
% 73.89/47.10 tff(30113,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB119)) | (~v196(constB119)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB119)) | (~v196(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30114,plain,
% 73.89/47.10 (((~v196(constB119)) | (~v194(constB119))) <=> ((~v194(constB119)) | (~v196(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30115,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB119)) | (~v194(constB119)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB119)) | (~v196(constB119))))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30114])).
% 73.89/47.10 tff(30116,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB119)) | (~v194(constB119)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB119)) | (~v196(constB119)))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30115, 30113])).
% 73.89/47.10 tff(30117,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB119)) | (~v194(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30118,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB119)) | (~v196(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 73.89/47.10 tff(30119,plain,
% 73.89/47.10 (~v194(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30118, 4477, 30112])).
% 73.89/47.10 tff(30120,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB119) | v198(constB119) | (~v191(constB119)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB119) | v198(constB119) | (~v191(constB119)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30121,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB119) | v198(constB119) | (~v191(constB119)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30122,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB119) | v198(constB119) | (~v191(constB119))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30121, 30120])).
% 73.89/47.10 tff(30123,plain,
% 73.89/47.10 (v198(constB119) | (~v191(constB119))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30122, 4491, 30119])).
% 73.89/47.10 tff(30124,plain,
% 73.89/47.10 (~v191(constB119)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30123, 30081])).
% 73.89/47.10 tff(30125,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30126,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30127,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30126, 30125])).
% 73.89/47.10 tff(30128,plain,
% 73.89/47.10 (v191(constB119) | (~v193(constB120))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30127, 4506, 19421])).
% 73.89/47.10 tff(30129,plain,
% 73.89/47.10 (~v193(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30128, 30124])).
% 73.89/47.10 tff(30130,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB120) | (~v194(constB120)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB120) | (~v194(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30131,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB120) | (~v194(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30132,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB120) | (~v194(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 73.89/47.10 tff(30133,plain,
% 73.89/47.10 (~v194(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30132, 4518, 30129])).
% 73.89/47.10 tff(30134,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB120)) | (~v197(constB120)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB120)) | (~v197(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30135,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB120)) | (~v197(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30136,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB120)) | (~v197(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 73.89/47.10 tff(30137,plain,
% 73.89/47.10 (~v197(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30136, 4529, 19444])).
% 73.89/47.10 tff(30138,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB120) | (~v200(constB120)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB120) | (~v200(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30139,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB120) | (~v200(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30140,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB120) | (~v200(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30139, 30138])).
% 73.89/47.10 tff(30141,plain,
% 73.89/47.10 (~v200(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30140, 4540, 30137])).
% 73.89/47.10 tff(30142,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB120) | (~v198(constB120)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB120) | (~v198(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30143,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB120) | (~v198(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30144,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB120) | (~v198(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30143, 30142])).
% 73.89/47.10 tff(30145,plain,
% 73.89/47.10 (~v198(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30144, 4412, 30141])).
% 73.89/47.10 tff(30146,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB120) | v198(constB120) | (~v191(constB120)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB120) | v198(constB120) | (~v191(constB120)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30147,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB120) | v198(constB120) | (~v191(constB120)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30148,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB120) | v198(constB120) | (~v191(constB120))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 73.89/47.10 tff(30149,plain,
% 73.89/47.10 (v194(constB120) | (~v191(constB120))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30148, 4491, 30145])).
% 73.89/47.10 tff(30150,plain,
% 73.89/47.10 (~v191(constB120)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30149, 30133])).
% 73.89/47.10 tff(30151,plain,
% 73.89/47.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30152,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30153,plain,
% 73.89/47.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30152, 30151])).
% 73.89/47.10 tff(30154,plain,
% 73.89/47.10 (v191(constB120) | (~v193(constB121))),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30153, 4506, 19489])).
% 73.89/47.10 tff(30155,plain,
% 73.89/47.10 (~v193(constB121)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30154, 30150])).
% 73.89/47.10 tff(30156,plain,
% 73.89/47.10 ($false),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30155, 29961])).
% 73.89/47.10 tff(30157,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.10 tff(30158,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 73.89/47.10 tff(30159,plain,
% 73.89/47.10 (v193(constB45) <=> v193(sK0_VarCurr)),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30158])).
% 73.89/47.10 tff(30160,plain,
% 73.89/47.10 (v193(sK0_VarCurr) <=> v193(constB45)),
% 73.89/47.10 inference(symmetry,[status(thm)],[30159])).
% 73.89/47.10 tff(30161,plain,
% 73.89/47.10 (v193(constB45)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[17, 30160])).
% 73.89/47.10 tff(30162,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30163,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30164,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 73.89/47.10 tff(30165,plain,
% 73.89/47.10 (~v88(constB41, bitIndex2)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30164, 12119, 6477])).
% 73.89/47.10 tff(30166,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30167,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30168,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 73.89/47.10 tff(30169,plain,
% 73.89/47.10 (v88(constB41, bitIndex1)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30168, 4297, 6508])).
% 73.89/47.10 tff(30170,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB41, bitIndex0)) | v88(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB41, bitIndex0)) | v88(constB41, bitIndex0))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30171,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB41, bitIndex0)) | v88(constB41, bitIndex0))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30172,plain,
% 73.89/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB41, bitIndex0)) | v88(constB41, bitIndex0)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 73.89/47.10 tff(30173,plain,
% 73.89/47.10 (v88(constB41, bitIndex0)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30172, 12199, 6539])).
% 73.89/47.10 tff(30174,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30175,plain,
% 73.89/47.10 ((v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)) | v141(constB41)) <=> ((~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30176,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)) | v141(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41)))),
% 73.89/47.10 inference(monotonicity,[status(thm)],[30175])).
% 73.89/47.10 tff(30177,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)) | v141(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41))),
% 73.89/47.10 inference(transitivity,[status(thm)],[30176, 30174])).
% 73.89/47.10 tff(30178,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)) | v141(constB41))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30179,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB41, bitIndex0)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v141(constB41)),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30178, 30177])).
% 73.89/47.10 tff(30180,plain,
% 73.89/47.10 (v141(constB41)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30179, 12213, 30173, 30169, 30165])).
% 73.89/47.10 tff(30181,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB41) | (~v141(constB41)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB41) | (~v141(constB41)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30182,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB41) | (~v141(constB41)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30183,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB41) | (~v141(constB41))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 73.89/47.10 tff(30184,plain,
% 73.89/47.10 (v168(constB41)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30183, 12224, 30180])).
% 73.89/47.10 tff(30185,plain,
% 73.89/47.10 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB41) | (~v168(constB41)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.10 tff(30186,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB41) | (~v168(constB41)))),
% 73.89/47.10 inference(quant_inst,[status(thm)],[])).
% 73.89/47.10 tff(30187,plain,
% 73.89/47.10 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB41) | (~v168(constB41))),
% 73.89/47.10 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 73.89/47.10 tff(30188,plain,
% 73.89/47.10 (v167(constB41)),
% 73.89/47.10 inference(unit_resolution,[status(thm)],[30187, 12235, 30184])).
% 73.89/47.10 tff(30189,plain,
% 73.89/47.10 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41)))),
% 73.89/47.10 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30190,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30191,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 73.89/47.11 tff(30192,plain,
% 73.89/47.11 (~v170(constB41)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30191, 4351, 30188])).
% 73.89/47.11 tff(30193,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30194,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30195,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 73.89/47.11 tff(30196,plain,
% 73.89/47.11 (v166(constB41)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30195, 4362, 30188])).
% 73.89/47.11 tff(30197,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30198,plain,
% 73.89/47.11 (((~v166(constB41)) | v170(constB41) | (~v163(constB41))) <=> ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30199,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41)))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30198])).
% 73.89/47.11 tff(30200,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30199, 30197])).
% 73.89/47.11 tff(30201,plain,
% 73.89/47.11 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30202,plain,
% 73.89/47.11 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 73.89/47.11 tff(30203,plain,
% 73.89/47.11 (~v163(constB41)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30202, 4376, 30196, 30192])).
% 73.89/47.11 tff(30204,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30205,plain,
% 73.89/47.11 (((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42))) <=> (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30206,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30205])).
% 73.89/47.11 tff(30207,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30206, 30204])).
% 73.89/47.11 tff(30208,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30209,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30208, 30207])).
% 73.89/47.11 tff(30210,plain,
% 73.89/47.11 (v163(constB41) | (~v186(constB42))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30209, 12267, 6571])).
% 73.89/47.11 tff(30211,plain,
% 73.89/47.11 (~v186(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30210, 30203])).
% 73.89/47.11 tff(30212,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30213,plain,
% 73.89/47.11 (((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42)) <=> ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30214,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30213])).
% 73.89/47.11 tff(30215,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30214, 30212])).
% 73.89/47.11 tff(30216,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30217,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30216, 30215])).
% 73.89/47.11 tff(30218,plain,
% 73.89/47.11 (v181(constB42) | v104(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30217, 12289, 6571])).
% 73.89/47.11 tff(30219,plain,
% 73.89/47.11 (v181(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30218, 6583])).
% 73.89/47.11 tff(30220,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30221,plain,
% 73.89/47.11 (((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42))) <=> ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30222,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30221])).
% 73.89/47.11 tff(30223,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30222, 30220])).
% 73.89/47.11 tff(30224,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30225,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30224, 30223])).
% 73.89/47.11 tff(30226,plain,
% 73.89/47.11 (v180(constB42) | (~v181(constB42))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30225, 12310, 6571, 6594])).
% 73.89/47.11 tff(30227,plain,
% 73.89/47.11 (v180(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30226, 30219])).
% 73.89/47.11 tff(30228,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30229,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30230,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 73.89/47.11 tff(30231,plain,
% 73.89/47.11 (v179(constB42) | (~v180(constB42))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30230, 12328, 6571])).
% 73.89/47.11 tff(30232,plain,
% 73.89/47.11 (v179(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30231, 30227])).
% 73.89/47.11 tff(30233,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB42)) | v186(constB42) | (~v179(constB42)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30234,plain,
% 73.89/47.11 (((~v179(constB42)) | (~v159(constB42)) | v186(constB42)) <=> ((~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30235,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB42)) | v186(constB42) | (~v179(constB42))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30234])).
% 73.89/47.11 tff(30236,plain,
% 73.89/47.11 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30235, 30233])).
% 73.89/47.11 tff(30237,plain,
% 73.89/47.11 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30238,plain,
% 73.89/47.11 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 73.89/47.11 tff(30239,plain,
% 73.89/47.11 ((~v159(constB42)) | v186(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30238, 12343, 30232])).
% 73.89/47.11 tff(30240,plain,
% 73.89/47.11 (~v159(constB42)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30239, 30211])).
% 73.89/47.11 tff(30241,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30242,plain,
% 73.89/47.11 (((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43))) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30243,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30242])).
% 73.89/47.11 tff(30244,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30243, 30241])).
% 73.89/47.11 tff(30245,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30246,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 73.89/47.11 tff(30247,plain,
% 73.89/47.11 (~v180(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30246, 12367, 6639, 6636])).
% 73.89/47.11 tff(30248,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30249,plain,
% 73.89/47.11 (((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43)) <=> ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30250,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30249])).
% 73.89/47.11 tff(30251,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30250, 30248])).
% 73.89/47.11 tff(30252,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30253,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 73.89/47.11 tff(30254,plain,
% 73.89/47.11 (v180(constB43) | (~v179(constB43))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30253, 12384, 6639])).
% 73.89/47.11 tff(30255,plain,
% 73.89/47.11 (~v179(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30254, 30247])).
% 73.89/47.11 tff(30256,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30257,plain,
% 73.89/47.11 (((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43))) <=> (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30258,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30257])).
% 73.89/47.11 tff(30259,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30258, 30256])).
% 73.89/47.11 tff(30260,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30261,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 73.89/47.11 tff(30262,plain,
% 73.89/47.11 (v159(constB42) | v179(constB43) | (~v159(constB43))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30261, 12402, 6639])).
% 73.89/47.11 tff(30263,plain,
% 73.89/47.11 (v159(constB42) | (~v159(constB43))),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30262, 30255])).
% 73.89/47.11 tff(30264,plain,
% 73.89/47.11 (~v159(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30263, 30240])).
% 73.89/47.11 tff(30265,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30266,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30267,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 73.89/47.11 tff(30268,plain,
% 73.89/47.11 (~v201(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30267, 12418, 30264])).
% 73.89/47.11 tff(30269,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30270,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30271,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 73.89/47.11 tff(30272,plain,
% 73.89/47.11 (~v200(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30271, 4401, 30268])).
% 73.89/47.11 tff(30273,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30274,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30275,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 73.89/47.11 tff(30276,plain,
% 73.89/47.11 (~v198(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30275, 4412, 30272])).
% 73.89/47.11 tff(30277,assumption,(v18(constB44)), introduced(assumption)).
% 73.89/47.11 tff(30278,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB44))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30279,plain,
% 73.89/47.11 ($false),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30278, 58, 30277])).
% 73.89/47.11 tff(30280,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 73.89/47.11 tff(30281,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30282,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30283,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 73.89/47.11 tff(30284,plain,
% 73.89/47.11 (v22(constB44)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30283, 71, 6779])).
% 73.89/47.11 tff(30285,plain,
% 73.89/47.11 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30286,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30287,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30286, 30285])).
% 73.89/47.11 tff(30288,plain,
% 73.89/47.11 ((~v19(constB44)) | v18(constB44)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30287, 85, 30284])).
% 73.89/47.11 tff(30289,plain,
% 73.89/47.11 (~v19(constB44)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30288, 30280])).
% 73.89/47.11 tff(30290,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30291,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30292,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30291, 30290])).
% 73.89/47.11 tff(30293,plain,
% 73.89/47.11 (v13(constB44)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30292, 100, 30289])).
% 73.89/47.11 tff(30294,plain,
% 73.89/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30295,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30296,plain,
% 73.89/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30295, 30294])).
% 73.89/47.11 tff(30297,plain,
% 73.89/47.11 ((~v13(constB44)) | v9(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30296, 117, 6756])).
% 73.89/47.11 tff(30298,plain,
% 73.89/47.11 (v9(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30297, 30293])).
% 73.89/47.11 tff(30299,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30300,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30301,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43)),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 73.89/47.11 tff(30302,plain,
% 73.89/47.11 ((~v9(constB43)) | v197(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30301, 4454, 6636])).
% 73.89/47.11 tff(30303,plain,
% 73.89/47.11 (v197(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30302, 30298])).
% 73.89/47.11 tff(30304,plain,
% 73.89/47.11 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB43) | (~v197(constB43)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB43) | (~v197(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30305,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB43) | (~v197(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30306,plain,
% 73.89/47.11 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB43) | (~v197(constB43))),
% 73.89/47.11 inference(modus_ponens,[status(thm)],[30305, 30304])).
% 73.89/47.11 tff(30307,plain,
% 73.89/47.11 (v196(constB43)),
% 73.89/47.11 inference(unit_resolution,[status(thm)],[30306, 4466, 30303])).
% 73.89/47.11 tff(30308,plain,
% 73.89/47.11 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30309,plain,
% 73.89/47.11 (((~v196(constB43)) | (~v194(constB43))) <=> ((~v194(constB43)) | (~v196(constB43)))),
% 73.89/47.11 inference(rewrite,[status(thm)],[])).
% 73.89/47.11 tff(30310,plain,
% 73.89/47.11 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43))))),
% 73.89/47.11 inference(monotonicity,[status(thm)],[30309])).
% 73.89/47.11 tff(30311,plain,
% 73.89/47.11 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43)))),
% 73.89/47.11 inference(transitivity,[status(thm)],[30310, 30308])).
% 73.89/47.11 tff(30312,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))),
% 73.89/47.11 inference(quant_inst,[status(thm)],[])).
% 73.89/47.11 tff(30313,plain,
% 73.89/47.11 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30312, 30311])).
% 73.96/47.11 tff(30314,plain,
% 73.96/47.11 (~v194(constB43)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30313, 4477, 30307])).
% 73.96/47.11 tff(30315,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30316,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30317,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 73.96/47.11 tff(30318,plain,
% 73.96/47.11 (v198(constB43) | (~v191(constB43))),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30317, 4491, 30314])).
% 73.96/47.11 tff(30319,plain,
% 73.96/47.11 (~v191(constB43)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30318, 30276])).
% 73.96/47.11 tff(30320,plain,
% 73.96/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30321,plain,
% 73.96/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30322,plain,
% 73.96/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30321, 30320])).
% 73.96/47.11 tff(30323,plain,
% 73.96/47.11 (v191(constB43) | (~v193(constB44))),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30322, 4506, 6756])).
% 73.96/47.11 tff(30324,plain,
% 73.96/47.11 (~v193(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30323, 30319])).
% 73.96/47.11 tff(30325,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30326,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30327,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 73.96/47.11 tff(30328,plain,
% 73.96/47.11 (~v194(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30327, 4518, 30324])).
% 73.96/47.11 tff(30329,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30330,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30331,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 73.96/47.11 tff(30332,plain,
% 73.96/47.11 (~v197(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30331, 4529, 6779])).
% 73.96/47.11 tff(30333,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30334,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30335,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 73.96/47.11 tff(30336,plain,
% 73.96/47.11 (~v200(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30335, 4540, 30332])).
% 73.96/47.11 tff(30337,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30338,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30339,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30338, 30337])).
% 73.96/47.11 tff(30340,plain,
% 73.96/47.11 (~v198(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30339, 4412, 30336])).
% 73.96/47.11 tff(30341,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30342,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30343,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 73.96/47.11 tff(30344,plain,
% 73.96/47.11 (v194(constB44) | (~v191(constB44))),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30343, 4491, 30340])).
% 73.96/47.11 tff(30345,plain,
% 73.96/47.11 (~v191(constB44)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30344, 30328])).
% 73.96/47.11 tff(30346,plain,
% 73.96/47.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30347,plain,
% 73.96/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30348,plain,
% 73.96/47.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30347, 30346])).
% 73.96/47.11 tff(30349,plain,
% 73.96/47.11 (v191(constB44) | (~v193(constB45))),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30348, 4506, 6824])).
% 73.96/47.11 tff(30350,plain,
% 73.96/47.11 (~v193(constB45)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30349, 30345])).
% 73.96/47.11 tff(30351,plain,
% 73.96/47.11 ($false),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30350, 30161])).
% 73.96/47.11 tff(30352,plain,(~(constB45 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.11 tff(30353,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.11 tff(30354,plain,
% 73.96/47.11 (v193(constB139) <=> v193(sK0_VarCurr)),
% 73.96/47.11 inference(monotonicity,[status(thm)],[30353])).
% 73.96/47.11 tff(30355,plain,
% 73.96/47.11 (v193(sK0_VarCurr) <=> v193(constB139)),
% 73.96/47.11 inference(symmetry,[status(thm)],[30354])).
% 73.96/47.11 tff(30356,plain,
% 73.96/47.11 (v193(constB139)),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[17, 30355])).
% 73.96/47.11 tff(30357,plain,
% 73.96/47.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0)))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30358,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0)))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30359,plain,
% 73.96/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0))),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 73.96/47.11 tff(30360,plain,
% 73.96/47.11 (~v88(constB135, bitIndex0)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30359, 4274, 21475])).
% 73.96/47.11 tff(30361,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30362,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30363,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2)),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 73.96/47.11 tff(30364,plain,
% 73.96/47.11 (v88(constB135, bitIndex2)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30363, 4229, 21410])).
% 73.96/47.11 tff(30365,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30366,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 73.96/47.11 inference(quant_inst,[status(thm)],[])).
% 73.96/47.11 tff(30367,plain,
% 73.96/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1)),
% 73.96/47.11 inference(modus_ponens,[status(thm)],[30366, 30365])).
% 73.96/47.11 tff(30368,plain,
% 73.96/47.11 (v88(constB135, bitIndex1)),
% 73.96/47.11 inference(unit_resolution,[status(thm)],[30367, 4297, 21441])).
% 73.96/47.11 tff(30369,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30370,plain,
% 73.96/47.11 (((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135)) <=> ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 73.96/47.11 inference(rewrite,[status(thm)],[])).
% 73.96/47.11 tff(30371,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))),
% 73.96/47.11 inference(monotonicity,[status(thm)],[30370])).
% 73.96/47.11 tff(30372,plain,
% 73.96/47.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30371, 30369])).
% 73.96/47.12 tff(30373,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30374,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 73.96/47.12 tff(30375,plain,
% 73.96/47.12 (v144(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30374, 4311, 30368, 30364, 30360])).
% 73.96/47.12 tff(30376,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB135) | (~v144(constB135)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB135) | (~v144(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30377,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB135) | (~v144(constB135)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30378,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB135) | (~v144(constB135))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 73.96/47.12 tff(30379,plain,
% 73.96/47.12 (v142(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30378, 4326, 30375])).
% 73.96/47.12 tff(30380,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB135) | (~v142(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30381,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB135) | (~v142(constB135)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30382,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB135) | (~v142(constB135))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 73.96/47.12 tff(30383,plain,
% 73.96/47.12 (v167(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30382, 4337, 30379])).
% 73.96/47.12 tff(30384,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30385,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30386,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 73.96/47.12 tff(30387,plain,
% 73.96/47.12 (~v170(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30386, 4351, 30383])).
% 73.96/47.12 tff(30388,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30389,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30390,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 73.96/47.12 tff(30391,plain,
% 73.96/47.12 (v166(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30390, 4362, 30383])).
% 73.96/47.12 tff(30392,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | v170(constB135) | (~v166(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30393,plain,
% 73.96/47.12 (((~v166(constB135)) | v170(constB135) | (~v163(constB135))) <=> ((~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30394,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | v170(constB135) | (~v166(constB135))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30393])).
% 73.96/47.12 tff(30395,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30394, 30392])).
% 73.96/47.12 tff(30396,plain,
% 73.96/47.12 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30397,plain,
% 73.96/47.12 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 73.96/47.12 tff(30398,plain,
% 73.96/47.12 (~v163(constB135)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30397, 4376, 30391, 30387])).
% 73.96/47.12 tff(30399,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30400,plain,
% 73.96/47.12 (((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136))) <=> (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30401,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30400])).
% 73.96/47.12 tff(30402,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30401, 30399])).
% 73.96/47.12 tff(30403,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30404,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 73.96/47.12 tff(30405,plain,
% 73.96/47.12 (v163(constB135) | (~v186(constB136))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30404, 12267, 21502])).
% 73.96/47.12 tff(30406,plain,
% 73.96/47.12 (~v186(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30405, 30398])).
% 73.96/47.12 tff(30407,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30408,plain,
% 73.96/47.12 (((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136)) <=> ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30409,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30408])).
% 73.96/47.12 tff(30410,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30409, 30407])).
% 73.96/47.12 tff(30411,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30412,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 73.96/47.12 tff(30413,plain,
% 73.96/47.12 (v181(constB136) | v104(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30412, 12289, 21502])).
% 73.96/47.12 tff(30414,plain,
% 73.96/47.12 (v181(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30413, 21514])).
% 73.96/47.12 tff(30415,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30416,plain,
% 73.96/47.12 (((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136))) <=> ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30417,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30416])).
% 73.96/47.12 tff(30418,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30417, 30415])).
% 73.96/47.12 tff(30419,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30420,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 73.96/47.12 tff(30421,plain,
% 73.96/47.12 (v180(constB136) | (~v181(constB136))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30420, 12310, 21502, 21525])).
% 73.96/47.12 tff(30422,plain,
% 73.96/47.12 (v180(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30421, 30414])).
% 73.96/47.12 tff(30423,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30424,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30425,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 73.96/47.12 tff(30426,plain,
% 73.96/47.12 (v179(constB136) | (~v180(constB136))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30425, 12328, 21502])).
% 73.96/47.12 tff(30427,plain,
% 73.96/47.12 (v179(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30426, 30422])).
% 73.96/47.12 tff(30428,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB136)) | v186(constB136) | (~v179(constB136)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30429,plain,
% 73.96/47.12 (((~v179(constB136)) | (~v159(constB136)) | v186(constB136)) <=> ((~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30430,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB136)) | v186(constB136) | (~v179(constB136))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30429])).
% 73.96/47.12 tff(30431,plain,
% 73.96/47.12 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30430, 30428])).
% 73.96/47.12 tff(30432,plain,
% 73.96/47.12 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30433,plain,
% 73.96/47.12 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30432, 30431])).
% 73.96/47.12 tff(30434,plain,
% 73.96/47.12 ((~v159(constB136)) | v186(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30433, 12343, 30427])).
% 73.96/47.12 tff(30435,plain,
% 73.96/47.12 (~v159(constB136)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30434, 30406])).
% 73.96/47.12 tff(30436,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30437,plain,
% 73.96/47.12 (((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137))) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30438,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30437])).
% 73.96/47.12 tff(30439,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30438, 30436])).
% 73.96/47.12 tff(30440,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30441,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30440, 30439])).
% 73.96/47.12 tff(30442,plain,
% 73.96/47.12 (~v180(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30441, 12367, 21600, 21597])).
% 73.96/47.12 tff(30443,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30444,plain,
% 73.96/47.12 (((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137)) <=> ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30445,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30444])).
% 73.96/47.12 tff(30446,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30445, 30443])).
% 73.96/47.12 tff(30447,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30448,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30447, 30446])).
% 73.96/47.12 tff(30449,plain,
% 73.96/47.12 (v180(constB137) | (~v179(constB137))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30448, 12384, 21600])).
% 73.96/47.12 tff(30450,plain,
% 73.96/47.12 (~v179(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30449, 30442])).
% 73.96/47.12 tff(30451,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30452,plain,
% 73.96/47.12 (((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137))) <=> (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30453,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30452])).
% 73.96/47.12 tff(30454,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30453, 30451])).
% 73.96/47.12 tff(30455,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30456,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30455, 30454])).
% 73.96/47.12 tff(30457,plain,
% 73.96/47.12 (v159(constB136) | v179(constB137) | (~v159(constB137))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30456, 12402, 21600])).
% 73.96/47.12 tff(30458,plain,
% 73.96/47.12 (v159(constB136) | (~v159(constB137))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30457, 30450])).
% 73.96/47.12 tff(30459,plain,
% 73.96/47.12 (~v159(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30458, 30435])).
% 73.96/47.12 tff(30460,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30461,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30462,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 73.96/47.12 tff(30463,plain,
% 73.96/47.12 (~v201(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30462, 12418, 30459])).
% 73.96/47.12 tff(30464,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30465,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30466,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30465, 30464])).
% 73.96/47.12 tff(30467,plain,
% 73.96/47.12 (~v200(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30466, 4401, 30463])).
% 73.96/47.12 tff(30468,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30469,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30470,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30469, 30468])).
% 73.96/47.12 tff(30471,plain,
% 73.96/47.12 (~v198(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30470, 4412, 30467])).
% 73.96/47.12 tff(30472,assumption,(v18(constB138)), introduced(assumption)).
% 73.96/47.12 tff(30473,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB138))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30474,plain,
% 73.96/47.12 ($false),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30473, 58, 30472])).
% 73.96/47.12 tff(30475,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.12 tff(30476,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30477,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30478,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30477, 30476])).
% 73.96/47.12 tff(30479,plain,
% 73.96/47.12 (v22(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30478, 71, 21728])).
% 73.96/47.12 tff(30480,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30481,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30482,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 73.96/47.12 tff(30483,plain,
% 73.96/47.12 ((~v19(constB138)) | v18(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30482, 85, 30479])).
% 73.96/47.12 tff(30484,plain,
% 73.96/47.12 (~v19(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30483, 30475])).
% 73.96/47.12 tff(30485,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30486,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30487,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30486, 30485])).
% 73.96/47.12 tff(30488,plain,
% 73.96/47.12 (v13(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30487, 100, 30484])).
% 73.96/47.12 tff(30489,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30490,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30491,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30490, 30489])).
% 73.96/47.12 tff(30492,plain,
% 73.96/47.12 ((~v13(constB138)) | v9(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30491, 117, 21705])).
% 73.96/47.12 tff(30493,plain,
% 73.96/47.12 (v9(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30492, 30488])).
% 73.96/47.12 tff(30494,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30495,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30496,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 73.96/47.12 tff(30497,plain,
% 73.96/47.12 ((~v9(constB137)) | v197(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30496, 4454, 21597])).
% 73.96/47.12 tff(30498,plain,
% 73.96/47.12 (v197(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30497, 30493])).
% 73.96/47.12 tff(30499,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB137) | (~v197(constB137)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB137) | (~v197(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30500,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB137) | (~v197(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30501,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB137) | (~v197(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30500, 30499])).
% 73.96/47.12 tff(30502,plain,
% 73.96/47.12 (v196(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30501, 4466, 30498])).
% 73.96/47.12 tff(30503,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB137)) | (~v196(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30504,plain,
% 73.96/47.12 (((~v196(constB137)) | (~v194(constB137))) <=> ((~v194(constB137)) | (~v196(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30505,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB137)) | (~v194(constB137)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137))))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30504])).
% 73.96/47.12 tff(30506,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB137)) | (~v194(constB137)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB137)) | (~v196(constB137)))),
% 73.96/47.12 inference(transitivity,[status(thm)],[30505, 30503])).
% 73.96/47.12 tff(30507,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB137)) | (~v194(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30508,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB137)) | (~v196(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 73.96/47.12 tff(30509,plain,
% 73.96/47.12 (~v194(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30508, 4477, 30502])).
% 73.96/47.12 tff(30510,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30511,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30512,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 73.96/47.12 tff(30513,plain,
% 73.96/47.12 (v198(constB137) | (~v191(constB137))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30512, 4491, 30509])).
% 73.96/47.12 tff(30514,plain,
% 73.96/47.12 (~v191(constB137)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30513, 30471])).
% 73.96/47.12 tff(30515,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30516,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30517,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30516, 30515])).
% 73.96/47.12 tff(30518,plain,
% 73.96/47.12 (v191(constB137) | (~v193(constB138))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30517, 4506, 21705])).
% 73.96/47.12 tff(30519,plain,
% 73.96/47.12 (~v193(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30518, 30514])).
% 73.96/47.12 tff(30520,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30521,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30522,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 73.96/47.12 tff(30523,plain,
% 73.96/47.12 (~v194(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30522, 4518, 30519])).
% 73.96/47.12 tff(30524,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30525,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30526,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30525, 30524])).
% 73.96/47.12 tff(30527,plain,
% 73.96/47.12 (~v197(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30526, 4529, 21728])).
% 73.96/47.12 tff(30528,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30529,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30530,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 73.96/47.12 tff(30531,plain,
% 73.96/47.12 (~v200(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30530, 4540, 30527])).
% 73.96/47.12 tff(30532,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30533,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30534,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 73.96/47.12 tff(30535,plain,
% 73.96/47.12 (~v198(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30534, 4412, 30531])).
% 73.96/47.12 tff(30536,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30537,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30538,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 73.96/47.12 tff(30539,plain,
% 73.96/47.12 (v194(constB138) | (~v191(constB138))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30538, 4491, 30535])).
% 73.96/47.12 tff(30540,plain,
% 73.96/47.12 (~v191(constB138)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30539, 30523])).
% 73.96/47.12 tff(30541,plain,
% 73.96/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30542,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30543,plain,
% 73.96/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30542, 30541])).
% 73.96/47.12 tff(30544,plain,
% 73.96/47.12 (v191(constB138) | (~v193(constB139))),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30543, 4506, 21848])).
% 73.96/47.12 tff(30545,plain,
% 73.96/47.12 (~v193(constB139)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30544, 30540])).
% 73.96/47.12 tff(30546,plain,
% 73.96/47.12 ($false),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30545, 30356])).
% 73.96/47.12 tff(30547,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.12 tff(30548,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.12 tff(30549,plain,
% 73.96/47.12 (v193(constB43) <=> v193(sK0_VarCurr)),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30548])).
% 73.96/47.12 tff(30550,plain,
% 73.96/47.12 (v193(sK0_VarCurr) <=> v193(constB43)),
% 73.96/47.12 inference(symmetry,[status(thm)],[30549])).
% 73.96/47.12 tff(30551,plain,
% 73.96/47.12 (v193(constB43)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[17, 30550])).
% 73.96/47.12 tff(30552,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30553,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30554,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 73.96/47.12 tff(30555,plain,
% 73.96/47.12 (~v88(constB39, bitIndex2)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30554, 12119, 6280])).
% 73.96/47.12 tff(30556,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0)))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30557,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0)))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30558,plain,
% 73.96/47.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0))),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 73.96/47.12 tff(30559,plain,
% 73.96/47.12 (~v88(constB39, bitIndex0)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30558, 4274, 6345])).
% 73.96/47.12 tff(30560,plain,
% 73.96/47.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30561,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))),
% 73.96/47.12 inference(quant_inst,[status(thm)],[])).
% 73.96/47.12 tff(30562,plain,
% 73.96/47.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1)),
% 73.96/47.12 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 73.96/47.12 tff(30563,plain,
% 73.96/47.12 (v88(constB39, bitIndex1)),
% 73.96/47.12 inference(unit_resolution,[status(thm)],[30562, 4297, 6311])).
% 73.96/47.12 tff(30564,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30565,plain,
% 73.96/47.12 ((v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39)) <=> ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 73.96/47.12 inference(rewrite,[status(thm)],[])).
% 73.96/47.12 tff(30566,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39)))),
% 73.96/47.12 inference(monotonicity,[status(thm)],[30565])).
% 73.96/47.12 tff(30567,plain,
% 73.96/47.12 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30566, 30564])).
% 73.96/47.13 tff(30568,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30569,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30568, 30567])).
% 73.96/47.13 tff(30570,plain,
% 73.96/47.13 (v143(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30569, 28498, 30563, 30559, 30555])).
% 73.96/47.13 tff(30571,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB39) | (~v143(constB39)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB39) | (~v143(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30572,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB39) | (~v143(constB39)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30573,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB39) | (~v143(constB39))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 73.96/47.13 tff(30574,plain,
% 73.96/47.13 (v142(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30573, 28512, 30570])).
% 73.96/47.13 tff(30575,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB39) | (~v142(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30576,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB39) | (~v142(constB39)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30577,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB39) | (~v142(constB39))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30576, 30575])).
% 73.96/47.13 tff(30578,plain,
% 73.96/47.13 (v167(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30577, 4337, 30574])).
% 73.96/47.13 tff(30579,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30580,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30581,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 73.96/47.13 tff(30582,plain,
% 73.96/47.13 (~v170(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30581, 4351, 30578])).
% 73.96/47.13 tff(30583,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30584,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30585,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 73.96/47.13 tff(30586,plain,
% 73.96/47.13 (v166(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30585, 4362, 30578])).
% 73.96/47.13 tff(30587,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | v170(constB39) | (~v166(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | v170(constB39) | (~v166(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30588,plain,
% 73.96/47.13 (((~v166(constB39)) | v170(constB39) | (~v163(constB39))) <=> ((~v163(constB39)) | v170(constB39) | (~v166(constB39)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30589,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | v170(constB39) | (~v166(constB39))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30588])).
% 73.96/47.13 tff(30590,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | v170(constB39) | (~v166(constB39)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30589, 30587])).
% 73.96/47.13 tff(30591,plain,
% 73.96/47.13 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30592,plain,
% 73.96/47.13 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | v170(constB39) | (~v166(constB39))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30591, 30590])).
% 73.96/47.13 tff(30593,plain,
% 73.96/47.13 (~v163(constB39)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30592, 4376, 30586, 30582])).
% 73.96/47.13 tff(30594,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30595,plain,
% 73.96/47.13 (((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40))) <=> (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30596,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30595])).
% 73.96/47.13 tff(30597,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30596, 30594])).
% 73.96/47.13 tff(30598,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30599,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 73.96/47.13 tff(30600,plain,
% 73.96/47.13 (v163(constB39) | (~v186(constB40))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30599, 12267, 6385])).
% 73.96/47.13 tff(30601,plain,
% 73.96/47.13 (~v186(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30600, 30593])).
% 73.96/47.13 tff(30602,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30603,plain,
% 73.96/47.13 (((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40)) <=> ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30604,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30603])).
% 73.96/47.13 tff(30605,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30604, 30602])).
% 73.96/47.13 tff(30606,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30607,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30606, 30605])).
% 73.96/47.13 tff(30608,plain,
% 73.96/47.13 (v181(constB40) | v104(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30607, 12289, 6385])).
% 73.96/47.13 tff(30609,plain,
% 73.96/47.13 (v181(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30608, 6397])).
% 73.96/47.13 tff(30610,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30611,plain,
% 73.96/47.13 (((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40))) <=> ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30612,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30611])).
% 73.96/47.13 tff(30613,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30612, 30610])).
% 73.96/47.13 tff(30614,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30615,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 73.96/47.13 tff(30616,plain,
% 73.96/47.13 (v180(constB40) | (~v181(constB40))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30615, 12310, 6385, 6408])).
% 73.96/47.13 tff(30617,plain,
% 73.96/47.13 (v180(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30616, 30609])).
% 73.96/47.13 tff(30618,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30619,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30620,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 73.96/47.13 tff(30621,plain,
% 73.96/47.13 (v179(constB40) | (~v180(constB40))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30620, 12328, 6385])).
% 73.96/47.13 tff(30622,plain,
% 73.96/47.13 (v179(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30621, 30617])).
% 73.96/47.13 tff(30623,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB40)) | v186(constB40) | (~v179(constB40)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30624,plain,
% 73.96/47.13 (((~v179(constB40)) | (~v159(constB40)) | v186(constB40)) <=> ((~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30625,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB40)) | v186(constB40) | (~v179(constB40))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30624])).
% 73.96/47.13 tff(30626,plain,
% 73.96/47.13 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30625, 30623])).
% 73.96/47.13 tff(30627,plain,
% 73.96/47.13 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30628,plain,
% 73.96/47.13 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30627, 30626])).
% 73.96/47.13 tff(30629,plain,
% 73.96/47.13 ((~v159(constB40)) | v186(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30628, 12343, 30622])).
% 73.96/47.13 tff(30630,plain,
% 73.96/47.13 (~v159(constB40)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30629, 30601])).
% 73.96/47.13 tff(30631,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30632,plain,
% 73.96/47.13 (((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41))) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30633,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30632])).
% 73.96/47.13 tff(30634,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30633, 30631])).
% 73.96/47.13 tff(30635,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30636,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 73.96/47.13 tff(30637,plain,
% 73.96/47.13 (~v180(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30636, 12367, 6456, 6453])).
% 73.96/47.13 tff(30638,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30639,plain,
% 73.96/47.13 (((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41)) <=> ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30640,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30639])).
% 73.96/47.13 tff(30641,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30640, 30638])).
% 73.96/47.13 tff(30642,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30643,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30642, 30641])).
% 73.96/47.13 tff(30644,plain,
% 73.96/47.13 (v180(constB41) | (~v179(constB41))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30643, 12384, 6456])).
% 73.96/47.13 tff(30645,plain,
% 73.96/47.13 (~v179(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30644, 30637])).
% 73.96/47.13 tff(30646,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30647,plain,
% 73.96/47.13 (((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41))) <=> (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30648,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30647])).
% 73.96/47.13 tff(30649,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30648, 30646])).
% 73.96/47.13 tff(30650,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30651,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30650, 30649])).
% 73.96/47.13 tff(30652,plain,
% 73.96/47.13 (v159(constB40) | v179(constB41) | (~v159(constB41))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30651, 12402, 6456])).
% 73.96/47.13 tff(30653,plain,
% 73.96/47.13 (v159(constB40) | (~v159(constB41))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30652, 30645])).
% 73.96/47.13 tff(30654,plain,
% 73.96/47.13 (~v159(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30653, 30630])).
% 73.96/47.13 tff(30655,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30656,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30657,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 73.96/47.13 tff(30658,plain,
% 73.96/47.13 (~v201(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30657, 12418, 30654])).
% 73.96/47.13 tff(30659,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30660,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30661,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30660, 30659])).
% 73.96/47.13 tff(30662,plain,
% 73.96/47.13 (~v200(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30661, 4401, 30658])).
% 73.96/47.13 tff(30663,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30664,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30665,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 73.96/47.13 tff(30666,plain,
% 73.96/47.13 (~v198(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30665, 4412, 30662])).
% 73.96/47.13 tff(30667,assumption,(v18(constB42)), introduced(assumption)).
% 73.96/47.13 tff(30668,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB42))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30669,plain,
% 73.96/47.13 ($false),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30668, 58, 30667])).
% 73.96/47.13 tff(30670,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.13 tff(30671,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30672,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30673,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30672, 30671])).
% 73.96/47.13 tff(30674,plain,
% 73.96/47.13 (v22(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30673, 71, 6594])).
% 73.96/47.13 tff(30675,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30676,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30677,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30676, 30675])).
% 73.96/47.13 tff(30678,plain,
% 73.96/47.13 ((~v19(constB42)) | v18(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30677, 85, 30674])).
% 73.96/47.13 tff(30679,plain,
% 73.96/47.13 (~v19(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30678, 30670])).
% 73.96/47.13 tff(30680,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30681,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30682,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 73.96/47.13 tff(30683,plain,
% 73.96/47.13 (v13(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30682, 100, 30679])).
% 73.96/47.13 tff(30684,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30685,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30686,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30685, 30684])).
% 73.96/47.13 tff(30687,plain,
% 73.96/47.13 ((~v13(constB42)) | v9(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30686, 117, 6571])).
% 73.96/47.13 tff(30688,plain,
% 73.96/47.13 (v9(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30687, 30683])).
% 73.96/47.13 tff(30689,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30690,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30691,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30690, 30689])).
% 73.96/47.13 tff(30692,plain,
% 73.96/47.13 ((~v9(constB41)) | v197(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30691, 4454, 6453])).
% 73.96/47.13 tff(30693,plain,
% 73.96/47.13 (v197(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30692, 30688])).
% 73.96/47.13 tff(30694,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB41) | (~v197(constB41)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB41) | (~v197(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30695,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB41) | (~v197(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30696,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB41) | (~v197(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 73.96/47.13 tff(30697,plain,
% 73.96/47.13 (v196(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30696, 4466, 30693])).
% 73.96/47.13 tff(30698,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30699,plain,
% 73.96/47.13 (((~v196(constB41)) | (~v194(constB41))) <=> ((~v194(constB41)) | (~v196(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30700,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41))))),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30699])).
% 73.96/47.13 tff(30701,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41)))),
% 73.96/47.13 inference(transitivity,[status(thm)],[30700, 30698])).
% 73.96/47.13 tff(30702,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30703,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 73.96/47.13 tff(30704,plain,
% 73.96/47.13 (~v194(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30703, 4477, 30697])).
% 73.96/47.13 tff(30705,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30706,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30707,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 73.96/47.13 tff(30708,plain,
% 73.96/47.13 (v198(constB41) | (~v191(constB41))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30707, 4491, 30704])).
% 73.96/47.13 tff(30709,plain,
% 73.96/47.13 (~v191(constB41)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30708, 30666])).
% 73.96/47.13 tff(30710,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30711,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30712,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30711, 30710])).
% 73.96/47.13 tff(30713,plain,
% 73.96/47.13 (v191(constB41) | (~v193(constB42))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30712, 4506, 6571])).
% 73.96/47.13 tff(30714,plain,
% 73.96/47.13 (~v193(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30713, 30709])).
% 73.96/47.13 tff(30715,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30716,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30717,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 73.96/47.13 tff(30718,plain,
% 73.96/47.13 (~v194(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30717, 4518, 30714])).
% 73.96/47.13 tff(30719,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30720,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30721,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 73.96/47.13 tff(30722,plain,
% 73.96/47.13 (~v197(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30721, 4529, 6594])).
% 73.96/47.13 tff(30723,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30724,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30725,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30724, 30723])).
% 73.96/47.13 tff(30726,plain,
% 73.96/47.13 (~v200(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30725, 4540, 30722])).
% 73.96/47.13 tff(30727,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30728,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30729,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 73.96/47.13 tff(30730,plain,
% 73.96/47.13 (~v198(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30729, 4412, 30726])).
% 73.96/47.13 tff(30731,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30732,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30733,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30732, 30731])).
% 73.96/47.13 tff(30734,plain,
% 73.96/47.13 (v194(constB42) | (~v191(constB42))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30733, 4491, 30730])).
% 73.96/47.13 tff(30735,plain,
% 73.96/47.13 (~v191(constB42)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30734, 30718])).
% 73.96/47.13 tff(30736,plain,
% 73.96/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30737,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30738,plain,
% 73.96/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30737, 30736])).
% 73.96/47.13 tff(30739,plain,
% 73.96/47.13 (v191(constB42) | (~v193(constB43))),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30738, 4506, 6639])).
% 73.96/47.13 tff(30740,plain,
% 73.96/47.13 (~v193(constB43)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30739, 30735])).
% 73.96/47.13 tff(30741,plain,
% 73.96/47.13 ($false),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30740, 30551])).
% 73.96/47.13 tff(30742,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.13 tff(30743,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.13 tff(30744,plain,
% 73.96/47.13 (v193(constB63) <=> v193(sK0_VarCurr)),
% 73.96/47.13 inference(monotonicity,[status(thm)],[30743])).
% 73.96/47.13 tff(30745,plain,
% 73.96/47.13 (v193(sK0_VarCurr) <=> v193(constB63)),
% 73.96/47.13 inference(symmetry,[status(thm)],[30744])).
% 73.96/47.13 tff(30746,plain,
% 73.96/47.13 (v193(constB63)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[17, 30745])).
% 73.96/47.13 tff(30747,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30748,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30749,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 73.96/47.13 tff(30750,plain,
% 73.96/47.13 (~v88(constB57, bitIndex1)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30749, 25107, 8405])).
% 73.96/47.13 tff(30751,plain,
% 73.96/47.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30752,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30753,plain,
% 73.96/47.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0)),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30752, 30751])).
% 73.96/47.13 tff(30754,plain,
% 73.96/47.13 (v88(constB57, bitIndex0)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30753, 12199, 8369])).
% 73.96/47.13 tff(30755,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))),
% 73.96/47.13 inference(rewrite,[status(thm)],[])).
% 73.96/47.13 tff(30756,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))),
% 73.96/47.13 inference(quant_inst,[status(thm)],[])).
% 73.96/47.13 tff(30757,plain,
% 73.96/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2))),
% 73.96/47.13 inference(modus_ponens,[status(thm)],[30756, 30755])).
% 73.96/47.13 tff(30758,plain,
% 73.96/47.13 (~v88(constB57, bitIndex2)),
% 73.96/47.13 inference(unit_resolution,[status(thm)],[30757, 12119, 9206])).
% 73.96/47.13 tff(30759,plain,
% 73.96/47.13 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30760,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30761,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30760, 30759])).
% 73.96/47.14 tff(30762,plain,
% 73.96/47.14 (v140(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30761, 25221, 30758, 30754, 30750])).
% 73.96/47.14 tff(30763,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB57) | (~v140(constB57)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB57) | (~v140(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30764,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB57) | (~v140(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30765,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB57) | (~v140(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30764, 30763])).
% 73.96/47.14 tff(30766,plain,
% 73.96/47.14 (v169(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30765, 25235, 30762])).
% 73.96/47.14 tff(30767,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB57) | (~v169(constB57)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB57) | (~v169(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30768,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB57) | (~v169(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30769,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB57) | (~v169(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30768, 30767])).
% 73.96/47.14 tff(30770,plain,
% 73.96/47.14 (v168(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30769, 25246, 30766])).
% 73.96/47.14 tff(30771,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB57) | (~v168(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30772,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB57) | (~v168(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30773,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB57) | (~v168(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30772, 30771])).
% 73.96/47.14 tff(30774,plain,
% 73.96/47.14 (v167(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30773, 12235, 30770])).
% 73.96/47.14 tff(30775,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB57)) | (~v170(constB57)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB57)) | (~v170(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30776,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB57)) | (~v170(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30777,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB57)) | (~v170(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30776, 30775])).
% 73.96/47.14 tff(30778,plain,
% 73.96/47.14 (~v170(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30777, 4351, 30774])).
% 73.96/47.14 tff(30779,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB57) | (~v167(constB57)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB57) | (~v167(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30780,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB57) | (~v167(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30781,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB57) | (~v167(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 73.96/47.14 tff(30782,plain,
% 73.96/47.14 (v166(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30781, 4362, 30774])).
% 73.96/47.14 tff(30783,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB57)) | v170(constB57) | (~v166(constB57)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB57)) | v170(constB57) | (~v166(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30784,plain,
% 73.96/47.14 (((~v166(constB57)) | v170(constB57) | (~v163(constB57))) <=> ((~v163(constB57)) | v170(constB57) | (~v166(constB57)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30785,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB57)) | v170(constB57) | (~v163(constB57)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB57)) | v170(constB57) | (~v166(constB57))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30784])).
% 73.96/47.14 tff(30786,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB57)) | v170(constB57) | (~v163(constB57)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB57)) | v170(constB57) | (~v166(constB57)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30785, 30783])).
% 73.96/47.14 tff(30787,plain,
% 73.96/47.14 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB57)) | v170(constB57) | (~v163(constB57)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30788,plain,
% 73.96/47.14 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB57)) | v170(constB57) | (~v166(constB57))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30787, 30786])).
% 73.96/47.14 tff(30789,plain,
% 73.96/47.14 (~v163(constB57)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30788, 4376, 30782, 30778])).
% 73.96/47.14 tff(30790,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30791,plain,
% 73.96/47.14 (((~nextState(constB57, constB58)) | v163(constB57) | (~v186(constB58))) <=> (v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30792,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB57, constB58)) | v163(constB57) | (~v186(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30791])).
% 73.96/47.14 tff(30793,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB57, constB58)) | v163(constB57) | (~v186(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30792, 30790])).
% 73.96/47.14 tff(30794,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB57, constB58)) | v163(constB57) | (~v186(constB58)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30795,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB57) | (~nextState(constB57, constB58)) | (~v186(constB58))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 73.96/47.14 tff(30796,plain,
% 73.96/47.14 (v163(constB57) | (~v186(constB58))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30795, 12267, 9233])).
% 73.96/47.14 tff(30797,plain,
% 73.96/47.14 (~v186(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30796, 30789])).
% 73.96/47.14 tff(30798,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB57, constB58)) | v181(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB57, constB58)) | v181(constB58) | v104(constB58))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30799,plain,
% 73.96/47.14 (((~nextState(constB57, constB58)) | v104(constB58) | v181(constB58)) <=> ((~nextState(constB57, constB58)) | v181(constB58) | v104(constB58))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30800,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v181(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB57, constB58)) | v181(constB58) | v104(constB58)))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30799])).
% 73.96/47.14 tff(30801,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v181(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB57, constB58)) | v181(constB58) | v104(constB58))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30800, 30798])).
% 73.96/47.14 tff(30802,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v181(constB58))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30803,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB57, constB58)) | v181(constB58) | v104(constB58)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 73.96/47.14 tff(30804,plain,
% 73.96/47.14 (v181(constB58) | v104(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30803, 12289, 9233])).
% 73.96/47.14 tff(30805,plain,
% 73.96/47.14 (v181(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30804, 9243])).
% 73.96/47.14 tff(30806,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30807,plain,
% 73.96/47.14 (((~nextState(constB57, constB58)) | (~v1(constB58)) | v180(constB58) | (~v181(constB58))) <=> ((~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30808,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v180(constB58) | (~v181(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30807])).
% 73.96/47.14 tff(30809,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v180(constB58) | (~v181(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30808, 30806])).
% 73.96/47.14 tff(30810,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v180(constB58) | (~v181(constB58)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30811,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB57, constB58)) | v180(constB58) | (~v1(constB58)) | (~v181(constB58))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 73.96/47.14 tff(30812,plain,
% 73.96/47.14 (v180(constB58) | (~v181(constB58))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30811, 12310, 9233, 9254])).
% 73.96/47.14 tff(30813,plain,
% 73.96/47.14 (v180(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30812, 30805])).
% 73.96/47.14 tff(30814,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v179(constB58) | (~v180(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v179(constB58) | (~v180(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30815,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v179(constB58) | (~v180(constB58)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30816,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v179(constB58) | (~v180(constB58))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30815, 30814])).
% 73.96/47.14 tff(30817,plain,
% 73.96/47.14 (v179(constB58) | (~v180(constB58))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30816, 12328, 9233])).
% 73.96/47.14 tff(30818,plain,
% 73.96/47.14 (v179(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30817, 30813])).
% 73.96/47.14 tff(30819,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB58)) | v186(constB58) | (~v179(constB58)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB58)) | v186(constB58) | (~v179(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30820,plain,
% 73.96/47.14 (((~v179(constB58)) | (~v159(constB58)) | v186(constB58)) <=> ((~v159(constB58)) | v186(constB58) | (~v179(constB58)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30821,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB58)) | (~v159(constB58)) | v186(constB58))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB58)) | v186(constB58) | (~v179(constB58))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30820])).
% 73.96/47.14 tff(30822,plain,
% 73.96/47.14 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB58)) | (~v159(constB58)) | v186(constB58))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB58)) | v186(constB58) | (~v179(constB58)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30821, 30819])).
% 73.96/47.14 tff(30823,plain,
% 73.96/47.14 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB58)) | (~v159(constB58)) | v186(constB58))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30824,plain,
% 73.96/47.14 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB58)) | v186(constB58) | (~v179(constB58))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 73.96/47.14 tff(30825,plain,
% 73.96/47.14 ((~v159(constB58)) | v186(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30824, 12343, 30818])).
% 73.96/47.14 tff(30826,plain,
% 73.96/47.14 (~v159(constB58)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30825, 30797])).
% 73.96/47.14 tff(30827,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30828,plain,
% 73.96/47.14 (((~nextState(constB58, constB59)) | v1(constB59) | (~v180(constB59))) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30829,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v1(constB59) | (~v180(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30828])).
% 73.96/47.14 tff(30830,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v1(constB59) | (~v180(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30829, 30827])).
% 73.96/47.14 tff(30831,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v1(constB59) | (~v180(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30832,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v180(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 73.96/47.14 tff(30833,plain,
% 73.96/47.14 (~v180(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30832, 12367, 9663, 9660])).
% 73.96/47.14 tff(30834,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30835,plain,
% 73.96/47.14 (((~nextState(constB58, constB59)) | (~v179(constB59)) | v180(constB59)) <=> ((~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30836,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB58, constB59)) | (~v179(constB59)) | v180(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30835])).
% 73.96/47.14 tff(30837,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB58, constB59)) | (~v179(constB59)) | v180(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30836, 30834])).
% 73.96/47.14 tff(30838,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB58, constB59)) | (~v179(constB59)) | v180(constB59))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30839,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB58, constB59)) | v180(constB59) | (~v179(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 73.96/47.14 tff(30840,plain,
% 73.96/47.14 (v180(constB59) | (~v179(constB59))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30839, 12384, 9663])).
% 73.96/47.14 tff(30841,plain,
% 73.96/47.14 (~v179(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30840, 30833])).
% 73.96/47.14 tff(30842,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30843,plain,
% 73.96/47.14 (((~nextState(constB58, constB59)) | v179(constB59) | v159(constB58) | (~v159(constB59))) <=> (v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30844,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB58, constB59)) | v179(constB59) | v159(constB58) | (~v159(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59))))),
% 73.96/47.14 inference(monotonicity,[status(thm)],[30843])).
% 73.96/47.14 tff(30845,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB58, constB59)) | v179(constB59) | v159(constB58) | (~v159(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59)))),
% 73.96/47.14 inference(transitivity,[status(thm)],[30844, 30842])).
% 73.96/47.14 tff(30846,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB58, constB59)) | v179(constB59) | v159(constB58) | (~v159(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30847,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB58) | (~nextState(constB58, constB59)) | v179(constB59) | (~v159(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 73.96/47.14 tff(30848,plain,
% 73.96/47.14 (v159(constB58) | v179(constB59) | (~v159(constB59))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30847, 12402, 9663])).
% 73.96/47.14 tff(30849,plain,
% 73.96/47.14 (v159(constB58) | (~v159(constB59))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30848, 30841])).
% 73.96/47.14 tff(30850,plain,
% 73.96/47.14 (~v159(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30849, 30826])).
% 73.96/47.14 tff(30851,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB59) | (~v201(constB59)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB59) | (~v201(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30852,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB59) | (~v201(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30853,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB59) | (~v201(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30852, 30851])).
% 73.96/47.14 tff(30854,plain,
% 73.96/47.14 (~v201(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30853, 12418, 30850])).
% 73.96/47.14 tff(30855,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB59) | (~v200(constB59)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB59) | (~v200(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30856,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB59) | (~v200(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30857,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB59) | (~v200(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 73.96/47.14 tff(30858,plain,
% 73.96/47.14 (~v200(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30857, 4401, 30854])).
% 73.96/47.14 tff(30859,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB59) | (~v198(constB59)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB59) | (~v198(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30860,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB59) | (~v198(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30861,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB59) | (~v198(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30860, 30859])).
% 73.96/47.14 tff(30862,plain,
% 73.96/47.14 (~v198(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30861, 4412, 30858])).
% 73.96/47.14 tff(30863,assumption,(v18(constB60)), introduced(assumption)).
% 73.96/47.14 tff(30864,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB60))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30865,plain,
% 73.96/47.14 ($false),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30864, 58, 30863])).
% 73.96/47.14 tff(30866,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.14 tff(30867,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30868,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30869,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30868, 30867])).
% 73.96/47.14 tff(30870,plain,
% 73.96/47.14 (v22(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30869, 71, 9782])).
% 73.96/47.14 tff(30871,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30872,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30873,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30872, 30871])).
% 73.96/47.14 tff(30874,plain,
% 73.96/47.14 ((~v19(constB60)) | v18(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30873, 85, 30870])).
% 73.96/47.14 tff(30875,plain,
% 73.96/47.14 (~v19(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30874, 30866])).
% 73.96/47.14 tff(30876,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30877,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30878,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 73.96/47.14 tff(30879,plain,
% 73.96/47.14 (v13(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30878, 100, 30875])).
% 73.96/47.14 tff(30880,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30881,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30882,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30881, 30880])).
% 73.96/47.14 tff(30883,plain,
% 73.96/47.14 ((~v13(constB60)) | v9(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30882, 117, 9759])).
% 73.96/47.14 tff(30884,plain,
% 73.96/47.14 (v9(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30883, 30879])).
% 73.96/47.14 tff(30885,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v197(constB59))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB59) | (~v9(constB59)) | v197(constB59))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30886,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v197(constB59))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30887,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB59) | (~v9(constB59)) | v197(constB59)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30886, 30885])).
% 73.96/47.14 tff(30888,plain,
% 73.96/47.14 ((~v9(constB59)) | v197(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30887, 4454, 9660])).
% 73.96/47.14 tff(30889,plain,
% 73.96/47.14 (v197(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30888, 30884])).
% 73.96/47.14 tff(30890,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB59) | (~v197(constB59)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB59) | (~v197(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30891,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB59) | (~v197(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30892,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB59) | (~v197(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 73.96/47.14 tff(30893,plain,
% 73.96/47.14 (v196(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30892, 4466, 30889])).
% 73.96/47.14 tff(30894,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB59)) | (~v194(constB59)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB59)) | (~v194(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30895,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB59)) | (~v194(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30896,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB59)) | (~v194(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 73.96/47.14 tff(30897,plain,
% 73.96/47.14 (~v194(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30896, 4477, 30893])).
% 73.96/47.14 tff(30898,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB59) | v198(constB59) | (~v191(constB59)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB59) | v198(constB59) | (~v191(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30899,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB59) | v198(constB59) | (~v191(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30900,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB59) | v198(constB59) | (~v191(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30899, 30898])).
% 73.96/47.14 tff(30901,plain,
% 73.96/47.14 (v198(constB59) | (~v191(constB59))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30900, 4491, 30897])).
% 73.96/47.14 tff(30902,plain,
% 73.96/47.14 (~v191(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30901, 30862])).
% 73.96/47.14 tff(30903,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB59, constB60)) | v191(constB59) | (~v193(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB59, constB60)) | v191(constB59) | (~v193(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30904,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB59, constB60)) | v191(constB59) | (~v193(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30905,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB59, constB60)) | v191(constB59) | (~v193(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 73.96/47.14 tff(30906,plain,
% 73.96/47.14 (v191(constB59) | (~v193(constB60))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30905, 4506, 9759])).
% 73.96/47.14 tff(30907,plain,
% 73.96/47.14 (~v193(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30906, 30902])).
% 73.96/47.14 tff(30908,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB60) | (~v194(constB60)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB60) | (~v194(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30909,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB60) | (~v194(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30910,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB60) | (~v194(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 73.96/47.14 tff(30911,plain,
% 73.96/47.14 (~v194(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30910, 4518, 30907])).
% 73.96/47.14 tff(30912,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB60)) | (~v197(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB60)) | (~v197(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30913,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB60)) | (~v197(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30914,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB60)) | (~v197(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30913, 30912])).
% 73.96/47.14 tff(30915,plain,
% 73.96/47.14 (~v197(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30914, 4529, 9782])).
% 73.96/47.14 tff(30916,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB60) | (~v200(constB60)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB60) | (~v200(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30917,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB60) | (~v200(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30918,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB60) | (~v200(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 73.96/47.14 tff(30919,plain,
% 73.96/47.14 (~v200(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30918, 4540, 30915])).
% 73.96/47.14 tff(30920,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB60) | (~v198(constB60)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB60) | (~v198(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30921,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB60) | (~v198(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30922,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB60) | (~v198(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30921, 30920])).
% 73.96/47.14 tff(30923,plain,
% 73.96/47.14 (~v198(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30922, 4412, 30919])).
% 73.96/47.14 tff(30924,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB60) | v198(constB60) | (~v191(constB60)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB60) | v198(constB60) | (~v191(constB60)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30925,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB60) | v198(constB60) | (~v191(constB60)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30926,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB60) | v198(constB60) | (~v191(constB60))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30925, 30924])).
% 73.96/47.14 tff(30927,plain,
% 73.96/47.14 (v194(constB60) | (~v191(constB60))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30926, 4491, 30923])).
% 73.96/47.14 tff(30928,plain,
% 73.96/47.14 (~v191(constB60)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30927, 30911])).
% 73.96/47.14 tff(30929,plain,
% 73.96/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB60, constB61)) | v191(constB60) | (~v193(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB60, constB61)) | v191(constB60) | (~v193(constB61)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30930,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB60, constB61)) | v191(constB60) | (~v193(constB61)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30931,plain,
% 73.96/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB60, constB61)) | v191(constB60) | (~v193(constB61))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30930, 30929])).
% 73.96/47.14 tff(30932,plain,
% 73.96/47.14 (v191(constB60) | (~v193(constB61))),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30931, 4506, 9834])).
% 73.96/47.14 tff(30933,plain,
% 73.96/47.14 (~v193(constB61)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30932, 30928])).
% 73.96/47.14 tff(30934,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB61) | (~v194(constB61)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB61) | (~v194(constB61)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30935,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB61) | (~v194(constB61)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30936,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB61) | (~v194(constB61))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30935, 30934])).
% 73.96/47.14 tff(30937,plain,
% 73.96/47.14 (~v194(constB61)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30936, 4518, 30933])).
% 73.96/47.14 tff(30938,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30939,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30940,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30939, 30938])).
% 73.96/47.14 tff(30941,plain,
% 73.96/47.14 (~v88(constB59, bitIndex2)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30940, 12119, 9684])).
% 73.96/47.14 tff(30942,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30943,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30944,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 73.96/47.14 tff(30945,plain,
% 73.96/47.14 (~v88(constB59, bitIndex0)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30944, 4274, 9712])).
% 73.96/47.14 tff(30946,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30947,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30948,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 73.96/47.14 tff(30949,plain,
% 73.96/47.14 (v88(constB59, bitIndex1)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30948, 4297, 9698])).
% 73.96/47.14 tff(30950,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30951,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30952,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59)),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30951, 30950])).
% 73.96/47.14 tff(30953,plain,
% 73.96/47.14 (v143(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30952, 28498, 30949, 30945, 30941])).
% 73.96/47.14 tff(30954,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB59) | (~v143(constB59)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB59) | (~v143(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30955,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB59) | (~v143(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30956,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB59) | (~v143(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 73.96/47.14 tff(30957,plain,
% 73.96/47.14 (v142(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30956, 28512, 30953])).
% 73.96/47.14 tff(30958,plain,
% 73.96/47.14 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB59) | (~v142(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30959,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB59) | (~v142(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30960,plain,
% 73.96/47.14 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB59) | (~v142(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 73.96/47.14 tff(30961,plain,
% 73.96/47.14 (v167(constB59)),
% 73.96/47.14 inference(unit_resolution,[status(thm)],[30960, 4337, 30957])).
% 73.96/47.14 tff(30962,plain,
% 73.96/47.14 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB59)) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB59)) | (~v170(constB59)))),
% 73.96/47.14 inference(rewrite,[status(thm)],[])).
% 73.96/47.14 tff(30963,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB59)) | (~v170(constB59)))),
% 73.96/47.14 inference(quant_inst,[status(thm)],[])).
% 73.96/47.14 tff(30964,plain,
% 73.96/47.14 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB59)) | (~v170(constB59))),
% 73.96/47.14 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 73.96/47.15 tff(30965,plain,
% 73.96/47.15 (~v170(constB59)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30964, 4351, 30961])).
% 73.96/47.15 tff(30966,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB59) | (~v167(constB59)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB59) | (~v167(constB59)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30967,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB59) | (~v167(constB59)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(30968,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB59) | (~v167(constB59))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[30967, 30966])).
% 73.96/47.15 tff(30969,plain,
% 73.96/47.15 (v166(constB59)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30968, 4362, 30961])).
% 73.96/47.15 tff(30970,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB59)) | v170(constB59) | (~v166(constB59)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30971,plain,
% 73.96/47.15 (((~v166(constB59)) | v170(constB59) | (~v163(constB59))) <=> ((~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30972,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB59)) | v170(constB59) | (~v166(constB59))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[30971])).
% 73.96/47.15 tff(30973,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[30972, 30970])).
% 73.96/47.15 tff(30974,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(30975,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[30974, 30973])).
% 73.96/47.15 tff(30976,plain,
% 73.96/47.15 (~v163(constB59)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30975, 4376, 30969, 30965])).
% 73.96/47.15 tff(30977,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30978,plain,
% 73.96/47.15 (((~nextState(constB59, constB60)) | v163(constB59) | (~v186(constB60))) <=> (v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30979,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB59, constB60)) | v163(constB59) | (~v186(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[30978])).
% 73.96/47.15 tff(30980,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB59, constB60)) | v163(constB59) | (~v186(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[30979, 30977])).
% 73.96/47.15 tff(30981,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB59, constB60)) | v163(constB59) | (~v186(constB60)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(30982,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB59) | (~nextState(constB59, constB60)) | (~v186(constB60))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 73.96/47.15 tff(30983,plain,
% 73.96/47.15 (v163(constB59) | (~v186(constB60))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30982, 12267, 9759])).
% 73.96/47.15 tff(30984,plain,
% 73.96/47.15 (~v186(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30983, 30976])).
% 73.96/47.15 tff(30985,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB59, constB60)) | v181(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB59, constB60)) | v181(constB60) | v104(constB60))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30986,plain,
% 73.96/47.15 (((~nextState(constB59, constB60)) | v104(constB60) | v181(constB60)) <=> ((~nextState(constB59, constB60)) | v181(constB60) | v104(constB60))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30987,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v181(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB59, constB60)) | v181(constB60) | v104(constB60)))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[30986])).
% 73.96/47.15 tff(30988,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v181(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB59, constB60)) | v181(constB60) | v104(constB60))),
% 73.96/47.15 inference(transitivity,[status(thm)],[30987, 30985])).
% 73.96/47.15 tff(30989,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v181(constB60))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(30990,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB59, constB60)) | v181(constB60) | v104(constB60)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 73.96/47.15 tff(30991,plain,
% 73.96/47.15 (v181(constB60) | v104(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30990, 12289, 9759])).
% 73.96/47.15 tff(30992,plain,
% 73.96/47.15 (v181(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30991, 9771])).
% 73.96/47.15 tff(30993,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30994,plain,
% 73.96/47.15 (((~nextState(constB59, constB60)) | (~v1(constB60)) | v180(constB60) | (~v181(constB60))) <=> ((~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(30995,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v180(constB60) | (~v181(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[30994])).
% 73.96/47.15 tff(30996,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v180(constB60) | (~v181(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[30995, 30993])).
% 73.96/47.15 tff(30997,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v180(constB60) | (~v181(constB60)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(30998,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB59, constB60)) | v180(constB60) | (~v1(constB60)) | (~v181(constB60))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[30997, 30996])).
% 73.96/47.15 tff(30999,plain,
% 73.96/47.15 (v180(constB60) | (~v181(constB60))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30998, 12310, 9759, 9782])).
% 73.96/47.15 tff(31000,plain,
% 73.96/47.15 (v180(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[30999, 30992])).
% 73.96/47.15 tff(31001,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v179(constB60) | (~v180(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v179(constB60) | (~v180(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31002,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v179(constB60) | (~v180(constB60)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31003,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v179(constB60) | (~v180(constB60))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31002, 31001])).
% 73.96/47.15 tff(31004,plain,
% 73.96/47.15 (v179(constB60) | (~v180(constB60))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31003, 12328, 9759])).
% 73.96/47.15 tff(31005,plain,
% 73.96/47.15 (v179(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31004, 31000])).
% 73.96/47.15 tff(31006,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB60)) | v186(constB60) | (~v179(constB60)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB60)) | v186(constB60) | (~v179(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31007,plain,
% 73.96/47.15 (((~v179(constB60)) | (~v159(constB60)) | v186(constB60)) <=> ((~v159(constB60)) | v186(constB60) | (~v179(constB60)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31008,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB60)) | (~v159(constB60)) | v186(constB60))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB60)) | v186(constB60) | (~v179(constB60))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31007])).
% 73.96/47.15 tff(31009,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB60)) | (~v159(constB60)) | v186(constB60))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB60)) | v186(constB60) | (~v179(constB60)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31008, 31006])).
% 73.96/47.15 tff(31010,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB60)) | (~v159(constB60)) | v186(constB60))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31011,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB60)) | v186(constB60) | (~v179(constB60))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31010, 31009])).
% 73.96/47.15 tff(31012,plain,
% 73.96/47.15 ((~v159(constB60)) | v186(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31011, 12343, 31005])).
% 73.96/47.15 tff(31013,plain,
% 73.96/47.15 (~v159(constB60)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31012, 30984])).
% 73.96/47.15 tff(31014,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31015,plain,
% 73.96/47.15 (((~nextState(constB60, constB61)) | v1(constB61) | (~v180(constB61))) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31016,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v1(constB61) | (~v180(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31015])).
% 73.96/47.15 tff(31017,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v1(constB61) | (~v180(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31016, 31014])).
% 73.96/47.15 tff(31018,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v1(constB61) | (~v180(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31019,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v180(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 73.96/47.15 tff(31020,plain,
% 73.96/47.15 (~v180(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31019, 12367, 9834, 9831])).
% 73.96/47.15 tff(31021,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31022,plain,
% 73.96/47.15 (((~nextState(constB60, constB61)) | (~v179(constB61)) | v180(constB61)) <=> ((~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31023,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB60, constB61)) | (~v179(constB61)) | v180(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31022])).
% 73.96/47.15 tff(31024,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB60, constB61)) | (~v179(constB61)) | v180(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31023, 31021])).
% 73.96/47.15 tff(31025,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB60, constB61)) | (~v179(constB61)) | v180(constB61))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31026,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB60, constB61)) | v180(constB61) | (~v179(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31025, 31024])).
% 73.96/47.15 tff(31027,plain,
% 73.96/47.15 (v180(constB61) | (~v179(constB61))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31026, 12384, 9834])).
% 73.96/47.15 tff(31028,plain,
% 73.96/47.15 (~v179(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31027, 31020])).
% 73.96/47.15 tff(31029,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31030,plain,
% 73.96/47.15 (((~nextState(constB60, constB61)) | v179(constB61) | v159(constB60) | (~v159(constB61))) <=> (v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31031,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB60, constB61)) | v179(constB61) | v159(constB60) | (~v159(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61))))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31030])).
% 73.96/47.15 tff(31032,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB60, constB61)) | v179(constB61) | v159(constB60) | (~v159(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61)))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31031, 31029])).
% 73.96/47.15 tff(31033,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB60, constB61)) | v179(constB61) | v159(constB60) | (~v159(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31034,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB60) | (~nextState(constB60, constB61)) | v179(constB61) | (~v159(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31033, 31032])).
% 73.96/47.15 tff(31035,plain,
% 73.96/47.15 (v159(constB60) | v179(constB61) | (~v159(constB61))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31034, 12402, 9834])).
% 73.96/47.15 tff(31036,plain,
% 73.96/47.15 (v159(constB60) | (~v159(constB61))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31035, 31028])).
% 73.96/47.15 tff(31037,plain,
% 73.96/47.15 (~v159(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31036, 31013])).
% 73.96/47.15 tff(31038,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB61) | (~v201(constB61)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB61) | (~v201(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31039,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB61) | (~v201(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31040,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB61) | (~v201(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31039, 31038])).
% 73.96/47.15 tff(31041,plain,
% 73.96/47.15 (~v201(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31040, 12418, 31037])).
% 73.96/47.15 tff(31042,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31043,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31044,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 73.96/47.15 tff(31045,plain,
% 73.96/47.15 (~v200(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31044, 4401, 31041])).
% 73.96/47.15 tff(31046,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31047,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31048,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31047, 31046])).
% 73.96/47.15 tff(31049,plain,
% 73.96/47.15 (~v198(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31048, 4412, 31045])).
% 73.96/47.15 tff(31050,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31051,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31052,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 73.96/47.15 tff(31053,plain,
% 73.96/47.15 (v194(constB61) | (~v191(constB61))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31052, 4491, 31049])).
% 73.96/47.15 tff(31054,plain,
% 73.96/47.15 (~v191(constB61)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31053, 30937])).
% 73.96/47.15 tff(31055,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31056,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31057,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 73.96/47.15 tff(31058,plain,
% 73.96/47.15 (v191(constB61) | (~v193(constB62))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31057, 4506, 9956])).
% 73.96/47.15 tff(31059,plain,
% 73.96/47.15 (~v193(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31058, 31054])).
% 73.96/47.15 tff(31060,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31061,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31062,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 73.96/47.15 tff(31063,plain,
% 73.96/47.15 (~v194(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31062, 4518, 31059])).
% 73.96/47.15 tff(31064,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31065,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31066,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 73.96/47.15 tff(31067,plain,
% 73.96/47.15 (~v197(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31066, 4529, 9979])).
% 73.96/47.15 tff(31068,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31069,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31070,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31069, 31068])).
% 73.96/47.15 tff(31071,plain,
% 73.96/47.15 (~v200(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31070, 4540, 31067])).
% 73.96/47.15 tff(31072,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31073,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31074,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 73.96/47.15 tff(31075,plain,
% 73.96/47.15 (~v198(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31074, 4412, 31071])).
% 73.96/47.15 tff(31076,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31077,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31078,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31077, 31076])).
% 73.96/47.15 tff(31079,plain,
% 73.96/47.15 (v194(constB62) | (~v191(constB62))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31078, 4491, 31075])).
% 73.96/47.15 tff(31080,plain,
% 73.96/47.15 (~v191(constB62)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31079, 31063])).
% 73.96/47.15 tff(31081,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31082,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31083,plain,
% 73.96/47.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31082, 31081])).
% 73.96/47.15 tff(31084,plain,
% 73.96/47.15 (v191(constB62) | (~v193(constB63))),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31083, 4506, 10024])).
% 73.96/47.15 tff(31085,plain,
% 73.96/47.15 (~v193(constB63)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31084, 31080])).
% 73.96/47.15 tff(31086,plain,
% 73.96/47.15 ($false),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31085, 30746])).
% 73.96/47.15 tff(31087,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.15 tff(31088,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.15 tff(31089,plain,
% 73.96/47.15 (v1(constB196) <=> v1(sK0_VarCurr)),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31088])).
% 73.96/47.15 tff(31090,plain,
% 73.96/47.15 (v1(sK0_VarCurr) <=> v1(constB196)),
% 73.96/47.15 inference(symmetry,[status(thm)],[31089])).
% 73.96/47.15 tff(31091,plain,
% 73.96/47.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31090])).
% 73.96/47.15 tff(31092,plain,
% 73.96/47.15 (~v1(constB196)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[4604, 31091])).
% 73.96/47.15 tff(31093,plain,
% 73.96/47.15 (v1(constB196) <=> v1(constB196)),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31094,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 73.96/47.15 tff(31095,plain,
% 73.96/47.15 (v1(constB196)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31094, 31093])).
% 73.96/47.15 tff(31096,plain,
% 73.96/47.15 ($false),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31095, 31092])).
% 73.96/47.15 tff(31097,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.15 tff(31098,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.15 tff(31099,plain,
% 73.96/47.15 (v193(constB119) <=> v193(sK0_VarCurr)),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31098])).
% 73.96/47.15 tff(31100,plain,
% 73.96/47.15 (v193(sK0_VarCurr) <=> v193(constB119)),
% 73.96/47.15 inference(symmetry,[status(thm)],[31099])).
% 73.96/47.15 tff(31101,plain,
% 73.96/47.15 (v193(constB119)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[17, 31100])).
% 73.96/47.15 tff(31102,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31103,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31104,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 73.96/47.15 tff(31105,plain,
% 73.96/47.15 (~v88(constB115, bitIndex0)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31104, 4274, 19100])).
% 73.96/47.15 tff(31106,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31107,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31108,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 73.96/47.15 tff(31109,plain,
% 73.96/47.15 (v88(constB115, bitIndex2)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31108, 4229, 18958])).
% 73.96/47.15 tff(31110,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31111,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31112,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 73.96/47.15 tff(31113,plain,
% 73.96/47.15 (v88(constB115, bitIndex1)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31112, 4297, 18965])).
% 73.96/47.15 tff(31114,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31115,plain,
% 73.96/47.15 (((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115)) <=> (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31116,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115)))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31115])).
% 73.96/47.15 tff(31117,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31116, 31114])).
% 73.96/47.15 tff(31118,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31119,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v144(constB115)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31118, 31117])).
% 73.96/47.15 tff(31120,plain,
% 73.96/47.15 (v144(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31119, 4311, 31113, 31109, 31105])).
% 73.96/47.15 tff(31121,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB115) | (~v144(constB115)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31122,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB115) | (~v144(constB115)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31123,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB115) | (~v144(constB115))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31122, 31121])).
% 73.96/47.15 tff(31124,plain,
% 73.96/47.15 (v142(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31123, 4326, 31120])).
% 73.96/47.15 tff(31125,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB115) | (~v142(constB115)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31126,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB115) | (~v142(constB115)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31127,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB115) | (~v142(constB115))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 73.96/47.15 tff(31128,plain,
% 73.96/47.15 (v167(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31127, 4337, 31124])).
% 73.96/47.15 tff(31129,plain,
% 73.96/47.15 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31130,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31131,plain,
% 73.96/47.15 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 73.96/47.15 tff(31132,plain,
% 73.96/47.15 (~v170(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31131, 4351, 31128])).
% 73.96/47.15 tff(31133,plain,
% 73.96/47.15 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31134,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31135,plain,
% 73.96/47.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115))),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 73.96/47.15 tff(31136,plain,
% 73.96/47.15 (v166(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31135, 4362, 31128])).
% 73.96/47.15 tff(31137,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31138,plain,
% 73.96/47.15 (((~v166(constB115)) | v170(constB115) | (~v163(constB115))) <=> ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31139,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115)))),
% 73.96/47.15 inference(monotonicity,[status(thm)],[31138])).
% 73.96/47.15 tff(31140,plain,
% 73.96/47.15 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 73.96/47.15 inference(transitivity,[status(thm)],[31139, 31137])).
% 73.96/47.15 tff(31141,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))),
% 73.96/47.15 inference(quant_inst,[status(thm)],[])).
% 73.96/47.15 tff(31142,plain,
% 73.96/47.15 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115)),
% 73.96/47.15 inference(modus_ponens,[status(thm)],[31141, 31140])).
% 73.96/47.15 tff(31143,plain,
% 73.96/47.15 (~v163(constB115)),
% 73.96/47.15 inference(unit_resolution,[status(thm)],[31142, 4376, 31136, 31132])).
% 73.96/47.15 tff(31144,plain,
% 73.96/47.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31145,plain,
% 73.96/47.15 (((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116))) <=> (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 73.96/47.15 inference(rewrite,[status(thm)],[])).
% 73.96/47.15 tff(31146,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31145])).
% 73.96/47.16 tff(31147,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31146, 31144])).
% 73.96/47.16 tff(31148,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31149,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31148, 31147])).
% 73.96/47.16 tff(31150,plain,
% 73.96/47.16 (v163(constB115) | (~v186(constB116))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31149, 12267, 18855])).
% 73.96/47.16 tff(31151,plain,
% 73.96/47.16 (~v186(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31150, 31143])).
% 73.96/47.16 tff(31152,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31153,plain,
% 73.96/47.16 (((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116)) <=> ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31154,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31153])).
% 73.96/47.16 tff(31155,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31154, 31152])).
% 73.96/47.16 tff(31156,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31157,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 73.96/47.16 tff(31158,plain,
% 73.96/47.16 (v181(constB116) | v104(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31157, 12289, 18855])).
% 73.96/47.16 tff(31159,plain,
% 73.96/47.16 (v181(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31158, 18873])).
% 73.96/47.16 tff(31160,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31161,plain,
% 73.96/47.16 (((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116))) <=> ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31162,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31161])).
% 73.96/47.16 tff(31163,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31162, 31160])).
% 73.96/47.16 tff(31164,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31165,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31164, 31163])).
% 73.96/47.16 tff(31166,plain,
% 73.96/47.16 (v180(constB116) | (~v181(constB116))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31165, 12310, 18855, 18884])).
% 73.96/47.16 tff(31167,plain,
% 73.96/47.16 (v180(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31166, 31159])).
% 73.96/47.16 tff(31168,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31169,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31170,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 73.96/47.16 tff(31171,plain,
% 73.96/47.16 (v179(constB116) | (~v180(constB116))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31170, 12328, 18855])).
% 73.96/47.16 tff(31172,plain,
% 73.96/47.16 (v179(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31171, 31167])).
% 73.96/47.16 tff(31173,plain,
% 73.96/47.16 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB116)) | v186(constB116) | (~v179(constB116)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31174,plain,
% 73.96/47.16 (((~v179(constB116)) | (~v159(constB116)) | v186(constB116)) <=> ((~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31175,plain,
% 73.96/47.16 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB116)) | v186(constB116) | (~v179(constB116))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31174])).
% 73.96/47.16 tff(31176,plain,
% 73.96/47.16 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31175, 31173])).
% 73.96/47.16 tff(31177,plain,
% 73.96/47.16 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31178,plain,
% 73.96/47.16 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 73.96/47.16 tff(31179,plain,
% 73.96/47.16 ((~v159(constB116)) | v186(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31178, 12343, 31172])).
% 73.96/47.16 tff(31180,plain,
% 73.96/47.16 (~v159(constB116)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31179, 31151])).
% 73.96/47.16 tff(31181,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31182,plain,
% 73.96/47.16 (((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117))) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31183,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31182])).
% 73.96/47.16 tff(31184,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31183, 31181])).
% 73.96/47.16 tff(31185,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31186,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 73.96/47.16 tff(31187,plain,
% 73.96/47.16 (~v180(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31186, 12367, 18921, 18918])).
% 73.96/47.16 tff(31188,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31189,plain,
% 73.96/47.16 (((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117)) <=> ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31190,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31189])).
% 73.96/47.16 tff(31191,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31190, 31188])).
% 73.96/47.16 tff(31192,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31193,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31192, 31191])).
% 73.96/47.16 tff(31194,plain,
% 73.96/47.16 (v180(constB117) | (~v179(constB117))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31193, 12384, 18921])).
% 73.96/47.16 tff(31195,plain,
% 73.96/47.16 (~v179(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31194, 31187])).
% 73.96/47.16 tff(31196,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31197,plain,
% 73.96/47.16 (((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117))) <=> (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31198,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31197])).
% 73.96/47.16 tff(31199,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 73.96/47.16 inference(transitivity,[status(thm)],[31198, 31196])).
% 73.96/47.16 tff(31200,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31201,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31200, 31199])).
% 73.96/47.16 tff(31202,plain,
% 73.96/47.16 (v159(constB116) | v179(constB117) | (~v159(constB117))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31201, 12402, 18921])).
% 73.96/47.16 tff(31203,plain,
% 73.96/47.16 (v159(constB116) | (~v159(constB117))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31202, 31195])).
% 73.96/47.16 tff(31204,plain,
% 73.96/47.16 (~v159(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31203, 31180])).
% 73.96/47.16 tff(31205,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31206,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31207,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 73.96/47.16 tff(31208,plain,
% 73.96/47.16 (~v201(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31207, 12418, 31204])).
% 73.96/47.16 tff(31209,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31210,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31211,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 73.96/47.16 tff(31212,plain,
% 73.96/47.16 (~v200(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31211, 4401, 31208])).
% 73.96/47.16 tff(31213,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31214,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31215,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 73.96/47.16 tff(31216,plain,
% 73.96/47.16 (~v198(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31215, 4412, 31212])).
% 73.96/47.16 tff(31217,assumption,(v18(constB118)), introduced(assumption)).
% 73.96/47.16 tff(31218,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31219,plain,
% 73.96/47.16 ($false),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31218, 58, 31217])).
% 73.96/47.16 tff(31220,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.16 tff(31221,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31222,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31223,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 73.96/47.16 tff(31224,plain,
% 73.96/47.16 (v22(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31223, 71, 19247])).
% 73.96/47.16 tff(31225,plain,
% 73.96/47.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31226,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31227,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 73.96/47.16 tff(31228,plain,
% 73.96/47.16 ((~v19(constB118)) | v18(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31227, 85, 31224])).
% 73.96/47.16 tff(31229,plain,
% 73.96/47.16 (~v19(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31228, 31220])).
% 73.96/47.16 tff(31230,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31231,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31232,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 73.96/47.16 tff(31233,plain,
% 73.96/47.16 (v13(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31232, 100, 31229])).
% 73.96/47.16 tff(31234,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31235,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31236,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 73.96/47.16 tff(31237,plain,
% 73.96/47.16 ((~v13(constB118)) | v9(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31236, 117, 19224])).
% 73.96/47.16 tff(31238,plain,
% 73.96/47.16 (v9(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31237, 31233])).
% 73.96/47.16 tff(31239,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31240,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31241,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 73.96/47.16 tff(31242,plain,
% 73.96/47.16 ((~v9(constB117)) | v197(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31241, 4454, 18918])).
% 73.96/47.16 tff(31243,plain,
% 73.96/47.16 (v197(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31242, 31238])).
% 73.96/47.16 tff(31244,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB117) | (~v197(constB117)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB117) | (~v197(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31245,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB117) | (~v197(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31246,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB117) | (~v197(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31245, 31244])).
% 73.96/47.16 tff(31247,plain,
% 73.96/47.16 (v196(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31246, 4466, 31243])).
% 73.96/47.16 tff(31248,plain,
% 73.96/47.16 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB117)) | (~v194(constB117)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB117)) | (~v194(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31249,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB117)) | (~v194(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31250,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB117)) | (~v194(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 73.96/47.16 tff(31251,plain,
% 73.96/47.16 (~v194(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31250, 4477, 31247])).
% 73.96/47.16 tff(31252,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31253,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31254,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 73.96/47.16 tff(31255,plain,
% 73.96/47.16 (v198(constB117) | (~v191(constB117))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31254, 4491, 31251])).
% 73.96/47.16 tff(31256,plain,
% 73.96/47.16 (~v191(constB117)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31255, 31216])).
% 73.96/47.16 tff(31257,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31258,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31259,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31258, 31257])).
% 73.96/47.16 tff(31260,plain,
% 73.96/47.16 (v191(constB117) | (~v193(constB118))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31259, 4506, 19224])).
% 73.96/47.16 tff(31261,plain,
% 73.96/47.16 (~v193(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31260, 31256])).
% 73.96/47.16 tff(31262,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31263,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31264,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31263, 31262])).
% 73.96/47.16 tff(31265,plain,
% 73.96/47.16 (~v194(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31264, 4518, 31261])).
% 73.96/47.16 tff(31266,plain,
% 73.96/47.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31267,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31268,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31267, 31266])).
% 73.96/47.16 tff(31269,plain,
% 73.96/47.16 (~v197(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31268, 4529, 19247])).
% 73.96/47.16 tff(31270,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31271,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31272,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31271, 31270])).
% 73.96/47.16 tff(31273,plain,
% 73.96/47.16 (~v200(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31272, 4540, 31269])).
% 73.96/47.16 tff(31274,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31275,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31276,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31275, 31274])).
% 73.96/47.16 tff(31277,plain,
% 73.96/47.16 (~v198(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31276, 4412, 31273])).
% 73.96/47.16 tff(31278,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31279,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31280,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 73.96/47.16 tff(31281,plain,
% 73.96/47.16 (v194(constB118) | (~v191(constB118))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31280, 4491, 31277])).
% 73.96/47.16 tff(31282,plain,
% 73.96/47.16 (~v191(constB118)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31281, 31265])).
% 73.96/47.16 tff(31283,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31284,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31285,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 73.96/47.16 tff(31286,plain,
% 73.96/47.16 (v191(constB118) | (~v193(constB119))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31285, 4506, 19295])).
% 73.96/47.16 tff(31287,plain,
% 73.96/47.16 (~v193(constB119)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31286, 31282])).
% 73.96/47.16 tff(31288,plain,
% 73.96/47.16 ($false),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31287, 31101])).
% 73.96/47.16 tff(31289,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.16 tff(31290,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.16 tff(31291,plain,
% 73.96/47.16 (v1(constB200) <=> v1(sK0_VarCurr)),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31290])).
% 73.96/47.16 tff(31292,plain,
% 73.96/47.16 (v1(sK0_VarCurr) <=> v1(constB200)),
% 73.96/47.16 inference(symmetry,[status(thm)],[31291])).
% 73.96/47.16 tff(31293,plain,
% 73.96/47.16 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31292])).
% 73.96/47.16 tff(31294,plain,
% 73.96/47.16 (~v1(constB200)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[4604, 31293])).
% 73.96/47.16 tff(31295,plain,
% 73.96/47.16 (v1(constB200) <=> v1(constB200)),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31296,axiom,(v1(constB200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 73.96/47.16 tff(31297,plain,
% 73.96/47.16 (v1(constB200)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 73.96/47.16 tff(31298,plain,
% 73.96/47.16 ($false),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31297, 31294])).
% 73.96/47.16 tff(31299,plain,(~(constB200 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.16 tff(31300,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.16 tff(31301,plain,
% 73.96/47.16 (v1(constB144) <=> v1(sK0_VarCurr)),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31300])).
% 73.96/47.16 tff(31302,plain,
% 73.96/47.16 (v1(sK0_VarCurr) <=> v1(constB144)),
% 73.96/47.16 inference(symmetry,[status(thm)],[31301])).
% 73.96/47.16 tff(31303,plain,
% 73.96/47.16 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31302])).
% 73.96/47.16 tff(31304,plain,
% 73.96/47.16 (~v1(constB144)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[4604, 31303])).
% 73.96/47.16 tff(31305,plain,
% 73.96/47.16 ($false),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[22385, 31304])).
% 73.96/47.16 tff(31306,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.16 tff(31307,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.16 tff(31308,plain,
% 73.96/47.16 (v193(constB167) <=> v193(sK0_VarCurr)),
% 73.96/47.16 inference(monotonicity,[status(thm)],[31307])).
% 73.96/47.16 tff(31309,plain,
% 73.96/47.16 (v193(sK0_VarCurr) <=> v193(constB167)),
% 73.96/47.16 inference(symmetry,[status(thm)],[31308])).
% 73.96/47.16 tff(31310,plain,
% 73.96/47.16 (v193(constB167)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[17, 31309])).
% 73.96/47.16 tff(31311,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB165) | (~v201(constB165)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB165) | (~v201(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31312,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB165) | (~v201(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31313,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB165) | (~v201(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31312, 31311])).
% 73.96/47.16 tff(31314,plain,
% 73.96/47.16 (~v201(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31313, 4390, 25401])).
% 73.96/47.16 tff(31315,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB165) | (~v200(constB165)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB165) | (~v200(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31316,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB165) | (~v200(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31317,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB165) | (~v200(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 73.96/47.16 tff(31318,plain,
% 73.96/47.16 (~v200(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31317, 4401, 31314])).
% 73.96/47.16 tff(31319,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB165) | (~v198(constB165)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB165) | (~v198(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31320,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB165) | (~v198(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31321,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB165) | (~v198(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 73.96/47.16 tff(31322,plain,
% 73.96/47.16 (~v198(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31321, 4412, 31318])).
% 73.96/47.16 tff(31323,assumption,(v18(constB166)), introduced(assumption)).
% 73.96/47.16 tff(31324,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB166))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31325,plain,
% 73.96/47.16 ($false),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31324, 58, 31323])).
% 73.96/47.16 tff(31326,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.16 tff(31327,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31328,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31329,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 73.96/47.16 tff(31330,plain,
% 73.96/47.16 (v22(constB166)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31329, 71, 25003])).
% 73.96/47.16 tff(31331,plain,
% 73.96/47.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31332,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31333,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 73.96/47.16 tff(31334,plain,
% 73.96/47.16 ((~v19(constB166)) | v18(constB166)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31333, 85, 31330])).
% 73.96/47.16 tff(31335,plain,
% 73.96/47.16 (~v19(constB166)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31334, 31326])).
% 73.96/47.16 tff(31336,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31337,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31338,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 73.96/47.16 tff(31339,plain,
% 73.96/47.16 (v13(constB166)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31338, 100, 31335])).
% 73.96/47.16 tff(31340,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31341,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31342,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 73.96/47.16 tff(31343,plain,
% 73.96/47.16 ((~v13(constB166)) | v9(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31342, 117, 24980])).
% 73.96/47.16 tff(31344,plain,
% 73.96/47.16 (v9(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31343, 31339])).
% 73.96/47.16 tff(31345,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v197(constB165))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB165) | (~v9(constB165)) | v197(constB165))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31346,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v197(constB165))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31347,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB165) | (~v9(constB165)) | v197(constB165)),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 73.96/47.16 tff(31348,plain,
% 73.96/47.16 ((~v9(constB165)) | v197(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31347, 4454, 24745])).
% 73.96/47.16 tff(31349,plain,
% 73.96/47.16 (v197(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31348, 31344])).
% 73.96/47.16 tff(31350,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB165) | (~v197(constB165)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB165) | (~v197(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31351,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB165) | (~v197(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31352,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB165) | (~v197(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31351, 31350])).
% 73.96/47.16 tff(31353,plain,
% 73.96/47.16 (v196(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31352, 4466, 31349])).
% 73.96/47.16 tff(31354,plain,
% 73.96/47.16 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB165)) | (~v194(constB165)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB165)) | (~v194(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31355,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB165)) | (~v194(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31356,plain,
% 73.96/47.16 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB165)) | (~v194(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31355, 31354])).
% 73.96/47.16 tff(31357,plain,
% 73.96/47.16 (~v194(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31356, 4477, 31353])).
% 73.96/47.16 tff(31358,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB165) | v198(constB165) | (~v191(constB165)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB165) | v198(constB165) | (~v191(constB165)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31359,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB165) | v198(constB165) | (~v191(constB165)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31360,plain,
% 73.96/47.16 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB165) | v198(constB165) | (~v191(constB165))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31359, 31358])).
% 73.96/47.16 tff(31361,plain,
% 73.96/47.16 (v198(constB165) | (~v191(constB165))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31360, 4491, 31357])).
% 73.96/47.16 tff(31362,plain,
% 73.96/47.16 (~v191(constB165)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31361, 31322])).
% 73.96/47.16 tff(31363,plain,
% 73.96/47.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))),
% 73.96/47.16 inference(rewrite,[status(thm)],[])).
% 73.96/47.16 tff(31364,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))),
% 73.96/47.16 inference(quant_inst,[status(thm)],[])).
% 73.96/47.16 tff(31365,plain,
% 73.96/47.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166))),
% 73.96/47.16 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 73.96/47.16 tff(31366,plain,
% 73.96/47.16 (v191(constB165) | (~v193(constB166))),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31365, 4506, 24980])).
% 73.96/47.16 tff(31367,plain,
% 73.96/47.16 (~v193(constB166)),
% 73.96/47.16 inference(unit_resolution,[status(thm)],[31366, 31362])).
% 73.96/47.16 tff(31368,plain,
% 73.96/47.16 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB166) | (~v194(constB166)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB166) | (~v194(constB166)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31369,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB166) | (~v194(constB166)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31370,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB166) | (~v194(constB166))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 73.96/47.17 tff(31371,plain,
% 73.96/47.17 (~v194(constB166)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31370, 4518, 31367])).
% 73.96/47.17 tff(31372,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB166)) | (~v197(constB166)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB166)) | (~v197(constB166)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31373,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB166)) | (~v197(constB166)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31374,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB166)) | (~v197(constB166))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31373, 31372])).
% 73.96/47.17 tff(31375,plain,
% 73.96/47.17 (~v197(constB166)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31374, 4529, 25003])).
% 73.96/47.17 tff(31376,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB166) | (~v200(constB166)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB166) | (~v200(constB166)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31377,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB166) | (~v200(constB166)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31378,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB166) | (~v200(constB166))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 73.96/47.17 tff(31379,plain,
% 73.96/47.17 (~v200(constB166)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31378, 4540, 31375])).
% 73.96/47.17 tff(31380,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB166) | (~v198(constB166)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB166) | (~v198(constB166)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31381,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB166) | (~v198(constB166)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31382,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB166) | (~v198(constB166))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 73.96/47.17 tff(31383,plain,
% 73.96/47.17 (~v198(constB166)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31382, 4412, 31379])).
% 73.96/47.17 tff(31384,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB166) | v198(constB166) | (~v191(constB166)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB166) | v198(constB166) | (~v191(constB166)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31385,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB166) | v198(constB166) | (~v191(constB166)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31386,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB166) | v198(constB166) | (~v191(constB166))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 73.96/47.17 tff(31387,plain,
% 73.96/47.17 (v194(constB166) | (~v191(constB166))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31386, 4491, 31383])).
% 73.96/47.17 tff(31388,plain,
% 73.96/47.17 (~v191(constB166)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31387, 31371])).
% 73.96/47.17 tff(31389,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31390,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31391,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31390, 31389])).
% 73.96/47.17 tff(31392,plain,
% 73.96/47.17 (v191(constB166) | (~v193(constB167))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31391, 4506, 25079])).
% 73.96/47.17 tff(31393,plain,
% 73.96/47.17 (~v193(constB167)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31392, 31388])).
% 73.96/47.17 tff(31394,plain,
% 73.96/47.17 ($false),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31393, 31310])).
% 73.96/47.17 tff(31395,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.17 tff(31396,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.17 tff(31397,plain,
% 73.96/47.17 (v193(constB69) <=> v193(sK0_VarCurr)),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31396])).
% 73.96/47.17 tff(31398,plain,
% 73.96/47.17 (v193(sK0_VarCurr) <=> v193(constB69)),
% 73.96/47.17 inference(symmetry,[status(thm)],[31397])).
% 73.96/47.17 tff(31399,plain,
% 73.96/47.17 (v193(constB69)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[17, 31398])).
% 73.96/47.17 tff(31400,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31401,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31402,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 73.96/47.17 tff(31403,plain,
% 73.96/47.17 (~v88(constB65, bitIndex0)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31402, 4274, 10295])).
% 73.96/47.17 tff(31404,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31405,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31406,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 73.96/47.17 tff(31407,plain,
% 73.96/47.17 (v88(constB65, bitIndex2)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31406, 4229, 10230])).
% 73.96/47.17 tff(31408,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31409,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31410,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31409, 31408])).
% 73.96/47.17 tff(31411,plain,
% 73.96/47.17 (v88(constB65, bitIndex1)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31410, 4297, 10261])).
% 73.96/47.17 tff(31412,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31413,plain,
% 73.96/47.17 (((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65)) <=> (v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31414,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65)))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31413])).
% 73.96/47.17 tff(31415,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31414, 31412])).
% 73.96/47.17 tff(31416,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31417,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v144(constB65)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31416, 31415])).
% 73.96/47.17 tff(31418,plain,
% 73.96/47.17 (v144(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31417, 4311, 31411, 31407, 31403])).
% 73.96/47.17 tff(31419,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB65) | (~v144(constB65)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB65) | (~v144(constB65)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31420,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB65) | (~v144(constB65)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31421,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB65) | (~v144(constB65))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31420, 31419])).
% 73.96/47.17 tff(31422,plain,
% 73.96/47.17 (v142(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31421, 4326, 31418])).
% 73.96/47.17 tff(31423,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB65) | (~v142(constB65)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31424,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB65) | (~v142(constB65)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31425,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB65) | (~v142(constB65))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31424, 31423])).
% 73.96/47.17 tff(31426,plain,
% 73.96/47.17 (v167(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31425, 4337, 31422])).
% 73.96/47.17 tff(31427,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31428,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31429,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 73.96/47.17 tff(31430,plain,
% 73.96/47.17 (~v170(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31429, 4351, 31426])).
% 73.96/47.17 tff(31431,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31432,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31433,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 73.96/47.17 tff(31434,plain,
% 73.96/47.17 (v166(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31433, 4362, 31426])).
% 73.96/47.17 tff(31435,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31436,plain,
% 73.96/47.17 (((~v166(constB65)) | v170(constB65) | (~v163(constB65))) <=> ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31437,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65)))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31436])).
% 73.96/47.17 tff(31438,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31437, 31435])).
% 73.96/47.17 tff(31439,plain,
% 73.96/47.17 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31440,plain,
% 73.96/47.17 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31439, 31438])).
% 73.96/47.17 tff(31441,plain,
% 73.96/47.17 (~v163(constB65)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31440, 4376, 31434, 31430])).
% 73.96/47.17 tff(31442,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31443,plain,
% 73.96/47.17 (((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66))) <=> (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31444,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31443])).
% 73.96/47.17 tff(31445,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31444, 31442])).
% 73.96/47.17 tff(31446,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31447,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31446, 31445])).
% 73.96/47.17 tff(31448,plain,
% 73.96/47.17 (v163(constB65) | (~v186(constB66))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31447, 12267, 10322])).
% 73.96/47.17 tff(31449,plain,
% 73.96/47.17 (~v186(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31448, 31441])).
% 73.96/47.17 tff(31450,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31451,plain,
% 73.96/47.17 (((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66)) <=> ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31452,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31451])).
% 73.96/47.17 tff(31453,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31452, 31450])).
% 73.96/47.17 tff(31454,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31455,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31454, 31453])).
% 73.96/47.17 tff(31456,plain,
% 73.96/47.17 (v181(constB66) | v104(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31455, 12289, 10322])).
% 73.96/47.17 tff(31457,plain,
% 73.96/47.17 (v181(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31456, 10334])).
% 73.96/47.17 tff(31458,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31459,plain,
% 73.96/47.17 (((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66))) <=> ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31460,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31459])).
% 73.96/47.17 tff(31461,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31460, 31458])).
% 73.96/47.17 tff(31462,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31463,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31462, 31461])).
% 73.96/47.17 tff(31464,plain,
% 73.96/47.17 (v180(constB66) | (~v181(constB66))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31463, 12310, 10322, 10345])).
% 73.96/47.17 tff(31465,plain,
% 73.96/47.17 (v180(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31464, 31457])).
% 73.96/47.17 tff(31466,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31467,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31468,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31467, 31466])).
% 73.96/47.17 tff(31469,plain,
% 73.96/47.17 (v179(constB66) | (~v180(constB66))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31468, 12328, 10322])).
% 73.96/47.17 tff(31470,plain,
% 73.96/47.17 (v179(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31469, 31465])).
% 73.96/47.17 tff(31471,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB66)) | v186(constB66) | (~v179(constB66)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31472,plain,
% 73.96/47.17 (((~v179(constB66)) | (~v159(constB66)) | v186(constB66)) <=> ((~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31473,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB66)) | v186(constB66) | (~v179(constB66))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31472])).
% 73.96/47.17 tff(31474,plain,
% 73.96/47.17 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31473, 31471])).
% 73.96/47.17 tff(31475,plain,
% 73.96/47.17 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31476,plain,
% 73.96/47.17 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31475, 31474])).
% 73.96/47.17 tff(31477,plain,
% 73.96/47.17 ((~v159(constB66)) | v186(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31476, 12343, 31470])).
% 73.96/47.17 tff(31478,plain,
% 73.96/47.17 (~v159(constB66)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31477, 31449])).
% 73.96/47.17 tff(31479,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31480,plain,
% 73.96/47.17 (((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67))) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31481,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31480])).
% 73.96/47.17 tff(31482,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31481, 31479])).
% 73.96/47.17 tff(31483,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31484,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31483, 31482])).
% 73.96/47.17 tff(31485,plain,
% 73.96/47.17 (~v180(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31484, 12367, 10420, 10417])).
% 73.96/47.17 tff(31486,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31487,plain,
% 73.96/47.17 (((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67)) <=> ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31488,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31487])).
% 73.96/47.17 tff(31489,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31488, 31486])).
% 73.96/47.17 tff(31490,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31491,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 73.96/47.17 tff(31492,plain,
% 73.96/47.17 (v180(constB67) | (~v179(constB67))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31491, 12384, 10420])).
% 73.96/47.17 tff(31493,plain,
% 73.96/47.17 (~v179(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31492, 31485])).
% 73.96/47.17 tff(31494,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31495,plain,
% 73.96/47.17 (((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67))) <=> (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31496,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))))),
% 73.96/47.17 inference(monotonicity,[status(thm)],[31495])).
% 73.96/47.17 tff(31497,plain,
% 73.96/47.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 73.96/47.17 inference(transitivity,[status(thm)],[31496, 31494])).
% 73.96/47.17 tff(31498,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31499,plain,
% 73.96/47.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 73.96/47.17 tff(31500,plain,
% 73.96/47.17 (v159(constB66) | v179(constB67) | (~v159(constB67))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31499, 12402, 10420])).
% 73.96/47.17 tff(31501,plain,
% 73.96/47.17 (v159(constB66) | (~v159(constB67))),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31500, 31493])).
% 73.96/47.17 tff(31502,plain,
% 73.96/47.17 (~v159(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31501, 31478])).
% 73.96/47.17 tff(31503,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31504,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31505,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31504, 31503])).
% 73.96/47.17 tff(31506,plain,
% 73.96/47.17 (~v201(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31505, 12418, 31502])).
% 73.96/47.17 tff(31507,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31508,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31509,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 73.96/47.17 tff(31510,plain,
% 73.96/47.17 (~v200(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31509, 4401, 31506])).
% 73.96/47.17 tff(31511,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31512,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31513,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 73.96/47.17 tff(31514,plain,
% 73.96/47.17 (~v198(constB67)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31513, 4412, 31510])).
% 73.96/47.17 tff(31515,assumption,(v18(constB68)), introduced(assumption)).
% 73.96/47.17 tff(31516,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB68))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31517,plain,
% 73.96/47.17 ($false),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31516, 58, 31515])).
% 73.96/47.17 tff(31518,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.17 tff(31519,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31520,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31521,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31520, 31519])).
% 73.96/47.17 tff(31522,plain,
% 73.96/47.17 (v22(constB68)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31521, 71, 11863])).
% 73.96/47.17 tff(31523,plain,
% 73.96/47.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31524,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31525,plain,
% 73.96/47.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68)),
% 73.96/47.17 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 73.96/47.17 tff(31526,plain,
% 73.96/47.17 ((~v19(constB68)) | v18(constB68)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31525, 85, 31522])).
% 73.96/47.17 tff(31527,plain,
% 73.96/47.17 (~v19(constB68)),
% 73.96/47.17 inference(unit_resolution,[status(thm)],[31526, 31518])).
% 73.96/47.17 tff(31528,plain,
% 73.96/47.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 73.96/47.17 inference(rewrite,[status(thm)],[])).
% 73.96/47.17 tff(31529,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 73.96/47.17 inference(quant_inst,[status(thm)],[])).
% 73.96/47.17 tff(31530,plain,
% 73.96/47.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31529, 31528])).
% 73.96/47.18 tff(31531,plain,
% 73.96/47.18 (v13(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31530, 100, 31527])).
% 73.96/47.18 tff(31532,plain,
% 73.96/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31533,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31534,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 73.96/47.18 tff(31535,plain,
% 73.96/47.18 ((~v13(constB68)) | v9(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31534, 117, 10551])).
% 73.96/47.18 tff(31536,plain,
% 73.96/47.18 (v9(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31535, 31531])).
% 73.96/47.18 tff(31537,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31538,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31539,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31538, 31537])).
% 73.96/47.18 tff(31540,plain,
% 73.96/47.18 ((~v9(constB67)) | v197(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31539, 4454, 10417])).
% 73.96/47.18 tff(31541,plain,
% 73.96/47.18 (v197(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31540, 31536])).
% 73.96/47.18 tff(31542,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB67) | (~v197(constB67)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB67) | (~v197(constB67)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31543,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB67) | (~v197(constB67)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31544,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB67) | (~v197(constB67))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31543, 31542])).
% 73.96/47.18 tff(31545,plain,
% 73.96/47.18 (v196(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31544, 4466, 31541])).
% 73.96/47.18 tff(31546,plain,
% 73.96/47.18 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31547,plain,
% 73.96/47.18 (((~v196(constB67)) | (~v194(constB67))) <=> ((~v194(constB67)) | (~v196(constB67)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31548,plain,
% 73.96/47.18 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67))))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31547])).
% 73.96/47.18 tff(31549,plain,
% 73.96/47.18 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67)))),
% 73.96/47.18 inference(transitivity,[status(thm)],[31548, 31546])).
% 73.96/47.18 tff(31550,plain,
% 73.96/47.18 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31551,plain,
% 73.96/47.18 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31550, 31549])).
% 73.96/47.18 tff(31552,plain,
% 73.96/47.18 (~v194(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31551, 4477, 31545])).
% 73.96/47.18 tff(31553,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31554,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31555,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31554, 31553])).
% 73.96/47.18 tff(31556,plain,
% 73.96/47.18 (v198(constB67) | (~v191(constB67))),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31555, 4491, 31552])).
% 73.96/47.18 tff(31557,plain,
% 73.96/47.18 (~v191(constB67)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31556, 31514])).
% 73.96/47.18 tff(31558,plain,
% 73.96/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31559,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31560,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31559, 31558])).
% 73.96/47.18 tff(31561,plain,
% 73.96/47.18 (v191(constB67) | (~v193(constB68))),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31560, 4506, 10551])).
% 73.96/47.18 tff(31562,plain,
% 73.96/47.18 (~v193(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31561, 31557])).
% 73.96/47.18 tff(31563,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31564,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31565,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 73.96/47.18 tff(31566,plain,
% 73.96/47.18 (~v194(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31565, 4518, 31562])).
% 73.96/47.18 tff(31567,plain,
% 73.96/47.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31568,plain,
% 73.96/47.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31569,plain,
% 73.96/47.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 73.96/47.18 tff(31570,plain,
% 73.96/47.18 (~v197(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31569, 4529, 11863])).
% 73.96/47.18 tff(31571,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31572,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31573,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 73.96/47.18 tff(31574,plain,
% 73.96/47.18 (~v200(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31573, 4540, 31570])).
% 73.96/47.18 tff(31575,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31576,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31577,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 73.96/47.18 tff(31578,plain,
% 73.96/47.18 (~v198(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31577, 4412, 31574])).
% 73.96/47.18 tff(31579,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31580,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31581,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31580, 31579])).
% 73.96/47.18 tff(31582,plain,
% 73.96/47.18 (v194(constB68) | (~v191(constB68))),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31581, 4491, 31578])).
% 73.96/47.18 tff(31583,plain,
% 73.96/47.18 (~v191(constB68)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31582, 31566])).
% 73.96/47.18 tff(31584,plain,
% 73.96/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31585,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31586,plain,
% 73.96/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31585, 31584])).
% 73.96/47.18 tff(31587,plain,
% 73.96/47.18 (v191(constB68) | (~v193(constB69))),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31586, 4506, 11894])).
% 73.96/47.18 tff(31588,plain,
% 73.96/47.18 (~v193(constB69)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31587, 31583])).
% 73.96/47.18 tff(31589,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31588, 31399])).
% 73.96/47.18 tff(31590,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31591,assumption,(constB108 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31592,plain,
% 73.96/47.18 (v1(constB108) <=> v1(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31591])).
% 73.96/47.18 tff(31593,plain,
% 73.96/47.18 (v1(sK0_VarCurr) <=> v1(constB108)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31592])).
% 73.96/47.18 tff(31594,plain,
% 73.96/47.18 ((~v1(sK0_VarCurr)) <=> (~v1(constB108))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31593])).
% 73.96/47.18 tff(31595,plain,
% 73.96/47.18 (~v1(constB108)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[4604, 31594])).
% 73.96/47.18 tff(31596,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[18067, 31595])).
% 73.96/47.18 tff(31597,plain,(~(constB108 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31598,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31599,plain,
% 73.96/47.18 (v1(constB140) <=> v1(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31598])).
% 73.96/47.18 tff(31600,plain,
% 73.96/47.18 (v1(sK0_VarCurr) <=> v1(constB140)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31599])).
% 73.96/47.18 tff(31601,plain,
% 73.96/47.18 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31600])).
% 73.96/47.18 tff(31602,plain,
% 73.96/47.18 (~v1(constB140)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[4604, 31601])).
% 73.96/47.18 tff(31603,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[22000, 31602])).
% 73.96/47.18 tff(31604,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31605,assumption,(constB112 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31606,plain,
% 73.96/47.18 (v1(constB112) <=> v1(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31605])).
% 73.96/47.18 tff(31607,plain,
% 73.96/47.18 (v1(sK0_VarCurr) <=> v1(constB112)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31606])).
% 73.96/47.18 tff(31608,plain,
% 73.96/47.18 ((~v1(sK0_VarCurr)) <=> (~v1(constB112))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31607])).
% 73.96/47.18 tff(31609,plain,
% 73.96/47.18 (~v1(constB112)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[4604, 31608])).
% 73.96/47.18 tff(31610,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[18462, 31609])).
% 73.96/47.18 tff(31611,plain,(~(constB112 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31612,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31613,plain,
% 73.96/47.18 (v1(constB152) <=> v1(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31612])).
% 73.96/47.18 tff(31614,plain,
% 73.96/47.18 (v1(sK0_VarCurr) <=> v1(constB152)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31613])).
% 73.96/47.18 tff(31615,plain,
% 73.96/47.18 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31614])).
% 73.96/47.18 tff(31616,plain,
% 73.96/47.18 (~v1(constB152)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[4604, 31615])).
% 73.96/47.18 tff(31617,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[23235, 31616])).
% 73.96/47.18 tff(31618,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31619,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31620,plain,
% 73.96/47.18 (v1(constB128) <=> v1(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31619])).
% 73.96/47.18 tff(31621,plain,
% 73.96/47.18 (v1(sK0_VarCurr) <=> v1(constB128)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31620])).
% 73.96/47.18 tff(31622,plain,
% 73.96/47.18 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31621])).
% 73.96/47.18 tff(31623,plain,
% 73.96/47.18 (~v1(constB128)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[4604, 31622])).
% 73.96/47.18 tff(31624,plain,
% 73.96/47.18 ($false),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[20576, 31623])).
% 73.96/47.18 tff(31625,plain,(~(constB128 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.96/47.18 tff(31626,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 73.96/47.18 tff(31627,plain,
% 73.96/47.18 (v193(constB67) <=> v193(sK0_VarCurr)),
% 73.96/47.18 inference(monotonicity,[status(thm)],[31626])).
% 73.96/47.18 tff(31628,plain,
% 73.96/47.18 (v193(sK0_VarCurr) <=> v193(constB67)),
% 73.96/47.18 inference(symmetry,[status(thm)],[31627])).
% 73.96/47.18 tff(31629,plain,
% 73.96/47.18 (v193(constB67)),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[17, 31628])).
% 73.96/47.18 tff(31630,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB65) | (~v201(constB65)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB65) | (~v201(constB65)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 73.96/47.18 tff(31631,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB65) | (~v201(constB65)))),
% 73.96/47.18 inference(quant_inst,[status(thm)],[])).
% 73.96/47.18 tff(31632,plain,
% 73.96/47.18 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB65) | (~v201(constB65))),
% 73.96/47.18 inference(modus_ponens,[status(thm)],[31631, 31630])).
% 73.96/47.18 tff(31633,plain,
% 73.96/47.18 (~v201(constB65)),
% 73.96/47.18 inference(unit_resolution,[status(thm)],[31632, 4390, 31441])).
% 73.96/47.18 tff(31634,plain,
% 73.96/47.18 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65)))),
% 73.96/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31635,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31636,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31635, 31634])).
% 74.03/47.18 tff(31637,plain,
% 74.03/47.18 (~v200(constB65)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31636, 4401, 31633])).
% 74.03/47.18 tff(31638,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31639,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31640,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31639, 31638])).
% 74.03/47.18 tff(31641,plain,
% 74.03/47.18 (~v198(constB65)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31640, 4412, 31637])).
% 74.03/47.18 tff(31642,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31643,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31644,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31643, 31642])).
% 74.03/47.18 tff(31645,plain,
% 74.03/47.18 (~v88(constB61, bitIndex2)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31644, 12119, 9855])).
% 74.03/47.18 tff(31646,plain,
% 74.03/47.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31647,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31648,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 74.03/47.18 tff(31649,plain,
% 74.03/47.18 (v88(constB61, bitIndex1)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31648, 4297, 9886])).
% 74.03/47.18 tff(31650,plain,
% 74.03/47.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31651,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31652,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0)),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 74.03/47.18 tff(31653,plain,
% 74.03/47.18 (v88(constB61, bitIndex0)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31652, 12199, 9917])).
% 74.03/47.18 tff(31654,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31655,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31656,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61)),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31655, 31654])).
% 74.03/47.18 tff(31657,plain,
% 74.03/47.18 (v141(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31656, 12213, 31653, 31649, 31645])).
% 74.03/47.18 tff(31658,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB61) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB61) | (~v141(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31659,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB61) | (~v141(constB61)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31660,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB61) | (~v141(constB61))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 74.03/47.18 tff(31661,plain,
% 74.03/47.18 (v168(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31660, 12224, 31657])).
% 74.03/47.18 tff(31662,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB61) | (~v168(constB61)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB61) | (~v168(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31663,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB61) | (~v168(constB61)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31664,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB61) | (~v168(constB61))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 74.03/47.18 tff(31665,plain,
% 74.03/47.18 (v167(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31664, 12235, 31661])).
% 74.03/47.18 tff(31666,plain,
% 74.03/47.18 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31667,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31668,plain,
% 74.03/47.18 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 74.03/47.18 tff(31669,plain,
% 74.03/47.18 (~v170(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31668, 4351, 31665])).
% 74.03/47.18 tff(31670,plain,
% 74.03/47.18 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31671,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31672,plain,
% 74.03/47.18 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31671, 31670])).
% 74.03/47.18 tff(31673,plain,
% 74.03/47.18 (v166(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31672, 4362, 31665])).
% 74.03/47.18 tff(31674,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31675,plain,
% 74.03/47.18 (((~v166(constB61)) | v170(constB61) | (~v163(constB61))) <=> ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31676,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31675])).
% 74.03/47.18 tff(31677,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31676, 31674])).
% 74.03/47.18 tff(31678,plain,
% 74.03/47.18 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31679,plain,
% 74.03/47.18 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 74.03/47.18 tff(31680,plain,
% 74.03/47.18 (~v163(constB61)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31679, 4376, 31673, 31669])).
% 74.03/47.18 tff(31681,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31682,plain,
% 74.03/47.18 (((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62))) <=> (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31683,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31682])).
% 74.03/47.18 tff(31684,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31683, 31681])).
% 74.03/47.18 tff(31685,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31686,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31685, 31684])).
% 74.03/47.18 tff(31687,plain,
% 74.03/47.18 (v163(constB61) | (~v186(constB62))),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31686, 12267, 9956])).
% 74.03/47.18 tff(31688,plain,
% 74.03/47.18 (~v186(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31687, 31680])).
% 74.03/47.18 tff(31689,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31690,plain,
% 74.03/47.18 (((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62)) <=> ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31691,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31690])).
% 74.03/47.18 tff(31692,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31691, 31689])).
% 74.03/47.18 tff(31693,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31694,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 74.03/47.18 tff(31695,plain,
% 74.03/47.18 (v181(constB62) | v104(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31694, 12289, 9956])).
% 74.03/47.18 tff(31696,plain,
% 74.03/47.18 (v181(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31695, 9968])).
% 74.03/47.18 tff(31697,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31698,plain,
% 74.03/47.18 (((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62))) <=> ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31699,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31698])).
% 74.03/47.18 tff(31700,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31699, 31697])).
% 74.03/47.18 tff(31701,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31702,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31701, 31700])).
% 74.03/47.18 tff(31703,plain,
% 74.03/47.18 (v180(constB62) | (~v181(constB62))),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31702, 12310, 9956, 9979])).
% 74.03/47.18 tff(31704,plain,
% 74.03/47.18 (v180(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31703, 31696])).
% 74.03/47.18 tff(31705,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31706,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31707,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 74.03/47.18 tff(31708,plain,
% 74.03/47.18 (v179(constB62) | (~v180(constB62))),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31707, 12328, 9956])).
% 74.03/47.18 tff(31709,plain,
% 74.03/47.18 (v179(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31708, 31704])).
% 74.03/47.18 tff(31710,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB62)) | v186(constB62) | (~v179(constB62)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31711,plain,
% 74.03/47.18 (((~v179(constB62)) | (~v159(constB62)) | v186(constB62)) <=> ((~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31712,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB62)) | v186(constB62) | (~v179(constB62))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31711])).
% 74.03/47.18 tff(31713,plain,
% 74.03/47.18 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31712, 31710])).
% 74.03/47.18 tff(31714,plain,
% 74.03/47.18 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31715,plain,
% 74.03/47.18 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31714, 31713])).
% 74.03/47.18 tff(31716,plain,
% 74.03/47.18 ((~v159(constB62)) | v186(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31715, 12343, 31709])).
% 74.03/47.18 tff(31717,plain,
% 74.03/47.18 (~v159(constB62)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31716, 31688])).
% 74.03/47.18 tff(31718,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31719,plain,
% 74.03/47.18 (((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63))) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31720,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31719])).
% 74.03/47.18 tff(31721,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31720, 31718])).
% 74.03/47.18 tff(31722,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31723,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 74.03/47.18 tff(31724,plain,
% 74.03/47.18 (~v180(constB63)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31723, 12367, 10024, 10021])).
% 74.03/47.18 tff(31725,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31726,plain,
% 74.03/47.18 (((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63)) <=> ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31727,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63))))),
% 74.03/47.18 inference(monotonicity,[status(thm)],[31726])).
% 74.03/47.18 tff(31728,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 74.03/47.18 inference(transitivity,[status(thm)],[31727, 31725])).
% 74.03/47.18 tff(31729,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))),
% 74.03/47.18 inference(quant_inst,[status(thm)],[])).
% 74.03/47.18 tff(31730,plain,
% 74.03/47.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63))),
% 74.03/47.18 inference(modus_ponens,[status(thm)],[31729, 31728])).
% 74.03/47.18 tff(31731,plain,
% 74.03/47.18 (v180(constB63) | (~v179(constB63))),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31730, 12384, 10024])).
% 74.03/47.18 tff(31732,plain,
% 74.03/47.18 (~v179(constB63)),
% 74.03/47.18 inference(unit_resolution,[status(thm)],[31731, 31724])).
% 74.03/47.18 tff(31733,plain,
% 74.03/47.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 74.03/47.18 inference(rewrite,[status(thm)],[])).
% 74.03/47.18 tff(31734,plain,
% 74.03/47.18 (((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63))) <=> (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31735,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))))),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31734])).
% 74.03/47.19 tff(31736,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 74.03/47.19 inference(transitivity,[status(thm)],[31735, 31733])).
% 74.03/47.19 tff(31737,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31738,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 74.03/47.19 tff(31739,plain,
% 74.03/47.19 (v159(constB62) | v179(constB63) | (~v159(constB63))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31738, 12402, 10024])).
% 74.03/47.19 tff(31740,plain,
% 74.03/47.19 (v159(constB62) | (~v159(constB63))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31739, 31732])).
% 74.03/47.19 tff(31741,plain,
% 74.03/47.19 (~v159(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31740, 31717])).
% 74.03/47.19 tff(31742,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31743,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31744,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 74.03/47.19 tff(31745,plain,
% 74.03/47.19 (~v201(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31744, 12418, 31741])).
% 74.03/47.19 tff(31746,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31747,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31748,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 74.03/47.19 tff(31749,plain,
% 74.03/47.19 (~v200(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31748, 4401, 31745])).
% 74.03/47.19 tff(31750,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31751,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31752,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31751, 31750])).
% 74.03/47.19 tff(31753,plain,
% 74.03/47.19 (~v198(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31752, 4412, 31749])).
% 74.03/47.19 tff(31754,assumption,(v18(constB64)), introduced(assumption)).
% 74.03/47.19 tff(31755,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31756,plain,
% 74.03/47.19 ($false),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31755, 58, 31754])).
% 74.03/47.19 tff(31757,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.19 tff(31758,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31759,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31760,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 74.03/47.19 tff(31761,plain,
% 74.03/47.19 (v22(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31760, 71, 10164])).
% 74.03/47.19 tff(31762,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31763,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31764,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 74.03/47.19 tff(31765,plain,
% 74.03/47.19 ((~v19(constB64)) | v18(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31764, 85, 31761])).
% 74.03/47.19 tff(31766,plain,
% 74.03/47.19 (~v19(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31765, 31757])).
% 74.03/47.19 tff(31767,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31768,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31769,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31768, 31767])).
% 74.03/47.19 tff(31770,plain,
% 74.03/47.19 (v13(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31769, 100, 31766])).
% 74.03/47.19 tff(31771,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31772,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31773,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31772, 31771])).
% 74.03/47.19 tff(31774,plain,
% 74.03/47.19 ((~v13(constB64)) | v9(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31773, 117, 10141])).
% 74.03/47.19 tff(31775,plain,
% 74.03/47.19 (v9(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31774, 31770])).
% 74.03/47.19 tff(31776,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31777,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31778,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 74.03/47.19 tff(31779,plain,
% 74.03/47.19 ((~v9(constB63)) | v197(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31778, 4454, 10021])).
% 74.03/47.19 tff(31780,plain,
% 74.03/47.19 (v197(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31779, 31775])).
% 74.03/47.19 tff(31781,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB63) | (~v197(constB63)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB63) | (~v197(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31782,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB63) | (~v197(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31783,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB63) | (~v197(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31782, 31781])).
% 74.03/47.19 tff(31784,plain,
% 74.03/47.19 (v196(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31783, 4466, 31780])).
% 74.03/47.19 tff(31785,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31786,plain,
% 74.03/47.19 (((~v196(constB63)) | (~v194(constB63))) <=> ((~v194(constB63)) | (~v196(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31787,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63))))),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31786])).
% 74.03/47.19 tff(31788,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63)))),
% 74.03/47.19 inference(transitivity,[status(thm)],[31787, 31785])).
% 74.03/47.19 tff(31789,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31790,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 74.03/47.19 tff(31791,plain,
% 74.03/47.19 (~v194(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31790, 4477, 31784])).
% 74.03/47.19 tff(31792,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31793,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31794,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 74.03/47.19 tff(31795,plain,
% 74.03/47.19 (v198(constB63) | (~v191(constB63))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31794, 4491, 31791])).
% 74.03/47.19 tff(31796,plain,
% 74.03/47.19 (~v191(constB63)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31795, 31753])).
% 74.03/47.19 tff(31797,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31798,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31799,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 74.03/47.19 tff(31800,plain,
% 74.03/47.19 (v191(constB63) | (~v193(constB64))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31799, 4506, 10141])).
% 74.03/47.19 tff(31801,plain,
% 74.03/47.19 (~v193(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31800, 31796])).
% 74.03/47.19 tff(31802,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31803,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31804,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 74.03/47.19 tff(31805,plain,
% 74.03/47.19 (~v194(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31804, 4518, 31801])).
% 74.03/47.19 tff(31806,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31807,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31808,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31807, 31806])).
% 74.03/47.19 tff(31809,plain,
% 74.03/47.19 (~v197(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31808, 4529, 10164])).
% 74.03/47.19 tff(31810,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31811,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31812,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 74.03/47.19 tff(31813,plain,
% 74.03/47.19 (~v200(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31812, 4540, 31809])).
% 74.03/47.19 tff(31814,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31815,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31816,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 74.03/47.19 tff(31817,plain,
% 74.03/47.19 (~v198(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31816, 4412, 31813])).
% 74.03/47.19 tff(31818,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31819,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31820,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31819, 31818])).
% 74.03/47.19 tff(31821,plain,
% 74.03/47.19 (v194(constB64) | (~v191(constB64))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31820, 4491, 31817])).
% 74.03/47.19 tff(31822,plain,
% 74.03/47.19 (~v191(constB64)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31821, 31805])).
% 74.03/47.19 tff(31823,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31824,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31825,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 74.03/47.19 tff(31826,plain,
% 74.03/47.19 (v191(constB64) | (~v193(constB65))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31825, 4506, 10209])).
% 74.03/47.19 tff(31827,plain,
% 74.03/47.19 (~v193(constB65)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31826, 31822])).
% 74.03/47.19 tff(31828,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31829,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31830,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 74.03/47.19 tff(31831,plain,
% 74.03/47.19 (~v194(constB65)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31830, 4518, 31827])).
% 74.03/47.19 tff(31832,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31833,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31834,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 74.03/47.19 tff(31835,plain,
% 74.03/47.19 (v198(constB65) | (~v191(constB65))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31834, 4491, 31831])).
% 74.03/47.19 tff(31836,plain,
% 74.03/47.19 (~v191(constB65)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31835, 31641])).
% 74.03/47.19 tff(31837,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31838,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31839,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 74.03/47.19 tff(31840,plain,
% 74.03/47.19 (v191(constB65) | (~v193(constB66))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31839, 4506, 10322])).
% 74.03/47.19 tff(31841,plain,
% 74.03/47.19 (~v193(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31840, 31836])).
% 74.03/47.19 tff(31842,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31843,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31844,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 74.03/47.19 tff(31845,plain,
% 74.03/47.19 (~v194(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31844, 4518, 31841])).
% 74.03/47.19 tff(31846,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31847,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31848,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31847, 31846])).
% 74.03/47.19 tff(31849,plain,
% 74.03/47.19 (~v197(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31848, 4529, 10345])).
% 74.03/47.19 tff(31850,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31851,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31852,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31851, 31850])).
% 74.03/47.19 tff(31853,plain,
% 74.03/47.19 (~v200(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31852, 4540, 31849])).
% 74.03/47.19 tff(31854,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31855,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31856,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 74.03/47.19 tff(31857,plain,
% 74.03/47.19 (~v198(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31856, 4412, 31853])).
% 74.03/47.19 tff(31858,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31859,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31860,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 74.03/47.19 tff(31861,plain,
% 74.03/47.19 (v194(constB66) | (~v191(constB66))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31860, 4491, 31857])).
% 74.03/47.19 tff(31862,plain,
% 74.03/47.19 (~v191(constB66)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31861, 31845])).
% 74.03/47.19 tff(31863,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31864,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31865,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 74.03/47.19 tff(31866,plain,
% 74.03/47.19 (v191(constB66) | (~v193(constB67))),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31865, 4506, 10420])).
% 74.03/47.19 tff(31867,plain,
% 74.03/47.19 (~v193(constB67)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31866, 31862])).
% 74.03/47.19 tff(31868,plain,
% 74.03/47.19 ($false),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31867, 31629])).
% 74.03/47.19 tff(31869,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.19 tff(31870,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.19 tff(31871,plain,
% 74.03/47.19 (v1(constB186) <=> v1(sK0_VarCurr)),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31870])).
% 74.03/47.19 tff(31872,plain,
% 74.03/47.19 (v1(sK0_VarCurr) <=> v1(constB186)),
% 74.03/47.19 inference(symmetry,[status(thm)],[31871])).
% 74.03/47.19 tff(31873,plain,
% 74.03/47.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31872])).
% 74.03/47.19 tff(31874,plain,
% 74.03/47.19 (~v1(constB186)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[4604, 31873])).
% 74.03/47.19 tff(31875,plain,
% 74.03/47.19 ($false),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[27681, 31874])).
% 74.03/47.19 tff(31876,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.19 tff(31877,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.19 tff(31878,plain,
% 74.03/47.19 (v193(constB0) <=> v193(sK0_VarCurr)),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31877])).
% 74.03/47.19 tff(31879,plain,
% 74.03/47.19 (v193(sK0_VarCurr) <=> v193(constB0)),
% 74.03/47.19 inference(symmetry,[status(thm)],[31878])).
% 74.03/47.19 tff(31880,plain,
% 74.03/47.19 (v193(constB0)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[17, 31879])).
% 74.03/47.19 tff(31881,plain,
% 74.03/47.19 ((~v193(constB0)) <=> (~v193(constB0))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31882,axiom,(~v193(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_8_1_1_1')).
% 74.03/47.19 tff(31883,plain,
% 74.03/47.19 (~v193(constB0)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31882, 31881])).
% 74.03/47.19 tff(31884,plain,
% 74.03/47.19 ($false),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31883, 31880])).
% 74.03/47.19 tff(31885,plain,(~(constB0 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.19 tff(31886,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.19 tff(31887,plain,
% 74.03/47.19 (v193(constB147) <=> v193(sK0_VarCurr)),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31886])).
% 74.03/47.19 tff(31888,plain,
% 74.03/47.19 (v193(sK0_VarCurr) <=> v193(constB147)),
% 74.03/47.19 inference(symmetry,[status(thm)],[31887])).
% 74.03/47.19 tff(31889,plain,
% 74.03/47.19 (v193(constB147)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[17, 31888])).
% 74.03/47.19 tff(31890,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31891,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31892,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 74.03/47.19 tff(31893,plain,
% 74.03/47.19 (~v88(constB145, bitIndex0)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31892, 4274, 22516])).
% 74.03/47.19 tff(31894,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31895,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31896,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 74.03/47.19 tff(31897,plain,
% 74.03/47.19 (v88(constB145, bitIndex2)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31896, 4229, 22451])).
% 74.03/47.19 tff(31898,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31899,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31900,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31899, 31898])).
% 74.03/47.19 tff(31901,plain,
% 74.03/47.19 (v88(constB145, bitIndex1)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31900, 4297, 22482])).
% 74.03/47.19 tff(31902,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31903,plain,
% 74.03/47.19 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31904,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)))),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31903])).
% 74.03/47.19 tff(31905,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 74.03/47.19 inference(transitivity,[status(thm)],[31904, 31902])).
% 74.03/47.19 tff(31906,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31907,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31906, 31905])).
% 74.03/47.19 tff(31908,plain,
% 74.03/47.19 (v144(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31907, 4311, 31901, 31897, 31893])).
% 74.03/47.19 tff(31909,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31910,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31911,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31910, 31909])).
% 74.03/47.19 tff(31912,plain,
% 74.03/47.19 (v142(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31911, 4326, 31908])).
% 74.03/47.19 tff(31913,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB145) | (~v142(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31914,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB145) | (~v142(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31915,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB145) | (~v142(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31914, 31913])).
% 74.03/47.19 tff(31916,plain,
% 74.03/47.19 (v167(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31915, 4337, 31912])).
% 74.03/47.19 tff(31917,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31918,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31919,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 74.03/47.19 tff(31920,plain,
% 74.03/47.19 (~v170(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31919, 4351, 31916])).
% 74.03/47.19 tff(31921,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31922,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31923,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 74.03/47.19 tff(31924,plain,
% 74.03/47.19 (v166(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31923, 4362, 31916])).
% 74.03/47.19 tff(31925,plain,
% 74.03/47.19 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31926,plain,
% 74.03/47.19 (((~v166(constB145)) | v170(constB145) | (~v163(constB145))) <=> ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31927,plain,
% 74.03/47.19 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145)))),
% 74.03/47.19 inference(monotonicity,[status(thm)],[31926])).
% 74.03/47.19 tff(31928,plain,
% 74.03/47.19 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 74.03/47.19 inference(transitivity,[status(thm)],[31927, 31925])).
% 74.03/47.19 tff(31929,plain,
% 74.03/47.19 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31930,plain,
% 74.03/47.19 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31929, 31928])).
% 74.03/47.19 tff(31931,plain,
% 74.03/47.19 (~v163(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31930, 4376, 31924, 31920])).
% 74.03/47.19 tff(31932,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31933,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31934,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 74.03/47.19 tff(31935,plain,
% 74.03/47.19 (~v201(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31934, 4390, 31931])).
% 74.03/47.19 tff(31936,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31937,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31938,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31937, 31936])).
% 74.03/47.19 tff(31939,plain,
% 74.03/47.19 (~v200(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31938, 4401, 31935])).
% 74.03/47.19 tff(31940,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31941,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31942,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 74.03/47.19 tff(31943,plain,
% 74.03/47.19 (~v198(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31942, 4412, 31939])).
% 74.03/47.19 tff(31944,assumption,(v18(constB146)), introduced(assumption)).
% 74.03/47.19 tff(31945,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB146))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31946,plain,
% 74.03/47.19 ($false),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31945, 58, 31944])).
% 74.03/47.19 tff(31947,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.19 tff(31948,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31949,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31950,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 74.03/47.19 tff(31951,plain,
% 74.03/47.19 (v22(constB146)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31950, 71, 22566])).
% 74.03/47.19 tff(31952,plain,
% 74.03/47.19 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31953,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31954,plain,
% 74.03/47.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31953, 31952])).
% 74.03/47.19 tff(31955,plain,
% 74.03/47.19 ((~v19(constB146)) | v18(constB146)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31954, 85, 31951])).
% 74.03/47.19 tff(31956,plain,
% 74.03/47.19 (~v19(constB146)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31955, 31947])).
% 74.03/47.19 tff(31957,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31958,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31959,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 74.03/47.19 tff(31960,plain,
% 74.03/47.19 (v13(constB146)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31959, 100, 31956])).
% 74.03/47.19 tff(31961,plain,
% 74.03/47.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31962,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31963,plain,
% 74.03/47.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 74.03/47.19 tff(31964,plain,
% 74.03/47.19 ((~v13(constB146)) | v9(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31963, 117, 22543])).
% 74.03/47.19 tff(31965,plain,
% 74.03/47.19 (v9(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31964, 31960])).
% 74.03/47.19 tff(31966,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 74.03/47.19 inference(rewrite,[status(thm)],[])).
% 74.03/47.19 tff(31967,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 74.03/47.19 inference(quant_inst,[status(thm)],[])).
% 74.03/47.19 tff(31968,plain,
% 74.03/47.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145)),
% 74.03/47.19 inference(modus_ponens,[status(thm)],[31967, 31966])).
% 74.03/47.19 tff(31969,plain,
% 74.03/47.19 ((~v9(constB145)) | v197(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31968, 4454, 22427])).
% 74.03/47.19 tff(31970,plain,
% 74.03/47.19 (v197(constB145)),
% 74.03/47.19 inference(unit_resolution,[status(thm)],[31969, 31965])).
% 74.03/47.19 tff(31971,plain,
% 74.03/47.19 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB145) | (~v197(constB145)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB145) | (~v197(constB145)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31972,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB145) | (~v197(constB145)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31973,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB145) | (~v197(constB145))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31972, 31971])).
% 74.03/47.20 tff(31974,plain,
% 74.03/47.20 (v196(constB145)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31973, 4466, 31970])).
% 74.03/47.20 tff(31975,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB145)) | (~v194(constB145)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB145)) | (~v194(constB145)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31976,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB145)) | (~v194(constB145)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31977,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB145)) | (~v194(constB145))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31976, 31975])).
% 74.03/47.20 tff(31978,plain,
% 74.03/47.20 (~v194(constB145)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31977, 4477, 31974])).
% 74.03/47.20 tff(31979,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31980,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31981,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31980, 31979])).
% 74.03/47.20 tff(31982,plain,
% 74.03/47.20 (v198(constB145) | (~v191(constB145))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31981, 4491, 31978])).
% 74.03/47.20 tff(31983,plain,
% 74.03/47.20 (~v191(constB145)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31982, 31943])).
% 74.03/47.20 tff(31984,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31985,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31986,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 74.03/47.20 tff(31987,plain,
% 74.03/47.20 (v191(constB145) | (~v193(constB146))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31986, 4506, 22543])).
% 74.03/47.20 tff(31988,plain,
% 74.03/47.20 (~v193(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31987, 31983])).
% 74.03/47.20 tff(31989,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31990,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31991,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31990, 31989])).
% 74.03/47.20 tff(31992,plain,
% 74.03/47.20 (~v194(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31991, 4518, 31988])).
% 74.03/47.20 tff(31993,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31994,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31995,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 74.03/47.20 tff(31996,plain,
% 74.03/47.20 (~v197(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31995, 4529, 22566])).
% 74.03/47.20 tff(31997,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(31998,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(31999,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 74.03/47.20 tff(32000,plain,
% 74.03/47.20 (~v200(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[31999, 4540, 31996])).
% 74.03/47.20 tff(32001,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32002,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32003,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32002, 32001])).
% 74.03/47.20 tff(32004,plain,
% 74.03/47.20 (~v198(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32003, 4412, 32000])).
% 74.03/47.20 tff(32005,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32006,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32007,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32006, 32005])).
% 74.03/47.20 tff(32008,plain,
% 74.03/47.20 (v194(constB146) | (~v191(constB146))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32007, 4491, 32004])).
% 74.03/47.20 tff(32009,plain,
% 74.03/47.20 (~v191(constB146)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32008, 31992])).
% 74.03/47.20 tff(32010,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32011,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32012,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32011, 32010])).
% 74.03/47.20 tff(32013,plain,
% 74.03/47.20 (v191(constB146) | (~v193(constB147))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32012, 4506, 22666])).
% 74.03/47.20 tff(32014,plain,
% 74.03/47.20 (~v193(constB147)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32013, 32009])).
% 74.03/47.20 tff(32015,plain,
% 74.03/47.20 ($false),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32014, 31889])).
% 74.03/47.20 tff(32016,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.20 tff(32017,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.20 tff(32018,plain,
% 74.03/47.20 (v193(constB89) <=> v193(sK0_VarCurr)),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32017])).
% 74.03/47.20 tff(32019,plain,
% 74.03/47.20 (v193(sK0_VarCurr) <=> v193(constB89)),
% 74.03/47.20 inference(symmetry,[status(thm)],[32018])).
% 74.03/47.20 tff(32020,plain,
% 74.03/47.20 (v193(constB89)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[17, 32019])).
% 74.03/47.20 tff(32021,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32022,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32023,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 74.03/47.20 tff(32024,plain,
% 74.03/47.20 (~v88(constB85, bitIndex0)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32023, 4274, 14032])).
% 74.03/47.20 tff(32025,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32026,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32027,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 74.03/47.20 tff(32028,plain,
% 74.03/47.20 (v88(constB85, bitIndex2)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32027, 4229, 13967])).
% 74.03/47.20 tff(32029,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32030,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32031,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 74.03/47.20 tff(32032,plain,
% 74.03/47.20 (v88(constB85, bitIndex1)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32031, 4297, 13998])).
% 74.03/47.20 tff(32033,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32034,plain,
% 74.03/47.20 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32035,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32034])).
% 74.03/47.20 tff(32036,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32035, 32033])).
% 74.03/47.20 tff(32037,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32038,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 74.03/47.20 tff(32039,plain,
% 74.03/47.20 (v144(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32038, 4311, 32032, 32028, 32024])).
% 74.03/47.20 tff(32040,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32041,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32042,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32041, 32040])).
% 74.03/47.20 tff(32043,plain,
% 74.03/47.20 (v142(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32042, 4326, 32039])).
% 74.03/47.20 tff(32044,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB85) | (~v142(constB85)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32045,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB85) | (~v142(constB85)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32046,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB85) | (~v142(constB85))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 74.03/47.20 tff(32047,plain,
% 74.03/47.20 (v167(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32046, 4337, 32043])).
% 74.03/47.20 tff(32048,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32049,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32050,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 74.03/47.20 tff(32051,plain,
% 74.03/47.20 (~v170(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32050, 4351, 32047])).
% 74.03/47.20 tff(32052,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32053,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32054,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 74.03/47.20 tff(32055,plain,
% 74.03/47.20 (v166(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32054, 4362, 32047])).
% 74.03/47.20 tff(32056,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32057,plain,
% 74.03/47.20 (((~v166(constB85)) | v170(constB85) | (~v163(constB85))) <=> ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32058,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85)))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32057])).
% 74.03/47.20 tff(32059,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32058, 32056])).
% 74.03/47.20 tff(32060,plain,
% 74.03/47.20 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32061,plain,
% 74.03/47.20 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 74.03/47.20 tff(32062,plain,
% 74.03/47.20 (~v163(constB85)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32061, 4376, 32055, 32051])).
% 74.03/47.20 tff(32063,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32064,plain,
% 74.03/47.20 (((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86))) <=> (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32065,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32064])).
% 74.03/47.20 tff(32066,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32065, 32063])).
% 74.03/47.20 tff(32067,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32068,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32067, 32066])).
% 74.03/47.20 tff(32069,plain,
% 74.03/47.20 (v163(constB85) | (~v186(constB86))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32068, 12267, 14059])).
% 74.03/47.20 tff(32070,plain,
% 74.03/47.20 (~v186(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32069, 32062])).
% 74.03/47.20 tff(32071,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32072,plain,
% 74.03/47.20 (((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86)) <=> ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32073,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32072])).
% 74.03/47.20 tff(32074,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32073, 32071])).
% 74.03/47.20 tff(32075,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32076,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 74.03/47.20 tff(32077,plain,
% 74.03/47.20 (v181(constB86) | v104(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32076, 12289, 14059])).
% 74.03/47.20 tff(32078,plain,
% 74.03/47.20 (v181(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32077, 14071])).
% 74.03/47.20 tff(32079,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32080,plain,
% 74.03/47.20 (((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86))) <=> ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32081,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32080])).
% 74.03/47.20 tff(32082,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32081, 32079])).
% 74.03/47.20 tff(32083,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32084,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 74.03/47.20 tff(32085,plain,
% 74.03/47.20 (v180(constB86) | (~v181(constB86))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32084, 12310, 14059, 14082])).
% 74.03/47.20 tff(32086,plain,
% 74.03/47.20 (v180(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32085, 32078])).
% 74.03/47.20 tff(32087,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32088,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32089,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 74.03/47.20 tff(32090,plain,
% 74.03/47.20 (v179(constB86) | (~v180(constB86))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32089, 12328, 14059])).
% 74.03/47.20 tff(32091,plain,
% 74.03/47.20 (v179(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32090, 32086])).
% 74.03/47.20 tff(32092,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB86)) | v186(constB86) | (~v179(constB86)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32093,plain,
% 74.03/47.20 (((~v179(constB86)) | (~v159(constB86)) | v186(constB86)) <=> ((~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32094,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB86)) | v186(constB86) | (~v179(constB86))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32093])).
% 74.03/47.20 tff(32095,plain,
% 74.03/47.20 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32094, 32092])).
% 74.03/47.20 tff(32096,plain,
% 74.03/47.20 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32097,plain,
% 74.03/47.20 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32096, 32095])).
% 74.03/47.20 tff(32098,plain,
% 74.03/47.20 ((~v159(constB86)) | v186(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32097, 12343, 32091])).
% 74.03/47.20 tff(32099,plain,
% 74.03/47.20 (~v159(constB86)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32098, 32070])).
% 74.03/47.20 tff(32100,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32101,plain,
% 74.03/47.20 (((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87))) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32102,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32101])).
% 74.03/47.20 tff(32103,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32102, 32100])).
% 74.03/47.20 tff(32104,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32105,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32104, 32103])).
% 74.03/47.20 tff(32106,plain,
% 74.03/47.20 (~v180(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32105, 12367, 14157, 14154])).
% 74.03/47.20 tff(32107,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32108,plain,
% 74.03/47.20 (((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87)) <=> ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32109,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32108])).
% 74.03/47.20 tff(32110,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32109, 32107])).
% 74.03/47.20 tff(32111,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32112,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32111, 32110])).
% 74.03/47.20 tff(32113,plain,
% 74.03/47.20 (v180(constB87) | (~v179(constB87))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32112, 12384, 14157])).
% 74.03/47.20 tff(32114,plain,
% 74.03/47.20 (~v179(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32113, 32106])).
% 74.03/47.20 tff(32115,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32116,plain,
% 74.03/47.20 (((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87))) <=> (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32117,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))))),
% 74.03/47.20 inference(monotonicity,[status(thm)],[32116])).
% 74.03/47.20 tff(32118,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 74.03/47.20 inference(transitivity,[status(thm)],[32117, 32115])).
% 74.03/47.20 tff(32119,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32120,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32119, 32118])).
% 74.03/47.20 tff(32121,plain,
% 74.03/47.20 (v159(constB86) | v179(constB87) | (~v159(constB87))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32120, 12402, 14157])).
% 74.03/47.20 tff(32122,plain,
% 74.03/47.20 (v159(constB86) | (~v159(constB87))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32121, 32114])).
% 74.03/47.20 tff(32123,plain,
% 74.03/47.20 (~v159(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32122, 32099])).
% 74.03/47.20 tff(32124,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32125,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32126,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 74.03/47.20 tff(32127,plain,
% 74.03/47.20 (~v201(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32126, 12418, 32123])).
% 74.03/47.20 tff(32128,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32129,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32130,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 74.03/47.20 tff(32131,plain,
% 74.03/47.20 (~v200(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32130, 4401, 32127])).
% 74.03/47.20 tff(32132,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32133,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32134,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 74.03/47.20 tff(32135,plain,
% 74.03/47.20 (~v198(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32134, 4412, 32131])).
% 74.03/47.20 tff(32136,assumption,(v18(constB88)), introduced(assumption)).
% 74.03/47.20 tff(32137,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32138,plain,
% 74.03/47.20 ($false),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32137, 58, 32136])).
% 74.03/47.20 tff(32139,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.20 tff(32140,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32141,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32142,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32141, 32140])).
% 74.03/47.20 tff(32143,plain,
% 74.03/47.20 (v22(constB88)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32142, 71, 14604])).
% 74.03/47.20 tff(32144,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32145,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32146,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 74.03/47.20 tff(32147,plain,
% 74.03/47.20 ((~v19(constB88)) | v18(constB88)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32146, 85, 32143])).
% 74.03/47.20 tff(32148,plain,
% 74.03/47.20 (~v19(constB88)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32147, 32139])).
% 74.03/47.20 tff(32149,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32150,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32151,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32150, 32149])).
% 74.03/47.20 tff(32152,plain,
% 74.03/47.20 (v13(constB88)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32151, 100, 32148])).
% 74.03/47.20 tff(32153,plain,
% 74.03/47.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32154,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32155,plain,
% 74.03/47.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 74.03/47.20 tff(32156,plain,
% 74.03/47.20 ((~v13(constB88)) | v9(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32155, 117, 14541])).
% 74.03/47.20 tff(32157,plain,
% 74.03/47.20 (v9(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32156, 32152])).
% 74.03/47.20 tff(32158,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32159,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32160,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87)),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32159, 32158])).
% 74.03/47.20 tff(32161,plain,
% 74.03/47.20 ((~v9(constB87)) | v197(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32160, 4454, 14154])).
% 74.03/47.20 tff(32162,plain,
% 74.03/47.20 (v197(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32161, 32157])).
% 74.03/47.20 tff(32163,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB87) | (~v197(constB87)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB87) | (~v197(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32164,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB87) | (~v197(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32165,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB87) | (~v197(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32164, 32163])).
% 74.03/47.20 tff(32166,plain,
% 74.03/47.20 (v196(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32165, 4466, 32162])).
% 74.03/47.20 tff(32167,plain,
% 74.03/47.20 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB87)) | (~v194(constB87)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB87)) | (~v194(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32168,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB87)) | (~v194(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32169,plain,
% 74.03/47.20 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB87)) | (~v194(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32168, 32167])).
% 74.03/47.20 tff(32170,plain,
% 74.03/47.20 (~v194(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32169, 4477, 32166])).
% 74.03/47.20 tff(32171,plain,
% 74.03/47.20 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 74.03/47.20 inference(rewrite,[status(thm)],[])).
% 74.03/47.20 tff(32172,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 74.03/47.20 inference(quant_inst,[status(thm)],[])).
% 74.03/47.20 tff(32173,plain,
% 74.03/47.20 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87))),
% 74.03/47.20 inference(modus_ponens,[status(thm)],[32172, 32171])).
% 74.03/47.20 tff(32174,plain,
% 74.03/47.20 (v198(constB87) | (~v191(constB87))),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32173, 4491, 32170])).
% 74.03/47.20 tff(32175,plain,
% 74.03/47.20 (~v191(constB87)),
% 74.03/47.20 inference(unit_resolution,[status(thm)],[32174, 32135])).
% 74.03/47.20 tff(32176,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32177,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32178,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32177, 32176])).
% 74.03/47.21 tff(32179,plain,
% 74.03/47.21 (v191(constB87) | (~v193(constB88))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32178, 4506, 14541])).
% 74.03/47.21 tff(32180,plain,
% 74.03/47.21 (~v193(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32179, 32175])).
% 74.03/47.21 tff(32181,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32182,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32183,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32182, 32181])).
% 74.03/47.21 tff(32184,plain,
% 74.03/47.21 (~v194(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32183, 4518, 32180])).
% 74.03/47.21 tff(32185,plain,
% 74.03/47.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32186,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32187,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32186, 32185])).
% 74.03/47.21 tff(32188,plain,
% 74.03/47.21 (~v197(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32187, 4529, 14604])).
% 74.03/47.21 tff(32189,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32190,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32191,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32190, 32189])).
% 74.03/47.21 tff(32192,plain,
% 74.03/47.21 (~v200(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32191, 4540, 32188])).
% 74.03/47.21 tff(32193,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32194,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32195,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32194, 32193])).
% 74.03/47.21 tff(32196,plain,
% 74.03/47.21 (~v198(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32195, 4412, 32192])).
% 74.03/47.21 tff(32197,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32198,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32199,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 74.03/47.21 tff(32200,plain,
% 74.03/47.21 (v194(constB88) | (~v191(constB88))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32199, 4491, 32196])).
% 74.03/47.21 tff(32201,plain,
% 74.03/47.21 (~v191(constB88)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32200, 32184])).
% 74.03/47.21 tff(32202,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32203,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32204,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 74.03/47.21 tff(32205,plain,
% 74.03/47.21 (v191(constB88) | (~v193(constB89))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32204, 4506, 14864])).
% 74.03/47.21 tff(32206,plain,
% 74.03/47.21 (~v193(constB89)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32205, 32201])).
% 74.03/47.21 tff(32207,plain,
% 74.03/47.21 ($false),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32206, 32020])).
% 74.03/47.21 tff(32208,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.21 tff(32209,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.21 tff(32210,plain,
% 74.03/47.21 (v193(constB169) <=> v193(sK0_VarCurr)),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32209])).
% 74.03/47.21 tff(32211,plain,
% 74.03/47.21 (v193(sK0_VarCurr) <=> v193(constB169)),
% 74.03/47.21 inference(symmetry,[status(thm)],[32210])).
% 74.03/47.21 tff(32212,plain,
% 74.03/47.21 (v193(constB169)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[17, 32211])).
% 74.03/47.21 tff(32213,plain,
% 74.03/47.21 ($false),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[25545, 32212])).
% 74.03/47.21 tff(32214,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.21 tff(32215,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.21 tff(32216,plain,
% 74.03/47.21 (v193(constB145) <=> v193(sK0_VarCurr)),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32215])).
% 74.03/47.21 tff(32217,plain,
% 74.03/47.21 (v193(sK0_VarCurr) <=> v193(constB145)),
% 74.03/47.21 inference(symmetry,[status(thm)],[32216])).
% 74.03/47.21 tff(32218,plain,
% 74.03/47.21 (v193(constB145)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[17, 32217])).
% 74.03/47.21 tff(32219,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32220,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32221,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 74.03/47.21 tff(32222,plain,
% 74.03/47.21 (~v88(constB141, bitIndex2)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32221, 12119, 22069])).
% 74.03/47.21 tff(32223,plain,
% 74.03/47.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32224,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32225,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32224, 32223])).
% 74.03/47.21 tff(32226,plain,
% 74.03/47.21 (v88(constB141, bitIndex1)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32225, 4297, 22100])).
% 74.03/47.21 tff(32227,plain,
% 74.03/47.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32228,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32229,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32228, 32227])).
% 74.03/47.21 tff(32230,plain,
% 74.03/47.21 (v88(constB141, bitIndex0)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32229, 12199, 22131])).
% 74.03/47.21 tff(32231,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32232,plain,
% 74.03/47.21 ((v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141)) <=> (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32233,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32232])).
% 74.03/47.21 tff(32234,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32233, 32231])).
% 74.03/47.21 tff(32235,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32236,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 74.03/47.21 tff(32237,plain,
% 74.03/47.21 (v141(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32236, 12213, 32230, 32226, 32222])).
% 74.03/47.21 tff(32238,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB141) | (~v141(constB141)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32239,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB141) | (~v141(constB141)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32240,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB141) | (~v141(constB141))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 74.03/47.21 tff(32241,plain,
% 74.03/47.21 (v168(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32240, 12224, 32237])).
% 74.03/47.21 tff(32242,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB141) | (~v168(constB141)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32243,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB141) | (~v168(constB141)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32244,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB141) | (~v168(constB141))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 74.03/47.21 tff(32245,plain,
% 74.03/47.21 (v167(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32244, 12235, 32241])).
% 74.03/47.21 tff(32246,plain,
% 74.03/47.21 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB141)) | (~v170(constB141)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB141)) | (~v170(constB141)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32247,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB141)) | (~v170(constB141)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32248,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB141)) | (~v170(constB141))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32247, 32246])).
% 74.03/47.21 tff(32249,plain,
% 74.03/47.21 (~v170(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32248, 4351, 32245])).
% 74.03/47.21 tff(32250,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB141) | (~v167(constB141)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB141) | (~v167(constB141)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32251,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB141) | (~v167(constB141)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32252,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB141) | (~v167(constB141))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 74.03/47.21 tff(32253,plain,
% 74.03/47.21 (v166(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32252, 4362, 32245])).
% 74.03/47.21 tff(32254,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB141)) | (~v166(constB141)) | v170(constB141))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32255,plain,
% 74.03/47.21 (((~v166(constB141)) | v170(constB141) | (~v163(constB141))) <=> ((~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32256,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB141)) | (~v166(constB141)) | v170(constB141)))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32255])).
% 74.03/47.21 tff(32257,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32256, 32254])).
% 74.03/47.21 tff(32258,plain,
% 74.03/47.21 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32259,plain,
% 74.03/47.21 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32258, 32257])).
% 74.03/47.21 tff(32260,plain,
% 74.03/47.21 (~v163(constB141)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32259, 4376, 32253, 32249])).
% 74.03/47.21 tff(32261,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32262,plain,
% 74.03/47.21 (((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142))) <=> (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32263,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32262])).
% 74.03/47.21 tff(32264,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32263, 32261])).
% 74.03/47.21 tff(32265,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32266,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32265, 32264])).
% 74.03/47.21 tff(32267,plain,
% 74.03/47.21 (v163(constB141) | (~v186(constB142))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32266, 12267, 22170])).
% 74.03/47.21 tff(32268,plain,
% 74.03/47.21 (~v186(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32267, 32260])).
% 74.03/47.21 tff(32269,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32270,plain,
% 74.03/47.21 (((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142)) <=> ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32271,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142)))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32270])).
% 74.03/47.21 tff(32272,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32271, 32269])).
% 74.03/47.21 tff(32273,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32274,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32273, 32272])).
% 74.03/47.21 tff(32275,plain,
% 74.03/47.21 (v181(constB142) | v104(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32274, 12289, 22170])).
% 74.03/47.21 tff(32276,plain,
% 74.03/47.21 (v181(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32275, 22182])).
% 74.03/47.21 tff(32277,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32278,plain,
% 74.03/47.21 (((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142))) <=> ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32279,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32278])).
% 74.03/47.21 tff(32280,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32279, 32277])).
% 74.03/47.21 tff(32281,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32282,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32281, 32280])).
% 74.03/47.21 tff(32283,plain,
% 74.03/47.21 (v180(constB142) | (~v181(constB142))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32282, 12310, 22170, 22193])).
% 74.03/47.21 tff(32284,plain,
% 74.03/47.21 (v180(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32283, 32276])).
% 74.03/47.21 tff(32285,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32286,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32287,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 74.03/47.21 tff(32288,plain,
% 74.03/47.21 (v179(constB142) | (~v180(constB142))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32287, 12328, 22170])).
% 74.03/47.21 tff(32289,plain,
% 74.03/47.21 (v179(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32288, 32284])).
% 74.03/47.21 tff(32290,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB142)) | v186(constB142) | (~v179(constB142)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB142)) | v186(constB142) | (~v179(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32291,plain,
% 74.03/47.21 (((~v179(constB142)) | (~v159(constB142)) | v186(constB142)) <=> ((~v159(constB142)) | v186(constB142) | (~v179(constB142)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32292,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB142)) | (~v159(constB142)) | v186(constB142))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB142)) | v186(constB142) | (~v179(constB142))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32291])).
% 74.03/47.21 tff(32293,plain,
% 74.03/47.21 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB142)) | (~v159(constB142)) | v186(constB142))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB142)) | v186(constB142) | (~v179(constB142)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32292, 32290])).
% 74.03/47.21 tff(32294,plain,
% 74.03/47.21 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB142)) | (~v159(constB142)) | v186(constB142))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32295,plain,
% 74.03/47.21 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB142)) | v186(constB142) | (~v179(constB142))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32294, 32293])).
% 74.03/47.21 tff(32296,plain,
% 74.03/47.21 ((~v159(constB142)) | v186(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32295, 12343, 32289])).
% 74.03/47.21 tff(32297,plain,
% 74.03/47.21 (~v159(constB142)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32296, 32268])).
% 74.03/47.21 tff(32298,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32299,plain,
% 74.03/47.21 (((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143))) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32300,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32299])).
% 74.03/47.21 tff(32301,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32300, 32298])).
% 74.03/47.21 tff(32302,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32303,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 74.03/47.21 tff(32304,plain,
% 74.03/47.21 (~v180(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32303, 12367, 22238, 22235])).
% 74.03/47.21 tff(32305,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32306,plain,
% 74.03/47.21 (((~nextState(constB142, constB143)) | (~v179(constB143)) | v180(constB143)) <=> ((~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32307,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB142, constB143)) | (~v179(constB143)) | v180(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32306])).
% 74.03/47.21 tff(32308,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB142, constB143)) | (~v179(constB143)) | v180(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32307, 32305])).
% 74.03/47.21 tff(32309,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB142, constB143)) | (~v179(constB143)) | v180(constB143))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32310,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32309, 32308])).
% 74.03/47.21 tff(32311,plain,
% 74.03/47.21 (v180(constB143) | (~v179(constB143))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32310, 12384, 22238])).
% 74.03/47.21 tff(32312,plain,
% 74.03/47.21 (~v179(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32311, 32304])).
% 74.03/47.21 tff(32313,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32314,plain,
% 74.03/47.21 (((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143))) <=> (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32315,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143))))),
% 74.03/47.21 inference(monotonicity,[status(thm)],[32314])).
% 74.03/47.21 tff(32316,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 74.03/47.21 inference(transitivity,[status(thm)],[32315, 32313])).
% 74.03/47.21 tff(32317,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32318,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 74.03/47.21 tff(32319,plain,
% 74.03/47.21 (v159(constB142) | v179(constB143) | (~v159(constB143))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32318, 12402, 22238])).
% 74.03/47.21 tff(32320,plain,
% 74.03/47.21 (v159(constB142) | (~v159(constB143))),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32319, 32312])).
% 74.03/47.21 tff(32321,plain,
% 74.03/47.21 (~v159(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32320, 32297])).
% 74.03/47.21 tff(32322,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB143) | (~v201(constB143)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB143) | (~v201(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32323,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB143) | (~v201(constB143)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32324,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB143) | (~v201(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32323, 32322])).
% 74.03/47.21 tff(32325,plain,
% 74.03/47.21 (~v201(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32324, 12418, 32321])).
% 74.03/47.21 tff(32326,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB143) | (~v200(constB143)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB143) | (~v200(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32327,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB143) | (~v200(constB143)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32328,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB143) | (~v200(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32327, 32326])).
% 74.03/47.21 tff(32329,plain,
% 74.03/47.21 (~v200(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32328, 4401, 32325])).
% 74.03/47.21 tff(32330,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB143) | (~v198(constB143)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB143) | (~v198(constB143)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32331,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB143) | (~v198(constB143)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32332,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB143) | (~v198(constB143))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32331, 32330])).
% 74.03/47.21 tff(32333,plain,
% 74.03/47.21 (~v198(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32332, 4412, 32329])).
% 74.03/47.21 tff(32334,assumption,(v18(constB144)), introduced(assumption)).
% 74.03/47.21 tff(32335,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB144))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32336,plain,
% 74.03/47.21 ($false),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32335, 58, 32334])).
% 74.03/47.21 tff(32337,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.21 tff(32338,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32339,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32340,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 74.03/47.21 tff(32341,plain,
% 74.03/47.21 (v22(constB144)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32340, 71, 22385])).
% 74.03/47.21 tff(32342,plain,
% 74.03/47.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32343,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32344,plain,
% 74.03/47.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32343, 32342])).
% 74.03/47.21 tff(32345,plain,
% 74.03/47.21 ((~v19(constB144)) | v18(constB144)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32344, 85, 32341])).
% 74.03/47.21 tff(32346,plain,
% 74.03/47.21 (~v19(constB144)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32345, 32337])).
% 74.03/47.21 tff(32347,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32348,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32349,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 74.03/47.21 tff(32350,plain,
% 74.03/47.21 (v13(constB144)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32349, 100, 32346])).
% 74.03/47.21 tff(32351,plain,
% 74.03/47.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32352,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 74.03/47.21 inference(quant_inst,[status(thm)],[])).
% 74.03/47.21 tff(32353,plain,
% 74.03/47.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143)),
% 74.03/47.21 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 74.03/47.21 tff(32354,plain,
% 74.03/47.21 ((~v13(constB144)) | v9(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32353, 117, 22362])).
% 74.03/47.21 tff(32355,plain,
% 74.03/47.21 (v9(constB143)),
% 74.03/47.21 inference(unit_resolution,[status(thm)],[32354, 32350])).
% 74.03/47.21 tff(32356,plain,
% 74.03/47.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v197(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB143) | (~v9(constB143)) | v197(constB143))),
% 74.03/47.21 inference(rewrite,[status(thm)],[])).
% 74.03/47.21 tff(32357,plain,
% 74.03/47.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v197(constB143))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32358,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB143) | (~v9(constB143)) | v197(constB143)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 74.03/47.22 tff(32359,plain,
% 74.03/47.22 ((~v9(constB143)) | v197(constB143)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32358, 4454, 22235])).
% 74.03/47.22 tff(32360,plain,
% 74.03/47.22 (v197(constB143)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32359, 32355])).
% 74.03/47.22 tff(32361,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB143) | (~v197(constB143)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB143) | (~v197(constB143)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32362,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB143) | (~v197(constB143)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32363,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB143) | (~v197(constB143))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 74.03/47.22 tff(32364,plain,
% 74.03/47.22 (v196(constB143)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32363, 4466, 32360])).
% 74.03/47.22 tff(32365,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB143)) | (~v196(constB143)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB143)) | (~v196(constB143)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32366,plain,
% 74.03/47.22 (((~v196(constB143)) | (~v194(constB143))) <=> ((~v194(constB143)) | (~v196(constB143)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32367,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB143)) | (~v194(constB143)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB143)) | (~v196(constB143))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32366])).
% 74.03/47.22 tff(32368,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB143)) | (~v194(constB143)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB143)) | (~v196(constB143)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32367, 32365])).
% 74.03/47.22 tff(32369,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB143)) | (~v194(constB143)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32370,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB143)) | (~v196(constB143))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 74.03/47.22 tff(32371,plain,
% 74.03/47.22 (~v194(constB143)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32370, 4477, 32364])).
% 74.03/47.22 tff(32372,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB143) | v198(constB143) | (~v191(constB143)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB143) | v198(constB143) | (~v191(constB143)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32373,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB143) | v198(constB143) | (~v191(constB143)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32374,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB143) | v198(constB143) | (~v191(constB143))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 74.03/47.22 tff(32375,plain,
% 74.03/47.22 (v198(constB143) | (~v191(constB143))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32374, 4491, 32371])).
% 74.03/47.22 tff(32376,plain,
% 74.03/47.22 (~v191(constB143)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32375, 32333])).
% 74.03/47.22 tff(32377,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32378,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32379,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32378, 32377])).
% 74.03/47.22 tff(32380,plain,
% 74.03/47.22 (v191(constB143) | (~v193(constB144))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32379, 4506, 22362])).
% 74.03/47.22 tff(32381,plain,
% 74.03/47.22 (~v193(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32380, 32376])).
% 74.03/47.22 tff(32382,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB144) | (~v194(constB144)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB144) | (~v194(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32383,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB144) | (~v194(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32384,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB144) | (~v194(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32383, 32382])).
% 74.03/47.22 tff(32385,plain,
% 74.03/47.22 (~v194(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32384, 4518, 32381])).
% 74.03/47.22 tff(32386,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB144)) | (~v197(constB144)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB144)) | (~v197(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32387,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB144)) | (~v197(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32388,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB144)) | (~v197(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32387, 32386])).
% 74.03/47.22 tff(32389,plain,
% 74.03/47.22 (~v197(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32388, 4529, 22385])).
% 74.03/47.22 tff(32390,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB144) | (~v200(constB144)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB144) | (~v200(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32391,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB144) | (~v200(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32392,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB144) | (~v200(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32391, 32390])).
% 74.03/47.22 tff(32393,plain,
% 74.03/47.22 (~v200(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32392, 4540, 32389])).
% 74.03/47.22 tff(32394,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB144) | (~v198(constB144)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB144) | (~v198(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32395,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB144) | (~v198(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32396,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB144) | (~v198(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 74.03/47.22 tff(32397,plain,
% 74.03/47.22 (~v198(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32396, 4412, 32393])).
% 74.03/47.22 tff(32398,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB144) | v198(constB144) | (~v191(constB144)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB144) | v198(constB144) | (~v191(constB144)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32399,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB144) | v198(constB144) | (~v191(constB144)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32400,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB144) | v198(constB144) | (~v191(constB144))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32399, 32398])).
% 74.03/47.22 tff(32401,plain,
% 74.03/47.22 (v194(constB144) | (~v191(constB144))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32400, 4491, 32397])).
% 74.03/47.22 tff(32402,plain,
% 74.03/47.22 (~v191(constB144)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32401, 32385])).
% 74.03/47.22 tff(32403,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32404,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32405,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 74.03/47.22 tff(32406,plain,
% 74.03/47.22 (v191(constB144) | (~v193(constB145))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32405, 4506, 22430])).
% 74.03/47.22 tff(32407,plain,
% 74.03/47.22 (~v193(constB145)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32406, 32402])).
% 74.03/47.22 tff(32408,plain,
% 74.03/47.22 ($false),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32407, 32218])).
% 74.03/47.22 tff(32409,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.22 tff(32410,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.22 tff(32411,plain,
% 74.03/47.22 (v1(constB74) <=> v1(sK0_VarCurr)),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32410])).
% 74.03/47.22 tff(32412,plain,
% 74.03/47.22 (v1(sK0_VarCurr) <=> v1(constB74)),
% 74.03/47.22 inference(symmetry,[status(thm)],[32411])).
% 74.03/47.22 tff(32413,plain,
% 74.03/47.22 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32412])).
% 74.03/47.22 tff(32414,plain,
% 74.03/47.22 (~v1(constB74)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[4604, 32413])).
% 74.03/47.22 tff(32415,plain,
% 74.03/47.22 ($false),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[12437, 32414])).
% 74.03/47.22 tff(32416,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.22 tff(32417,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.22 tff(32418,plain,
% 74.03/47.22 (v193(constB193) <=> v193(sK0_VarCurr)),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32417])).
% 74.03/47.22 tff(32419,plain,
% 74.03/47.22 (v193(sK0_VarCurr) <=> v193(constB193)),
% 74.03/47.22 inference(symmetry,[status(thm)],[32418])).
% 74.03/47.22 tff(32420,plain,
% 74.03/47.22 (v193(constB193)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[17, 32419])).
% 74.03/47.22 tff(32421,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB189, bitIndex2) | (~v88(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB189, bitIndex2) | (~v88(constB189, bitIndex2)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32422,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB189, bitIndex2) | (~v88(constB189, bitIndex2)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32423,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB189, bitIndex2) | (~v88(constB189, bitIndex2))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 74.03/47.22 tff(32424,plain,
% 74.03/47.22 (~v88(constB189, bitIndex2)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32423, 12119, 27990])).
% 74.03/47.22 tff(32425,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32426,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32427,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 74.03/47.22 tff(32428,plain,
% 74.03/47.22 (~v88(constB189, bitIndex0)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32427, 4274, 28055])).
% 74.03/47.22 tff(32429,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB189, bitIndex1)) | v88(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB189, bitIndex1)) | v88(constB189, bitIndex1))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32430,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB189, bitIndex1)) | v88(constB189, bitIndex1))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32431,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB189, bitIndex1)) | v88(constB189, bitIndex1)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 74.03/47.22 tff(32432,plain,
% 74.03/47.22 (v88(constB189, bitIndex1)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32431, 4297, 28021])).
% 74.03/47.22 tff(32433,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32434,plain,
% 74.03/47.22 ((v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0) | v143(constB189)) <=> ((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32435,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0) | v143(constB189))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189)))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32434])).
% 74.03/47.22 tff(32436,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0) | v143(constB189))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32435, 32433])).
% 74.03/47.22 tff(32437,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0) | v143(constB189))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32438,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0) | v143(constB189)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32437, 32436])).
% 74.03/47.22 tff(32439,plain,
% 74.03/47.22 (v143(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32438, 28498, 32432, 32428, 32424])).
% 74.03/47.22 tff(32440,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB189) | (~v143(constB189)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB189) | (~v143(constB189)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32441,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB189) | (~v143(constB189)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32442,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB189) | (~v143(constB189))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32441, 32440])).
% 74.03/47.22 tff(32443,plain,
% 74.03/47.22 (v142(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32442, 28512, 32439])).
% 74.03/47.22 tff(32444,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB189) | (~v142(constB189)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32445,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB189) | (~v142(constB189)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32446,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB189) | (~v142(constB189))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 74.03/47.22 tff(32447,plain,
% 74.03/47.22 (v167(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32446, 4337, 32443])).
% 74.03/47.22 tff(32448,plain,
% 74.03/47.22 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB189)) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB189)) | (~v170(constB189)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32449,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB189)) | (~v170(constB189)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32450,plain,
% 74.03/47.22 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB189)) | (~v170(constB189))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32449, 32448])).
% 74.03/47.22 tff(32451,plain,
% 74.03/47.22 (~v170(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32450, 4351, 32447])).
% 74.03/47.22 tff(32452,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB189) | (~v167(constB189)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB189) | (~v167(constB189)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32453,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB189) | (~v167(constB189)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32454,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB189) | (~v167(constB189))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32453, 32452])).
% 74.03/47.22 tff(32455,plain,
% 74.03/47.22 (v166(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32454, 4362, 32447])).
% 74.03/47.22 tff(32456,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB189)) | (~v166(constB189)) | v170(constB189))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB189)) | (~v166(constB189)) | v170(constB189))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32457,plain,
% 74.03/47.22 (((~v166(constB189)) | v170(constB189) | (~v163(constB189))) <=> ((~v163(constB189)) | (~v166(constB189)) | v170(constB189))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32458,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB189)) | v170(constB189) | (~v163(constB189)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB189)) | (~v166(constB189)) | v170(constB189)))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32457])).
% 74.03/47.22 tff(32459,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB189)) | v170(constB189) | (~v163(constB189)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB189)) | (~v166(constB189)) | v170(constB189))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32458, 32456])).
% 74.03/47.22 tff(32460,plain,
% 74.03/47.22 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB189)) | v170(constB189) | (~v163(constB189)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32461,plain,
% 74.03/47.22 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB189)) | (~v166(constB189)) | v170(constB189)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 74.03/47.22 tff(32462,plain,
% 74.03/47.22 (~v163(constB189)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32461, 4376, 32455, 32451])).
% 74.03/47.22 tff(32463,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32464,plain,
% 74.03/47.22 (((~nextState(constB189, constB190)) | v163(constB189) | (~v186(constB190))) <=> (v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32465,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB189, constB190)) | v163(constB189) | (~v186(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32464])).
% 74.03/47.22 tff(32466,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB189, constB190)) | v163(constB189) | (~v186(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32465, 32463])).
% 74.03/47.22 tff(32467,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB189, constB190)) | v163(constB189) | (~v186(constB190)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32468,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB189) | (~nextState(constB189, constB190)) | (~v186(constB190))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32467, 32466])).
% 74.03/47.22 tff(32469,plain,
% 74.03/47.22 (v163(constB189) | (~v186(constB190))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32468, 12267, 28095])).
% 74.03/47.22 tff(32470,plain,
% 74.03/47.22 (~v186(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32469, 32462])).
% 74.03/47.22 tff(32471,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB189, constB190)) | v181(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB189, constB190)) | v181(constB190) | v104(constB190))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32472,plain,
% 74.03/47.22 (((~nextState(constB189, constB190)) | v104(constB190) | v181(constB190)) <=> ((~nextState(constB189, constB190)) | v181(constB190) | v104(constB190))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32473,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v181(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB189, constB190)) | v181(constB190) | v104(constB190)))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32472])).
% 74.03/47.22 tff(32474,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v181(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB189, constB190)) | v181(constB190) | v104(constB190))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32473, 32471])).
% 74.03/47.22 tff(32475,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v181(constB190))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32476,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB189, constB190)) | v181(constB190) | v104(constB190)),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 74.03/47.22 tff(32477,plain,
% 74.03/47.22 (v181(constB190) | v104(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32476, 12289, 28095])).
% 74.03/47.22 tff(32478,plain,
% 74.03/47.22 (v181(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32477, 28107])).
% 74.03/47.22 tff(32479,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32480,plain,
% 74.03/47.22 (((~nextState(constB189, constB190)) | (~v1(constB190)) | v180(constB190) | (~v181(constB190))) <=> ((~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32481,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v180(constB190) | (~v181(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32480])).
% 74.03/47.22 tff(32482,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v180(constB190) | (~v181(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32481, 32479])).
% 74.03/47.22 tff(32483,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v180(constB190) | (~v181(constB190)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32484,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB189, constB190)) | v180(constB190) | (~v1(constB190)) | (~v181(constB190))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32483, 32482])).
% 74.03/47.22 tff(32485,plain,
% 74.03/47.22 (v180(constB190) | (~v181(constB190))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32484, 12310, 28095, 28118])).
% 74.03/47.22 tff(32486,plain,
% 74.03/47.22 (v180(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32485, 32478])).
% 74.03/47.22 tff(32487,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v179(constB190) | (~v180(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v179(constB190) | (~v180(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32488,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v179(constB190) | (~v180(constB190)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32489,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v179(constB190) | (~v180(constB190))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 74.03/47.22 tff(32490,plain,
% 74.03/47.22 (v179(constB190) | (~v180(constB190))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32489, 12328, 28095])).
% 74.03/47.22 tff(32491,plain,
% 74.03/47.22 (v179(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32490, 32486])).
% 74.03/47.22 tff(32492,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB190)) | v186(constB190) | (~v179(constB190)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB190)) | v186(constB190) | (~v179(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32493,plain,
% 74.03/47.22 (((~v179(constB190)) | (~v159(constB190)) | v186(constB190)) <=> ((~v159(constB190)) | v186(constB190) | (~v179(constB190)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32494,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB190)) | (~v159(constB190)) | v186(constB190))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB190)) | v186(constB190) | (~v179(constB190))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32493])).
% 74.03/47.22 tff(32495,plain,
% 74.03/47.22 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB190)) | (~v159(constB190)) | v186(constB190))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB190)) | v186(constB190) | (~v179(constB190)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32494, 32492])).
% 74.03/47.22 tff(32496,plain,
% 74.03/47.22 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB190)) | (~v159(constB190)) | v186(constB190))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32497,plain,
% 74.03/47.22 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB190)) | v186(constB190) | (~v179(constB190))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 74.03/47.22 tff(32498,plain,
% 74.03/47.22 ((~v159(constB190)) | v186(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32497, 12343, 32491])).
% 74.03/47.22 tff(32499,plain,
% 74.03/47.22 (~v159(constB190)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32498, 32470])).
% 74.03/47.22 tff(32500,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32501,plain,
% 74.03/47.22 (((~nextState(constB190, constB191)) | v1(constB191) | (~v180(constB191))) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32502,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v1(constB191) | (~v180(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32501])).
% 74.03/47.22 tff(32503,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v1(constB191) | (~v180(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32502, 32500])).
% 74.03/47.22 tff(32504,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v1(constB191) | (~v180(constB191)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32505,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v180(constB191))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32504, 32503])).
% 74.03/47.22 tff(32506,plain,
% 74.03/47.22 (~v180(constB191)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32505, 12367, 28166, 28163])).
% 74.03/47.22 tff(32507,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32508,plain,
% 74.03/47.22 (((~nextState(constB190, constB191)) | (~v179(constB191)) | v180(constB191)) <=> ((~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32509,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB190, constB191)) | (~v179(constB191)) | v180(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32508])).
% 74.03/47.22 tff(32510,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB190, constB191)) | (~v179(constB191)) | v180(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32509, 32507])).
% 74.03/47.22 tff(32511,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB190, constB191)) | (~v179(constB191)) | v180(constB191))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32512,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB190, constB191)) | v180(constB191) | (~v179(constB191))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32511, 32510])).
% 74.03/47.22 tff(32513,plain,
% 74.03/47.22 (v180(constB191) | (~v179(constB191))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32512, 12384, 28166])).
% 74.03/47.22 tff(32514,plain,
% 74.03/47.22 (~v179(constB191)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32513, 32506])).
% 74.03/47.22 tff(32515,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32516,plain,
% 74.03/47.22 (((~nextState(constB190, constB191)) | v179(constB191) | v159(constB190) | (~v159(constB191))) <=> (v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32517,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB190, constB191)) | v179(constB191) | v159(constB190) | (~v159(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191))))),
% 74.03/47.22 inference(monotonicity,[status(thm)],[32516])).
% 74.03/47.22 tff(32518,plain,
% 74.03/47.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB190, constB191)) | v179(constB191) | v159(constB190) | (~v159(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191)))),
% 74.03/47.22 inference(transitivity,[status(thm)],[32517, 32515])).
% 74.03/47.22 tff(32519,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB190, constB191)) | v179(constB191) | v159(constB190) | (~v159(constB191)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32520,plain,
% 74.03/47.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB190) | (~nextState(constB190, constB191)) | v179(constB191) | (~v159(constB191))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32519, 32518])).
% 74.03/47.22 tff(32521,plain,
% 74.03/47.22 (v159(constB190) | v179(constB191) | (~v159(constB191))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32520, 12402, 28166])).
% 74.03/47.22 tff(32522,plain,
% 74.03/47.22 (v159(constB190) | (~v159(constB191))),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32521, 32514])).
% 74.03/47.22 tff(32523,plain,
% 74.03/47.22 (~v159(constB191)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32522, 32499])).
% 74.03/47.22 tff(32524,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB191) | (~v201(constB191)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB191) | (~v201(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32525,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB191) | (~v201(constB191)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32526,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB191) | (~v201(constB191))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 74.03/47.22 tff(32527,plain,
% 74.03/47.22 (~v201(constB191)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32526, 12418, 32523])).
% 74.03/47.22 tff(32528,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB191) | (~v200(constB191)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB191) | (~v200(constB191)))),
% 74.03/47.22 inference(rewrite,[status(thm)],[])).
% 74.03/47.22 tff(32529,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB191) | (~v200(constB191)))),
% 74.03/47.22 inference(quant_inst,[status(thm)],[])).
% 74.03/47.22 tff(32530,plain,
% 74.03/47.22 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB191) | (~v200(constB191))),
% 74.03/47.22 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 74.03/47.22 tff(32531,plain,
% 74.03/47.22 (~v200(constB191)),
% 74.03/47.22 inference(unit_resolution,[status(thm)],[32530, 4401, 32527])).
% 74.03/47.22 tff(32532,plain,
% 74.03/47.22 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB191) | (~v198(constB191)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB191) | (~v198(constB191)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32533,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB191) | (~v198(constB191)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32534,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB191) | (~v198(constB191))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32533, 32532])).
% 74.03/47.23 tff(32535,plain,
% 74.03/47.23 (~v198(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32534, 4412, 32531])).
% 74.03/47.23 tff(32536,assumption,(v18(constB192)), introduced(assumption)).
% 74.03/47.23 tff(32537,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB192))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32538,plain,
% 74.03/47.23 ($false),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32537, 58, 32536])).
% 74.03/47.23 tff(32539,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.23 tff(32540,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32541,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32542,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32541, 32540])).
% 74.03/47.23 tff(32543,plain,
% 74.03/47.23 (v22(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32542, 71, 28317])).
% 74.03/47.23 tff(32544,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32545,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32546,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 74.03/47.23 tff(32547,plain,
% 74.03/47.23 ((~v19(constB192)) | v18(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32546, 85, 32543])).
% 74.03/47.23 tff(32548,plain,
% 74.03/47.23 (~v19(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32547, 32539])).
% 74.03/47.23 tff(32549,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32550,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32551,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32550, 32549])).
% 74.03/47.23 tff(32552,plain,
% 74.03/47.23 (v13(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32551, 100, 32548])).
% 74.03/47.23 tff(32553,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32554,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32555,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32554, 32553])).
% 74.03/47.23 tff(32556,plain,
% 74.03/47.23 ((~v13(constB192)) | v9(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32555, 117, 28294])).
% 74.03/47.23 tff(32557,plain,
% 74.03/47.23 (v9(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32556, 32552])).
% 74.03/47.23 tff(32558,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v197(constB191))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB191) | (~v9(constB191)) | v197(constB191))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32559,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v197(constB191))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32560,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB191) | (~v9(constB191)) | v197(constB191)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32559, 32558])).
% 74.03/47.23 tff(32561,plain,
% 74.03/47.23 ((~v9(constB191)) | v197(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32560, 4454, 28163])).
% 74.03/47.23 tff(32562,plain,
% 74.03/47.23 (v197(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32561, 32557])).
% 74.03/47.23 tff(32563,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB191) | (~v197(constB191)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB191) | (~v197(constB191)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32564,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB191) | (~v197(constB191)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32565,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB191) | (~v197(constB191))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32564, 32563])).
% 74.03/47.23 tff(32566,plain,
% 74.03/47.23 (v196(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32565, 4466, 32562])).
% 74.03/47.23 tff(32567,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB191)) | (~v196(constB191)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB191)) | (~v196(constB191)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32568,plain,
% 74.03/47.23 (((~v196(constB191)) | (~v194(constB191))) <=> ((~v194(constB191)) | (~v196(constB191)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32569,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB191)) | (~v194(constB191)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB191)) | (~v196(constB191))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32568])).
% 74.03/47.23 tff(32570,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB191)) | (~v194(constB191)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB191)) | (~v196(constB191)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32569, 32567])).
% 74.03/47.23 tff(32571,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB191)) | (~v194(constB191)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32572,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB191)) | (~v196(constB191))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 74.03/47.23 tff(32573,plain,
% 74.03/47.23 (~v194(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32572, 4477, 32566])).
% 74.03/47.23 tff(32574,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB191) | v198(constB191) | (~v191(constB191)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB191) | v198(constB191) | (~v191(constB191)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32575,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB191) | v198(constB191) | (~v191(constB191)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32576,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB191) | v198(constB191) | (~v191(constB191))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 74.03/47.23 tff(32577,plain,
% 74.03/47.23 (v198(constB191) | (~v191(constB191))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32576, 4491, 32573])).
% 74.03/47.23 tff(32578,plain,
% 74.03/47.23 (~v191(constB191)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32577, 32535])).
% 74.03/47.23 tff(32579,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB191, constB192)) | v191(constB191) | (~v193(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB191, constB192)) | v191(constB191) | (~v193(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32580,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB191, constB192)) | v191(constB191) | (~v193(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32581,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB191, constB192)) | v191(constB191) | (~v193(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 74.03/47.23 tff(32582,plain,
% 74.03/47.23 (v191(constB191) | (~v193(constB192))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32581, 4506, 28294])).
% 74.03/47.23 tff(32583,plain,
% 74.03/47.23 (~v193(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32582, 32578])).
% 74.03/47.23 tff(32584,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB192) | (~v194(constB192)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB192) | (~v194(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32585,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB192) | (~v194(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32586,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB192) | (~v194(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32585, 32584])).
% 74.03/47.23 tff(32587,plain,
% 74.03/47.23 (~v194(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32586, 4518, 32583])).
% 74.03/47.23 tff(32588,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB192)) | (~v197(constB192)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB192)) | (~v197(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32589,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB192)) | (~v197(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32590,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB192)) | (~v197(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32589, 32588])).
% 74.03/47.23 tff(32591,plain,
% 74.03/47.23 (~v197(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32590, 4529, 28317])).
% 74.03/47.23 tff(32592,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB192) | (~v200(constB192)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB192) | (~v200(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32593,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB192) | (~v200(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32594,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB192) | (~v200(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32593, 32592])).
% 74.03/47.23 tff(32595,plain,
% 74.03/47.23 (~v200(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32594, 4540, 32591])).
% 74.03/47.23 tff(32596,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB192) | (~v198(constB192)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB192) | (~v198(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32597,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB192) | (~v198(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32598,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB192) | (~v198(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 74.03/47.23 tff(32599,plain,
% 74.03/47.23 (~v198(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32598, 4412, 32595])).
% 74.03/47.23 tff(32600,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB192) | v198(constB192) | (~v191(constB192)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB192) | v198(constB192) | (~v191(constB192)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32601,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB192) | v198(constB192) | (~v191(constB192)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32602,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB192) | v198(constB192) | (~v191(constB192))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32601, 32600])).
% 74.03/47.23 tff(32603,plain,
% 74.03/47.23 (v194(constB192) | (~v191(constB192))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32602, 4491, 32599])).
% 74.03/47.23 tff(32604,plain,
% 74.03/47.23 (~v191(constB192)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32603, 32587])).
% 74.03/47.23 tff(32605,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB192, constB193)) | v191(constB192) | (~v193(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB192, constB193)) | v191(constB192) | (~v193(constB193)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32606,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB192, constB193)) | v191(constB192) | (~v193(constB193)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32607,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB192, constB193)) | v191(constB192) | (~v193(constB193))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32606, 32605])).
% 74.03/47.23 tff(32608,plain,
% 74.03/47.23 (v191(constB192) | (~v193(constB193))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32607, 4506, 28344])).
% 74.03/47.23 tff(32609,plain,
% 74.03/47.23 (~v193(constB193)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32608, 32604])).
% 74.03/47.23 tff(32610,plain,
% 74.03/47.23 ($false),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32609, 32420])).
% 74.03/47.23 tff(32611,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.23 tff(32612,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.23 tff(32613,plain,
% 74.03/47.23 (v193(constB105) <=> v193(sK0_VarCurr)),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32612])).
% 74.03/47.23 tff(32614,plain,
% 74.03/47.23 (v193(sK0_VarCurr) <=> v193(constB105)),
% 74.03/47.23 inference(symmetry,[status(thm)],[32613])).
% 74.03/47.23 tff(32615,plain,
% 74.03/47.23 (v193(constB105)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[17, 32614])).
% 74.03/47.23 tff(32616,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB101, bitIndex0) | (~v122(constB101)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB101, bitIndex0) | (~v122(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32617,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB101, bitIndex0) | (~v122(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32618,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB101, bitIndex0) | (~v122(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 74.03/47.23 tff(32619,plain,
% 74.03/47.23 (v90(constB101, bitIndex0)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32618, 3752, 17049])).
% 74.03/47.23 tff(32620,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB101, bitIndex0)) | v88(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB101, bitIndex0)) | v88(constB101, bitIndex0))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32621,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB101, bitIndex0)) | v88(constB101, bitIndex0))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32622,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB101, bitIndex0)) | v88(constB101, bitIndex0)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 74.03/47.23 tff(32623,plain,
% 74.03/47.23 (v88(constB101, bitIndex0)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32622, 12199, 32619])).
% 74.03/47.23 tff(32624,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB101, bitIndex2)) | (~v122(constB101)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB101, bitIndex2)) | (~v122(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32625,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB101, bitIndex2)) | (~v122(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32626,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB101, bitIndex2)) | (~v122(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 74.03/47.23 tff(32627,plain,
% 74.03/47.23 (~v90(constB101, bitIndex2)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32626, 1193, 17049])).
% 74.03/47.23 tff(32628,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32629,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32630,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 74.03/47.23 tff(32631,plain,
% 74.03/47.23 (~v88(constB101, bitIndex2)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32630, 12119, 32627])).
% 74.03/47.23 tff(32632,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB101, bitIndex1) | (~v122(constB101)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB101, bitIndex1) | (~v122(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32633,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB101, bitIndex1) | (~v122(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32634,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB101, bitIndex1) | (~v122(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 74.03/47.23 tff(32635,plain,
% 74.03/47.23 (v90(constB101, bitIndex1)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32634, 3254, 17049])).
% 74.03/47.23 tff(32636,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32637,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32638,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32637, 32636])).
% 74.03/47.23 tff(32639,plain,
% 74.03/47.23 (v88(constB101, bitIndex1)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32638, 4297, 32635])).
% 74.03/47.23 tff(32640,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32641,plain,
% 74.03/47.23 ((v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v141(constB101)) <=> ((~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32642,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v141(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101)))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32641])).
% 74.03/47.23 tff(32643,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v141(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32642, 32640])).
% 74.03/47.23 tff(32644,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v141(constB101))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32645,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)) | v88(constB101, bitIndex2) | v141(constB101)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 74.03/47.23 tff(32646,plain,
% 74.03/47.23 (v141(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32645, 12213, 32639, 32631, 32623])).
% 74.03/47.23 tff(32647,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB101) | (~v141(constB101)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB101) | (~v141(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32648,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB101) | (~v141(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32649,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB101) | (~v141(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32648, 32647])).
% 74.03/47.23 tff(32650,plain,
% 74.03/47.23 (v168(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32649, 12224, 32646])).
% 74.03/47.23 tff(32651,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB101) | (~v168(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32652,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB101) | (~v168(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32653,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB101) | (~v168(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32652, 32651])).
% 74.03/47.23 tff(32654,plain,
% 74.03/47.23 (v167(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32653, 12235, 32650])).
% 74.03/47.23 tff(32655,plain,
% 74.03/47.23 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB101)) | (~v170(constB101)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB101)) | (~v170(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32656,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB101)) | (~v170(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32657,plain,
% 74.03/47.23 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB101)) | (~v170(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32656, 32655])).
% 74.03/47.23 tff(32658,plain,
% 74.03/47.23 (~v170(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32657, 4351, 32654])).
% 74.03/47.23 tff(32659,plain,
% 74.03/47.23 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB101) | (~v167(constB101)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB101) | (~v167(constB101)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32660,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB101) | (~v167(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32661,plain,
% 74.03/47.23 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB101) | (~v167(constB101))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 74.03/47.23 tff(32662,plain,
% 74.03/47.23 (v166(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32661, 4362, 32654])).
% 74.03/47.23 tff(32663,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB101)) | (~v166(constB101)) | v170(constB101))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32664,plain,
% 74.03/47.23 (((~v166(constB101)) | v170(constB101) | (~v163(constB101))) <=> ((~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32665,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB101)) | (~v166(constB101)) | v170(constB101)))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32664])).
% 74.03/47.23 tff(32666,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32665, 32663])).
% 74.03/47.23 tff(32667,plain,
% 74.03/47.23 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32668,plain,
% 74.03/47.23 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 74.03/47.23 tff(32669,plain,
% 74.03/47.23 (~v163(constB101)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32668, 4376, 32662, 32658])).
% 74.03/47.23 tff(32670,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32671,plain,
% 74.03/47.23 (((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102))) <=> (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32672,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32671])).
% 74.03/47.23 tff(32673,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32672, 32670])).
% 74.03/47.23 tff(32674,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32675,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32674, 32673])).
% 74.03/47.23 tff(32676,plain,
% 74.03/47.23 (v163(constB101) | (~v186(constB102))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32675, 12267, 17068])).
% 74.03/47.23 tff(32677,plain,
% 74.03/47.23 (~v186(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32676, 32669])).
% 74.03/47.23 tff(32678,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32679,plain,
% 74.03/47.23 (((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102)) <=> ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32680,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102)))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32679])).
% 74.03/47.23 tff(32681,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32680, 32678])).
% 74.03/47.23 tff(32682,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32683,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102)),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32682, 32681])).
% 74.03/47.23 tff(32684,plain,
% 74.03/47.23 (v181(constB102) | v104(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32683, 12289, 17068])).
% 74.03/47.23 tff(32685,plain,
% 74.03/47.23 (v181(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32684, 17116])).
% 74.03/47.23 tff(32686,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32687,plain,
% 74.03/47.23 (((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102))) <=> ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32688,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32687])).
% 74.03/47.23 tff(32689,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32688, 32686])).
% 74.03/47.23 tff(32690,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32691,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 74.03/47.23 tff(32692,plain,
% 74.03/47.23 (v180(constB102) | (~v181(constB102))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32691, 12310, 17068, 17127])).
% 74.03/47.23 tff(32693,plain,
% 74.03/47.23 (v180(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32692, 32685])).
% 74.03/47.23 tff(32694,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32695,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32696,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32695, 32694])).
% 74.03/47.23 tff(32697,plain,
% 74.03/47.23 (v179(constB102) | (~v180(constB102))),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32696, 12328, 17068])).
% 74.03/47.23 tff(32698,plain,
% 74.03/47.23 (v179(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32697, 32693])).
% 74.03/47.23 tff(32699,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB102)) | v186(constB102) | (~v179(constB102)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32700,plain,
% 74.03/47.23 (((~v179(constB102)) | (~v159(constB102)) | v186(constB102)) <=> ((~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32701,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB102)) | v186(constB102) | (~v179(constB102))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32700])).
% 74.03/47.23 tff(32702,plain,
% 74.03/47.23 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32701, 32699])).
% 74.03/47.23 tff(32703,plain,
% 74.03/47.23 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32704,plain,
% 74.03/47.23 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32703, 32702])).
% 74.03/47.23 tff(32705,plain,
% 74.03/47.23 ((~v159(constB102)) | v186(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32704, 12343, 32698])).
% 74.03/47.23 tff(32706,plain,
% 74.03/47.23 (~v159(constB102)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32705, 32677])).
% 74.03/47.23 tff(32707,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32708,plain,
% 74.03/47.23 (((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103))) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32709,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32708])).
% 74.03/47.23 tff(32710,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32709, 32707])).
% 74.03/47.23 tff(32711,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32712,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 74.03/47.23 tff(32713,plain,
% 74.03/47.23 (~v180(constB103)),
% 74.03/47.23 inference(unit_resolution,[status(thm)],[32712, 12367, 17454, 17451])).
% 74.03/47.23 tff(32714,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32715,plain,
% 74.03/47.23 (((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103)) <=> ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 74.03/47.23 inference(rewrite,[status(thm)],[])).
% 74.03/47.23 tff(32716,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103))))),
% 74.03/47.23 inference(monotonicity,[status(thm)],[32715])).
% 74.03/47.23 tff(32717,plain,
% 74.03/47.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 74.03/47.23 inference(transitivity,[status(thm)],[32716, 32714])).
% 74.03/47.23 tff(32718,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))),
% 74.03/47.23 inference(quant_inst,[status(thm)],[])).
% 74.03/47.23 tff(32719,plain,
% 74.03/47.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103))),
% 74.03/47.23 inference(modus_ponens,[status(thm)],[32718, 32717])).
% 74.03/47.24 tff(32720,plain,
% 74.03/47.24 (v180(constB103) | (~v179(constB103))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32719, 12384, 17454])).
% 74.03/47.24 tff(32721,plain,
% 74.03/47.24 (~v179(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32720, 32713])).
% 74.03/47.24 tff(32722,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32723,plain,
% 74.03/47.24 (((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103))) <=> (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32724,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103))))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32723])).
% 74.03/47.24 tff(32725,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32724, 32722])).
% 74.03/47.24 tff(32726,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32727,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 74.03/47.24 tff(32728,plain,
% 74.03/47.24 (v159(constB102) | v179(constB103) | (~v159(constB103))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32727, 12402, 17454])).
% 74.03/47.24 tff(32729,plain,
% 74.03/47.24 (v159(constB102) | (~v159(constB103))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32728, 32721])).
% 74.03/47.24 tff(32730,plain,
% 74.03/47.24 (~v159(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32729, 32706])).
% 74.03/47.24 tff(32731,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB103) | (~v201(constB103)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB103) | (~v201(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32732,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB103) | (~v201(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32733,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB103) | (~v201(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32732, 32731])).
% 74.03/47.24 tff(32734,plain,
% 74.03/47.24 (~v201(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32733, 12418, 32730])).
% 74.03/47.24 tff(32735,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB103) | (~v200(constB103)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB103) | (~v200(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32736,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB103) | (~v200(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32737,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB103) | (~v200(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 74.03/47.24 tff(32738,plain,
% 74.03/47.24 (~v200(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32737, 4401, 32734])).
% 74.03/47.24 tff(32739,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB103) | (~v198(constB103)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB103) | (~v198(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32740,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB103) | (~v198(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32741,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB103) | (~v198(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 74.03/47.24 tff(32742,plain,
% 74.03/47.24 (~v198(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32741, 4412, 32738])).
% 74.03/47.24 tff(32743,assumption,(v18(constB104)), introduced(assumption)).
% 74.03/47.24 tff(32744,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB104))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32745,plain,
% 74.03/47.24 ($false),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32744, 58, 32743])).
% 74.03/47.24 tff(32746,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.24 tff(32747,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32748,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32749,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 74.03/47.24 tff(32750,plain,
% 74.03/47.24 (v22(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32749, 71, 17630])).
% 74.03/47.24 tff(32751,plain,
% 74.03/47.24 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB104)) | (~v22(constB104)) | v18(constB104))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB104)) | (~v22(constB104)) | v18(constB104))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32752,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB104)) | (~v22(constB104)) | v18(constB104))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32753,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB104)) | (~v22(constB104)) | v18(constB104)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 74.03/47.24 tff(32754,plain,
% 74.03/47.24 ((~v19(constB104)) | v18(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32753, 85, 32750])).
% 74.03/47.24 tff(32755,plain,
% 74.03/47.24 (~v19(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32754, 32746])).
% 74.03/47.24 tff(32756,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32757,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32758,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32757, 32756])).
% 74.03/47.24 tff(32759,plain,
% 74.03/47.24 (v13(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32758, 100, 32755])).
% 74.03/47.24 tff(32760,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32761,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32762,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32761, 32760])).
% 74.03/47.24 tff(32763,plain,
% 74.03/47.24 ((~v13(constB104)) | v9(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32762, 117, 17520])).
% 74.03/47.24 tff(32764,plain,
% 74.03/47.24 (v9(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32763, 32759])).
% 74.03/47.24 tff(32765,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v197(constB103))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB103) | (~v9(constB103)) | v197(constB103))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32766,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v197(constB103))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32767,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB103) | (~v9(constB103)) | v197(constB103)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32766, 32765])).
% 74.03/47.24 tff(32768,plain,
% 74.03/47.24 ((~v9(constB103)) | v197(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32767, 4454, 17451])).
% 74.03/47.24 tff(32769,plain,
% 74.03/47.24 (v197(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32768, 32764])).
% 74.03/47.24 tff(32770,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB103) | (~v197(constB103)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB103) | (~v197(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32771,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB103) | (~v197(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32772,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB103) | (~v197(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32771, 32770])).
% 74.03/47.24 tff(32773,plain,
% 74.03/47.24 (v196(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32772, 4466, 32769])).
% 74.03/47.24 tff(32774,plain,
% 74.03/47.24 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB103)) | (~v194(constB103)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB103)) | (~v194(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32775,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB103)) | (~v194(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32776,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB103)) | (~v194(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 74.03/47.24 tff(32777,plain,
% 74.03/47.24 (~v194(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32776, 4477, 32773])).
% 74.03/47.24 tff(32778,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB103) | v198(constB103) | (~v191(constB103)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB103) | v198(constB103) | (~v191(constB103)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32779,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB103) | v198(constB103) | (~v191(constB103)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32780,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB103) | v198(constB103) | (~v191(constB103))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 74.03/47.24 tff(32781,plain,
% 74.03/47.24 (v198(constB103) | (~v191(constB103))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32780, 4491, 32777])).
% 74.03/47.24 tff(32782,plain,
% 74.03/47.24 (~v191(constB103)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32781, 32742])).
% 74.03/47.24 tff(32783,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32784,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32785,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 74.03/47.24 tff(32786,plain,
% 74.03/47.24 (v191(constB103) | (~v193(constB104))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32785, 4506, 17520])).
% 74.03/47.24 tff(32787,plain,
% 74.03/47.24 (~v193(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32786, 32782])).
% 74.03/47.24 tff(32788,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB104) | (~v194(constB104)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB104) | (~v194(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32789,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB104) | (~v194(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32790,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB104) | (~v194(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32789, 32788])).
% 74.03/47.24 tff(32791,plain,
% 74.03/47.24 (~v194(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32790, 4518, 32787])).
% 74.03/47.24 tff(32792,plain,
% 74.03/47.24 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB104)) | (~v197(constB104)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB104)) | (~v197(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32793,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB104)) | (~v197(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32794,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB104)) | (~v197(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32793, 32792])).
% 74.03/47.24 tff(32795,plain,
% 74.03/47.24 (~v197(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32794, 4529, 17630])).
% 74.03/47.24 tff(32796,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB104) | (~v200(constB104)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB104) | (~v200(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32797,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB104) | (~v200(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32798,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB104) | (~v200(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 74.03/47.24 tff(32799,plain,
% 74.03/47.24 (~v200(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32798, 4540, 32795])).
% 74.03/47.24 tff(32800,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB104) | (~v198(constB104)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB104) | (~v198(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32801,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB104) | (~v198(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32802,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB104) | (~v198(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 74.03/47.24 tff(32803,plain,
% 74.03/47.24 (~v198(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32802, 4412, 32799])).
% 74.03/47.24 tff(32804,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB104) | v198(constB104) | (~v191(constB104)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB104) | v198(constB104) | (~v191(constB104)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32805,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB104) | v198(constB104) | (~v191(constB104)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32806,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB104) | v198(constB104) | (~v191(constB104))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 74.03/47.24 tff(32807,plain,
% 74.03/47.24 (v194(constB104) | (~v191(constB104))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32806, 4491, 32803])).
% 74.03/47.24 tff(32808,plain,
% 74.03/47.24 (~v191(constB104)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32807, 32791])).
% 74.03/47.24 tff(32809,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32810,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32811,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 74.03/47.24 tff(32812,plain,
% 74.03/47.24 (v191(constB104) | (~v193(constB105))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32811, 4506, 17661])).
% 74.03/47.24 tff(32813,plain,
% 74.03/47.24 (~v193(constB105)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32812, 32808])).
% 74.03/47.24 tff(32814,plain,
% 74.03/47.24 ($false),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32813, 32615])).
% 74.03/47.24 tff(32815,plain,(~(constB105 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.24 tff(32816,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.24 tff(32817,plain,
% 74.03/47.24 (v1(constB24) <=> v1(sK0_VarCurr)),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32816])).
% 74.03/47.24 tff(32818,plain,
% 74.03/47.24 (v1(sK0_VarCurr) <=> v1(constB24)),
% 74.03/47.24 inference(symmetry,[status(thm)],[32817])).
% 74.03/47.24 tff(32819,plain,
% 74.03/47.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32818])).
% 74.03/47.24 tff(32820,plain,
% 74.03/47.24 (~v1(constB24)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[4604, 32819])).
% 74.03/47.24 tff(32821,plain,
% 74.03/47.24 ($false),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[3275, 32820])).
% 74.03/47.24 tff(32822,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.24 tff(32823,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.24 tff(32824,plain,
% 74.03/47.24 (v1(constB68) <=> v1(sK0_VarCurr)),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32823])).
% 74.03/47.24 tff(32825,plain,
% 74.03/47.24 (v1(sK0_VarCurr) <=> v1(constB68)),
% 74.03/47.24 inference(symmetry,[status(thm)],[32824])).
% 74.03/47.24 tff(32826,plain,
% 74.03/47.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32825])).
% 74.03/47.24 tff(32827,plain,
% 74.03/47.24 (~v1(constB68)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[4604, 32826])).
% 74.03/47.24 tff(32828,plain,
% 74.03/47.24 ($false),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[11863, 32827])).
% 74.03/47.24 tff(32829,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.24 tff(32830,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.24 tff(32831,plain,
% 74.03/47.24 (v193(constB13) <=> v193(sK0_VarCurr)),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32830])).
% 74.03/47.24 tff(32832,plain,
% 74.03/47.24 (v193(sK0_VarCurr) <=> v193(constB13)),
% 74.03/47.24 inference(symmetry,[status(thm)],[32831])).
% 74.03/47.24 tff(32833,plain,
% 74.03/47.24 (v193(constB13)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[17, 32832])).
% 74.03/47.24 tff(32834,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32835,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32836,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 74.03/47.24 tff(32837,plain,
% 74.03/47.24 (~v88(constB9, bitIndex2)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32836, 12119, 1639])).
% 74.03/47.24 tff(32838,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32839,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32840,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 74.03/47.24 tff(32841,plain,
% 74.03/47.24 (~v88(constB9, bitIndex0)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32840, 4274, 1724])).
% 74.03/47.24 tff(32842,plain,
% 74.03/47.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32843,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32844,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32843, 32842])).
% 74.03/47.24 tff(32845,plain,
% 74.03/47.24 (v88(constB9, bitIndex1)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32844, 4297, 1680])).
% 74.03/47.24 tff(32846,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32847,plain,
% 74.03/47.24 ((v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9)) <=> ((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32848,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9)))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32847])).
% 74.03/47.24 tff(32849,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32848, 32846])).
% 74.03/47.24 tff(32850,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32851,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0) | v143(constB9)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32850, 32849])).
% 74.03/47.24 tff(32852,plain,
% 74.03/47.24 (v143(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32851, 28498, 32845, 32841, 32837])).
% 74.03/47.24 tff(32853,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB9) | (~v143(constB9)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB9) | (~v143(constB9)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32854,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB9) | (~v143(constB9)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32855,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB9) | (~v143(constB9))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32854, 32853])).
% 74.03/47.24 tff(32856,plain,
% 74.03/47.24 (v142(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32855, 28512, 32852])).
% 74.03/47.24 tff(32857,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB9) | (~v142(constB9)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32858,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB9) | (~v142(constB9)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32859,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB9) | (~v142(constB9))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32858, 32857])).
% 74.03/47.24 tff(32860,plain,
% 74.03/47.24 (v167(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32859, 4337, 32856])).
% 74.03/47.24 tff(32861,plain,
% 74.03/47.24 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB9)) | (~v170(constB9)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB9)) | (~v170(constB9)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32862,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB9)) | (~v170(constB9)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32863,plain,
% 74.03/47.24 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB9)) | (~v170(constB9))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32862, 32861])).
% 74.03/47.24 tff(32864,plain,
% 74.03/47.24 (~v170(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32863, 4351, 32860])).
% 74.03/47.24 tff(32865,plain,
% 74.03/47.24 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB9) | (~v167(constB9)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB9) | (~v167(constB9)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32866,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB9) | (~v167(constB9)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32867,plain,
% 74.03/47.24 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB9) | (~v167(constB9))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32866, 32865])).
% 74.03/47.24 tff(32868,plain,
% 74.03/47.24 (v166(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32867, 4362, 32860])).
% 74.03/47.24 tff(32869,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB9)) | (~v166(constB9)) | v170(constB9))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32870,plain,
% 74.03/47.24 (((~v166(constB9)) | v170(constB9) | (~v163(constB9))) <=> ((~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32871,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB9)) | (~v166(constB9)) | v170(constB9)))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32870])).
% 74.03/47.24 tff(32872,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32871, 32869])).
% 74.03/47.24 tff(32873,plain,
% 74.03/47.24 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32874,plain,
% 74.03/47.24 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 74.03/47.24 tff(32875,plain,
% 74.03/47.24 (~v163(constB9)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32874, 4376, 32868, 32864])).
% 74.03/47.24 tff(32876,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32877,plain,
% 74.03/47.24 (((~nextState(constB9, constB10)) | v163(constB9) | (~v186(constB10))) <=> (v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32878,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB9, constB10)) | v163(constB9) | (~v186(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10))))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32877])).
% 74.03/47.24 tff(32879,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB9, constB10)) | v163(constB9) | (~v186(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10)))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32878, 32876])).
% 74.03/47.24 tff(32880,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB9, constB10)) | v163(constB9) | (~v186(constB10)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32881,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB9) | (~nextState(constB9, constB10)) | (~v186(constB10))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32880, 32879])).
% 74.03/47.24 tff(32882,plain,
% 74.03/47.24 (v163(constB9) | (~v186(constB10))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32881, 12267, 1763])).
% 74.03/47.24 tff(32883,plain,
% 74.03/47.24 (~v186(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32882, 32875])).
% 74.03/47.24 tff(32884,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB9, constB10)) | v181(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB9, constB10)) | v181(constB10) | v104(constB10))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32885,plain,
% 74.03/47.24 (((~nextState(constB9, constB10)) | v104(constB10) | v181(constB10)) <=> ((~nextState(constB9, constB10)) | v181(constB10) | v104(constB10))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32886,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v181(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB9, constB10)) | v181(constB10) | v104(constB10)))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32885])).
% 74.03/47.24 tff(32887,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v181(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB9, constB10)) | v181(constB10) | v104(constB10))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32886, 32884])).
% 74.03/47.24 tff(32888,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v181(constB10))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32889,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB9, constB10)) | v181(constB10) | v104(constB10)),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32888, 32887])).
% 74.03/47.24 tff(32890,plain,
% 74.03/47.24 (v181(constB10) | v104(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32889, 12289, 1763])).
% 74.03/47.24 tff(32891,plain,
% 74.03/47.24 (v181(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32890, 1831])).
% 74.03/47.24 tff(32892,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32893,plain,
% 74.03/47.24 (((~nextState(constB9, constB10)) | (~v1(constB10)) | v180(constB10) | (~v181(constB10))) <=> ((~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32894,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v180(constB10) | (~v181(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10))))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32893])).
% 74.03/47.24 tff(32895,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v180(constB10) | (~v181(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10)))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32894, 32892])).
% 74.03/47.24 tff(32896,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v180(constB10) | (~v181(constB10)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32897,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB9, constB10)) | v180(constB10) | (~v1(constB10)) | (~v181(constB10))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 74.03/47.24 tff(32898,plain,
% 74.03/47.24 (v180(constB10) | (~v181(constB10))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32897, 12310, 1763, 1842])).
% 74.03/47.24 tff(32899,plain,
% 74.03/47.24 (v180(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32898, 32891])).
% 74.03/47.24 tff(32900,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v179(constB10) | (~v180(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v179(constB10) | (~v180(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32901,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v179(constB10) | (~v180(constB10)))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32902,plain,
% 74.03/47.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v179(constB10) | (~v180(constB10))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32901, 32900])).
% 74.03/47.24 tff(32903,plain,
% 74.03/47.24 (v179(constB10) | (~v180(constB10))),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32902, 12328, 1763])).
% 74.03/47.24 tff(32904,plain,
% 74.03/47.24 (v179(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32903, 32899])).
% 74.03/47.24 tff(32905,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB10)) | v186(constB10) | (~v179(constB10)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB10)) | v186(constB10) | (~v179(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32906,plain,
% 74.03/47.24 (((~v179(constB10)) | (~v159(constB10)) | v186(constB10)) <=> ((~v159(constB10)) | v186(constB10) | (~v179(constB10)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32907,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB10)) | (~v159(constB10)) | v186(constB10))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB10)) | v186(constB10) | (~v179(constB10))))),
% 74.03/47.24 inference(monotonicity,[status(thm)],[32906])).
% 74.03/47.24 tff(32908,plain,
% 74.03/47.24 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB10)) | (~v159(constB10)) | v186(constB10))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB10)) | v186(constB10) | (~v179(constB10)))),
% 74.03/47.24 inference(transitivity,[status(thm)],[32907, 32905])).
% 74.03/47.24 tff(32909,plain,
% 74.03/47.24 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB10)) | (~v159(constB10)) | v186(constB10))),
% 74.03/47.24 inference(quant_inst,[status(thm)],[])).
% 74.03/47.24 tff(32910,plain,
% 74.03/47.24 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB10)) | v186(constB10) | (~v179(constB10))),
% 74.03/47.24 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 74.03/47.24 tff(32911,plain,
% 74.03/47.24 ((~v159(constB10)) | v186(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32910, 12343, 32904])).
% 74.03/47.24 tff(32912,plain,
% 74.03/47.24 (~v159(constB10)),
% 74.03/47.24 inference(unit_resolution,[status(thm)],[32911, 32883])).
% 74.03/47.24 tff(32913,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32914,plain,
% 74.03/47.24 (((~nextState(constB10, constB11)) | v1(constB11) | (~v180(constB11))) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11)))),
% 74.03/47.24 inference(rewrite,[status(thm)],[])).
% 74.03/47.24 tff(32915,plain,
% 74.03/47.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB11) | (~v180(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11))))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[32914])).
% 74.03/47.25 tff(32916,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB11) | (~v180(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11)))),
% 74.03/47.25 inference(transitivity,[status(thm)],[32915, 32913])).
% 74.03/47.25 tff(32917,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB11) | (~v180(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32918,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v180(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 74.03/47.25 tff(32919,plain,
% 74.03/47.25 (~v180(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32918, 12367, 1873, 1870])).
% 74.03/47.25 tff(32920,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32921,plain,
% 74.03/47.25 (((~nextState(constB10, constB11)) | (~v179(constB11)) | v180(constB11)) <=> ((~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32922,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB10, constB11)) | (~v179(constB11)) | v180(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11))))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[32921])).
% 74.03/47.25 tff(32923,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB10, constB11)) | (~v179(constB11)) | v180(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11)))),
% 74.03/47.25 inference(transitivity,[status(thm)],[32922, 32920])).
% 74.03/47.25 tff(32924,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB10, constB11)) | (~v179(constB11)) | v180(constB11))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32925,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB10, constB11)) | v180(constB11) | (~v179(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 74.03/47.25 tff(32926,plain,
% 74.03/47.25 (v180(constB11) | (~v179(constB11))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32925, 12384, 1873])).
% 74.03/47.25 tff(32927,plain,
% 74.03/47.25 (~v179(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32926, 32919])).
% 74.03/47.25 tff(32928,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32929,plain,
% 74.03/47.25 (((~nextState(constB10, constB11)) | v179(constB11) | v159(constB10) | (~v159(constB11))) <=> (v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32930,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB10, constB11)) | v179(constB11) | v159(constB10) | (~v159(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11))))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[32929])).
% 74.03/47.25 tff(32931,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB10, constB11)) | v179(constB11) | v159(constB10) | (~v159(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11)))),
% 74.03/47.25 inference(transitivity,[status(thm)],[32930, 32928])).
% 74.03/47.25 tff(32932,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB10, constB11)) | v179(constB11) | v159(constB10) | (~v159(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32933,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB10) | (~nextState(constB10, constB11)) | v179(constB11) | (~v159(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 74.03/47.25 tff(32934,plain,
% 74.03/47.25 (v159(constB10) | v179(constB11) | (~v159(constB11))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32933, 12402, 1873])).
% 74.03/47.25 tff(32935,plain,
% 74.03/47.25 (v159(constB10) | (~v159(constB11))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32934, 32927])).
% 74.03/47.25 tff(32936,plain,
% 74.03/47.25 (~v159(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32935, 32912])).
% 74.03/47.25 tff(32937,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB11) | (~v201(constB11)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB11) | (~v201(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32938,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB11) | (~v201(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32939,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB11) | (~v201(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32938, 32937])).
% 74.03/47.25 tff(32940,plain,
% 74.03/47.25 (~v201(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32939, 12418, 32936])).
% 74.03/47.25 tff(32941,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB11) | (~v200(constB11)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB11) | (~v200(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32942,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB11) | (~v200(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32943,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB11) | (~v200(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 74.03/47.25 tff(32944,plain,
% 74.03/47.25 (~v200(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32943, 4401, 32940])).
% 74.03/47.25 tff(32945,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB11) | (~v198(constB11)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB11) | (~v198(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32946,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB11) | (~v198(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32947,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB11) | (~v198(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32946, 32945])).
% 74.03/47.25 tff(32948,plain,
% 74.03/47.25 (~v198(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32947, 4412, 32944])).
% 74.03/47.25 tff(32949,assumption,(v18(constB12)), introduced(assumption)).
% 74.03/47.25 tff(32950,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB12))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32951,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32950, 58, 32949])).
% 74.03/47.25 tff(32952,plain,(~v18(constB12)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(32953,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32954,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32955,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32954, 32953])).
% 74.03/47.25 tff(32956,plain,
% 74.03/47.25 (v22(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32955, 71, 2052])).
% 74.03/47.25 tff(32957,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB12)) | (~v22(constB12)) | v18(constB12))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB12)) | (~v22(constB12)) | v18(constB12))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32958,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB12)) | (~v22(constB12)) | v18(constB12))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32959,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB12)) | (~v22(constB12)) | v18(constB12)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32958, 32957])).
% 74.03/47.25 tff(32960,plain,
% 74.03/47.25 ((~v19(constB12)) | v18(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32959, 85, 32956])).
% 74.03/47.25 tff(32961,plain,
% 74.03/47.25 (~v19(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32960, 32952])).
% 74.03/47.25 tff(32962,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32963,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32964,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32963, 32962])).
% 74.03/47.25 tff(32965,plain,
% 74.03/47.25 (v13(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32964, 100, 32961])).
% 74.03/47.25 tff(32966,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32967,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32968,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32967, 32966])).
% 74.03/47.25 tff(32969,plain,
% 74.03/47.25 ((~v13(constB12)) | v9(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32968, 117, 2029])).
% 74.03/47.25 tff(32970,plain,
% 74.03/47.25 (v9(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32969, 32965])).
% 74.03/47.25 tff(32971,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v197(constB11))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB11) | (~v9(constB11)) | v197(constB11))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32972,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v197(constB11))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32973,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB11) | (~v9(constB11)) | v197(constB11)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 74.03/47.25 tff(32974,plain,
% 74.03/47.25 ((~v9(constB11)) | v197(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32973, 4454, 1870])).
% 74.03/47.25 tff(32975,plain,
% 74.03/47.25 (v197(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32974, 32970])).
% 74.03/47.25 tff(32976,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB11) | (~v197(constB11)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB11) | (~v197(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32977,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB11) | (~v197(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32978,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB11) | (~v197(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 74.03/47.25 tff(32979,plain,
% 74.03/47.25 (v196(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32978, 4466, 32975])).
% 74.03/47.25 tff(32980,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB11)) | (~v196(constB11)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB11)) | (~v196(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32981,plain,
% 74.03/47.25 (((~v196(constB11)) | (~v194(constB11))) <=> ((~v194(constB11)) | (~v196(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32982,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB11)) | (~v194(constB11)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB11)) | (~v196(constB11))))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[32981])).
% 74.03/47.25 tff(32983,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB11)) | (~v194(constB11)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB11)) | (~v196(constB11)))),
% 74.03/47.25 inference(transitivity,[status(thm)],[32982, 32980])).
% 74.03/47.25 tff(32984,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB11)) | (~v194(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32985,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB11)) | (~v196(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32984, 32983])).
% 74.03/47.25 tff(32986,plain,
% 74.03/47.25 (~v194(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32985, 4477, 32979])).
% 74.03/47.25 tff(32987,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB11) | v198(constB11) | (~v191(constB11)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB11) | v198(constB11) | (~v191(constB11)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32988,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB11) | v198(constB11) | (~v191(constB11)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32989,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB11) | v198(constB11) | (~v191(constB11))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32988, 32987])).
% 74.03/47.25 tff(32990,plain,
% 74.03/47.25 (v198(constB11) | (~v191(constB11))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32989, 4491, 32986])).
% 74.03/47.25 tff(32991,plain,
% 74.03/47.25 (~v191(constB11)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32990, 32948])).
% 74.03/47.25 tff(32992,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB11, constB12)) | v191(constB11) | (~v193(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB11, constB12)) | v191(constB11) | (~v193(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32993,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB11, constB12)) | v191(constB11) | (~v193(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32994,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB11, constB12)) | v191(constB11) | (~v193(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32993, 32992])).
% 74.03/47.25 tff(32995,plain,
% 74.03/47.25 (v191(constB11) | (~v193(constB12))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32994, 4506, 2029])).
% 74.03/47.25 tff(32996,plain,
% 74.03/47.25 (~v193(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32995, 32991])).
% 74.03/47.25 tff(32997,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB12) | (~v194(constB12)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB12) | (~v194(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(32998,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB12) | (~v194(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(32999,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB12) | (~v194(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[32998, 32997])).
% 74.03/47.25 tff(33000,plain,
% 74.03/47.25 (~v194(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[32999, 4518, 32996])).
% 74.03/47.25 tff(33001,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB12)) | (~v197(constB12)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB12)) | (~v197(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33002,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB12)) | (~v197(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33003,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB12)) | (~v197(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33002, 33001])).
% 74.03/47.25 tff(33004,plain,
% 74.03/47.25 (~v197(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33003, 4529, 2052])).
% 74.03/47.25 tff(33005,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB12) | (~v200(constB12)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB12) | (~v200(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33006,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB12) | (~v200(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33007,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB12) | (~v200(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33006, 33005])).
% 74.03/47.25 tff(33008,plain,
% 74.03/47.25 (~v200(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33007, 4540, 33004])).
% 74.03/47.25 tff(33009,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB12) | (~v198(constB12)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB12) | (~v198(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33010,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB12) | (~v198(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33011,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB12) | (~v198(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33010, 33009])).
% 74.03/47.25 tff(33012,plain,
% 74.03/47.25 (~v198(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33011, 4412, 33008])).
% 74.03/47.25 tff(33013,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB12) | v198(constB12) | (~v191(constB12)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB12) | v198(constB12) | (~v191(constB12)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33014,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB12) | v198(constB12) | (~v191(constB12)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33015,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB12) | v198(constB12) | (~v191(constB12))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33014, 33013])).
% 74.03/47.25 tff(33016,plain,
% 74.03/47.25 (v194(constB12) | (~v191(constB12))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33015, 4491, 33012])).
% 74.03/47.25 tff(33017,plain,
% 74.03/47.25 (~v191(constB12)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33016, 33000])).
% 74.03/47.25 tff(33018,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB12, constB13)) | v191(constB12) | (~v193(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB12, constB13)) | v191(constB12) | (~v193(constB13)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33019,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB12, constB13)) | v191(constB12) | (~v193(constB13)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33020,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB12, constB13)) | v191(constB12) | (~v193(constB13))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 74.03/47.25 tff(33021,plain,
% 74.03/47.25 (v191(constB12) | (~v193(constB13))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33020, 4506, 2107])).
% 74.03/47.25 tff(33022,plain,
% 74.03/47.25 (~v193(constB13)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33021, 33017])).
% 74.03/47.25 tff(33023,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33022, 32833])).
% 74.03/47.25 tff(33024,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(33025,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.25 tff(33026,plain,
% 74.03/47.25 (v1(constB46) <=> v1(sK0_VarCurr)),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33025])).
% 74.03/47.25 tff(33027,plain,
% 74.03/47.25 (v1(sK0_VarCurr) <=> v1(constB46)),
% 74.03/47.25 inference(symmetry,[status(thm)],[33026])).
% 74.03/47.25 tff(33028,plain,
% 74.03/47.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33027])).
% 74.03/47.25 tff(33029,plain,
% 74.03/47.25 (~v1(constB46)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[4604, 33028])).
% 74.03/47.25 tff(33030,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[6985, 33029])).
% 74.03/47.25 tff(33031,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(33032,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.25 tff(33033,plain,
% 74.03/47.25 (v1(constB42) <=> v1(sK0_VarCurr)),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33032])).
% 74.03/47.25 tff(33034,plain,
% 74.03/47.25 (v1(sK0_VarCurr) <=> v1(constB42)),
% 74.03/47.25 inference(symmetry,[status(thm)],[33033])).
% 74.03/47.25 tff(33035,plain,
% 74.03/47.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33034])).
% 74.03/47.25 tff(33036,plain,
% 74.03/47.25 (~v1(constB42)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[4604, 33035])).
% 74.03/47.25 tff(33037,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[6594, 33036])).
% 74.03/47.25 tff(33038,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(33039,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.25 tff(33040,plain,
% 74.03/47.25 (v193(constB117) <=> v193(sK0_VarCurr)),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33039])).
% 74.03/47.25 tff(33041,plain,
% 74.03/47.25 (v193(sK0_VarCurr) <=> v193(constB117)),
% 74.03/47.25 inference(symmetry,[status(thm)],[33040])).
% 74.03/47.25 tff(33042,plain,
% 74.03/47.25 (v193(constB117)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[17, 33041])).
% 74.03/47.25 tff(33043,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB115) | (~v201(constB115)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB115) | (~v201(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33044,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB115) | (~v201(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33045,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB115) | (~v201(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 74.03/47.25 tff(33046,plain,
% 74.03/47.25 (~v201(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33045, 4390, 31143])).
% 74.03/47.25 tff(33047,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | (~v200(constB115)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | (~v200(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33048,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | (~v200(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33049,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | (~v200(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33048, 33047])).
% 74.03/47.25 tff(33050,plain,
% 74.03/47.25 (~v200(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33049, 4401, 33046])).
% 74.03/47.25 tff(33051,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB115) | (~v198(constB115)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB115) | (~v198(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33052,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB115) | (~v198(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33053,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB115) | (~v198(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33052, 33051])).
% 74.03/47.25 tff(33054,plain,
% 74.03/47.25 (~v198(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33053, 4412, 33050])).
% 74.03/47.25 tff(33055,assumption,(v18(constB116)), introduced(assumption)).
% 74.03/47.25 tff(33056,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB116))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33057,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33056, 58, 33055])).
% 74.03/47.25 tff(33058,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(33059,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33060,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33061,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 74.03/47.25 tff(33062,plain,
% 74.03/47.25 (v22(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33061, 71, 18884])).
% 74.03/47.25 tff(33063,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33064,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33065,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 74.03/47.25 tff(33066,plain,
% 74.03/47.25 ((~v19(constB116)) | v18(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33065, 85, 33062])).
% 74.03/47.25 tff(33067,plain,
% 74.03/47.25 (~v19(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33066, 33058])).
% 74.03/47.25 tff(33068,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33069,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33070,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33069, 33068])).
% 74.03/47.25 tff(33071,plain,
% 74.03/47.25 (v13(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33070, 100, 33067])).
% 74.03/47.25 tff(33072,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33073,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33074,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33073, 33072])).
% 74.03/47.25 tff(33075,plain,
% 74.03/47.25 ((~v13(constB116)) | v9(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33074, 117, 18855])).
% 74.03/47.25 tff(33076,plain,
% 74.03/47.25 (v9(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33075, 33071])).
% 74.03/47.25 tff(33077,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v197(constB115))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB115) | (~v9(constB115)) | v197(constB115))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33078,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v197(constB115))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33079,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB115) | (~v9(constB115)) | v197(constB115)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33078, 33077])).
% 74.03/47.25 tff(33080,plain,
% 74.03/47.25 ((~v9(constB115)) | v197(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33079, 4454, 18707])).
% 74.03/47.25 tff(33081,plain,
% 74.03/47.25 (v197(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33080, 33076])).
% 74.03/47.25 tff(33082,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB115) | (~v197(constB115)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB115) | (~v197(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33083,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB115) | (~v197(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33084,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB115) | (~v197(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 74.03/47.25 tff(33085,plain,
% 74.03/47.25 (v196(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33084, 4466, 33081])).
% 74.03/47.25 tff(33086,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB115)) | (~v194(constB115)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB115)) | (~v194(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33087,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB115)) | (~v194(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33088,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB115)) | (~v194(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 74.03/47.25 tff(33089,plain,
% 74.03/47.25 (~v194(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33088, 4477, 33085])).
% 74.03/47.25 tff(33090,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB115) | v198(constB115) | (~v191(constB115)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB115) | v198(constB115) | (~v191(constB115)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33091,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB115) | v198(constB115) | (~v191(constB115)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33092,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB115) | v198(constB115) | (~v191(constB115))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 74.03/47.25 tff(33093,plain,
% 74.03/47.25 (v198(constB115) | (~v191(constB115))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33092, 4491, 33089])).
% 74.03/47.25 tff(33094,plain,
% 74.03/47.25 (~v191(constB115)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33093, 33054])).
% 74.03/47.25 tff(33095,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33096,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33097,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 74.03/47.25 tff(33098,plain,
% 74.03/47.25 (v191(constB115) | (~v193(constB116))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33097, 4506, 18855])).
% 74.03/47.25 tff(33099,plain,
% 74.03/47.25 (~v193(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33098, 33094])).
% 74.03/47.25 tff(33100,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB116) | (~v194(constB116)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB116) | (~v194(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33101,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB116) | (~v194(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33102,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB116) | (~v194(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 74.03/47.25 tff(33103,plain,
% 74.03/47.25 (~v194(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33102, 4518, 33099])).
% 74.03/47.25 tff(33104,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB116)) | (~v197(constB116)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB116)) | (~v197(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33105,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB116)) | (~v197(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33106,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB116)) | (~v197(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 74.03/47.25 tff(33107,plain,
% 74.03/47.25 (~v197(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33106, 4529, 18884])).
% 74.03/47.25 tff(33108,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB116) | (~v200(constB116)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB116) | (~v200(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33109,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB116) | (~v200(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33110,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB116) | (~v200(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 74.03/47.25 tff(33111,plain,
% 74.03/47.25 (~v200(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33110, 4540, 33107])).
% 74.03/47.25 tff(33112,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB116) | (~v198(constB116)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB116) | (~v198(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33113,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB116) | (~v198(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33114,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB116) | (~v198(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33113, 33112])).
% 74.03/47.25 tff(33115,plain,
% 74.03/47.25 (~v198(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33114, 4412, 33111])).
% 74.03/47.25 tff(33116,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB116) | v198(constB116) | (~v191(constB116)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB116) | v198(constB116) | (~v191(constB116)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33117,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB116) | v198(constB116) | (~v191(constB116)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33118,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB116) | v198(constB116) | (~v191(constB116))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 74.03/47.25 tff(33119,plain,
% 74.03/47.25 (v194(constB116) | (~v191(constB116))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33118, 4491, 33115])).
% 74.03/47.25 tff(33120,plain,
% 74.03/47.25 (~v191(constB116)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33119, 33103])).
% 74.03/47.25 tff(33121,plain,
% 74.03/47.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33122,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33123,plain,
% 74.03/47.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 74.03/47.25 tff(33124,plain,
% 74.03/47.25 (v191(constB116) | (~v193(constB117))),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33123, 4506, 18921])).
% 74.03/47.25 tff(33125,plain,
% 74.03/47.25 (~v193(constB117)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33124, 33120])).
% 74.03/47.25 tff(33126,plain,
% 74.03/47.25 ($false),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33125, 33042])).
% 74.03/47.25 tff(33127,plain,(~(constB117 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.25 tff(33128,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 74.03/47.25 tff(33129,plain,
% 74.03/47.25 (v193(constB21) <=> v193(sK0_VarCurr)),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33128])).
% 74.03/47.25 tff(33130,plain,
% 74.03/47.25 (v193(sK0_VarCurr) <=> v193(constB21)),
% 74.03/47.25 inference(symmetry,[status(thm)],[33129])).
% 74.03/47.25 tff(33131,plain,
% 74.03/47.25 (v193(constB21)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[17, 33130])).
% 74.03/47.25 tff(33132,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33133,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33134,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33133, 33132])).
% 74.03/47.25 tff(33135,plain,
% 74.03/47.25 (~v88(constB17, bitIndex2)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33134, 12119, 2542])).
% 74.03/47.25 tff(33136,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33137,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33138,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 74.03/47.25 tff(33139,plain,
% 74.03/47.25 (~v88(constB17, bitIndex1)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33138, 25107, 2579])).
% 74.03/47.25 tff(33140,plain,
% 74.03/47.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33141,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33142,plain,
% 74.03/47.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 74.03/47.25 tff(33143,plain,
% 74.03/47.25 (v88(constB17, bitIndex0)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33142, 12199, 2613])).
% 74.03/47.25 tff(33144,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33145,plain,
% 74.03/47.25 ((v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17)) <=> (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33146,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17)))),
% 74.03/47.25 inference(monotonicity,[status(thm)],[33145])).
% 74.03/47.25 tff(33147,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 74.03/47.25 inference(transitivity,[status(thm)],[33146, 33144])).
% 74.03/47.25 tff(33148,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33149,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17)),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33148, 33147])).
% 74.03/47.25 tff(33150,plain,
% 74.03/47.25 (v140(constB17)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33149, 25221, 33143, 33139, 33135])).
% 74.03/47.25 tff(33151,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB17) | (~v140(constB17)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB17) | (~v140(constB17)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33152,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB17) | (~v140(constB17)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33153,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB17) | (~v140(constB17))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 74.03/47.25 tff(33154,plain,
% 74.03/47.25 (v169(constB17)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33153, 25235, 33150])).
% 74.03/47.25 tff(33155,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB17) | (~v169(constB17)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB17) | (~v169(constB17)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33156,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB17) | (~v169(constB17)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33157,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB17) | (~v169(constB17))),
% 74.03/47.25 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 74.03/47.25 tff(33158,plain,
% 74.03/47.25 (v168(constB17)),
% 74.03/47.25 inference(unit_resolution,[status(thm)],[33157, 25246, 33154])).
% 74.03/47.25 tff(33159,plain,
% 74.03/47.25 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB17) | (~v168(constB17)))),
% 74.03/47.25 inference(rewrite,[status(thm)],[])).
% 74.03/47.25 tff(33160,plain,
% 74.03/47.25 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB17) | (~v168(constB17)))),
% 74.03/47.25 inference(quant_inst,[status(thm)],[])).
% 74.03/47.25 tff(33161,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB17) | (~v168(constB17))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33160, 33159])).
% 74.03/47.26 tff(33162,plain,
% 74.03/47.26 (v167(constB17)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33161, 12235, 33158])).
% 74.03/47.26 tff(33163,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33164,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33165,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33164, 33163])).
% 74.03/47.26 tff(33166,plain,
% 74.03/47.26 (~v170(constB17)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33165, 4351, 33162])).
% 74.03/47.26 tff(33167,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33168,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33169,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33168, 33167])).
% 74.03/47.26 tff(33170,plain,
% 74.03/47.26 (v166(constB17)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33169, 4362, 33162])).
% 74.03/47.26 tff(33171,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33172,plain,
% 74.03/47.26 (((~v166(constB17)) | v170(constB17) | (~v163(constB17))) <=> ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33173,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17)))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33172])).
% 74.03/47.26 tff(33174,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33173, 33171])).
% 74.03/47.26 tff(33175,plain,
% 74.03/47.26 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33176,plain,
% 74.03/47.26 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33175, 33174])).
% 74.03/47.26 tff(33177,plain,
% 74.03/47.26 (~v163(constB17)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33176, 4376, 33170, 33166])).
% 74.03/47.26 tff(33178,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33179,plain,
% 74.03/47.26 (((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18))) <=> (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33180,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33179])).
% 74.03/47.26 tff(33181,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33180, 33178])).
% 74.03/47.26 tff(33182,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33183,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 74.03/47.26 tff(33184,plain,
% 74.03/47.26 (v163(constB17) | (~v186(constB18))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33183, 12267, 107])).
% 74.03/47.26 tff(33185,plain,
% 74.03/47.26 (~v186(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33184, 33177])).
% 74.03/47.26 tff(33186,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33187,plain,
% 74.03/47.26 (((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18)) <=> ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33188,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33187])).
% 74.03/47.26 tff(33189,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33188, 33186])).
% 74.03/47.26 tff(33190,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33191,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33190, 33189])).
% 74.03/47.26 tff(33192,plain,
% 74.03/47.26 (v181(constB18) | v104(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33191, 12289, 107])).
% 74.03/47.26 tff(33193,plain,
% 74.03/47.26 (v181(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33192, 2668])).
% 74.03/47.26 tff(33194,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33195,plain,
% 74.03/47.26 (((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18))) <=> ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33196,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33195])).
% 74.03/47.26 tff(33197,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33196, 33194])).
% 74.03/47.26 tff(33198,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33199,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33198, 33197])).
% 74.03/47.26 tff(33200,plain,
% 74.03/47.26 (v180(constB18) | (~v181(constB18))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33199, 12310, 107, 64])).
% 74.03/47.26 tff(33201,plain,
% 74.03/47.26 (v180(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33200, 33193])).
% 74.03/47.26 tff(33202,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33203,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33204,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 74.03/47.26 tff(33205,plain,
% 74.03/47.26 (v179(constB18) | (~v180(constB18))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33204, 12328, 107])).
% 74.03/47.26 tff(33206,plain,
% 74.03/47.26 (v179(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33205, 33201])).
% 74.03/47.26 tff(33207,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB18)) | v186(constB18) | (~v179(constB18)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33208,plain,
% 74.03/47.26 (((~v179(constB18)) | (~v159(constB18)) | v186(constB18)) <=> ((~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33209,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB18)) | v186(constB18) | (~v179(constB18))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33208])).
% 74.03/47.26 tff(33210,plain,
% 74.03/47.26 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33209, 33207])).
% 74.03/47.26 tff(33211,plain,
% 74.03/47.26 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33212,plain,
% 74.03/47.26 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33211, 33210])).
% 74.03/47.26 tff(33213,plain,
% 74.03/47.26 ((~v159(constB18)) | v186(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33212, 12343, 33206])).
% 74.03/47.26 tff(33214,plain,
% 74.03/47.26 (~v159(constB18)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33213, 33185])).
% 74.03/47.26 tff(33215,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33216,plain,
% 74.03/47.26 (((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19))) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33217,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33216])).
% 74.03/47.26 tff(33218,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33217, 33215])).
% 74.03/47.26 tff(33219,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33220,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33219, 33218])).
% 74.03/47.26 tff(33221,plain,
% 74.03/47.26 (~v180(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33220, 12367, 2724, 2721])).
% 74.03/47.26 tff(33222,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33223,plain,
% 74.03/47.26 (((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19)) <=> ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33224,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33223])).
% 74.03/47.26 tff(33225,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33224, 33222])).
% 74.03/47.26 tff(33226,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33227,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 74.03/47.26 tff(33228,plain,
% 74.03/47.26 (v180(constB19) | (~v179(constB19))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33227, 12384, 2724])).
% 74.03/47.26 tff(33229,plain,
% 74.03/47.26 (~v179(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33228, 33221])).
% 74.03/47.26 tff(33230,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33231,plain,
% 74.03/47.26 (((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19))) <=> (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33232,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33231])).
% 74.03/47.26 tff(33233,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33232, 33230])).
% 74.03/47.26 tff(33234,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33235,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 74.03/47.26 tff(33236,plain,
% 74.03/47.26 (v159(constB18) | v179(constB19) | (~v159(constB19))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33235, 12402, 2724])).
% 74.03/47.26 tff(33237,plain,
% 74.03/47.26 (v159(constB18) | (~v159(constB19))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33236, 33229])).
% 74.03/47.26 tff(33238,plain,
% 74.03/47.26 (~v159(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33237, 33214])).
% 74.03/47.26 tff(33239,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33240,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33241,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 74.03/47.26 tff(33242,plain,
% 74.03/47.26 (~v201(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33241, 12418, 33238])).
% 74.03/47.26 tff(33243,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33244,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33245,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 74.03/47.26 tff(33246,plain,
% 74.03/47.26 (~v200(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33245, 4401, 33242])).
% 74.03/47.26 tff(33247,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33248,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33249,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 74.03/47.26 tff(33250,plain,
% 74.03/47.26 (~v198(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33249, 4412, 33246])).
% 74.03/47.26 tff(33251,assumption,(v18(constB20)), introduced(assumption)).
% 74.03/47.26 tff(33252,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB20))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33253,plain,
% 74.03/47.26 ($false),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33252, 58, 33251])).
% 74.03/47.26 tff(33254,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 74.03/47.26 tff(33255,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33256,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33257,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33256, 33255])).
% 74.03/47.26 tff(33258,plain,
% 74.03/47.26 (v22(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33257, 71, 2876])).
% 74.03/47.26 tff(33259,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33260,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33261,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33260, 33259])).
% 74.03/47.26 tff(33262,plain,
% 74.03/47.26 ((~v19(constB20)) | v18(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33261, 85, 33258])).
% 74.03/47.26 tff(33263,plain,
% 74.03/47.26 (~v19(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33262, 33254])).
% 74.03/47.26 tff(33264,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33265,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33266,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33265, 33264])).
% 74.03/47.26 tff(33267,plain,
% 74.03/47.26 (v13(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33266, 100, 33263])).
% 74.03/47.26 tff(33268,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33269,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33270,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 74.03/47.26 tff(33271,plain,
% 74.03/47.26 ((~v13(constB20)) | v9(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33270, 117, 2853])).
% 74.03/47.26 tff(33272,plain,
% 74.03/47.26 (v9(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33271, 33267])).
% 74.03/47.26 tff(33273,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33274,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33275,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19)),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 74.03/47.26 tff(33276,plain,
% 74.03/47.26 ((~v9(constB19)) | v197(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33275, 4454, 2721])).
% 74.03/47.26 tff(33277,plain,
% 74.03/47.26 (v197(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33276, 33272])).
% 74.03/47.26 tff(33278,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB19) | (~v197(constB19)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB19) | (~v197(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33279,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB19) | (~v197(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33280,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB19) | (~v197(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 74.03/47.26 tff(33281,plain,
% 74.03/47.26 (v196(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33280, 4466, 33277])).
% 74.03/47.26 tff(33282,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33283,plain,
% 74.03/47.26 (((~v196(constB19)) | (~v194(constB19))) <=> ((~v194(constB19)) | (~v196(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33284,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19))))),
% 74.03/47.26 inference(monotonicity,[status(thm)],[33283])).
% 74.03/47.26 tff(33285,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19)))),
% 74.03/47.26 inference(transitivity,[status(thm)],[33284, 33282])).
% 74.03/47.26 tff(33286,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33287,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33286, 33285])).
% 74.03/47.26 tff(33288,plain,
% 74.03/47.26 (~v194(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33287, 4477, 33281])).
% 74.03/47.26 tff(33289,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33290,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33291,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33290, 33289])).
% 74.03/47.26 tff(33292,plain,
% 74.03/47.26 (v198(constB19) | (~v191(constB19))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33291, 4491, 33288])).
% 74.03/47.26 tff(33293,plain,
% 74.03/47.26 (~v191(constB19)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33292, 33250])).
% 74.03/47.26 tff(33294,plain,
% 74.03/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33295,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33296,plain,
% 74.03/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33295, 33294])).
% 74.03/47.26 tff(33297,plain,
% 74.03/47.26 (v191(constB19) | (~v193(constB20))),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33296, 4506, 2853])).
% 74.03/47.26 tff(33298,plain,
% 74.03/47.26 (~v193(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33297, 33293])).
% 74.03/47.26 tff(33299,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33300,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33301,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 74.03/47.26 tff(33302,plain,
% 74.03/47.26 (~v194(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33301, 4518, 33298])).
% 74.03/47.26 tff(33303,plain,
% 74.03/47.26 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33304,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33305,plain,
% 74.03/47.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 74.03/47.26 tff(33306,plain,
% 74.03/47.26 (~v197(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33305, 4529, 2876])).
% 74.03/47.26 tff(33307,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33308,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33309,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33308, 33307])).
% 74.03/47.26 tff(33310,plain,
% 74.03/47.26 (~v200(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33309, 4540, 33306])).
% 74.03/47.26 tff(33311,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33312,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))),
% 74.03/47.26 inference(quant_inst,[status(thm)],[])).
% 74.03/47.26 tff(33313,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20))),
% 74.03/47.26 inference(modus_ponens,[status(thm)],[33312, 33311])).
% 74.03/47.26 tff(33314,plain,
% 74.03/47.26 (~v198(constB20)),
% 74.03/47.26 inference(unit_resolution,[status(thm)],[33313, 4412, 33310])).
% 74.03/47.26 tff(33315,plain,
% 74.03/47.26 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 74.03/47.26 inference(rewrite,[status(thm)],[])).
% 74.03/47.26 tff(33316,plain,
% 74.03/47.26 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33317,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33316, 33315])).
% 74.11/47.26 tff(33318,plain,
% 74.11/47.26 (v194(constB20) | (~v191(constB20))),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33317, 4491, 33314])).
% 74.11/47.26 tff(33319,plain,
% 74.11/47.26 (~v191(constB20)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33318, 33302])).
% 74.11/47.26 tff(33320,plain,
% 74.11/47.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33321,plain,
% 74.11/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33322,plain,
% 74.11/47.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33321, 33320])).
% 74.11/47.26 tff(33323,plain,
% 74.11/47.26 (v191(constB20) | (~v193(constB21))),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33322, 4506, 2924])).
% 74.11/47.26 tff(33324,plain,
% 74.11/47.26 (~v193(constB21)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33323, 33319])).
% 74.11/47.26 tff(33325,plain,
% 74.11/47.26 ($false),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33324, 33131])).
% 74.11/47.26 tff(33326,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.26 tff(33327,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 74.11/47.26 tff(33328,plain,
% 74.11/47.26 (v193(constB181) <=> v193(sK0_VarCurr)),
% 74.11/47.26 inference(monotonicity,[status(thm)],[33327])).
% 74.11/47.26 tff(33329,plain,
% 74.11/47.26 (v193(sK0_VarCurr) <=> v193(constB181)),
% 74.11/47.26 inference(symmetry,[status(thm)],[33328])).
% 74.11/47.26 tff(33330,plain,
% 74.11/47.26 (v193(constB181)),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[17, 33329])).
% 74.11/47.26 tff(33331,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB177, bitIndex2) | (~v88(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB177, bitIndex2) | (~v88(constB177, bitIndex2)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33332,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB177, bitIndex2) | (~v88(constB177, bitIndex2)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33333,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB177, bitIndex2) | (~v88(constB177, bitIndex2))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 74.11/47.26 tff(33334,plain,
% 74.11/47.26 (~v88(constB177, bitIndex2)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33333, 12119, 26574])).
% 74.11/47.26 tff(33335,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33336,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33337,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 74.11/47.26 tff(33338,plain,
% 74.11/47.26 (~v88(constB177, bitIndex1)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33337, 25107, 26611])).
% 74.11/47.26 tff(33339,plain,
% 74.11/47.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB177, bitIndex0)) | v88(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB177, bitIndex0)) | v88(constB177, bitIndex0))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33340,plain,
% 74.11/47.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB177, bitIndex0)) | v88(constB177, bitIndex0))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33341,plain,
% 74.11/47.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB177, bitIndex0)) | v88(constB177, bitIndex0)),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 74.11/47.26 tff(33342,plain,
% 74.11/47.26 (v88(constB177, bitIndex0)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33341, 12199, 26645])).
% 74.11/47.26 tff(33343,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)) | v140(constB177))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)) | v140(constB177))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33344,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)) | v140(constB177))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33345,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)) | v140(constB177)),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 74.11/47.26 tff(33346,plain,
% 74.11/47.26 (v140(constB177)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33345, 25221, 33342, 33338, 33334])).
% 74.11/47.26 tff(33347,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB177) | (~v140(constB177)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB177) | (~v140(constB177)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33348,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB177) | (~v140(constB177)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33349,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB177) | (~v140(constB177))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 74.11/47.26 tff(33350,plain,
% 74.11/47.26 (v169(constB177)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33349, 25235, 33346])).
% 74.11/47.26 tff(33351,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB177) | (~v169(constB177)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB177) | (~v169(constB177)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33352,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB177) | (~v169(constB177)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33353,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB177) | (~v169(constB177))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 74.11/47.26 tff(33354,plain,
% 74.11/47.26 (v168(constB177)),
% 74.11/47.26 inference(unit_resolution,[status(thm)],[33353, 25246, 33350])).
% 74.11/47.26 tff(33355,plain,
% 74.11/47.26 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB177) | (~v168(constB177)))),
% 74.11/47.26 inference(rewrite,[status(thm)],[])).
% 74.11/47.26 tff(33356,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB177) | (~v168(constB177)))),
% 74.11/47.26 inference(quant_inst,[status(thm)],[])).
% 74.11/47.26 tff(33357,plain,
% 74.11/47.26 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB177) | (~v168(constB177))),
% 74.11/47.26 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 74.11/47.26 tff(33358,plain,
% 74.11/47.26 (v167(constB177)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33357, 12235, 33354])).
% 74.11/47.27 tff(33359,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB177)) | (~v170(constB177)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB177)) | (~v170(constB177)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33360,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB177)) | (~v170(constB177)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33361,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB177)) | (~v170(constB177))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 74.11/47.27 tff(33362,plain,
% 74.11/47.27 (~v170(constB177)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33361, 4351, 33358])).
% 74.11/47.27 tff(33363,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB177) | (~v167(constB177)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB177) | (~v167(constB177)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33364,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB177) | (~v167(constB177)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33365,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB177) | (~v167(constB177))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33364, 33363])).
% 74.11/47.27 tff(33366,plain,
% 74.11/47.27 (v166(constB177)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33365, 4362, 33358])).
% 74.11/47.27 tff(33367,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB177)) | (~v166(constB177)) | v170(constB177))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB177)) | (~v166(constB177)) | v170(constB177))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33368,plain,
% 74.11/47.27 (((~v166(constB177)) | v170(constB177) | (~v163(constB177))) <=> ((~v163(constB177)) | (~v166(constB177)) | v170(constB177))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33369,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB177)) | v170(constB177) | (~v163(constB177)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB177)) | (~v166(constB177)) | v170(constB177)))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33368])).
% 74.11/47.27 tff(33370,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB177)) | v170(constB177) | (~v163(constB177)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB177)) | (~v166(constB177)) | v170(constB177))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33369, 33367])).
% 74.11/47.27 tff(33371,plain,
% 74.11/47.27 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB177)) | v170(constB177) | (~v163(constB177)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33372,plain,
% 74.11/47.27 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB177)) | (~v166(constB177)) | v170(constB177)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33371, 33370])).
% 74.11/47.27 tff(33373,plain,
% 74.11/47.27 (~v163(constB177)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33372, 4376, 33366, 33362])).
% 74.11/47.27 tff(33374,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33375,plain,
% 74.11/47.27 (((~nextState(constB177, constB178)) | v163(constB177) | (~v186(constB178))) <=> (v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33376,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB177, constB178)) | v163(constB177) | (~v186(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33375])).
% 74.11/47.27 tff(33377,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB177, constB178)) | v163(constB177) | (~v186(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33376, 33374])).
% 74.11/47.27 tff(33378,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB177, constB178)) | v163(constB177) | (~v186(constB178)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33379,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB177) | (~nextState(constB177, constB178)) | (~v186(constB178))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 74.11/47.27 tff(33380,plain,
% 74.11/47.27 (v163(constB177) | (~v186(constB178))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33379, 12267, 26692])).
% 74.11/47.27 tff(33381,plain,
% 74.11/47.27 (~v186(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33380, 33373])).
% 74.11/47.27 tff(33382,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB177, constB178)) | v181(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB177, constB178)) | v181(constB178) | v104(constB178))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33383,plain,
% 74.11/47.27 (((~nextState(constB177, constB178)) | v104(constB178) | v181(constB178)) <=> ((~nextState(constB177, constB178)) | v181(constB178) | v104(constB178))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33384,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v181(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB177, constB178)) | v181(constB178) | v104(constB178)))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33383])).
% 74.11/47.27 tff(33385,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v181(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB177, constB178)) | v181(constB178) | v104(constB178))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33384, 33382])).
% 74.11/47.27 tff(33386,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v181(constB178))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33387,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB177, constB178)) | v181(constB178) | v104(constB178)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33386, 33385])).
% 74.11/47.27 tff(33388,plain,
% 74.11/47.27 (v181(constB178) | v104(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33387, 12289, 26692])).
% 74.11/47.27 tff(33389,plain,
% 74.11/47.27 (v181(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33388, 26704])).
% 74.11/47.27 tff(33390,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33391,plain,
% 74.11/47.27 (((~nextState(constB177, constB178)) | (~v1(constB178)) | v180(constB178) | (~v181(constB178))) <=> ((~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33392,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v180(constB178) | (~v181(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33391])).
% 74.11/47.27 tff(33393,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v180(constB178) | (~v181(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33392, 33390])).
% 74.11/47.27 tff(33394,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v180(constB178) | (~v181(constB178)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33395,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB177, constB178)) | v180(constB178) | (~v1(constB178)) | (~v181(constB178))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33394, 33393])).
% 74.11/47.27 tff(33396,plain,
% 74.11/47.27 (v180(constB178) | (~v181(constB178))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33395, 12310, 26692, 26715])).
% 74.11/47.27 tff(33397,plain,
% 74.11/47.27 (v180(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33396, 33389])).
% 74.11/47.27 tff(33398,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v179(constB178) | (~v180(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v179(constB178) | (~v180(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33399,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v179(constB178) | (~v180(constB178)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33400,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v179(constB178) | (~v180(constB178))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33399, 33398])).
% 74.11/47.27 tff(33401,plain,
% 74.11/47.27 (v179(constB178) | (~v180(constB178))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33400, 12328, 26692])).
% 74.11/47.27 tff(33402,plain,
% 74.11/47.27 (v179(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33401, 33397])).
% 74.11/47.27 tff(33403,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB178)) | v186(constB178) | (~v179(constB178)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB178)) | v186(constB178) | (~v179(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33404,plain,
% 74.11/47.27 (((~v179(constB178)) | (~v159(constB178)) | v186(constB178)) <=> ((~v159(constB178)) | v186(constB178) | (~v179(constB178)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33405,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB178)) | (~v159(constB178)) | v186(constB178))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB178)) | v186(constB178) | (~v179(constB178))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33404])).
% 74.11/47.27 tff(33406,plain,
% 74.11/47.27 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB178)) | (~v159(constB178)) | v186(constB178))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB178)) | v186(constB178) | (~v179(constB178)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33405, 33403])).
% 74.11/47.27 tff(33407,plain,
% 74.11/47.27 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB178)) | (~v159(constB178)) | v186(constB178))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33408,plain,
% 74.11/47.27 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB178)) | v186(constB178) | (~v179(constB178))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 74.11/47.27 tff(33409,plain,
% 74.11/47.27 ((~v159(constB178)) | v186(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33408, 12343, 33402])).
% 74.11/47.27 tff(33410,plain,
% 74.11/47.27 (~v159(constB178)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33409, 33381])).
% 74.11/47.27 tff(33411,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33412,plain,
% 74.11/47.27 (((~nextState(constB178, constB179)) | v1(constB179) | (~v180(constB179))) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33413,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v1(constB179) | (~v180(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33412])).
% 74.11/47.27 tff(33414,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v1(constB179) | (~v180(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33413, 33411])).
% 74.11/47.27 tff(33415,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v1(constB179) | (~v180(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33416,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v180(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33415, 33414])).
% 74.11/47.27 tff(33417,plain,
% 74.11/47.27 (~v180(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33416, 12367, 26763, 26760])).
% 74.11/47.27 tff(33418,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33419,plain,
% 74.11/47.27 (((~nextState(constB178, constB179)) | (~v179(constB179)) | v180(constB179)) <=> ((~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33420,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB178, constB179)) | (~v179(constB179)) | v180(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33419])).
% 74.11/47.27 tff(33421,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB178, constB179)) | (~v179(constB179)) | v180(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33420, 33418])).
% 74.11/47.27 tff(33422,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB178, constB179)) | (~v179(constB179)) | v180(constB179))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33423,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB178, constB179)) | v180(constB179) | (~v179(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33422, 33421])).
% 74.11/47.27 tff(33424,plain,
% 74.11/47.27 (v180(constB179) | (~v179(constB179))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33423, 12384, 26763])).
% 74.11/47.27 tff(33425,plain,
% 74.11/47.27 (~v179(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33424, 33417])).
% 74.11/47.27 tff(33426,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33427,plain,
% 74.11/47.27 (((~nextState(constB178, constB179)) | v179(constB179) | v159(constB178) | (~v159(constB179))) <=> (v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33428,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB178, constB179)) | v179(constB179) | v159(constB178) | (~v159(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33427])).
% 74.11/47.27 tff(33429,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB178, constB179)) | v179(constB179) | v159(constB178) | (~v159(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33428, 33426])).
% 74.11/47.27 tff(33430,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB178, constB179)) | v179(constB179) | v159(constB178) | (~v159(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33431,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB178) | (~nextState(constB178, constB179)) | v179(constB179) | (~v159(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 74.11/47.27 tff(33432,plain,
% 74.11/47.27 (v159(constB178) | v179(constB179) | (~v159(constB179))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33431, 12402, 26763])).
% 74.11/47.27 tff(33433,plain,
% 74.11/47.27 (v159(constB178) | (~v159(constB179))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33432, 33425])).
% 74.11/47.27 tff(33434,plain,
% 74.11/47.27 (~v159(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33433, 33410])).
% 74.11/47.27 tff(33435,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB179) | (~v201(constB179)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB179) | (~v201(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33436,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB179) | (~v201(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33437,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB179) | (~v201(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33436, 33435])).
% 74.11/47.27 tff(33438,plain,
% 74.11/47.27 (~v201(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33437, 12418, 33434])).
% 74.11/47.27 tff(33439,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB179) | (~v200(constB179)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB179) | (~v200(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33440,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB179) | (~v200(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33441,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB179) | (~v200(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33440, 33439])).
% 74.11/47.27 tff(33442,plain,
% 74.11/47.27 (~v200(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33441, 4401, 33438])).
% 74.11/47.27 tff(33443,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB179) | (~v198(constB179)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB179) | (~v198(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33444,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB179) | (~v198(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33445,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB179) | (~v198(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 74.11/47.27 tff(33446,plain,
% 74.11/47.27 (~v198(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33445, 4412, 33442])).
% 74.11/47.27 tff(33447,assumption,(v18(constB180)), introduced(assumption)).
% 74.11/47.27 tff(33448,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB180))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33449,plain,
% 74.11/47.27 ($false),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33448, 58, 33447])).
% 74.11/47.27 tff(33450,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.27 tff(33451,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33452,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33453,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 74.11/47.27 tff(33454,plain,
% 74.11/47.27 (v22(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33453, 71, 26915])).
% 74.11/47.27 tff(33455,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33456,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33457,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 74.11/47.27 tff(33458,plain,
% 74.11/47.27 ((~v19(constB180)) | v18(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33457, 85, 33454])).
% 74.11/47.27 tff(33459,plain,
% 74.11/47.27 (~v19(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33458, 33450])).
% 74.11/47.27 tff(33460,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33461,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33462,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33461, 33460])).
% 74.11/47.27 tff(33463,plain,
% 74.11/47.27 (v13(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33462, 100, 33459])).
% 74.11/47.27 tff(33464,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33465,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33466,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33465, 33464])).
% 74.11/47.27 tff(33467,plain,
% 74.11/47.27 ((~v13(constB180)) | v9(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33466, 117, 26892])).
% 74.11/47.27 tff(33468,plain,
% 74.11/47.27 (v9(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33467, 33463])).
% 74.11/47.27 tff(33469,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v197(constB179))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB179) | (~v9(constB179)) | v197(constB179))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33470,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v197(constB179))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33471,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB179) | (~v9(constB179)) | v197(constB179)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33470, 33469])).
% 74.11/47.27 tff(33472,plain,
% 74.11/47.27 ((~v9(constB179)) | v197(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33471, 4454, 26760])).
% 74.11/47.27 tff(33473,plain,
% 74.11/47.27 (v197(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33472, 33468])).
% 74.11/47.27 tff(33474,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB179) | (~v197(constB179)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB179) | (~v197(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33475,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB179) | (~v197(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33476,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB179) | (~v197(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33475, 33474])).
% 74.11/47.27 tff(33477,plain,
% 74.11/47.27 (v196(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33476, 4466, 33473])).
% 74.11/47.27 tff(33478,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB179)) | (~v196(constB179)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB179)) | (~v196(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33479,plain,
% 74.11/47.27 (((~v196(constB179)) | (~v194(constB179))) <=> ((~v194(constB179)) | (~v196(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33480,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB179)) | (~v194(constB179)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB179)) | (~v196(constB179))))),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33479])).
% 74.11/47.27 tff(33481,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB179)) | (~v194(constB179)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB179)) | (~v196(constB179)))),
% 74.11/47.27 inference(transitivity,[status(thm)],[33480, 33478])).
% 74.11/47.27 tff(33482,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB179)) | (~v194(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33483,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB179)) | (~v196(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 74.11/47.27 tff(33484,plain,
% 74.11/47.27 (~v194(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33483, 4477, 33477])).
% 74.11/47.27 tff(33485,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB179) | v198(constB179) | (~v191(constB179)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB179) | v198(constB179) | (~v191(constB179)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33486,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB179) | v198(constB179) | (~v191(constB179)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33487,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB179) | v198(constB179) | (~v191(constB179))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33486, 33485])).
% 74.11/47.27 tff(33488,plain,
% 74.11/47.27 (v198(constB179) | (~v191(constB179))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33487, 4491, 33484])).
% 74.11/47.27 tff(33489,plain,
% 74.11/47.27 (~v191(constB179)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33488, 33446])).
% 74.11/47.27 tff(33490,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB179, constB180)) | v191(constB179) | (~v193(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB179, constB180)) | v191(constB179) | (~v193(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33491,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB179, constB180)) | v191(constB179) | (~v193(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33492,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB179, constB180)) | v191(constB179) | (~v193(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33491, 33490])).
% 74.11/47.27 tff(33493,plain,
% 74.11/47.27 (v191(constB179) | (~v193(constB180))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33492, 4506, 26892])).
% 74.11/47.27 tff(33494,plain,
% 74.11/47.27 (~v193(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33493, 33489])).
% 74.11/47.27 tff(33495,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB180) | (~v194(constB180)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB180) | (~v194(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33496,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB180) | (~v194(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33497,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB180) | (~v194(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 74.11/47.27 tff(33498,plain,
% 74.11/47.27 (~v194(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33497, 4518, 33494])).
% 74.11/47.27 tff(33499,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB180)) | (~v197(constB180)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB180)) | (~v197(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33500,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB180)) | (~v197(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33501,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB180)) | (~v197(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33500, 33499])).
% 74.11/47.27 tff(33502,plain,
% 74.11/47.27 (~v197(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33501, 4529, 26915])).
% 74.11/47.27 tff(33503,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB180) | (~v200(constB180)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB180) | (~v200(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33504,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB180) | (~v200(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33505,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB180) | (~v200(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33504, 33503])).
% 74.11/47.27 tff(33506,plain,
% 74.11/47.27 (~v200(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33505, 4540, 33502])).
% 74.11/47.27 tff(33507,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB180) | (~v198(constB180)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB180) | (~v198(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33508,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB180) | (~v198(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33509,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB180) | (~v198(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33508, 33507])).
% 74.11/47.27 tff(33510,plain,
% 74.11/47.27 (~v198(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33509, 4412, 33506])).
% 74.11/47.27 tff(33511,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB180) | v198(constB180) | (~v191(constB180)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB180) | v198(constB180) | (~v191(constB180)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33512,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB180) | v198(constB180) | (~v191(constB180)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33513,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB180) | v198(constB180) | (~v191(constB180))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33512, 33511])).
% 74.11/47.27 tff(33514,plain,
% 74.11/47.27 (v194(constB180) | (~v191(constB180))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33513, 4491, 33510])).
% 74.11/47.27 tff(33515,plain,
% 74.11/47.27 (~v191(constB180)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33514, 33498])).
% 74.11/47.27 tff(33516,plain,
% 74.11/47.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB180, constB181)) | v191(constB180) | (~v193(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB180, constB181)) | v191(constB180) | (~v193(constB181)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33517,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB180, constB181)) | v191(constB180) | (~v193(constB181)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33518,plain,
% 74.11/47.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB180, constB181)) | v191(constB180) | (~v193(constB181))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 74.11/47.27 tff(33519,plain,
% 74.11/47.27 (v191(constB180) | (~v193(constB181))),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33518, 4506, 26963])).
% 74.11/47.27 tff(33520,plain,
% 74.11/47.27 (~v193(constB181)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33519, 33515])).
% 74.11/47.27 tff(33521,plain,
% 74.11/47.27 ($false),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33520, 33330])).
% 74.11/47.27 tff(33522,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.27 tff(33523,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 74.11/47.27 tff(33524,plain,
% 74.11/47.27 (v193(constB129) <=> v193(sK0_VarCurr)),
% 74.11/47.27 inference(monotonicity,[status(thm)],[33523])).
% 74.11/47.27 tff(33525,plain,
% 74.11/47.27 (v193(sK0_VarCurr) <=> v193(constB129)),
% 74.11/47.27 inference(symmetry,[status(thm)],[33524])).
% 74.11/47.27 tff(33526,plain,
% 74.11/47.27 (v193(constB129)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[17, 33525])).
% 74.11/47.27 tff(33527,plain,
% 74.11/47.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33528,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33529,plain,
% 74.11/47.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0))),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33528, 33527])).
% 74.11/47.27 tff(33530,plain,
% 74.11/47.27 (~v88(constB125, bitIndex0)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33529, 4274, 20014])).
% 74.11/47.27 tff(33531,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33532,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33533,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 74.11/47.27 tff(33534,plain,
% 74.11/47.27 (v88(constB125, bitIndex2)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33533, 4229, 19941])).
% 74.11/47.27 tff(33535,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33536,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 74.11/47.27 inference(quant_inst,[status(thm)],[])).
% 74.11/47.27 tff(33537,plain,
% 74.11/47.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 74.11/47.27 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 74.11/47.27 tff(33538,plain,
% 74.11/47.27 (v88(constB125, bitIndex1)),
% 74.11/47.27 inference(unit_resolution,[status(thm)],[33537, 4297, 19972])).
% 74.11/47.27 tff(33539,plain,
% 74.11/47.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33540,plain,
% 74.11/47.27 (((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125)) <=> (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 74.11/47.27 inference(rewrite,[status(thm)],[])).
% 74.11/47.27 tff(33541,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33540])).
% 74.11/47.28 tff(33542,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33541, 33539])).
% 74.11/47.28 tff(33543,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33544,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33543, 33542])).
% 74.11/47.28 tff(33545,plain,
% 74.11/47.28 (v144(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33544, 4311, 33538, 33534, 33530])).
% 74.11/47.28 tff(33546,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB125) | (~v144(constB125)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB125) | (~v144(constB125)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33547,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB125) | (~v144(constB125)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33548,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB125) | (~v144(constB125))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 74.11/47.28 tff(33549,plain,
% 74.11/47.28 (v142(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33548, 4326, 33545])).
% 74.11/47.28 tff(33550,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB125) | (~v142(constB125)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33551,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB125) | (~v142(constB125)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33552,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB125) | (~v142(constB125))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33551, 33550])).
% 74.11/47.28 tff(33553,plain,
% 74.11/47.28 (v167(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33552, 4337, 33549])).
% 74.11/47.28 tff(33554,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33555,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33556,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33555, 33554])).
% 74.11/47.28 tff(33557,plain,
% 74.11/47.28 (~v170(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33556, 4351, 33553])).
% 74.11/47.28 tff(33558,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33559,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33560,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33559, 33558])).
% 74.11/47.28 tff(33561,plain,
% 74.11/47.28 (v166(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33560, 4362, 33553])).
% 74.11/47.28 tff(33562,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33563,plain,
% 74.11/47.28 (((~v166(constB125)) | v170(constB125) | (~v163(constB125))) <=> ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33564,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125)))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33563])).
% 74.11/47.28 tff(33565,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33564, 33562])).
% 74.11/47.28 tff(33566,plain,
% 74.11/47.28 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33567,plain,
% 74.11/47.28 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33566, 33565])).
% 74.11/47.28 tff(33568,plain,
% 74.11/47.28 (~v163(constB125)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33567, 4376, 33561, 33557])).
% 74.11/47.28 tff(33569,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33570,plain,
% 74.11/47.28 (((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126))) <=> (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33571,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33570])).
% 74.11/47.28 tff(33572,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33571, 33569])).
% 74.11/47.28 tff(33573,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33574,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 74.11/47.28 tff(33575,plain,
% 74.11/47.28 (v163(constB125) | (~v186(constB126))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33574, 12267, 20041])).
% 74.11/47.28 tff(33576,plain,
% 74.11/47.28 (~v186(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33575, 33568])).
% 74.11/47.28 tff(33577,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33578,plain,
% 74.11/47.28 (((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126)) <=> ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33579,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33578])).
% 74.11/47.28 tff(33580,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33579, 33577])).
% 74.11/47.28 tff(33581,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33582,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33581, 33580])).
% 74.11/47.28 tff(33583,plain,
% 74.11/47.28 (v181(constB126) | v104(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33582, 12289, 20041])).
% 74.11/47.28 tff(33584,plain,
% 74.11/47.28 (v181(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33583, 20053])).
% 74.11/47.28 tff(33585,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33586,plain,
% 74.11/47.28 (((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126))) <=> ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33587,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33586])).
% 74.11/47.28 tff(33588,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33587, 33585])).
% 74.11/47.28 tff(33589,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33590,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 74.11/47.28 tff(33591,plain,
% 74.11/47.28 (v180(constB126) | (~v181(constB126))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33590, 12310, 20041, 20064])).
% 74.11/47.28 tff(33592,plain,
% 74.11/47.28 (v180(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33591, 33584])).
% 74.11/47.28 tff(33593,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33594,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33595,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33594, 33593])).
% 74.11/47.28 tff(33596,plain,
% 74.11/47.28 (v179(constB126) | (~v180(constB126))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33595, 12328, 20041])).
% 74.11/47.28 tff(33597,plain,
% 74.11/47.28 (v179(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33596, 33592])).
% 74.11/47.28 tff(33598,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB126)) | v186(constB126) | (~v179(constB126)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33599,plain,
% 74.11/47.28 (((~v179(constB126)) | (~v159(constB126)) | v186(constB126)) <=> ((~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33600,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB126)) | v186(constB126) | (~v179(constB126))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33599])).
% 74.11/47.28 tff(33601,plain,
% 74.11/47.28 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33600, 33598])).
% 74.11/47.28 tff(33602,plain,
% 74.11/47.28 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33603,plain,
% 74.11/47.28 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33602, 33601])).
% 74.11/47.28 tff(33604,plain,
% 74.11/47.28 ((~v159(constB126)) | v186(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33603, 12343, 33597])).
% 74.11/47.28 tff(33605,plain,
% 74.11/47.28 (~v159(constB126)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33604, 33576])).
% 74.11/47.28 tff(33606,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33607,plain,
% 74.11/47.28 (((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127))) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33608,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33607])).
% 74.11/47.28 tff(33609,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33608, 33606])).
% 74.11/47.28 tff(33610,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33611,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 74.11/47.28 tff(33612,plain,
% 74.11/47.28 (~v180(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33611, 12367, 20428, 20425])).
% 74.11/47.28 tff(33613,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33614,plain,
% 74.11/47.28 (((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127)) <=> ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33615,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33614])).
% 74.11/47.28 tff(33616,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33615, 33613])).
% 74.11/47.28 tff(33617,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33618,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 74.11/47.28 tff(33619,plain,
% 74.11/47.28 (v180(constB127) | (~v179(constB127))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33618, 12384, 20428])).
% 74.11/47.28 tff(33620,plain,
% 74.11/47.28 (~v179(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33619, 33612])).
% 74.11/47.28 tff(33621,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33622,plain,
% 74.11/47.28 (((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127))) <=> (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33623,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33622])).
% 74.11/47.28 tff(33624,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33623, 33621])).
% 74.11/47.28 tff(33625,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33626,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33625, 33624])).
% 74.11/47.28 tff(33627,plain,
% 74.11/47.28 (v159(constB126) | v179(constB127) | (~v159(constB127))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33626, 12402, 20428])).
% 74.11/47.28 tff(33628,plain,
% 74.11/47.28 (v159(constB126) | (~v159(constB127))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33627, 33620])).
% 74.11/47.28 tff(33629,plain,
% 74.11/47.28 (~v159(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33628, 33605])).
% 74.11/47.28 tff(33630,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB127) | (~v201(constB127)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB127) | (~v201(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33631,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB127) | (~v201(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33632,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB127) | (~v201(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 74.11/47.28 tff(33633,plain,
% 74.11/47.28 (~v201(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33632, 12418, 33629])).
% 74.11/47.28 tff(33634,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB127) | (~v200(constB127)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB127) | (~v200(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33635,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB127) | (~v200(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33636,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB127) | (~v200(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 74.11/47.28 tff(33637,plain,
% 74.11/47.28 (~v200(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33636, 4401, 33633])).
% 74.11/47.28 tff(33638,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB127) | (~v198(constB127)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB127) | (~v198(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33639,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB127) | (~v198(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33640,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB127) | (~v198(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33639, 33638])).
% 74.11/47.28 tff(33641,plain,
% 74.11/47.28 (~v198(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33640, 4412, 33637])).
% 74.11/47.28 tff(33642,assumption,(v18(constB128)), introduced(assumption)).
% 74.11/47.28 tff(33643,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB128))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33644,plain,
% 74.11/47.28 ($false),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33643, 58, 33642])).
% 74.11/47.28 tff(33645,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.28 tff(33646,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33647,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33648,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 74.11/47.28 tff(33649,plain,
% 74.11/47.28 (v22(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33648, 71, 20576])).
% 74.11/47.28 tff(33650,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB128)) | (~v22(constB128)) | v18(constB128))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB128)) | (~v22(constB128)) | v18(constB128))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33651,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB128)) | (~v22(constB128)) | v18(constB128))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33652,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB128)) | (~v22(constB128)) | v18(constB128)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 74.11/47.28 tff(33653,plain,
% 74.11/47.28 ((~v19(constB128)) | v18(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33652, 85, 33649])).
% 74.11/47.28 tff(33654,plain,
% 74.11/47.28 (~v19(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33653, 33645])).
% 74.11/47.28 tff(33655,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33656,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33657,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33656, 33655])).
% 74.11/47.28 tff(33658,plain,
% 74.11/47.28 (v13(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33657, 100, 33654])).
% 74.11/47.28 tff(33659,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33660,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33661,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33660, 33659])).
% 74.11/47.28 tff(33662,plain,
% 74.11/47.28 ((~v13(constB128)) | v9(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33661, 117, 20546])).
% 74.11/47.28 tff(33663,plain,
% 74.11/47.28 (v9(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33662, 33658])).
% 74.11/47.28 tff(33664,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v197(constB127))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB127) | (~v9(constB127)) | v197(constB127))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33665,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v197(constB127))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33666,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB127) | (~v9(constB127)) | v197(constB127)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33665, 33664])).
% 74.11/47.28 tff(33667,plain,
% 74.11/47.28 ((~v9(constB127)) | v197(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33666, 4454, 20425])).
% 74.11/47.28 tff(33668,plain,
% 74.11/47.28 (v197(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33667, 33663])).
% 74.11/47.28 tff(33669,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB127) | (~v197(constB127)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB127) | (~v197(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33670,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB127) | (~v197(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33671,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB127) | (~v197(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33670, 33669])).
% 74.11/47.28 tff(33672,plain,
% 74.11/47.28 (v196(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33671, 4466, 33668])).
% 74.11/47.28 tff(33673,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB127)) | (~v196(constB127)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB127)) | (~v196(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33674,plain,
% 74.11/47.28 (((~v196(constB127)) | (~v194(constB127))) <=> ((~v194(constB127)) | (~v196(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33675,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB127)) | (~v194(constB127)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB127)) | (~v196(constB127))))),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33674])).
% 74.11/47.28 tff(33676,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB127)) | (~v194(constB127)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB127)) | (~v196(constB127)))),
% 74.11/47.28 inference(transitivity,[status(thm)],[33675, 33673])).
% 74.11/47.28 tff(33677,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB127)) | (~v194(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33678,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB127)) | (~v196(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 74.11/47.28 tff(33679,plain,
% 74.11/47.28 (~v194(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33678, 4477, 33672])).
% 74.11/47.28 tff(33680,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB127) | v198(constB127) | (~v191(constB127)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB127) | v198(constB127) | (~v191(constB127)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33681,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB127) | v198(constB127) | (~v191(constB127)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33682,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB127) | v198(constB127) | (~v191(constB127))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 74.11/47.28 tff(33683,plain,
% 74.11/47.28 (v198(constB127) | (~v191(constB127))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33682, 4491, 33679])).
% 74.11/47.28 tff(33684,plain,
% 74.11/47.28 (~v191(constB127)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33683, 33641])).
% 74.11/47.28 tff(33685,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB127, constB128)) | v191(constB127) | (~v193(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB127, constB128)) | v191(constB127) | (~v193(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33686,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB127, constB128)) | v191(constB127) | (~v193(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33687,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB127, constB128)) | v191(constB127) | (~v193(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 74.11/47.28 tff(33688,plain,
% 74.11/47.28 (v191(constB127) | (~v193(constB128))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33687, 4506, 20546])).
% 74.11/47.28 tff(33689,plain,
% 74.11/47.28 (~v193(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33688, 33684])).
% 74.11/47.28 tff(33690,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB128) | (~v194(constB128)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB128) | (~v194(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33691,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB128) | (~v194(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33692,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB128) | (~v194(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33691, 33690])).
% 74.11/47.28 tff(33693,plain,
% 74.11/47.28 (~v194(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33692, 4518, 33689])).
% 74.11/47.28 tff(33694,plain,
% 74.11/47.28 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB128)) | (~v197(constB128)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB128)) | (~v197(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33695,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB128)) | (~v197(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33696,plain,
% 74.11/47.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB128)) | (~v197(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 74.11/47.28 tff(33697,plain,
% 74.11/47.28 (~v197(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33696, 4529, 20576])).
% 74.11/47.28 tff(33698,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB128) | (~v200(constB128)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB128) | (~v200(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33699,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB128) | (~v200(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33700,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB128) | (~v200(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 74.11/47.28 tff(33701,plain,
% 74.11/47.28 (~v200(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33700, 4540, 33697])).
% 74.11/47.28 tff(33702,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB128) | (~v198(constB128)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB128) | (~v198(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33703,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB128) | (~v198(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33704,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB128) | (~v198(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 74.11/47.28 tff(33705,plain,
% 74.11/47.28 (~v198(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33704, 4412, 33701])).
% 74.11/47.28 tff(33706,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB128) | v198(constB128) | (~v191(constB128)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB128) | v198(constB128) | (~v191(constB128)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33707,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB128) | v198(constB128) | (~v191(constB128)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33708,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB128) | v198(constB128) | (~v191(constB128))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33707, 33706])).
% 74.11/47.28 tff(33709,plain,
% 74.11/47.28 (v194(constB128) | (~v191(constB128))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33708, 4491, 33705])).
% 74.11/47.28 tff(33710,plain,
% 74.11/47.28 (~v191(constB128)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33709, 33693])).
% 74.11/47.28 tff(33711,plain,
% 74.11/47.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB128, constB129)) | v191(constB128) | (~v193(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB128, constB129)) | v191(constB128) | (~v193(constB129)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33712,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB128, constB129)) | v191(constB128) | (~v193(constB129)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33713,plain,
% 74.11/47.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB128, constB129)) | v191(constB128) | (~v193(constB129))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 74.11/47.28 tff(33714,plain,
% 74.11/47.28 (v191(constB128) | (~v193(constB129))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33713, 4506, 20832])).
% 74.11/47.28 tff(33715,plain,
% 74.11/47.28 (~v193(constB129)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33714, 33710])).
% 74.11/47.28 tff(33716,plain,
% 74.11/47.28 ($false),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33715, 33526])).
% 74.11/47.28 tff(33717,plain,(~(constB129 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.28 tff(33718,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 74.11/47.28 tff(33719,plain,
% 74.11/47.28 (v193(constB81) <=> v193(sK0_VarCurr)),
% 74.11/47.28 inference(monotonicity,[status(thm)],[33718])).
% 74.11/47.28 tff(33720,plain,
% 74.11/47.28 (v193(sK0_VarCurr) <=> v193(constB81)),
% 74.11/47.28 inference(symmetry,[status(thm)],[33719])).
% 74.11/47.28 tff(33721,plain,
% 74.11/47.28 (v193(constB81)),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[17, 33720])).
% 74.11/47.28 tff(33722,plain,
% 74.11/47.28 (v125(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12908, 1101, 29690, 12822, 29700])).
% 74.11/47.28 tff(33723,plain,
% 74.11/47.28 (v113(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12912, 1112, 33722])).
% 74.11/47.28 tff(33724,plain,
% 74.11/47.28 (v112(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12924, 33723])).
% 74.11/47.28 tff(33725,plain,
% 74.11/47.28 (v108(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12928, 475, 33724])).
% 74.11/47.28 tff(33726,plain,
% 74.11/47.28 (v110(constB76)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12939, 33725])).
% 74.11/47.28 tff(33727,plain,
% 74.11/47.28 (v100(constB76)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12971, 33726])).
% 74.11/47.28 tff(33728,plain,
% 74.11/47.28 (~v122(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12991, 1193, 29700])).
% 74.11/47.28 tff(33729,plain,
% 74.11/47.28 (~v119(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12979, 1207, 12822])).
% 74.11/47.28 tff(33730,plain,
% 74.11/47.28 (~v120(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12983, 1240, 12822])).
% 74.11/47.28 tff(33731,plain,
% 74.11/47.28 (~v121(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12987, 1182, 29700])).
% 74.11/47.28 tff(33732,plain,
% 74.11/47.28 (~v124(constB75)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12975, 1229, 12822])).
% 74.11/47.28 tff(33733,plain,
% 74.11/47.28 (~v130(constB75, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[12999, 1254, 33732, 12826, 33731, 33730, 33729, 33728])).
% 74.11/47.28 tff(33734,plain,
% 74.11/47.28 (~v127(constB75, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13008, 33733])).
% 74.11/47.28 tff(33735,plain,
% 74.11/47.28 (~v129(constB76, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13013, 33734])).
% 74.11/47.28 tff(33736,plain,
% 74.11/47.28 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13020, 1304, 33735])).
% 74.11/47.28 tff(33737,plain,
% 74.11/47.28 (~v90(constB76, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33736, 33727])).
% 74.11/47.28 tff(33738,plain,
% 74.11/47.28 (~v90(constB77, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13048, 33737])).
% 74.11/47.28 tff(33739,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33740,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33741,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33740, 33739])).
% 74.11/47.28 tff(33742,plain,
% 74.11/47.28 (~v88(constB77, bitIndex2)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33741, 12119, 33738])).
% 74.11/47.28 tff(33743,plain,
% 74.11/47.28 (~v130(constB75, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13090, 1349, 33732, 12826, 33731, 33730, 33729, 33728])).
% 74.11/47.28 tff(33744,plain,
% 74.11/47.28 (~v127(constB75, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13099, 33743])).
% 74.11/47.28 tff(33745,plain,
% 74.11/47.28 (~v129(constB76, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13104, 33744])).
% 74.11/47.28 tff(33746,plain,
% 74.11/47.28 ((~v90(constB76, bitIndex1)) | (~v100(constB76))),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13111, 728, 33745])).
% 74.11/47.28 tff(33747,plain,
% 74.11/47.28 (~v90(constB76, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33746, 33727])).
% 74.11/47.28 tff(33748,plain,
% 74.11/47.28 (~v90(constB77, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[13121, 33747])).
% 74.11/47.28 tff(33749,plain,
% 74.11/47.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB77, bitIndex1) | (~v88(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB77, bitIndex1) | (~v88(constB77, bitIndex1)))),
% 74.11/47.28 inference(rewrite,[status(thm)],[])).
% 74.11/47.28 tff(33750,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB77, bitIndex1) | (~v88(constB77, bitIndex1)))),
% 74.11/47.28 inference(quant_inst,[status(thm)],[])).
% 74.11/47.28 tff(33751,plain,
% 74.11/47.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB77, bitIndex1) | (~v88(constB77, bitIndex1))),
% 74.11/47.28 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 74.11/47.28 tff(33752,plain,
% 74.11/47.28 (~v88(constB77, bitIndex1)),
% 74.11/47.28 inference(unit_resolution,[status(thm)],[33751, 25107, 33748])).
% 74.11/47.29 tff(33753,plain,
% 74.11/47.29 (v130(constB75, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[13055, 1396, 33732, 12826, 33731, 33730, 33729, 33728])).
% 74.11/47.29 tff(33754,plain,
% 74.11/47.29 (v127(constB75, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[13061, 33753])).
% 74.11/47.29 tff(33755,plain,
% 74.11/47.29 (v129(constB76, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[13066, 33754])).
% 74.11/47.29 tff(33756,plain,
% 74.11/47.29 (v90(constB76, bitIndex0) | (~v100(constB76))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[13073, 1443, 33755])).
% 74.11/47.29 tff(33757,plain,
% 74.11/47.29 (v90(constB76, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33756, 33727])).
% 74.11/47.29 tff(33758,plain,
% 74.11/47.29 (v90(constB77, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[13083, 33757])).
% 74.11/47.29 tff(33759,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB77, bitIndex0)) | v88(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB77, bitIndex0)) | v88(constB77, bitIndex0))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33760,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB77, bitIndex0)) | v88(constB77, bitIndex0))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33761,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB77, bitIndex0)) | v88(constB77, bitIndex0)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33760, 33759])).
% 74.11/47.29 tff(33762,plain,
% 74.11/47.29 (v88(constB77, bitIndex0)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33761, 12199, 33758])).
% 74.11/47.29 tff(33763,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33764,plain,
% 74.11/47.29 ((v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)) | v140(constB77)) <=> ((~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33765,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)) | v140(constB77))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77)))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33764])).
% 74.11/47.29 tff(33766,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)) | v140(constB77))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33765, 33763])).
% 74.11/47.29 tff(33767,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)) | v140(constB77))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33768,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB77, bitIndex0)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | v140(constB77)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 74.11/47.29 tff(33769,plain,
% 74.11/47.29 (v140(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33768, 25221, 33762, 33752, 33742])).
% 74.11/47.29 tff(33770,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB77) | (~v140(constB77)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB77) | (~v140(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33771,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB77) | (~v140(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33772,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB77) | (~v140(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33771, 33770])).
% 74.11/47.29 tff(33773,plain,
% 74.11/47.29 (v169(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33772, 25235, 33769])).
% 74.11/47.29 tff(33774,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB77) | (~v169(constB77)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB77) | (~v169(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33775,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB77) | (~v169(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33776,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB77) | (~v169(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 74.11/47.29 tff(33777,plain,
% 74.11/47.29 (v168(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33776, 25246, 33773])).
% 74.11/47.29 tff(33778,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB77) | (~v168(constB77)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB77) | (~v168(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33779,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB77) | (~v168(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33780,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB77) | (~v168(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33779, 33778])).
% 74.11/47.29 tff(33781,plain,
% 74.11/47.29 (v167(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33780, 12235, 33777])).
% 74.11/47.29 tff(33782,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB77)) | (~v170(constB77)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB77)) | (~v170(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33783,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB77)) | (~v170(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33784,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB77)) | (~v170(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33783, 33782])).
% 74.11/47.29 tff(33785,plain,
% 74.11/47.29 (~v170(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33784, 4351, 33781])).
% 74.11/47.29 tff(33786,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB77) | (~v167(constB77)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB77) | (~v167(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33787,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB77) | (~v167(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33788,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB77) | (~v167(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33787, 33786])).
% 74.11/47.29 tff(33789,plain,
% 74.11/47.29 (v166(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33788, 4362, 33781])).
% 74.11/47.29 tff(33790,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB77)) | v170(constB77) | (~v166(constB77)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33791,plain,
% 74.11/47.29 (((~v166(constB77)) | v170(constB77) | (~v163(constB77))) <=> ((~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33792,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB77)) | v170(constB77) | (~v166(constB77))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33791])).
% 74.11/47.29 tff(33793,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33792, 33790])).
% 74.11/47.29 tff(33794,plain,
% 74.11/47.29 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33795,plain,
% 74.11/47.29 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33794, 33793])).
% 74.11/47.29 tff(33796,plain,
% 74.11/47.29 (~v163(constB77)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33795, 4376, 33789, 33785])).
% 74.11/47.29 tff(33797,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33798,plain,
% 74.11/47.29 (((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78))) <=> (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33799,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33798])).
% 74.11/47.29 tff(33800,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33799, 33797])).
% 74.11/47.29 tff(33801,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33802,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 74.11/47.29 tff(33803,plain,
% 74.11/47.29 (v163(constB77) | (~v186(constB78))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33802, 12267, 13176])).
% 74.11/47.29 tff(33804,plain,
% 74.11/47.29 (~v186(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33803, 33796])).
% 74.11/47.29 tff(33805,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33806,plain,
% 74.11/47.29 (((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78)) <=> ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33807,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78)))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33806])).
% 74.11/47.29 tff(33808,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33807, 33805])).
% 74.11/47.29 tff(33809,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33810,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 74.11/47.29 tff(33811,plain,
% 74.11/47.29 (v181(constB78) | v104(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33810, 12289, 13176])).
% 74.11/47.29 tff(33812,plain,
% 74.11/47.29 (v181(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33811, 13188])).
% 74.11/47.29 tff(33813,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33814,plain,
% 74.11/47.29 (((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78))) <=> ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33815,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33814])).
% 74.11/47.29 tff(33816,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33815, 33813])).
% 74.11/47.29 tff(33817,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33818,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 74.11/47.29 tff(33819,plain,
% 74.11/47.29 (v180(constB78) | (~v181(constB78))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33818, 12310, 13176, 13199])).
% 74.11/47.29 tff(33820,plain,
% 74.11/47.29 (v180(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33819, 33812])).
% 74.11/47.29 tff(33821,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33822,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33823,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33822, 33821])).
% 74.11/47.29 tff(33824,plain,
% 74.11/47.29 (v179(constB78) | (~v180(constB78))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33823, 12328, 13176])).
% 74.11/47.29 tff(33825,plain,
% 74.11/47.29 (v179(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33824, 33820])).
% 74.11/47.29 tff(33826,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB78)) | v186(constB78) | (~v179(constB78)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB78)) | v186(constB78) | (~v179(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33827,plain,
% 74.11/47.29 (((~v179(constB78)) | (~v159(constB78)) | v186(constB78)) <=> ((~v159(constB78)) | v186(constB78) | (~v179(constB78)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33828,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB78)) | (~v159(constB78)) | v186(constB78))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB78)) | v186(constB78) | (~v179(constB78))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33827])).
% 74.11/47.29 tff(33829,plain,
% 74.11/47.29 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB78)) | (~v159(constB78)) | v186(constB78))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB78)) | v186(constB78) | (~v179(constB78)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33828, 33826])).
% 74.11/47.29 tff(33830,plain,
% 74.11/47.29 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB78)) | (~v159(constB78)) | v186(constB78))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33831,plain,
% 74.11/47.29 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB78)) | v186(constB78) | (~v179(constB78))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33830, 33829])).
% 74.11/47.29 tff(33832,plain,
% 74.11/47.29 ((~v159(constB78)) | v186(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33831, 12343, 33825])).
% 74.11/47.29 tff(33833,plain,
% 74.11/47.29 (~v159(constB78)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33832, 33804])).
% 74.11/47.29 tff(33834,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33835,plain,
% 74.11/47.29 (((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79))) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33836,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33835])).
% 74.11/47.29 tff(33837,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33836, 33834])).
% 74.11/47.29 tff(33838,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33839,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 74.11/47.29 tff(33840,plain,
% 74.11/47.29 (~v180(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33839, 12367, 13247, 13244])).
% 74.11/47.29 tff(33841,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33842,plain,
% 74.11/47.29 (((~nextState(constB78, constB79)) | (~v179(constB79)) | v180(constB79)) <=> ((~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33843,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB78, constB79)) | (~v179(constB79)) | v180(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33842])).
% 74.11/47.29 tff(33844,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB78, constB79)) | (~v179(constB79)) | v180(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33843, 33841])).
% 74.11/47.29 tff(33845,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB78, constB79)) | (~v179(constB79)) | v180(constB79))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33846,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33845, 33844])).
% 74.11/47.29 tff(33847,plain,
% 74.11/47.29 (v180(constB79) | (~v179(constB79))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33846, 12384, 13247])).
% 74.11/47.29 tff(33848,plain,
% 74.11/47.29 (~v179(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33847, 33840])).
% 74.11/47.29 tff(33849,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33850,plain,
% 74.11/47.29 (((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79))) <=> (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33851,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33850])).
% 74.11/47.29 tff(33852,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33851, 33849])).
% 74.11/47.29 tff(33853,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33854,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 74.11/47.29 tff(33855,plain,
% 74.11/47.29 (v159(constB78) | v179(constB79) | (~v159(constB79))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33854, 12402, 13247])).
% 74.11/47.29 tff(33856,plain,
% 74.11/47.29 (v159(constB78) | (~v159(constB79))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33855, 33848])).
% 74.11/47.29 tff(33857,plain,
% 74.11/47.29 (~v159(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33856, 33833])).
% 74.11/47.29 tff(33858,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB79) | (~v201(constB79)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB79) | (~v201(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33859,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB79) | (~v201(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33860,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB79) | (~v201(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33859, 33858])).
% 74.11/47.29 tff(33861,plain,
% 74.11/47.29 (~v201(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33860, 12418, 33857])).
% 74.11/47.29 tff(33862,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB79) | (~v200(constB79)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB79) | (~v200(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33863,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB79) | (~v200(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33864,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB79) | (~v200(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33863, 33862])).
% 74.11/47.29 tff(33865,plain,
% 74.11/47.29 (~v200(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33864, 4401, 33861])).
% 74.11/47.29 tff(33866,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB79) | (~v198(constB79)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB79) | (~v198(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33867,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB79) | (~v198(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33868,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB79) | (~v198(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33867, 33866])).
% 74.11/47.29 tff(33869,plain,
% 74.11/47.29 (~v198(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33868, 4412, 33865])).
% 74.11/47.29 tff(33870,assumption,(v18(constB80)), introduced(assumption)).
% 74.11/47.29 tff(33871,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB80))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33872,plain,
% 74.11/47.29 ($false),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33871, 58, 33870])).
% 74.11/47.29 tff(33873,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 74.11/47.29 tff(33874,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33875,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33876,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33875, 33874])).
% 74.11/47.29 tff(33877,plain,
% 74.11/47.29 (v22(constB80)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33876, 71, 13401])).
% 74.11/47.29 tff(33878,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB80)) | (~v22(constB80)) | v18(constB80))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB80)) | (~v22(constB80)) | v18(constB80))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33879,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB80)) | (~v22(constB80)) | v18(constB80))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33880,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB80)) | (~v22(constB80)) | v18(constB80)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33879, 33878])).
% 74.11/47.29 tff(33881,plain,
% 74.11/47.29 ((~v19(constB80)) | v18(constB80)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33880, 85, 33877])).
% 74.11/47.29 tff(33882,plain,
% 74.11/47.29 (~v19(constB80)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33881, 33873])).
% 74.11/47.29 tff(33883,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33884,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33885,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 74.11/47.29 tff(33886,plain,
% 74.11/47.29 (v13(constB80)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33885, 100, 33882])).
% 74.11/47.29 tff(33887,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33888,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33889,plain,
% 74.11/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33888, 33887])).
% 74.11/47.29 tff(33890,plain,
% 74.11/47.29 ((~v13(constB80)) | v9(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33889, 117, 13378])).
% 74.11/47.29 tff(33891,plain,
% 74.11/47.29 (v9(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33890, 33886])).
% 74.11/47.29 tff(33892,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v197(constB79))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB79) | (~v9(constB79)) | v197(constB79))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33893,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v197(constB79))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33894,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB79) | (~v9(constB79)) | v197(constB79)),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33893, 33892])).
% 74.11/47.29 tff(33895,plain,
% 74.11/47.29 ((~v9(constB79)) | v197(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33894, 4454, 13244])).
% 74.11/47.29 tff(33896,plain,
% 74.11/47.29 (v197(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33895, 33891])).
% 74.11/47.29 tff(33897,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB79) | (~v197(constB79)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB79) | (~v197(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33898,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB79) | (~v197(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33899,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB79) | (~v197(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 74.11/47.29 tff(33900,plain,
% 74.11/47.29 (v196(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33899, 4466, 33896])).
% 74.11/47.29 tff(33901,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB79)) | (~v196(constB79)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB79)) | (~v196(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33902,plain,
% 74.11/47.29 (((~v196(constB79)) | (~v194(constB79))) <=> ((~v194(constB79)) | (~v196(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33903,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB79)) | (~v194(constB79)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB79)) | (~v196(constB79))))),
% 74.11/47.29 inference(monotonicity,[status(thm)],[33902])).
% 74.11/47.29 tff(33904,plain,
% 74.11/47.29 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB79)) | (~v194(constB79)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB79)) | (~v196(constB79)))),
% 74.11/47.29 inference(transitivity,[status(thm)],[33903, 33901])).
% 74.11/47.29 tff(33905,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB79)) | (~v194(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33906,plain,
% 74.11/47.29 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB79)) | (~v196(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 74.11/47.29 tff(33907,plain,
% 74.11/47.29 (~v194(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33906, 4477, 33900])).
% 74.11/47.29 tff(33908,plain,
% 74.11/47.29 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB79) | v198(constB79) | (~v191(constB79)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB79) | v198(constB79) | (~v191(constB79)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33909,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB79) | v198(constB79) | (~v191(constB79)))),
% 74.11/47.29 inference(quant_inst,[status(thm)],[])).
% 74.11/47.29 tff(33910,plain,
% 74.11/47.29 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB79) | v198(constB79) | (~v191(constB79))),
% 74.11/47.29 inference(modus_ponens,[status(thm)],[33909, 33908])).
% 74.11/47.29 tff(33911,plain,
% 74.11/47.29 (v198(constB79) | (~v191(constB79))),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33910, 4491, 33907])).
% 74.11/47.29 tff(33912,plain,
% 74.11/47.29 (~v191(constB79)),
% 74.11/47.29 inference(unit_resolution,[status(thm)],[33911, 33869])).
% 74.11/47.29 tff(33913,plain,
% 74.11/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))),
% 74.11/47.29 inference(rewrite,[status(thm)],[])).
% 74.11/47.29 tff(33914,plain,
% 74.14/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33915,plain,
% 74.14/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33914, 33913])).
% 74.14/47.29 tff(33916,plain,
% 74.14/47.29 (v191(constB79) | (~v193(constB80))),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33915, 4506, 13378])).
% 74.14/47.29 tff(33917,plain,
% 74.14/47.29 (~v193(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33916, 33912])).
% 74.14/47.29 tff(33918,plain,
% 74.14/47.29 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB80) | (~v194(constB80)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB80) | (~v194(constB80)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33919,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB80) | (~v194(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33920,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB80) | (~v194(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 74.14/47.29 tff(33921,plain,
% 74.14/47.29 (~v194(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33920, 4518, 33917])).
% 74.14/47.29 tff(33922,plain,
% 74.14/47.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB80)) | (~v197(constB80)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB80)) | (~v197(constB80)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33923,plain,
% 74.14/47.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB80)) | (~v197(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33924,plain,
% 74.14/47.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB80)) | (~v197(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 74.14/47.29 tff(33925,plain,
% 74.14/47.29 (~v197(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33924, 4529, 13401])).
% 74.14/47.29 tff(33926,plain,
% 74.14/47.29 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB80) | (~v200(constB80)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB80) | (~v200(constB80)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33927,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB80) | (~v200(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33928,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB80) | (~v200(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33927, 33926])).
% 74.14/47.29 tff(33929,plain,
% 74.14/47.29 (~v200(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33928, 4540, 33925])).
% 74.14/47.29 tff(33930,plain,
% 74.14/47.29 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB80) | (~v198(constB80)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB80) | (~v198(constB80)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33931,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB80) | (~v198(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33932,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB80) | (~v198(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33931, 33930])).
% 74.14/47.29 tff(33933,plain,
% 74.14/47.29 (~v198(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33932, 4412, 33929])).
% 74.14/47.29 tff(33934,plain,
% 74.14/47.29 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB80) | v198(constB80) | (~v191(constB80)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB80) | v198(constB80) | (~v191(constB80)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33935,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB80) | v198(constB80) | (~v191(constB80)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33936,plain,
% 74.14/47.29 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB80) | v198(constB80) | (~v191(constB80))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33935, 33934])).
% 74.14/47.29 tff(33937,plain,
% 74.14/47.29 (v194(constB80) | (~v191(constB80))),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33936, 4491, 33933])).
% 74.14/47.29 tff(33938,plain,
% 74.14/47.29 (~v191(constB80)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33937, 33921])).
% 74.14/47.29 tff(33939,plain,
% 74.14/47.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))),
% 74.14/47.29 inference(rewrite,[status(thm)],[])).
% 74.14/47.29 tff(33940,plain,
% 74.14/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))),
% 74.14/47.29 inference(quant_inst,[status(thm)],[])).
% 74.14/47.29 tff(33941,plain,
% 74.14/47.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81))),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 74.14/47.29 tff(33942,plain,
% 74.14/47.29 (v191(constB80) | (~v193(constB81))),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33941, 4506, 13557])).
% 74.14/47.29 tff(33943,plain,
% 74.14/47.29 (~v193(constB81)),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33942, 33938])).
% 74.14/47.29 tff(33944,plain,
% 74.14/47.29 ($false),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[33943, 33721])).
% 74.14/47.29 tff(33945,plain,(~(constB81 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.29 tff(33946,assumption,(constB182 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.29 tff(33947,plain,
% 74.14/47.29 (v1(constB182) <=> v1(sK0_VarCurr)),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33946])).
% 74.14/47.29 tff(33948,plain,
% 74.14/47.29 (v1(sK0_VarCurr) <=> v1(constB182)),
% 74.14/47.29 inference(symmetry,[status(thm)],[33947])).
% 74.14/47.29 tff(33949,plain,
% 74.14/47.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB182))),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33948])).
% 74.14/47.29 tff(33950,plain,
% 74.14/47.29 (~v1(constB182)),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[4604, 33949])).
% 74.14/47.29 tff(33951,plain,
% 74.14/47.29 ($false),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[27105, 33950])).
% 74.14/47.29 tff(33952,plain,(~(constB182 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.29 tff(33953,assumption,(constB8 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.29 tff(33954,plain,
% 74.14/47.29 (v1(constB8) <=> v1(sK0_VarCurr)),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33953])).
% 74.14/47.29 tff(33955,plain,
% 74.14/47.29 (v1(sK0_VarCurr) <=> v1(constB8)),
% 74.14/47.29 inference(symmetry,[status(thm)],[33954])).
% 74.14/47.29 tff(33956,plain,
% 74.14/47.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB8))),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33955])).
% 74.14/47.29 tff(33957,plain,
% 74.14/47.29 (~v1(constB8)),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[4604, 33956])).
% 74.14/47.29 tff(33958,plain,
% 74.14/47.29 ($false),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[1560, 33957])).
% 74.14/47.29 tff(33959,plain,(~(constB8 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.29 tff(33960,assumption,(constB22 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.29 tff(33961,plain,
% 74.14/47.29 (v1(constB22) <=> v1(sK0_VarCurr)),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33960])).
% 74.14/47.29 tff(33962,plain,
% 74.14/47.29 (v1(sK0_VarCurr) <=> v1(constB22)),
% 74.14/47.29 inference(symmetry,[status(thm)],[33961])).
% 74.14/47.29 tff(33963,plain,
% 74.14/47.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB22))),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33962])).
% 74.14/47.29 tff(33964,plain,
% 74.14/47.29 (~v1(constB22)),
% 74.14/47.29 inference(modus_ponens,[status(thm)],[4604, 33963])).
% 74.14/47.29 tff(33965,plain,
% 74.14/47.29 ($false),
% 74.14/47.29 inference(unit_resolution,[status(thm)],[3069, 33964])).
% 74.14/47.29 tff(33966,plain,(~(constB22 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.29 tff(33967,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.29 tff(33968,plain,
% 74.14/47.29 (v1(constB106) <=> v1(sK0_VarCurr)),
% 74.14/47.29 inference(monotonicity,[status(thm)],[33967])).
% 74.14/47.29 tff(33969,plain,
% 74.14/47.29 (v1(sK0_VarCurr) <=> v1(constB106)),
% 74.14/47.29 inference(symmetry,[status(thm)],[33968])).
% 74.14/47.29 tff(33970,plain,
% 74.14/47.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[33969])).
% 74.14/47.30 tff(33971,plain,
% 74.14/47.30 (~v1(constB106)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[4604, 33970])).
% 74.14/47.30 tff(33972,plain,
% 74.14/47.30 ($false),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[17829, 33971])).
% 74.14/47.30 tff(33973,plain,(~(constB106 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.30 tff(33974,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.30 tff(33975,plain,
% 74.14/47.30 (v193(constB31) <=> v193(sK0_VarCurr)),
% 74.14/47.30 inference(monotonicity,[status(thm)],[33974])).
% 74.14/47.30 tff(33976,plain,
% 74.14/47.30 (v193(sK0_VarCurr) <=> v193(constB31)),
% 74.14/47.30 inference(symmetry,[status(thm)],[33975])).
% 74.14/47.30 tff(33977,plain,
% 74.14/47.30 (v193(constB31)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[17, 33976])).
% 74.14/47.30 tff(33978,plain,
% 74.14/47.30 (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4673, 1101, 4287])).
% 74.14/47.30 tff(33979,plain,
% 74.14/47.30 (v125(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[33978, 4219, 4267])).
% 74.14/47.30 tff(33980,plain,
% 74.14/47.30 (v113(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4677, 1112, 33979])).
% 74.14/47.30 tff(33981,plain,
% 74.14/47.30 (v112(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4689, 33980])).
% 74.14/47.30 tff(33982,plain,
% 74.14/47.30 (v108(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4693, 475, 33981])).
% 74.14/47.30 tff(33983,plain,
% 74.14/47.30 (v110(constB26)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4701, 33982])).
% 74.14/47.30 tff(33984,plain,
% 74.14/47.30 (v100(constB26)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4730, 33983])).
% 74.14/47.30 tff(33985,plain,
% 74.14/47.30 (~v122(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4652, 1193, 4219])).
% 74.14/47.30 tff(33986,plain,
% 74.14/47.30 (~v121(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4647, 1182, 4219])).
% 74.14/47.30 tff(33987,plain,
% 74.14/47.30 (~v120(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4741, 1240, 4287])).
% 74.14/47.30 tff(33988,plain,
% 74.14/47.30 (~v124(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4735, 1229, 4287])).
% 74.14/47.30 tff(33989,plain,
% 74.14/47.30 (~v119(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4662, 1207, 4287])).
% 74.14/47.30 tff(33990,plain,
% 74.14/47.30 ((~v130(constB25, bitIndex2)) | v121(constB25) | v122(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4851, 1254, 33989, 4630, 33988, 33987])).
% 74.14/47.30 tff(33991,plain,
% 74.14/47.30 (~v130(constB25, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[33990, 33986, 33985])).
% 74.14/47.30 tff(33992,plain,
% 74.14/47.30 (~v127(constB25, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4860, 33991])).
% 74.14/47.30 tff(33993,plain,
% 74.14/47.30 (~v129(constB26, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4865, 33992])).
% 74.14/47.30 tff(33994,plain,
% 74.14/47.30 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4872, 1304, 33993])).
% 74.14/47.30 tff(33995,plain,
% 74.14/47.30 (~v90(constB26, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[33994, 33984])).
% 74.14/47.30 tff(33996,plain,
% 74.14/47.30 (~v90(constB27, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4882, 33995])).
% 74.14/47.30 tff(33997,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(33998,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(33999,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[33998, 33997])).
% 74.14/47.30 tff(34000,plain,
% 74.14/47.30 (~v88(constB27, bitIndex2)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[33999, 12119, 33996])).
% 74.14/47.30 tff(34001,plain,
% 74.14/47.30 ((~v130(constB25, bitIndex1)) | v121(constB25) | v122(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4800, 1349, 33989, 4630, 33988, 33987])).
% 74.14/47.30 tff(34002,plain,
% 74.14/47.30 (~v130(constB25, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34001, 33986, 33985])).
% 74.14/47.30 tff(34003,plain,
% 74.14/47.30 (~v127(constB25, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4809, 34002])).
% 74.14/47.30 tff(34004,plain,
% 74.14/47.30 (~v129(constB26, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4814, 34003])).
% 74.14/47.30 tff(34005,plain,
% 74.14/47.30 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4821, 728, 34004])).
% 74.14/47.30 tff(34006,plain,
% 74.14/47.30 (~v90(constB26, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34005, 33984])).
% 74.14/47.30 tff(34007,plain,
% 74.14/47.30 (~v90(constB27, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4831, 34006])).
% 74.14/47.30 tff(34008,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34009,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34010,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34009, 34008])).
% 74.14/47.30 tff(34011,plain,
% 74.14/47.30 (~v88(constB27, bitIndex1)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34010, 25107, 34007])).
% 74.14/47.30 tff(34012,plain,
% 74.14/47.30 (v130(constB25, bitIndex0) | v121(constB25) | v122(constB25)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4749, 1396, 33989, 4630, 33988, 33987])).
% 74.14/47.30 tff(34013,plain,
% 74.14/47.30 (v130(constB25, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34012, 33986, 33985])).
% 74.14/47.30 tff(34014,plain,
% 74.14/47.30 (v127(constB25, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4755, 34013])).
% 74.14/47.30 tff(34015,plain,
% 74.14/47.30 (v129(constB26, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4760, 34014])).
% 74.14/47.30 tff(34016,plain,
% 74.14/47.30 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4768, 1443, 34015])).
% 74.14/47.30 tff(34017,plain,
% 74.14/47.30 (v90(constB26, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34016, 33984])).
% 74.14/47.30 tff(34018,plain,
% 74.14/47.30 (v90(constB27, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[4793, 34017])).
% 74.14/47.30 tff(34019,plain,
% 74.14/47.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34020,plain,
% 74.14/47.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34021,plain,
% 74.14/47.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 74.14/47.30 tff(34022,plain,
% 74.14/47.30 (v88(constB27, bitIndex0)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34021, 12199, 34018])).
% 74.14/47.30 tff(34023,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34024,plain,
% 74.14/47.30 ((v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27)) <=> (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34025,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27)))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34024])).
% 74.14/47.30 tff(34026,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34025, 34023])).
% 74.14/47.30 tff(34027,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34028,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34027, 34026])).
% 74.14/47.30 tff(34029,plain,
% 74.14/47.30 (v140(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34028, 25221, 34022, 34011, 34000])).
% 74.14/47.30 tff(34030,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB27) | (~v140(constB27)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB27) | (~v140(constB27)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34031,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB27) | (~v140(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34032,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB27) | (~v140(constB27))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34031, 34030])).
% 74.14/47.30 tff(34033,plain,
% 74.14/47.30 (v169(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34032, 25235, 34029])).
% 74.14/47.30 tff(34034,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB27) | (~v169(constB27)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB27) | (~v169(constB27)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34035,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB27) | (~v169(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34036,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB27) | (~v169(constB27))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 74.14/47.30 tff(34037,plain,
% 74.14/47.30 (v168(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34036, 25246, 34033])).
% 74.14/47.30 tff(34038,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB27) | (~v168(constB27)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB27) | (~v168(constB27)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34039,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB27) | (~v168(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34040,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB27) | (~v168(constB27))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34039, 34038])).
% 74.14/47.30 tff(34041,plain,
% 74.14/47.30 (v167(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34040, 12235, 34037])).
% 74.14/47.30 tff(34042,plain,
% 74.14/47.30 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB27)) | (~v170(constB27)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB27)) | (~v170(constB27)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34043,plain,
% 74.14/47.30 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB27)) | (~v170(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34044,plain,
% 74.14/47.30 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB27)) | (~v170(constB27))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34043, 34042])).
% 74.14/47.30 tff(34045,plain,
% 74.14/47.30 (~v170(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34044, 4351, 34041])).
% 74.14/47.30 tff(34046,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB27) | (~v167(constB27)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB27) | (~v167(constB27)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34047,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB27) | (~v167(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34048,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB27) | (~v167(constB27))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34047, 34046])).
% 74.14/47.30 tff(34049,plain,
% 74.14/47.30 (v166(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34048, 4362, 34041])).
% 74.14/47.30 tff(34050,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB27)) | (~v166(constB27)) | v170(constB27))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34051,plain,
% 74.14/47.30 (((~v166(constB27)) | v170(constB27) | (~v163(constB27))) <=> ((~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34052,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB27)) | (~v166(constB27)) | v170(constB27)))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34051])).
% 74.14/47.30 tff(34053,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34052, 34050])).
% 74.14/47.30 tff(34054,plain,
% 74.14/47.30 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34055,plain,
% 74.14/47.30 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34054, 34053])).
% 74.14/47.30 tff(34056,plain,
% 74.14/47.30 (~v163(constB27)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34055, 4376, 34049, 34045])).
% 74.14/47.30 tff(34057,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34058,plain,
% 74.14/47.30 (((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28))) <=> (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34059,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34058])).
% 74.14/47.30 tff(34060,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34059, 34057])).
% 74.14/47.30 tff(34061,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34062,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34061, 34060])).
% 74.14/47.30 tff(34063,plain,
% 74.14/47.30 (v163(constB27) | (~v186(constB28))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34062, 12267, 4925])).
% 74.14/47.30 tff(34064,plain,
% 74.14/47.30 (~v186(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34063, 34056])).
% 74.14/47.30 tff(34065,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34066,plain,
% 74.14/47.30 (((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28)) <=> ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34067,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28)))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34066])).
% 74.14/47.30 tff(34068,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34067, 34065])).
% 74.14/47.30 tff(34069,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34070,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34069, 34068])).
% 74.14/47.30 tff(34071,plain,
% 74.14/47.30 (v181(constB28) | v104(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34070, 12289, 4925])).
% 74.14/47.30 tff(34072,plain,
% 74.14/47.30 (v181(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34071, 4937])).
% 74.14/47.30 tff(34073,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34074,plain,
% 74.14/47.30 (((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28))) <=> ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34075,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34074])).
% 74.14/47.30 tff(34076,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34075, 34073])).
% 74.14/47.30 tff(34077,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34078,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34077, 34076])).
% 74.14/47.30 tff(34079,plain,
% 74.14/47.30 (v180(constB28) | (~v181(constB28))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34078, 12310, 4925, 4948])).
% 74.14/47.30 tff(34080,plain,
% 74.14/47.30 (v180(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34079, 34072])).
% 74.14/47.30 tff(34081,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34082,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34083,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34082, 34081])).
% 74.14/47.30 tff(34084,plain,
% 74.14/47.30 (v179(constB28) | (~v180(constB28))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34083, 12328, 4925])).
% 74.14/47.30 tff(34085,plain,
% 74.14/47.30 (v179(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34084, 34080])).
% 74.14/47.30 tff(34086,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB28)) | v186(constB28) | (~v179(constB28)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB28)) | v186(constB28) | (~v179(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34087,plain,
% 74.14/47.30 (((~v179(constB28)) | (~v159(constB28)) | v186(constB28)) <=> ((~v159(constB28)) | v186(constB28) | (~v179(constB28)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34088,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB28)) | (~v159(constB28)) | v186(constB28))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB28)) | v186(constB28) | (~v179(constB28))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34087])).
% 74.14/47.30 tff(34089,plain,
% 74.14/47.30 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB28)) | (~v159(constB28)) | v186(constB28))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB28)) | v186(constB28) | (~v179(constB28)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34088, 34086])).
% 74.14/47.30 tff(34090,plain,
% 74.14/47.30 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB28)) | (~v159(constB28)) | v186(constB28))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34091,plain,
% 74.14/47.30 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB28)) | v186(constB28) | (~v179(constB28))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34090, 34089])).
% 74.14/47.30 tff(34092,plain,
% 74.14/47.30 ((~v159(constB28)) | v186(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34091, 12343, 34085])).
% 74.14/47.30 tff(34093,plain,
% 74.14/47.30 (~v159(constB28)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34092, 34064])).
% 74.14/47.30 tff(34094,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34095,plain,
% 74.14/47.30 (((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29))) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34096,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34095])).
% 74.14/47.30 tff(34097,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34096, 34094])).
% 74.14/47.30 tff(34098,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34099,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 74.14/47.30 tff(34100,plain,
% 74.14/47.30 (~v180(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34099, 12367, 4996, 4993])).
% 74.14/47.30 tff(34101,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34102,plain,
% 74.14/47.30 (((~nextState(constB28, constB29)) | (~v179(constB29)) | v180(constB29)) <=> ((~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34103,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB28, constB29)) | (~v179(constB29)) | v180(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34102])).
% 74.14/47.30 tff(34104,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB28, constB29)) | (~v179(constB29)) | v180(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34103, 34101])).
% 74.14/47.30 tff(34105,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB28, constB29)) | (~v179(constB29)) | v180(constB29))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34106,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34105, 34104])).
% 74.14/47.30 tff(34107,plain,
% 74.14/47.30 (v180(constB29) | (~v179(constB29))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34106, 12384, 4996])).
% 74.14/47.30 tff(34108,plain,
% 74.14/47.30 (~v179(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34107, 34100])).
% 74.14/47.30 tff(34109,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34110,plain,
% 74.14/47.30 (((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29))) <=> (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34111,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34110])).
% 74.14/47.30 tff(34112,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34111, 34109])).
% 74.14/47.30 tff(34113,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34114,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34113, 34112])).
% 74.14/47.30 tff(34115,plain,
% 74.14/47.30 (v159(constB28) | v179(constB29) | (~v159(constB29))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34114, 12402, 4996])).
% 74.14/47.30 tff(34116,plain,
% 74.14/47.30 (v159(constB28) | (~v159(constB29))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34115, 34108])).
% 74.14/47.30 tff(34117,plain,
% 74.14/47.30 (~v159(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34116, 34093])).
% 74.14/47.30 tff(34118,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB29) | (~v201(constB29)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB29) | (~v201(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34119,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB29) | (~v201(constB29)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34120,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB29) | (~v201(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34119, 34118])).
% 74.14/47.30 tff(34121,plain,
% 74.14/47.30 (~v201(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34120, 12418, 34117])).
% 74.14/47.30 tff(34122,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB29) | (~v200(constB29)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB29) | (~v200(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34123,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB29) | (~v200(constB29)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34124,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB29) | (~v200(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 74.14/47.30 tff(34125,plain,
% 74.14/47.30 (~v200(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34124, 4401, 34121])).
% 74.14/47.30 tff(34126,plain,
% 74.14/47.30 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB29) | (~v198(constB29)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB29) | (~v198(constB29)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34127,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB29) | (~v198(constB29)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34128,plain,
% 74.14/47.30 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB29) | (~v198(constB29))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 74.14/47.30 tff(34129,plain,
% 74.14/47.30 (~v198(constB29)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34128, 4412, 34125])).
% 74.14/47.30 tff(34130,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34131,plain,
% 74.14/47.30 (((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26))) <=> (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34132,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34131])).
% 74.14/47.30 tff(34133,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34132, 34130])).
% 74.14/47.30 tff(34134,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34135,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34134, 34133])).
% 74.14/47.30 tff(34136,plain,
% 74.14/47.30 (v163(constB25) | (~v186(constB26))),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34135, 12267, 4439])).
% 74.14/47.30 tff(34137,plain,
% 74.14/47.30 (~v186(constB26)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34136, 4383])).
% 74.14/47.30 tff(34138,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34139,plain,
% 74.14/47.30 (((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26)) <=> ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34140,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34139])).
% 74.14/47.30 tff(34141,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34140, 34138])).
% 74.14/47.30 tff(34142,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34143,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34142, 34141])).
% 74.14/47.30 tff(34144,plain,
% 74.14/47.30 (v181(constB26) | v104(constB26)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34143, 12289, 4439])).
% 74.14/47.30 tff(34145,plain,
% 74.14/47.30 (v181(constB26)),
% 74.14/47.30 inference(unit_resolution,[status(thm)],[34144, 4706])).
% 74.14/47.30 tff(34146,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34147,plain,
% 74.14/47.30 (((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26))) <=> ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 74.14/47.30 inference(rewrite,[status(thm)],[])).
% 74.14/47.30 tff(34148,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))))),
% 74.14/47.30 inference(monotonicity,[status(thm)],[34147])).
% 74.14/47.30 tff(34149,plain,
% 74.14/47.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 74.14/47.30 inference(transitivity,[status(thm)],[34148, 34146])).
% 74.14/47.30 tff(34150,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))),
% 74.14/47.30 inference(quant_inst,[status(thm)],[])).
% 74.14/47.30 tff(34151,plain,
% 74.14/47.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))),
% 74.14/47.30 inference(modus_ponens,[status(thm)],[34150, 34149])).
% 74.14/47.31 tff(34152,plain,
% 74.14/47.31 (v180(constB26) | (~v181(constB26))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34151, 12310, 4439, 4423])).
% 74.14/47.31 tff(34153,plain,
% 74.14/47.31 (v180(constB26)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34152, 34145])).
% 74.14/47.31 tff(34154,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34155,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34156,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34155, 34154])).
% 74.14/47.31 tff(34157,plain,
% 74.14/47.31 (v179(constB26) | (~v180(constB26))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34156, 12328, 4439])).
% 74.14/47.31 tff(34158,plain,
% 74.14/47.31 (v179(constB26)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34157, 34153])).
% 74.14/47.31 tff(34159,plain,
% 74.14/47.31 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB26)) | v186(constB26) | (~v179(constB26)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB26)) | v186(constB26) | (~v179(constB26)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34160,plain,
% 74.14/47.31 (((~v179(constB26)) | (~v159(constB26)) | v186(constB26)) <=> ((~v159(constB26)) | v186(constB26) | (~v179(constB26)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34161,plain,
% 74.14/47.31 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB26)) | (~v159(constB26)) | v186(constB26))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB26)) | v186(constB26) | (~v179(constB26))))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34160])).
% 74.14/47.31 tff(34162,plain,
% 74.14/47.31 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB26)) | (~v159(constB26)) | v186(constB26))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB26)) | v186(constB26) | (~v179(constB26)))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34161, 34159])).
% 74.14/47.31 tff(34163,plain,
% 74.14/47.31 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB26)) | (~v159(constB26)) | v186(constB26))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34164,plain,
% 74.14/47.31 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB26)) | v186(constB26) | (~v179(constB26))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34163, 34162])).
% 74.14/47.31 tff(34165,plain,
% 74.14/47.31 ((~v159(constB26)) | v186(constB26)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34164, 12343, 34158])).
% 74.14/47.31 tff(34166,plain,
% 74.14/47.31 (~v159(constB26)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34165, 34137])).
% 74.14/47.31 tff(34167,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34168,plain,
% 74.14/47.31 (((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27))) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34169,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34168])).
% 74.14/47.31 tff(34170,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34169, 34167])).
% 74.14/47.31 tff(34171,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34172,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 74.14/47.31 tff(34173,plain,
% 74.14/47.31 (~v180(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34172, 12367, 4556, 4773])).
% 74.14/47.31 tff(34174,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34175,plain,
% 74.14/47.31 (((~nextState(constB26, constB27)) | (~v179(constB27)) | v180(constB27)) <=> ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34176,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB26, constB27)) | (~v179(constB27)) | v180(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27))))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34175])).
% 74.14/47.31 tff(34177,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB26, constB27)) | (~v179(constB27)) | v180(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34176, 34174])).
% 74.14/47.31 tff(34178,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB26, constB27)) | (~v179(constB27)) | v180(constB27))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34179,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34178, 34177])).
% 74.14/47.31 tff(34180,plain,
% 74.14/47.31 (v180(constB27) | (~v179(constB27))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34179, 12384, 4556])).
% 74.14/47.31 tff(34181,plain,
% 74.14/47.31 (~v179(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34180, 34173])).
% 74.14/47.31 tff(34182,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34183,plain,
% 74.14/47.31 (((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27))) <=> (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34184,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34183])).
% 74.14/47.31 tff(34185,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34184, 34182])).
% 74.14/47.31 tff(34186,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34187,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34186, 34185])).
% 74.14/47.31 tff(34188,plain,
% 74.14/47.31 (v159(constB26) | v179(constB27) | (~v159(constB27))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34187, 12402, 4556])).
% 74.14/47.31 tff(34189,plain,
% 74.14/47.31 (v159(constB26) | (~v159(constB27))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34188, 34181])).
% 74.14/47.31 tff(34190,plain,
% 74.14/47.31 (~v159(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34189, 34166])).
% 74.14/47.31 tff(34191,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34192,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34193,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 74.14/47.31 tff(34194,plain,
% 74.14/47.31 (~v201(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34193, 12418, 34190])).
% 74.14/47.31 tff(34195,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34196,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34197,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34196, 34195])).
% 74.14/47.31 tff(34198,plain,
% 74.14/47.31 (~v200(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34197, 4401, 34194])).
% 74.14/47.31 tff(34199,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34200,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34201,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34200, 34199])).
% 74.14/47.31 tff(34202,plain,
% 74.14/47.31 (~v198(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34201, 4412, 34198])).
% 74.14/47.31 tff(34203,assumption,(v18(constB28)), introduced(assumption)).
% 74.14/47.31 tff(34204,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB28))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34205,plain,
% 74.14/47.31 ($false),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34204, 58, 34203])).
% 74.14/47.31 tff(34206,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.31 tff(34207,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34208,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34209,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 74.14/47.31 tff(34210,plain,
% 74.14/47.31 (v22(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34209, 71, 4948])).
% 74.14/47.31 tff(34211,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB28)) | (~v22(constB28)) | v18(constB28))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB28)) | (~v22(constB28)) | v18(constB28))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34212,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB28)) | (~v22(constB28)) | v18(constB28))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34213,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB28)) | (~v22(constB28)) | v18(constB28)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 74.14/47.31 tff(34214,plain,
% 74.14/47.31 ((~v19(constB28)) | v18(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34213, 85, 34210])).
% 74.14/47.31 tff(34215,plain,
% 74.14/47.31 (~v19(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34214, 34206])).
% 74.14/47.31 tff(34216,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34217,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34218,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34217, 34216])).
% 74.14/47.31 tff(34219,plain,
% 74.14/47.31 (v13(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34218, 100, 34215])).
% 74.14/47.31 tff(34220,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34221,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34222,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34221, 34220])).
% 74.14/47.31 tff(34223,plain,
% 74.14/47.31 ((~v13(constB28)) | v9(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34222, 117, 4925])).
% 74.14/47.31 tff(34224,plain,
% 74.14/47.31 (v9(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34223, 34219])).
% 74.14/47.31 tff(34225,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34226,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34227,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34226, 34225])).
% 74.14/47.31 tff(34228,plain,
% 74.14/47.31 ((~v9(constB27)) | v197(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34227, 4454, 4773])).
% 74.14/47.31 tff(34229,plain,
% 74.14/47.31 (v197(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34228, 34224])).
% 74.14/47.31 tff(34230,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB27) | (~v197(constB27)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB27) | (~v197(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34231,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB27) | (~v197(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34232,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB27) | (~v197(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34231, 34230])).
% 74.14/47.31 tff(34233,plain,
% 74.14/47.31 (v196(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34232, 4466, 34229])).
% 74.14/47.31 tff(34234,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB27)) | (~v196(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34235,plain,
% 74.14/47.31 (((~v196(constB27)) | (~v194(constB27))) <=> ((~v194(constB27)) | (~v196(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34236,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB27)) | (~v194(constB27)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27))))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34235])).
% 74.14/47.31 tff(34237,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB27)) | (~v194(constB27)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB27)) | (~v196(constB27)))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34236, 34234])).
% 74.14/47.31 tff(34238,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB27)) | (~v194(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34239,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB27)) | (~v196(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 74.14/47.31 tff(34240,plain,
% 74.14/47.31 (~v194(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34239, 4477, 34233])).
% 74.14/47.31 tff(34241,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34242,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34243,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 74.14/47.31 tff(34244,plain,
% 74.14/47.31 (v198(constB27) | (~v191(constB27))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34243, 4491, 34240])).
% 74.14/47.31 tff(34245,plain,
% 74.14/47.31 (~v191(constB27)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34244, 34202])).
% 74.14/47.31 tff(34246,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34247,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34248,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34247, 34246])).
% 74.14/47.31 tff(34249,plain,
% 74.14/47.31 (v191(constB27) | (~v193(constB28))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34248, 4506, 4925])).
% 74.14/47.31 tff(34250,plain,
% 74.14/47.31 (~v193(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34249, 34245])).
% 74.14/47.31 tff(34251,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34252,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34253,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34252, 34251])).
% 74.14/47.31 tff(34254,plain,
% 74.14/47.31 (~v194(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34253, 4518, 34250])).
% 74.14/47.31 tff(34255,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34256,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34257,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34256, 34255])).
% 74.14/47.31 tff(34258,plain,
% 74.14/47.31 (~v197(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34257, 4529, 4948])).
% 74.14/47.31 tff(34259,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34260,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34261,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 74.14/47.31 tff(34262,plain,
% 74.14/47.31 (~v200(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34261, 4540, 34258])).
% 74.14/47.31 tff(34263,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34264,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34265,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 74.14/47.31 tff(34266,plain,
% 74.14/47.31 (~v198(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34265, 4412, 34262])).
% 74.14/47.31 tff(34267,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34268,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34269,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 74.14/47.31 tff(34270,plain,
% 74.14/47.31 (v194(constB28) | (~v191(constB28))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34269, 4491, 34266])).
% 74.14/47.31 tff(34271,plain,
% 74.14/47.31 (~v191(constB28)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34270, 34254])).
% 74.14/47.31 tff(34272,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34273,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34274,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34273, 34272])).
% 74.14/47.31 tff(34275,plain,
% 74.14/47.31 (v191(constB28) | (~v193(constB29))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34274, 4506, 4996])).
% 74.14/47.31 tff(34276,plain,
% 74.14/47.31 (~v193(constB29)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34275, 34271])).
% 74.14/47.31 tff(34277,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB29) | (~v194(constB29)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB29) | (~v194(constB29)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34278,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB29) | (~v194(constB29)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34279,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB29) | (~v194(constB29))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 74.14/47.31 tff(34280,plain,
% 74.14/47.31 (~v194(constB29)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34279, 4518, 34276])).
% 74.14/47.31 tff(34281,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB29) | v198(constB29) | (~v191(constB29)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB29) | v198(constB29) | (~v191(constB29)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34282,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB29) | v198(constB29) | (~v191(constB29)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34283,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB29) | v198(constB29) | (~v191(constB29))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34282, 34281])).
% 74.14/47.31 tff(34284,plain,
% 74.14/47.31 (v198(constB29) | (~v191(constB29))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34283, 4491, 34280])).
% 74.14/47.31 tff(34285,plain,
% 74.14/47.31 (~v191(constB29)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34284, 34129])).
% 74.14/47.31 tff(34286,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34287,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34288,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34287, 34286])).
% 74.14/47.31 tff(34289,plain,
% 74.14/47.31 (v191(constB29) | (~v193(constB30))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34288, 4506, 5125])).
% 74.14/47.31 tff(34290,plain,
% 74.14/47.31 (~v193(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34289, 34285])).
% 74.14/47.31 tff(34291,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB30) | (~v194(constB30)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB30) | (~v194(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34292,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB30) | (~v194(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34293,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB30) | (~v194(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 74.14/47.31 tff(34294,plain,
% 74.14/47.31 (~v194(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34293, 4518, 34290])).
% 74.14/47.31 tff(34295,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB30)) | (~v197(constB30)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB30)) | (~v197(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34296,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB30)) | (~v197(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34297,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB30)) | (~v197(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 74.14/47.31 tff(34298,plain,
% 74.14/47.31 (~v197(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34297, 4529, 5148])).
% 74.14/47.31 tff(34299,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB30) | (~v200(constB30)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB30) | (~v200(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34300,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB30) | (~v200(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34301,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB30) | (~v200(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34300, 34299])).
% 74.14/47.31 tff(34302,plain,
% 74.14/47.31 (~v200(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34301, 4540, 34298])).
% 74.14/47.31 tff(34303,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB30) | (~v198(constB30)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB30) | (~v198(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34304,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB30) | (~v198(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34305,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB30) | (~v198(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34304, 34303])).
% 74.14/47.31 tff(34306,plain,
% 74.14/47.31 (~v198(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34305, 4412, 34302])).
% 74.14/47.31 tff(34307,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB30) | v198(constB30) | (~v191(constB30)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB30) | v198(constB30) | (~v191(constB30)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34308,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB30) | v198(constB30) | (~v191(constB30)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34309,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB30) | v198(constB30) | (~v191(constB30))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 74.14/47.31 tff(34310,plain,
% 74.14/47.31 (v194(constB30) | (~v191(constB30))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34309, 4491, 34306])).
% 74.14/47.31 tff(34311,plain,
% 74.14/47.31 (~v191(constB30)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34310, 34294])).
% 74.14/47.31 tff(34312,plain,
% 74.14/47.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34313,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34314,plain,
% 74.14/47.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 74.14/47.31 tff(34315,plain,
% 74.14/47.31 (v191(constB30) | (~v193(constB31))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34314, 4506, 5196])).
% 74.14/47.31 tff(34316,plain,
% 74.14/47.31 (~v193(constB31)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34315, 34311])).
% 74.14/47.31 tff(34317,plain,
% 74.14/47.31 ($false),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34316, 33977])).
% 74.14/47.31 tff(34318,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.31 tff(34319,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.31 tff(34320,plain,
% 74.14/47.31 (v193(constB109) <=> v193(sK0_VarCurr)),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34319])).
% 74.14/47.31 tff(34321,plain,
% 74.14/47.31 (v193(sK0_VarCurr) <=> v193(constB109)),
% 74.14/47.31 inference(symmetry,[status(thm)],[34320])).
% 74.14/47.31 tff(34322,plain,
% 74.14/47.31 (v193(constB109)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[17, 34321])).
% 74.14/47.31 tff(34323,plain,
% 74.14/47.31 (~v130(constB103, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17748, 1057, 17504])).
% 74.14/47.31 tff(34324,plain,
% 74.14/47.31 (~v127(constB103, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17756, 34323])).
% 74.14/47.31 tff(34325,plain,
% 74.14/47.31 (~v129(constB104, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17761, 34324])).
% 74.14/47.31 tff(34326,plain,
% 74.14/47.31 ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17768, 802, 17647])).
% 74.14/47.31 tff(34327,plain,
% 74.14/47.31 (~v90(constB104, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34326, 34325])).
% 74.14/47.31 tff(34328,plain,
% 74.14/47.31 (~v90(constB105, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17778, 34327])).
% 74.14/47.31 tff(34329,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34330,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34331,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34330, 34329])).
% 74.14/47.31 tff(34332,plain,
% 74.14/47.31 (~v88(constB105, bitIndex0)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34331, 4274, 34328])).
% 74.14/47.31 tff(34333,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34334,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34335,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34334, 34333])).
% 74.14/47.31 tff(34336,plain,
% 74.14/47.31 (v88(constB105, bitIndex2)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34335, 4229, 17682])).
% 74.14/47.31 tff(34337,plain,
% 74.14/47.31 (v130(constB103, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17717, 976, 17504])).
% 74.14/47.31 tff(34338,plain,
% 74.14/47.31 (v127(constB103, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17722, 34337])).
% 74.14/47.31 tff(34339,plain,
% 74.14/47.31 (v129(constB104, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17727, 34338])).
% 74.14/47.31 tff(34340,plain,
% 74.14/47.31 (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1))),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17734, 1020, 17647])).
% 74.14/47.31 tff(34341,plain,
% 74.14/47.31 (v90(constB104, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34340, 34339])).
% 74.14/47.31 tff(34342,plain,
% 74.14/47.31 (v90(constB105, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[17744, 34341])).
% 74.14/47.31 tff(34343,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB105, bitIndex1)) | v88(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB105, bitIndex1)) | v88(constB105, bitIndex1))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34344,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB105, bitIndex1)) | v88(constB105, bitIndex1))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34345,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB105, bitIndex1)) | v88(constB105, bitIndex1)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34344, 34343])).
% 74.14/47.31 tff(34346,plain,
% 74.14/47.31 (v88(constB105, bitIndex1)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34345, 4297, 34342])).
% 74.14/47.31 tff(34347,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34348,plain,
% 74.14/47.31 (((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | v144(constB105)) <=> ((~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34349,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | v144(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105)))),
% 74.14/47.31 inference(monotonicity,[status(thm)],[34348])).
% 74.14/47.31 tff(34350,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | v144(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105))),
% 74.14/47.31 inference(transitivity,[status(thm)],[34349, 34347])).
% 74.14/47.31 tff(34351,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | v144(constB105))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34352,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v144(constB105)),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34351, 34350])).
% 74.14/47.31 tff(34353,plain,
% 74.14/47.31 (v144(constB105)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34352, 4311, 34346, 34336, 34332])).
% 74.14/47.31 tff(34354,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB105) | (~v144(constB105)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB105) | (~v144(constB105)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34355,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB105) | (~v144(constB105)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34356,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB105) | (~v144(constB105))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34355, 34354])).
% 74.14/47.31 tff(34357,plain,
% 74.14/47.31 (v142(constB105)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34356, 4326, 34353])).
% 74.14/47.31 tff(34358,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB105) | (~v142(constB105)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34359,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB105) | (~v142(constB105)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34360,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB105) | (~v142(constB105))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 74.14/47.31 tff(34361,plain,
% 74.14/47.31 (v167(constB105)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34360, 4337, 34357])).
% 74.14/47.31 tff(34362,plain,
% 74.14/47.31 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB105)) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB105)) | (~v170(constB105)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34363,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB105)) | (~v170(constB105)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34364,plain,
% 74.14/47.31 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB105)) | (~v170(constB105))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34363, 34362])).
% 74.14/47.31 tff(34365,plain,
% 74.14/47.31 (~v170(constB105)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34364, 4351, 34361])).
% 74.14/47.31 tff(34366,plain,
% 74.14/47.31 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB105) | (~v167(constB105)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB105) | (~v167(constB105)))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34367,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB105) | (~v167(constB105)))),
% 74.14/47.31 inference(quant_inst,[status(thm)],[])).
% 74.14/47.31 tff(34368,plain,
% 74.14/47.31 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB105) | (~v167(constB105))),
% 74.14/47.31 inference(modus_ponens,[status(thm)],[34367, 34366])).
% 74.14/47.31 tff(34369,plain,
% 74.14/47.31 (v166(constB105)),
% 74.14/47.31 inference(unit_resolution,[status(thm)],[34368, 4362, 34361])).
% 74.14/47.31 tff(34370,plain,
% 74.14/47.31 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB105)) | (~v166(constB105)) | v170(constB105))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB105)) | (~v166(constB105)) | v170(constB105))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34371,plain,
% 74.14/47.31 (((~v166(constB105)) | v170(constB105) | (~v163(constB105))) <=> ((~v163(constB105)) | (~v166(constB105)) | v170(constB105))),
% 74.14/47.31 inference(rewrite,[status(thm)],[])).
% 74.14/47.31 tff(34372,plain,
% 74.14/47.31 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB105)) | v170(constB105) | (~v163(constB105)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB105)) | (~v166(constB105)) | v170(constB105)))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34371])).
% 74.14/47.32 tff(34373,plain,
% 74.14/47.32 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB105)) | v170(constB105) | (~v163(constB105)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB105)) | (~v166(constB105)) | v170(constB105))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34372, 34370])).
% 74.14/47.32 tff(34374,plain,
% 74.14/47.32 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB105)) | v170(constB105) | (~v163(constB105)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34375,plain,
% 74.14/47.32 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB105)) | (~v166(constB105)) | v170(constB105)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 74.14/47.32 tff(34376,plain,
% 74.14/47.32 (~v163(constB105)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34375, 4376, 34369, 34365])).
% 74.14/47.32 tff(34377,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34378,plain,
% 74.14/47.32 (((~nextState(constB105, constB106)) | v163(constB105) | (~v186(constB106))) <=> (v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34379,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB105, constB106)) | v163(constB105) | (~v186(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34378])).
% 74.14/47.32 tff(34380,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB105, constB106)) | v163(constB105) | (~v186(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34379, 34377])).
% 74.14/47.32 tff(34381,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB105, constB106)) | v163(constB105) | (~v186(constB106)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34382,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB105) | (~nextState(constB105, constB106)) | (~v186(constB106))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 74.14/47.32 tff(34383,plain,
% 74.14/47.32 (v163(constB105) | (~v186(constB106))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34382, 12267, 17806])).
% 74.14/47.32 tff(34384,plain,
% 74.14/47.32 (~v186(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34383, 34376])).
% 74.14/47.32 tff(34385,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB105, constB106)) | v181(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB105, constB106)) | v181(constB106) | v104(constB106))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34386,plain,
% 74.14/47.32 (((~nextState(constB105, constB106)) | v104(constB106) | v181(constB106)) <=> ((~nextState(constB105, constB106)) | v181(constB106) | v104(constB106))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34387,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v181(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB105, constB106)) | v181(constB106) | v104(constB106)))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34386])).
% 74.14/47.32 tff(34388,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v181(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB105, constB106)) | v181(constB106) | v104(constB106))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34387, 34385])).
% 74.14/47.32 tff(34389,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v181(constB106))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34390,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB105, constB106)) | v181(constB106) | v104(constB106)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 74.14/47.32 tff(34391,plain,
% 74.14/47.32 (v181(constB106) | v104(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34390, 12289, 17806])).
% 74.14/47.32 tff(34392,plain,
% 74.14/47.32 (v181(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34391, 17818])).
% 74.14/47.32 tff(34393,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34394,plain,
% 74.14/47.32 (((~nextState(constB105, constB106)) | (~v1(constB106)) | v180(constB106) | (~v181(constB106))) <=> ((~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34395,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v180(constB106) | (~v181(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34394])).
% 74.14/47.32 tff(34396,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v180(constB106) | (~v181(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34395, 34393])).
% 74.14/47.32 tff(34397,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v180(constB106) | (~v181(constB106)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34398,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB105, constB106)) | v180(constB106) | (~v1(constB106)) | (~v181(constB106))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 74.14/47.32 tff(34399,plain,
% 74.14/47.32 (v180(constB106) | (~v181(constB106))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34398, 12310, 17806, 17829])).
% 74.14/47.32 tff(34400,plain,
% 74.14/47.32 (v180(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34399, 34392])).
% 74.14/47.32 tff(34401,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v179(constB106) | (~v180(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v179(constB106) | (~v180(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34402,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v179(constB106) | (~v180(constB106)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34403,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v179(constB106) | (~v180(constB106))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34402, 34401])).
% 74.14/47.32 tff(34404,plain,
% 74.14/47.32 (v179(constB106) | (~v180(constB106))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34403, 12328, 17806])).
% 74.14/47.32 tff(34405,plain,
% 74.14/47.32 (v179(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34404, 34400])).
% 74.14/47.32 tff(34406,plain,
% 74.14/47.32 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB106)) | v186(constB106) | (~v179(constB106)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB106)) | v186(constB106) | (~v179(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34407,plain,
% 74.14/47.32 (((~v179(constB106)) | (~v159(constB106)) | v186(constB106)) <=> ((~v159(constB106)) | v186(constB106) | (~v179(constB106)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34408,plain,
% 74.14/47.32 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB106)) | (~v159(constB106)) | v186(constB106))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB106)) | v186(constB106) | (~v179(constB106))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34407])).
% 74.14/47.32 tff(34409,plain,
% 74.14/47.32 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB106)) | (~v159(constB106)) | v186(constB106))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB106)) | v186(constB106) | (~v179(constB106)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34408, 34406])).
% 74.14/47.32 tff(34410,plain,
% 74.14/47.32 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB106)) | (~v159(constB106)) | v186(constB106))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34411,plain,
% 74.14/47.32 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB106)) | v186(constB106) | (~v179(constB106))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 74.14/47.32 tff(34412,plain,
% 74.14/47.32 ((~v159(constB106)) | v186(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34411, 12343, 34405])).
% 74.14/47.32 tff(34413,plain,
% 74.14/47.32 (~v159(constB106)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34412, 34384])).
% 74.14/47.32 tff(34414,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34415,plain,
% 74.14/47.32 (((~nextState(constB106, constB107)) | v1(constB107) | (~v180(constB107))) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34416,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v1(constB107) | (~v180(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34415])).
% 74.14/47.32 tff(34417,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v1(constB107) | (~v180(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34416, 34414])).
% 74.14/47.32 tff(34418,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v1(constB107) | (~v180(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34419,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v180(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34418, 34417])).
% 74.14/47.32 tff(34420,plain,
% 74.14/47.32 (~v180(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34419, 12367, 17901, 17898])).
% 74.14/47.32 tff(34421,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34422,plain,
% 74.14/47.32 (((~nextState(constB106, constB107)) | (~v179(constB107)) | v180(constB107)) <=> ((~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34423,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB106, constB107)) | (~v179(constB107)) | v180(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34422])).
% 74.14/47.32 tff(34424,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB106, constB107)) | (~v179(constB107)) | v180(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34423, 34421])).
% 74.14/47.32 tff(34425,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB106, constB107)) | (~v179(constB107)) | v180(constB107))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34426,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB106, constB107)) | v180(constB107) | (~v179(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 74.14/47.32 tff(34427,plain,
% 74.14/47.32 (v180(constB107) | (~v179(constB107))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34426, 12384, 17901])).
% 74.14/47.32 tff(34428,plain,
% 74.14/47.32 (~v179(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34427, 34420])).
% 74.14/47.32 tff(34429,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34430,plain,
% 74.14/47.32 (((~nextState(constB106, constB107)) | v179(constB107) | v159(constB106) | (~v159(constB107))) <=> (v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34431,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB106, constB107)) | v179(constB107) | v159(constB106) | (~v159(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34430])).
% 74.14/47.32 tff(34432,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB106, constB107)) | v179(constB107) | v159(constB106) | (~v159(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34431, 34429])).
% 74.14/47.32 tff(34433,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB106, constB107)) | v179(constB107) | v159(constB106) | (~v159(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34434,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB106) | (~nextState(constB106, constB107)) | v179(constB107) | (~v159(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34433, 34432])).
% 74.14/47.32 tff(34435,plain,
% 74.14/47.32 (v159(constB106) | v179(constB107) | (~v159(constB107))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34434, 12402, 17901])).
% 74.14/47.32 tff(34436,plain,
% 74.14/47.32 (v159(constB106) | (~v159(constB107))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34435, 34428])).
% 74.14/47.32 tff(34437,plain,
% 74.14/47.32 (~v159(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34436, 34413])).
% 74.14/47.32 tff(34438,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB107) | (~v201(constB107)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB107) | (~v201(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34439,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB107) | (~v201(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34440,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB107) | (~v201(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 74.14/47.32 tff(34441,plain,
% 74.14/47.32 (~v201(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34440, 12418, 34437])).
% 74.14/47.32 tff(34442,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB107) | (~v200(constB107)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB107) | (~v200(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34443,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB107) | (~v200(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34444,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB107) | (~v200(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 74.14/47.32 tff(34445,plain,
% 74.14/47.32 (~v200(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34444, 4401, 34441])).
% 74.14/47.32 tff(34446,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB107) | (~v198(constB107)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB107) | (~v198(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34447,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB107) | (~v198(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34448,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB107) | (~v198(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34447, 34446])).
% 74.14/47.32 tff(34449,plain,
% 74.14/47.32 (~v198(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34448, 4412, 34445])).
% 74.14/47.32 tff(34450,assumption,(v18(constB108)), introduced(assumption)).
% 74.14/47.32 tff(34451,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB108))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34452,plain,
% 74.14/47.32 ($false),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34451, 58, 34450])).
% 74.14/47.32 tff(34453,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.32 tff(34454,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34455,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34456,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 74.14/47.32 tff(34457,plain,
% 74.14/47.32 (v22(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34456, 71, 18067])).
% 74.14/47.32 tff(34458,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34459,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34460,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 74.14/47.32 tff(34461,plain,
% 74.14/47.32 ((~v19(constB108)) | v18(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34460, 85, 34457])).
% 74.14/47.32 tff(34462,plain,
% 74.14/47.32 (~v19(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34461, 34453])).
% 74.14/47.32 tff(34463,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34464,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34465,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 74.14/47.32 tff(34466,plain,
% 74.14/47.32 (v13(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34465, 100, 34462])).
% 74.14/47.32 tff(34467,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34468,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34469,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 74.14/47.32 tff(34470,plain,
% 74.14/47.32 ((~v13(constB108)) | v9(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34469, 117, 18044])).
% 74.14/47.32 tff(34471,plain,
% 74.14/47.32 (v9(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34470, 34466])).
% 74.14/47.32 tff(34472,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v197(constB107))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB107) | (~v9(constB107)) | v197(constB107))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34473,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v197(constB107))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34474,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB107) | (~v9(constB107)) | v197(constB107)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 74.14/47.32 tff(34475,plain,
% 74.14/47.32 ((~v9(constB107)) | v197(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34474, 4454, 17898])).
% 74.14/47.32 tff(34476,plain,
% 74.14/47.32 (v197(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34475, 34471])).
% 74.14/47.32 tff(34477,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB107) | (~v197(constB107)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB107) | (~v197(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34478,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB107) | (~v197(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34479,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB107) | (~v197(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34478, 34477])).
% 74.14/47.32 tff(34480,plain,
% 74.14/47.32 (v196(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34479, 4466, 34476])).
% 74.14/47.32 tff(34481,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB107)) | (~v196(constB107)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB107)) | (~v196(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34482,plain,
% 74.14/47.32 (((~v196(constB107)) | (~v194(constB107))) <=> ((~v194(constB107)) | (~v196(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34483,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB107)) | (~v194(constB107)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB107)) | (~v196(constB107))))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34482])).
% 74.14/47.32 tff(34484,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB107)) | (~v194(constB107)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB107)) | (~v196(constB107)))),
% 74.14/47.32 inference(transitivity,[status(thm)],[34483, 34481])).
% 74.14/47.32 tff(34485,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB107)) | (~v194(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34486,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB107)) | (~v196(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34485, 34484])).
% 74.14/47.32 tff(34487,plain,
% 74.14/47.32 (~v194(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34486, 4477, 34480])).
% 74.14/47.32 tff(34488,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB107) | v198(constB107) | (~v191(constB107)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB107) | v198(constB107) | (~v191(constB107)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34489,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB107) | v198(constB107) | (~v191(constB107)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34490,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB107) | v198(constB107) | (~v191(constB107))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 74.14/47.32 tff(34491,plain,
% 74.14/47.32 (v198(constB107) | (~v191(constB107))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34490, 4491, 34487])).
% 74.14/47.32 tff(34492,plain,
% 74.14/47.32 (~v191(constB107)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34491, 34449])).
% 74.14/47.32 tff(34493,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB107, constB108)) | v191(constB107) | (~v193(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB107, constB108)) | v191(constB107) | (~v193(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34494,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB107, constB108)) | v191(constB107) | (~v193(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34495,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB107, constB108)) | v191(constB107) | (~v193(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34494, 34493])).
% 74.14/47.32 tff(34496,plain,
% 74.14/47.32 (v191(constB107) | (~v193(constB108))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34495, 4506, 18044])).
% 74.14/47.32 tff(34497,plain,
% 74.14/47.32 (~v193(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34496, 34492])).
% 74.14/47.32 tff(34498,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB108) | (~v194(constB108)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB108) | (~v194(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34499,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB108) | (~v194(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34500,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB108) | (~v194(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 74.14/47.32 tff(34501,plain,
% 74.14/47.32 (~v194(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34500, 4518, 34497])).
% 74.14/47.32 tff(34502,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB108)) | (~v197(constB108)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB108)) | (~v197(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34503,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB108)) | (~v197(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34504,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB108)) | (~v197(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 74.14/47.32 tff(34505,plain,
% 74.14/47.32 (~v197(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34504, 4529, 18067])).
% 74.14/47.32 tff(34506,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB108) | (~v200(constB108)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB108) | (~v200(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34507,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB108) | (~v200(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34508,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB108) | (~v200(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34507, 34506])).
% 74.14/47.32 tff(34509,plain,
% 74.14/47.32 (~v200(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34508, 4540, 34505])).
% 74.14/47.32 tff(34510,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB108) | (~v198(constB108)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB108) | (~v198(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34511,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB108) | (~v198(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34512,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB108) | (~v198(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34511, 34510])).
% 74.14/47.32 tff(34513,plain,
% 74.14/47.32 (~v198(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34512, 4412, 34509])).
% 74.14/47.32 tff(34514,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB108) | v198(constB108) | (~v191(constB108)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB108) | v198(constB108) | (~v191(constB108)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34515,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB108) | v198(constB108) | (~v191(constB108)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34516,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB108) | v198(constB108) | (~v191(constB108))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 74.14/47.32 tff(34517,plain,
% 74.14/47.32 (v194(constB108) | (~v191(constB108))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34516, 4491, 34513])).
% 74.14/47.32 tff(34518,plain,
% 74.14/47.32 (~v191(constB108)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34517, 34501])).
% 74.14/47.32 tff(34519,plain,
% 74.14/47.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB108, constB109)) | v191(constB108) | (~v193(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB108, constB109)) | v191(constB108) | (~v193(constB109)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34520,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB108, constB109)) | v191(constB108) | (~v193(constB109)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34521,plain,
% 74.14/47.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB108, constB109)) | v191(constB108) | (~v193(constB109))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 74.14/47.32 tff(34522,plain,
% 74.14/47.32 (v191(constB108) | (~v193(constB109))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34521, 4506, 18117])).
% 74.14/47.32 tff(34523,plain,
% 74.14/47.32 (~v193(constB109)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34522, 34518])).
% 74.14/47.32 tff(34524,plain,
% 74.14/47.32 ($false),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34523, 34322])).
% 74.14/47.32 tff(34525,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.32 tff(34526,assumption,(constB84 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.32 tff(34527,plain,
% 74.14/47.32 (v1(constB84) <=> v1(sK0_VarCurr)),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34526])).
% 74.14/47.32 tff(34528,plain,
% 74.14/47.32 (v1(sK0_VarCurr) <=> v1(constB84)),
% 74.14/47.32 inference(symmetry,[status(thm)],[34527])).
% 74.14/47.32 tff(34529,plain,
% 74.14/47.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB84))),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34528])).
% 74.14/47.32 tff(34530,plain,
% 74.14/47.32 (~v1(constB84)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[4604, 34529])).
% 74.14/47.32 tff(34531,plain,
% 74.14/47.32 ($false),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[13901, 34530])).
% 74.14/47.32 tff(34532,plain,(~(constB84 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.14/47.32 tff(34533,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 74.14/47.32 tff(34534,plain,
% 74.14/47.32 (v193(constB101) <=> v193(sK0_VarCurr)),
% 74.14/47.32 inference(monotonicity,[status(thm)],[34533])).
% 74.14/47.32 tff(34535,plain,
% 74.14/47.32 (v193(sK0_VarCurr) <=> v193(constB101)),
% 74.14/47.32 inference(symmetry,[status(thm)],[34534])).
% 74.14/47.32 tff(34536,plain,
% 74.14/47.32 (v193(constB101)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[17, 34535])).
% 74.14/47.32 tff(34537,plain,
% 74.14/47.32 (v130(constB97, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16452, 1649, 16312])).
% 74.14/47.32 tff(34538,plain,
% 74.14/47.32 (v127(constB97, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16457, 34537])).
% 74.14/47.32 tff(34539,plain,
% 74.14/47.32 (v129(constB98, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16462, 34538])).
% 74.14/47.32 tff(34540,plain,
% 74.14/47.32 (~v90(constB98, bitIndex0)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16421, 16312])).
% 74.14/47.32 tff(34541,plain,
% 74.14/47.32 (v100(constB98)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16645, 34540])).
% 74.14/47.32 tff(34542,plain,
% 74.14/47.32 (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1))),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16541, 1020, 34541])).
% 74.14/47.32 tff(34543,plain,
% 74.14/47.32 (v90(constB98, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34542, 34539])).
% 74.14/47.32 tff(34544,plain,
% 74.14/47.32 (v90(constB99, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16656, 34543])).
% 74.14/47.32 tff(34545,plain,
% 74.14/47.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34546,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34547,plain,
% 74.14/47.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1)),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 74.14/47.32 tff(34548,plain,
% 74.14/47.32 (v88(constB99, bitIndex1)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34547, 4297, 34544])).
% 74.14/47.32 tff(34549,plain,
% 74.14/47.32 (~v130(constB97, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16660, 1587, 16312])).
% 74.14/47.32 tff(34550,plain,
% 74.14/47.32 (~v127(constB97, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16668, 34549])).
% 74.14/47.32 tff(34551,plain,
% 74.14/47.32 (~v129(constB98, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16673, 34550])).
% 74.14/47.32 tff(34552,plain,
% 74.14/47.32 ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16680, 1304, 34541])).
% 74.14/47.32 tff(34553,plain,
% 74.14/47.32 (~v90(constB98, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34552, 34551])).
% 74.14/47.32 tff(34554,plain,
% 74.14/47.32 (~v90(constB99, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16690, 34553])).
% 74.14/47.32 tff(34555,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34556,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34557,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34556, 34555])).
% 74.14/47.32 tff(34558,plain,
% 74.14/47.32 (~v88(constB99, bitIndex2)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34557, 12119, 34554])).
% 74.14/47.32 tff(34559,plain,
% 74.14/47.32 (~v90(constB99, bitIndex0)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[16448, 34540])).
% 74.14/47.32 tff(34560,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0)))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34561,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0)))),
% 74.14/47.32 inference(quant_inst,[status(thm)],[])).
% 74.14/47.32 tff(34562,plain,
% 74.14/47.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0))),
% 74.14/47.32 inference(modus_ponens,[status(thm)],[34561, 34560])).
% 74.14/47.32 tff(34563,plain,
% 74.14/47.32 (~v88(constB99, bitIndex0)),
% 74.14/47.32 inference(unit_resolution,[status(thm)],[34562, 4274, 34559])).
% 74.14/47.32 tff(34564,plain,
% 74.14/47.32 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 74.14/47.32 inference(rewrite,[status(thm)],[])).
% 74.14/47.32 tff(34565,plain,
% 74.14/47.32 ((v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99)) <=> ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34566,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99)))),
% 74.14/47.33 inference(monotonicity,[status(thm)],[34565])).
% 74.14/47.33 tff(34567,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 74.14/47.33 inference(transitivity,[status(thm)],[34566, 34564])).
% 74.14/47.33 tff(34568,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34569,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99)),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 74.14/47.33 tff(34570,plain,
% 74.14/47.33 ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v143(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34569, 28498, 34563])).
% 74.14/47.33 tff(34571,plain,
% 74.14/47.33 (v143(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34570, 34558, 34548])).
% 74.14/47.33 tff(34572,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB99) | (~v143(constB99)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB99) | (~v143(constB99)))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34573,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB99) | (~v143(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34574,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB99) | (~v143(constB99))),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34573, 34572])).
% 74.14/47.33 tff(34575,plain,
% 74.14/47.33 (v142(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34574, 28512, 34571])).
% 74.14/47.33 tff(34576,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB99) | (~v142(constB99)))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34577,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB99) | (~v142(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34578,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB99) | (~v142(constB99))),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 74.14/47.33 tff(34579,plain,
% 74.14/47.33 (v167(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34578, 4337, 34575])).
% 74.14/47.33 tff(34580,plain,
% 74.14/47.33 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99)))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34581,plain,
% 74.14/47.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34582,plain,
% 74.14/47.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99))),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 74.14/47.33 tff(34583,plain,
% 74.14/47.33 (~v170(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34582, 4351, 34579])).
% 74.14/47.33 tff(34584,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99)))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34585,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34586,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99))),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 74.14/47.33 tff(34587,plain,
% 74.14/47.33 (v166(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34586, 4362, 34579])).
% 74.14/47.33 tff(34588,plain,
% 74.14/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34589,plain,
% 74.14/47.33 (((~v166(constB99)) | v170(constB99) | (~v163(constB99))) <=> ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34590,plain,
% 74.14/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99)))),
% 74.14/47.33 inference(monotonicity,[status(thm)],[34589])).
% 74.14/47.33 tff(34591,plain,
% 74.14/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 74.14/47.33 inference(transitivity,[status(thm)],[34590, 34588])).
% 74.14/47.33 tff(34592,plain,
% 74.14/47.33 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34593,plain,
% 74.14/47.33 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99)),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34592, 34591])).
% 74.14/47.33 tff(34594,plain,
% 74.14/47.33 (~v163(constB99)),
% 74.14/47.33 inference(unit_resolution,[status(thm)],[34593, 4376, 34587, 34583])).
% 74.14/47.33 tff(34595,plain,
% 74.14/47.33 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB99) | (~v201(constB99)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB99) | (~v201(constB99)))),
% 74.14/47.33 inference(rewrite,[status(thm)],[])).
% 74.14/47.33 tff(34596,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB99) | (~v201(constB99)))),
% 74.14/47.33 inference(quant_inst,[status(thm)],[])).
% 74.14/47.33 tff(34597,plain,
% 74.14/47.33 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB99) | (~v201(constB99))),
% 74.14/47.33 inference(modus_ponens,[status(thm)],[34596, 34595])).
% 74.18/47.33 tff(34598,plain,
% 74.18/47.33 (~v201(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34597, 4390, 34594])).
% 74.18/47.33 tff(34599,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB99) | (~v200(constB99)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB99) | (~v200(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34600,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB99) | (~v200(constB99)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34601,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB99) | (~v200(constB99))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34600, 34599])).
% 74.18/47.33 tff(34602,plain,
% 74.18/47.33 (~v200(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34601, 4401, 34598])).
% 74.18/47.33 tff(34603,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB99) | (~v198(constB99)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB99) | (~v198(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34604,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB99) | (~v198(constB99)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34605,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB99) | (~v198(constB99))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34604, 34603])).
% 74.18/47.33 tff(34606,plain,
% 74.18/47.33 (~v198(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34605, 4412, 34602])).
% 74.18/47.33 tff(34607,assumption,(v18(constB100)), introduced(assumption)).
% 74.18/47.33 tff(34608,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB100))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34609,plain,
% 74.18/47.33 ($false),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34608, 58, 34607])).
% 74.18/47.33 tff(34610,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 74.18/47.33 tff(34611,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34612,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34613,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 74.18/47.33 tff(34614,plain,
% 74.18/47.33 (v22(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34613, 71, 16772])).
% 74.18/47.33 tff(34615,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34616,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34617,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 74.18/47.33 tff(34618,plain,
% 74.18/47.33 ((~v19(constB100)) | v18(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34617, 85, 34614])).
% 74.18/47.33 tff(34619,plain,
% 74.18/47.33 (~v19(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34618, 34610])).
% 74.18/47.33 tff(34620,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34621,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34622,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34621, 34620])).
% 74.18/47.33 tff(34623,plain,
% 74.18/47.33 (v13(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34622, 100, 34619])).
% 74.18/47.33 tff(34624,plain,
% 74.18/47.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34625,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34626,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34625, 34624])).
% 74.18/47.33 tff(34627,plain,
% 74.18/47.33 ((~v13(constB100)) | v9(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34626, 117, 16743])).
% 74.18/47.33 tff(34628,plain,
% 74.18/47.33 (v9(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34627, 34623])).
% 74.18/47.33 tff(34629,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v197(constB99))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB99) | (~v9(constB99)) | v197(constB99))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34630,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v197(constB99))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34631,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB99) | (~v9(constB99)) | v197(constB99)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34630, 34629])).
% 74.18/47.33 tff(34632,plain,
% 74.18/47.33 ((~v9(constB99)) | v197(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34631, 4454, 16425])).
% 74.18/47.33 tff(34633,plain,
% 74.18/47.33 (v197(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34632, 34628])).
% 74.18/47.33 tff(34634,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB99) | (~v197(constB99)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB99) | (~v197(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34635,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB99) | (~v197(constB99)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34636,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB99) | (~v197(constB99))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 74.18/47.33 tff(34637,plain,
% 74.18/47.33 (v196(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34636, 4466, 34633])).
% 74.18/47.33 tff(34638,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB99)) | (~v196(constB99)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB99)) | (~v196(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34639,plain,
% 74.18/47.33 (((~v196(constB99)) | (~v194(constB99))) <=> ((~v194(constB99)) | (~v196(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34640,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB99)) | (~v194(constB99)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB99)) | (~v196(constB99))))),
% 74.18/47.33 inference(monotonicity,[status(thm)],[34639])).
% 74.18/47.33 tff(34641,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB99)) | (~v194(constB99)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB99)) | (~v196(constB99)))),
% 74.18/47.33 inference(transitivity,[status(thm)],[34640, 34638])).
% 74.18/47.33 tff(34642,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB99)) | (~v194(constB99)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34643,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB99)) | (~v196(constB99))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34642, 34641])).
% 74.18/47.33 tff(34644,plain,
% 74.18/47.33 (~v194(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34643, 4477, 34637])).
% 74.18/47.33 tff(34645,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB99) | v198(constB99) | (~v191(constB99)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB99) | v198(constB99) | (~v191(constB99)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34646,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB99) | v198(constB99) | (~v191(constB99)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34647,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB99) | v198(constB99) | (~v191(constB99))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34646, 34645])).
% 74.18/47.33 tff(34648,plain,
% 74.18/47.33 (v198(constB99) | (~v191(constB99))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34647, 4491, 34644])).
% 74.18/47.33 tff(34649,plain,
% 74.18/47.33 (~v191(constB99)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34648, 34606])).
% 74.18/47.33 tff(34650,plain,
% 74.18/47.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34651,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34652,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34651, 34650])).
% 74.18/47.33 tff(34653,plain,
% 74.18/47.33 (v191(constB99) | (~v193(constB100))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34652, 4506, 16743])).
% 74.18/47.33 tff(34654,plain,
% 74.18/47.33 (~v193(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34653, 34649])).
% 74.18/47.33 tff(34655,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB100) | (~v194(constB100)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB100) | (~v194(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34656,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB100) | (~v194(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34657,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB100) | (~v194(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 74.18/47.33 tff(34658,plain,
% 74.18/47.33 (~v194(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34657, 4518, 34654])).
% 74.18/47.33 tff(34659,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB100)) | (~v197(constB100)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB100)) | (~v197(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34660,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB100)) | (~v197(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34661,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB100)) | (~v197(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34660, 34659])).
% 74.18/47.33 tff(34662,plain,
% 74.18/47.33 (~v197(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34661, 4529, 16772])).
% 74.18/47.33 tff(34663,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB100) | (~v200(constB100)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB100) | (~v200(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34664,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB100) | (~v200(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34665,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB100) | (~v200(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 74.18/47.33 tff(34666,plain,
% 74.18/47.33 (~v200(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34665, 4540, 34662])).
% 74.18/47.33 tff(34667,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB100) | (~v198(constB100)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB100) | (~v198(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34668,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB100) | (~v198(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34669,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB100) | (~v198(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34668, 34667])).
% 74.18/47.33 tff(34670,plain,
% 74.18/47.33 (~v198(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34669, 4412, 34666])).
% 74.18/47.33 tff(34671,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB100) | v198(constB100) | (~v191(constB100)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB100) | v198(constB100) | (~v191(constB100)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34672,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB100) | v198(constB100) | (~v191(constB100)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34673,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB100) | v198(constB100) | (~v191(constB100))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34672, 34671])).
% 74.18/47.33 tff(34674,plain,
% 74.18/47.33 (v194(constB100) | (~v191(constB100))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34673, 4491, 34670])).
% 74.18/47.33 tff(34675,plain,
% 74.18/47.33 (~v191(constB100)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34674, 34658])).
% 74.18/47.33 tff(34676,plain,
% 74.18/47.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34677,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34678,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34677, 34676])).
% 74.18/47.33 tff(34679,plain,
% 74.18/47.33 (v191(constB100) | (~v193(constB101))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34678, 4506, 16843])).
% 74.18/47.33 tff(34680,plain,
% 74.18/47.33 (~v193(constB101)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34679, 34675])).
% 74.18/47.33 tff(34681,plain,
% 74.18/47.33 ($false),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34680, 34536])).
% 74.18/47.33 tff(34682,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.18/47.33 tff(34683,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 74.18/47.33 tff(34684,plain,
% 74.18/47.33 (v193(constB97) <=> v193(sK0_VarCurr)),
% 74.18/47.33 inference(monotonicity,[status(thm)],[34683])).
% 74.18/47.33 tff(34685,plain,
% 74.18/47.33 (v193(sK0_VarCurr) <=> v193(constB97)),
% 74.18/47.33 inference(symmetry,[status(thm)],[34684])).
% 74.18/47.33 tff(34686,plain,
% 74.18/47.33 (v193(constB97)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[17, 34685])).
% 74.18/47.33 tff(34687,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34688,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34689,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 74.18/47.33 tff(34690,plain,
% 74.18/47.33 (v88(constB95, bitIndex1)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34689, 4297, 15446])).
% 74.18/47.33 tff(34691,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34692,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34693,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34692, 34691])).
% 74.18/47.33 tff(34694,plain,
% 74.18/47.33 (v88(constB95, bitIndex2)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34693, 4229, 15477])).
% 74.18/47.33 tff(34695,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34696,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34697,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 74.18/47.33 tff(34698,plain,
% 74.18/47.33 (~v88(constB95, bitIndex0)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34697, 4274, 15550])).
% 74.18/47.33 tff(34699,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34700,plain,
% 74.18/47.33 (((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95)) <=> (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34701,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)))),
% 74.18/47.33 inference(monotonicity,[status(thm)],[34700])).
% 74.18/47.33 tff(34702,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 74.18/47.33 inference(transitivity,[status(thm)],[34701, 34699])).
% 74.18/47.33 tff(34703,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34704,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34703, 34702])).
% 74.18/47.33 tff(34705,plain,
% 74.18/47.33 ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34704, 4311, 34698])).
% 74.18/47.33 tff(34706,plain,
% 74.18/47.33 (v144(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34705, 34694, 34690])).
% 74.18/47.33 tff(34707,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB95) | (~v144(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34708,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB95) | (~v144(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34709,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB95) | (~v144(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 74.18/47.33 tff(34710,plain,
% 74.18/47.33 (v142(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34709, 4326, 34706])).
% 74.18/47.33 tff(34711,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB95) | (~v142(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34712,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB95) | (~v142(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34713,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB95) | (~v142(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 74.18/47.33 tff(34714,plain,
% 74.18/47.33 (v167(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34713, 4337, 34710])).
% 74.18/47.33 tff(34715,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB95)) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB95)) | (~v170(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34716,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB95)) | (~v170(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34717,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB95)) | (~v170(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 74.18/47.33 tff(34718,plain,
% 74.18/47.33 (~v170(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34717, 4351, 34714])).
% 74.18/47.33 tff(34719,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB95) | (~v167(constB95)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB95) | (~v167(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34720,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB95) | (~v167(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34721,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB95) | (~v167(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 74.18/47.33 tff(34722,plain,
% 74.18/47.33 (v166(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34721, 4362, 34714])).
% 74.18/47.33 tff(34723,plain,
% 74.18/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB95)) | (~v166(constB95)) | v170(constB95))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB95)) | (~v166(constB95)) | v170(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34724,plain,
% 74.18/47.33 (((~v166(constB95)) | v170(constB95) | (~v163(constB95))) <=> ((~v163(constB95)) | (~v166(constB95)) | v170(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34725,plain,
% 74.18/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB95)) | v170(constB95) | (~v163(constB95)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB95)) | (~v166(constB95)) | v170(constB95)))),
% 74.18/47.33 inference(monotonicity,[status(thm)],[34724])).
% 74.18/47.33 tff(34726,plain,
% 74.18/47.33 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB95)) | v170(constB95) | (~v163(constB95)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB95)) | (~v166(constB95)) | v170(constB95))),
% 74.18/47.33 inference(transitivity,[status(thm)],[34725, 34723])).
% 74.18/47.33 tff(34727,plain,
% 74.18/47.33 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB95)) | v170(constB95) | (~v163(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34728,plain,
% 74.18/47.33 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB95)) | (~v166(constB95)) | v170(constB95)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 74.18/47.33 tff(34729,plain,
% 74.18/47.33 (~v163(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34728, 4376, 34722, 34718])).
% 74.18/47.33 tff(34730,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB95) | (~v201(constB95)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB95) | (~v201(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34731,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB95) | (~v201(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34732,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB95) | (~v201(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 74.18/47.33 tff(34733,plain,
% 74.18/47.33 (~v201(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34732, 4390, 34729])).
% 74.18/47.33 tff(34734,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB95) | (~v200(constB95)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB95) | (~v200(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34735,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB95) | (~v200(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34736,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB95) | (~v200(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 74.18/47.33 tff(34737,plain,
% 74.18/47.33 (~v200(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34736, 4401, 34733])).
% 74.18/47.33 tff(34738,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB95) | (~v198(constB95)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB95) | (~v198(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34739,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB95) | (~v198(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34740,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB95) | (~v198(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34739, 34738])).
% 74.18/47.33 tff(34741,plain,
% 74.18/47.33 (~v198(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34740, 4412, 34737])).
% 74.18/47.33 tff(34742,assumption,(v18(constB96)), introduced(assumption)).
% 74.18/47.33 tff(34743,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34744,plain,
% 74.18/47.33 ($false),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34743, 58, 34742])).
% 74.18/47.33 tff(34745,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 74.18/47.33 tff(34746,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34747,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34748,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 74.18/47.33 tff(34749,plain,
% 74.18/47.33 (v22(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34748, 71, 15605])).
% 74.18/47.33 tff(34750,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34751,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34752,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34751, 34750])).
% 74.18/47.33 tff(34753,plain,
% 74.18/47.33 ((~v19(constB96)) | v18(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34752, 85, 34749])).
% 74.18/47.33 tff(34754,plain,
% 74.18/47.33 (~v19(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34753, 34745])).
% 74.18/47.33 tff(34755,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34756,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34757,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 74.18/47.33 tff(34758,plain,
% 74.18/47.33 (v13(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34757, 100, 34754])).
% 74.18/47.33 tff(34759,plain,
% 74.18/47.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34760,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34761,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 74.18/47.33 tff(34762,plain,
% 74.18/47.33 ((~v13(constB96)) | v9(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34761, 117, 15582])).
% 74.18/47.33 tff(34763,plain,
% 74.18/47.33 (v9(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34762, 34758])).
% 74.18/47.33 tff(34764,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v197(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB95) | (~v9(constB95)) | v197(constB95))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34765,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v197(constB95))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34766,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB95) | (~v9(constB95)) | v197(constB95)),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34765, 34764])).
% 74.18/47.33 tff(34767,plain,
% 74.18/47.33 ((~v9(constB95)) | v197(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34766, 4454, 15422])).
% 74.18/47.33 tff(34768,plain,
% 74.18/47.33 (v197(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34767, 34763])).
% 74.18/47.33 tff(34769,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB95) | (~v197(constB95)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB95) | (~v197(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34770,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB95) | (~v197(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34771,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB95) | (~v197(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34770, 34769])).
% 74.18/47.33 tff(34772,plain,
% 74.18/47.33 (v196(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34771, 4466, 34768])).
% 74.18/47.33 tff(34773,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB95)) | (~v196(constB95)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB95)) | (~v196(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34774,plain,
% 74.18/47.33 (((~v196(constB95)) | (~v194(constB95))) <=> ((~v194(constB95)) | (~v196(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34775,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB95)) | (~v194(constB95)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB95)) | (~v196(constB95))))),
% 74.18/47.33 inference(monotonicity,[status(thm)],[34774])).
% 74.18/47.33 tff(34776,plain,
% 74.18/47.33 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB95)) | (~v194(constB95)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB95)) | (~v196(constB95)))),
% 74.18/47.33 inference(transitivity,[status(thm)],[34775, 34773])).
% 74.18/47.33 tff(34777,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB95)) | (~v194(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34778,plain,
% 74.18/47.33 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB95)) | (~v196(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34777, 34776])).
% 74.18/47.33 tff(34779,plain,
% 74.18/47.33 (~v194(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34778, 4477, 34772])).
% 74.18/47.33 tff(34780,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB95) | v198(constB95) | (~v191(constB95)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB95) | v198(constB95) | (~v191(constB95)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34781,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB95) | v198(constB95) | (~v191(constB95)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34782,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB95) | v198(constB95) | (~v191(constB95))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34781, 34780])).
% 74.18/47.33 tff(34783,plain,
% 74.18/47.33 (v198(constB95) | (~v191(constB95))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34782, 4491, 34779])).
% 74.18/47.33 tff(34784,plain,
% 74.18/47.33 (~v191(constB95)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34783, 34741])).
% 74.18/47.33 tff(34785,plain,
% 74.18/47.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB95, constB96)) | v191(constB95) | (~v193(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB95, constB96)) | v191(constB95) | (~v193(constB96)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34786,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB95, constB96)) | v191(constB95) | (~v193(constB96)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34787,plain,
% 74.18/47.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB95, constB96)) | v191(constB95) | (~v193(constB96))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 74.18/47.33 tff(34788,plain,
% 74.18/47.33 (v191(constB95) | (~v193(constB96))),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34787, 4506, 15582])).
% 74.18/47.33 tff(34789,plain,
% 74.18/47.33 (~v193(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34788, 34784])).
% 74.18/47.33 tff(34790,plain,
% 74.18/47.33 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB96) | (~v194(constB96)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB96) | (~v194(constB96)))),
% 74.18/47.33 inference(rewrite,[status(thm)],[])).
% 74.18/47.33 tff(34791,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB96) | (~v194(constB96)))),
% 74.18/47.33 inference(quant_inst,[status(thm)],[])).
% 74.18/47.33 tff(34792,plain,
% 74.18/47.33 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB96) | (~v194(constB96))),
% 74.18/47.33 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 74.18/47.33 tff(34793,plain,
% 74.18/47.33 (~v194(constB96)),
% 74.18/47.33 inference(unit_resolution,[status(thm)],[34792, 4518, 34789])).
% 74.18/47.34 tff(34794,plain,
% 74.18/47.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB96)) | (~v197(constB96)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB96)) | (~v197(constB96)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34795,plain,
% 74.18/47.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB96)) | (~v197(constB96)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34796,plain,
% 74.18/47.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB96)) | (~v197(constB96))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34795, 34794])).
% 74.18/47.34 tff(34797,plain,
% 74.18/47.34 (~v197(constB96)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34796, 4529, 15605])).
% 74.18/47.34 tff(34798,plain,
% 74.18/47.34 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB96) | (~v200(constB96)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB96) | (~v200(constB96)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34799,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB96) | (~v200(constB96)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34800,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB96) | (~v200(constB96))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34799, 34798])).
% 74.18/47.34 tff(34801,plain,
% 74.18/47.34 (~v200(constB96)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34800, 4540, 34797])).
% 74.18/47.34 tff(34802,plain,
% 74.18/47.34 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB96) | (~v198(constB96)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB96) | (~v198(constB96)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34803,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB96) | (~v198(constB96)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34804,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB96) | (~v198(constB96))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34803, 34802])).
% 74.18/47.34 tff(34805,plain,
% 74.18/47.34 (~v198(constB96)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34804, 4412, 34801])).
% 74.18/47.34 tff(34806,plain,
% 74.18/47.34 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB96) | v198(constB96) | (~v191(constB96)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB96) | v198(constB96) | (~v191(constB96)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34807,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB96) | v198(constB96) | (~v191(constB96)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34808,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB96) | v198(constB96) | (~v191(constB96))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 74.18/47.34 tff(34809,plain,
% 74.18/47.34 (v194(constB96) | (~v191(constB96))),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34808, 4491, 34805])).
% 74.18/47.34 tff(34810,plain,
% 74.18/47.34 (~v191(constB96)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34809, 34793])).
% 74.18/47.34 tff(34811,plain,
% 74.18/47.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB96, constB97)) | v191(constB96) | (~v193(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB96, constB97)) | v191(constB96) | (~v193(constB97)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34812,plain,
% 74.18/47.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB96, constB97)) | v191(constB96) | (~v193(constB97)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34813,plain,
% 74.18/47.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB96, constB97)) | v191(constB96) | (~v193(constB97))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34812, 34811])).
% 74.18/47.34 tff(34814,plain,
% 74.18/47.34 (v191(constB96) | (~v193(constB97))),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34813, 4506, 15717])).
% 74.18/47.34 tff(34815,plain,
% 74.18/47.34 (~v193(constB97)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34814, 34810])).
% 74.18/47.34 tff(34816,plain,
% 74.18/47.34 ($false),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34815, 34686])).
% 74.18/47.34 tff(34817,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.18/47.34 tff(34818,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 74.18/47.34 tff(34819,plain,
% 74.18/47.34 (v193(constB153) <=> v193(sK0_VarCurr)),
% 74.18/47.34 inference(monotonicity,[status(thm)],[34818])).
% 74.18/47.34 tff(34820,plain,
% 74.18/47.34 (v193(sK0_VarCurr) <=> v193(constB153)),
% 74.18/47.34 inference(symmetry,[status(thm)],[34819])).
% 74.18/47.34 tff(34821,plain,
% 74.18/47.34 (v193(constB153)),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[17, 34820])).
% 74.18/47.34 tff(34822,plain,
% 74.18/47.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34823,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34824,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34823, 34822])).
% 74.18/47.34 tff(34825,plain,
% 74.18/47.34 (~v88(constB149, bitIndex2)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34824, 12119, 22911])).
% 74.18/47.34 tff(34826,plain,
% 74.18/47.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 74.18/47.34 inference(rewrite,[status(thm)],[])).
% 74.18/47.34 tff(34827,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 74.18/47.34 inference(quant_inst,[status(thm)],[])).
% 74.18/47.34 tff(34828,plain,
% 74.18/47.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0))),
% 74.18/47.34 inference(modus_ponens,[status(thm)],[34827, 34826])).
% 74.18/47.34 tff(34829,plain,
% 74.18/47.34 (~v88(constB149, bitIndex0)),
% 74.18/47.34 inference(unit_resolution,[status(thm)],[34828, 4274, 22976])).
% 74.18/47.34 tff(34830,plain,
% 74.18/47.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))) <